Peanuts cost $1.50 per pound. how much does 2 pounds of Peanuts cost?

Answers

Answer 1

Answer:

$3.00

Step-by-step explanation:

If you wanna buy 2 pounds, just time it by 2! $1.50*2=$3.00!

Answer 2

If peanuts cost $1.50 per pound, the cost of 2 pounds of peanuts would be equal to $3.0.

Given the following data:

Cost of peanut = $1.50 per pound.Quantity of peanuts = 2 pounds.

How to calculate the cost of 2 pounds?

In order to determine the cost of 2 pounds of peanuts, we would set up a direct proportion equation as follows:

1 pounds = 1.50 dollars.

2 pounds = X dollars.

Cross-multiplying, we have:

X = 2 × 1.5

X = $3.0

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Related Questions

Car A travels 702 miles on 12 gallons of gasoline car b travels 873 miles and 15 gallons of gasoline David wants to buy a car with the lowest fuel canister find out the distance traveled by each car per gallon of gasoline then tell which of the two cars AorB David should by

Answers

David should buy Car A because it covers more miles in one gallon than Car B

Step-by-step explanation:

Given

Distance traveled by Car A = [tex]d_A = 702\ miles[/tex]

Gallons used by Car A = [tex]g_A = 12[/tex]

Distance traveled by Car B = [tex]d_B = 873\ miles[/tex]

Gallons used by Car B = [tex]g_B = 15[/tex]

In order to find the distance traveled on one gallon, we will divide the total distance by number of gallons

So,

Distance traveled by Car A in one gallon = [tex]\frac{702}{12} =58.5\ miles\ per\ gallon[/tex]

Distance traveled by Car B in one gallon = [tex]\frac{873}{15} = 58.2\ miles\ per\ gallon[/tex]

We can see that Car A travels more distance in one gallon that is 58.5 miles per gallon

So,

David should buy Car A because it covers more miles in one gallon than Car B

Keywords: Fractions, Unit rate

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Car A gets 58.5 miles per gallon, Car B gets 58.2 miles per gallon. David should buy Car A.

Car A: Travels 702 miles on 12 gallons = 702 miles/12 gallons = 58.5 miles per gallon

Car B: Travels 873 miles on 15 gallons = 873 miles/15 gallons = 58.2 miles per gallon

David should buy Car A as it has a slightly higher fuel efficiency of 58.5 miles per gallon compared to 58.2 miles per gallon for Car B.

I don't understand how to solve these problems, someone please explain.

Answers

Answer:

Step-by-step explanation:

When two triangles are similar, it means that the ratio of their corresponding sides is equal.

Therefore

96/(6x + 28) = 24/25

Crossmultiplying,

1) 96 × 25 = 24(6x + 28)

2400 = 144x + 672

144x = 2400 - 672 = 1728

x = 1728/144

x = 12

2) angle A and angle D is equal because they are alternate angles.

(2x + 6)/(x + 6) = 10/8

Crossmultiplying

8(2x + 6) = 10(x + 6)

16x + 48 = 10x + 60

16x - 10x = 60 - 48

6x = 12

x = 12/6 = 2

3) both triangles are right angle triangles. All angles are similar in both triangles. It also means that all the sides are similar. Therefore

45/30 = 40/x

Crossmultiplying

45 × x = 30 × 40

45x = 120

x = 120/45 = 26.7

A chef uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? Use the conversion factors 16 ounces/1 pound and 28.4 grams/1 ounce

Answers

Answer:

The chef uses 5452.8 grams of butter each day.

Step-by-step explanation:

Given:

Chef use 12 pounds of butter each day.

To find the amount of butter in grams used by chef each day.

Conversion units:

1 pound = 16 ounces

1 ounce = 28.4 grams

Solution:

We need to convert 12 pounds of butter in grams of butter.

We will apply unitary method to carry out the conversion.

If 1 pound  =  16 ounces

Then, 12 pounds = [tex]12\ pounds\times\frac{16\ ounces}{1\ pound}= 192\ ounces[/tex]

If 1 ounce = 28.4 grams

Then, 192 ounces = [tex]192\ ounces \times \frac{28.4\ grams}{1\ ounce} = 5452.8\ grams[/tex]

Thus, the chef uses 5452.8 grams of butter each day.

Final answer:

convert 12 pounds to ounces (192 ounces) and then multiply by 28.4 to convert ounces to grams, resulting in 5452.8 grams of butter used per day.

Explanation:

To find out how many grams of butter the chef uses each day, we need to convert pounds to ounces and then ounces to grams.

First, we use the conversion factor that there are 16 ounces in a pound. So, for 12 pounds of butter:
12 pounds × 16 ounces/pound = 192 ounces.

Next, we use the conversion factor that there are 28.4 grams in an ounce. So, for 192 ounces of butter:
192 ounces × 28.4 grams/ounce = 5452.8 grams.

Therefore, the chef uses approximately 5452.8 grams of butter each day.

You are visiting baltimore, MD and a taxi company charges a flat fee of 3.00 for using the taxi and 0.75 per mile. How much woks a taxi ride for 8 miles cost

Answers

Answer: the cost of riding the taxi for 8 miles is $9

Step-by-step explanation:

The taxi company charges a flat fee of 3.00 for using the taxi and 0.75 per mile. This means that the total cost of using the taxi and travelling x miles would be

3 + 0.75x

This is the equation representing the situation.

To find the cost of riding the taxi for 8 miles, we would substitute x = 8 in our equation. It becomes

Therefore, the total cost of riding the taxi for 8 miles would be

3 + 0.75 × 8

= 3 + 6 = $9

A national polling organization wants to estimate the percentage of all teenagers who believe social security will 'be there' for them. The organization surveys a random sample of 1500 teenagers, and 37% of this sample says that they believe social security will 'be there' for them. In this survey, what is the population of interest?
A) The people in the sample who believe social security will 'be there' for them.B) All teenagers.C) The 1500 teenagers who were surveyed.D) Teenagers who believe social security will 'be there' for them.

Answers

Answer: B) All teenagers.

Step-by-step explanation:

In statistical survey , a population is a large group of individuals that share some similar characteristics according to the researchers's point of view or the demand of the study.

When the population very large , then he take a sample of population that represents the whole population.

For example : If a researcher wants know the average weight of women in the university , he will need the data of all women in university which is the population for this study.

As per given :  A national polling organization wants to estimate the percentage of all teenagers who believe social security will 'be there' for them.

Here , the population of interest : All teenagers.

Sample :  1500 teenagers

37% : sample proportion of teenagers says that they believe social security will 'be there' for them.

Hence, the correct answer is : B) All teenagers.

Russia's sister gives him two packs of baseball cards per month each pack has 11 card she gave him three extra packs for his birthday how many cards does Richard get in a year

Answers

Answer:

Russia gets 267 baseball cards in a year.

Step-by-step explanation:

Given:

Number of packs given per month = 2

Number of cards in each pack = 11

Number of cards given on his birthday = 3

Now, we know that, there are 12 months in a year.

Using unitary method, the total number of packs given in year and total cards can be calculated. So,

Packs given in 1 month = 2

∴ Packs given in 12 months = 2 × 12 = 24

Number of cards in 1 pack = 11

Number of cards in 24 packs = 11 × 24 = 264

Now, his birthday will come once in a year. So, additional cards received by him will be 3 only. So,

Total number of cards = Number of cards in 24 packs + Additional cards

Total number of cards = 264 + 3 = 267

Therefore, Russia gets 267 baseball cards in a year.

When there is a _____ relationship, as values of variable X (e.g., income) increase, values of variable Y (e.g., education level) also increase.

Answers

Answer:

When there is a positive relationship, as values of variable X (e.g., income) increase, values of variable Y (e.g., education level) also increase.

Step-by-step explanation:

Consider the provided information.

It is given that the value of variable x increase, and value of variable y also increase.

A positive relationship is when the values increase together or we can say that the value both variable tends to move in same direction. If the value of x  increase then the value of y is also increase.

A Negative relationship is when one value decreases as the other increases.  Or we can say that the value of x increase the value of y decrease.

Hence, the provided relationship is positive as both values moves in same direction.

When there is a positive relationship, as values of variable X (e.g., income) increase, values of variable Y (e.g., education level) also increase.

A rectangular painting measures 15 inches by 18 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its frame is 90 inches. Determine the width of the frame.

Answers

Final answer:

To determine the width of the frame, subtract twice the frame width from the length and width of the outer rectangle and set up an equation based on the perimeter.

Explanation:

To determine the width of the frame, we need to first find the dimensions of the inner rectangle formed by the painting. If we subtract twice the frame width from the length and width of the outer rectangle, we get the length and width of the inner rectangle. Let's call the width of the frame 'x'.

The length of the inner rectangle is 15 inches - 2 inches, and the width of the inner rectangle is 18 inches - 2 inches. The perimeter of the inner rectangle is the sum of its four sides, which can be calculated using the

formula P = 2l + 2w. We know that the perimeter of the inner rectangle is 90 inches, so we can set up the equation:

90 = 2(15 - 2x) + 2(18 - 2x)

Solving this equation will give us the value of 'x', which represents the width of the frame.

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Suppose m is a positive integer. Is the set consisting of 0 and all polynomials with coefficients in F and with degree equal to m a subspace ofP(F)?

Answers

Answer:

For this case we don't have any problems for the conditions 1) and 3), but we have a problem with condition 2) since is not satisfied.

We just need to find a counterexample to show that the statement is False. If we find two elements in the subset provided S, and we show that the sum is not in S, then we have the counter example.

Let's say that we have two elements [tex] a^m +1 , -a^m +1 \in S[/tex] so both elements are in S, and if we apply the condition for the addition closed we got:

[tex] (a^m +1) +(-a^m +1) = a^m -a^m +1+1 = 2[/tex]

And by definition of S, 2 is not in S so then since we can't satisfy the closed addition property then S can't be a subsapce

Step-by-step explanation:

For this case the answer would be no.

It can't be a subspace because we not satisfy the condition of closed under addition.

We need to remember that a subset U of V is a subspace of V if and only if U satisfies the following 3 conditions

1) Additive identity [tex] 0 \in U[/tex]

2) Closed under addition [tex] u,v \in U \Rightarrow u+x \in U[/tex]

3) Cloases under scalar multiplication [tex] a \in F, u \in U \Rightarrow au \in U[/tex]

Proof

For this case we don't have any problems for the conditions 1) and 3), but we have a problem with condition 2) since is not satisfied.

We just need to find a counterexample to show that the statement is False. If we find two elements in the subset provided S, and we show that the sum is not in S, then we have the counter example.

Let's say that we have two elements [tex] a^m +1 , -a^m +1 \in S[/tex] so both elements are in S, and if we apply the condition for the addition closed we got:

[tex] (a^m +1) +(-a^m +1) = a^m -a^m +1+1 = 2[/tex]

And by definition of S, 2 is not in S so then since we can't satisfy the closed addition property then S can't be a subsapce

What kind of transformation is illustrated in this figure?

a. rotation
b. dilation
c. reflection
d. translation

Answers

Answer:

translation

Step-by-step explanation:

It is not a rotation not a dilation, not a reflection

Answer:

i think its rotation plz tell me if im incorrect

Step-by-step explanation:

The full fare is $100, the discounted fare is $70. In the next period (the last one before departure) there will be a request for the discounted fare with probability 0.5, and a full fare request with probability 0.4; probability of no request is 0.1.

Answers

Answer:$78

Step-by-step explanation:

The two events,i.e request for full fare and the request for discounted fare ar mutually exclusive ,i.e if one happens the other cannot and vice versa .

The representation via set diagram will show a disjointed subset while P(AnB)^° is 1- (P(A)+P(B))=0.1.

Where A is the probability of full fare request while B is the probability of discounted request.

Probability (AUB)=P(A)+ P(B)=0.5×100+0.4×70=78.

Popcorn is now available in two different cups at a theater; a square pyramid or a cone. They have the same height of 20 cm. The price of each cup is the same. Which cup is the better deal?

Answers

Answer:

Square pyramid cup is better deal then Cone cup.

Step-by-step explanation:

Diagram is missing in the question we have attached diagram for your reference.

Given:

height of square pyramid = 20 cm

height of cone = 20 cm

Base of square pyramid = 12 cm

diameter of cone = 12 cm

radius of cone is half of diameter.

radius of cone = [tex]\frac{diameter}{2}=\frac{12}{2} = 6\ cm[/tex]

We need to find the which cup is the better deal.

Solution:

We will first find the volume of both cups and then we can say the the one which has greater volume is the better deal in buying.

Volume of square pyramid is calculated by one third times square of the base times height.

framing in equation form we get;

Volume of square pyramid  = [tex]\frac{1}{3}\times 12^2\times20= 960\ cm^3[/tex]

Now we know that;

Volume of cone is calculated by one third times square of the radius times height times π.

framing in equation form we get;

Volume of cone = [tex]\frac{1}{3}\pi r^2h= \frac{1}{3}\pi\times 6^2\times 20 \approx 754cm^3[/tex]

Now we can see that;

Volume of square pyramid cup which [tex]960\ cm^3[/tex] is greater than Volume of cone cup [tex]754\ cm^3[/tex]

Hence Amount of popcorn will be more in square pyramid cup then in cone cup.

Hence Square pyramid cup is better deal then Cone cup.

Brittany picked 5 oranges. She shared them equally between her 7 brothers. What fraction of an orange did each brother receive? A. 1/7 B. 7/5 C. 5/7 D. 1/5

Answers

Answer:

C 5/7

Step-by-step explanation:

you have to split the 5 oranges between the 7 brothers, so you would do 5/7

5 split between 7 is the same as 5/7

Answer:5/7

Step-by-step explanation:

If you take each orange and cut them into 7 pieces then you could pass out one piece of each 1/7 of the oranges to each brother. You would do this 5 times until each brother had 5/7 and all the oranges would be passed out to the brothers.

A least squares regression line was created to predict the Exam 3 score of STA 2023 students based on their Exam 1 score. The study found that the value of R-squared was 28.8% and the least squares regression line was yhat=50.57+0.4845x. What is the correlation coefficient, r?a. 0.54b. -0.54c. 5.37d. -5.37e. 0.08f. -0.08

Answers

Answer:

a) 0.54

Step-by-step explanation:

The correlation coefficient can be found by taking square root of R-squared value and the sign of correlation coefficient can be assessed by considering the sign of slope value. So,

r²=28.8%=28.8/100=0.288

r=[tex]\sqrt{r^{2} }[/tex]=[tex]\sqrt{0.288}[/tex]=0.5367

By rounding to two decimal places the correlation coefficient

r=0.54

We can see that slope=0.4845 has positive sign so, the correlation coefficient contains the positive sign.

Hence the correlation coefficient r=0.54.

At least ____ ​% of healthy adults have body temperatures within 22 standard deviations of 98.32degrees°F. ​(Round to the nearest percent as​ needed.)

Answers

Answer:

95%

Step-by-step explanation:

We are asked to find the percentage of healthy adults have body temperatures within 2 standard deviations of 98.32 degrees°F.

We will use Empirical rule of normal distribution to answer our given problem.

Empirical rule of normal distribution states that 68% of data falls within the first standard deviation from the mean. 95% of data fall within two standard deviations. 99.7% of data fall within three standard deviations.

Therefore, 95% of healthy adults have body temperatures within 2 standard deviations of 98.32 degrees°F.

A two-inch-long grasshopper can jump a horizontal distance of 40 inches. An athlete, who is fi ve feet nine, wants to cover a distance of one mile by jumping. If this person could jump at the same ratio of body-length to jump-length as the grasshopper, determine, to the nearest jump, how many jumps it would take this athlete to jump one mile?

Answers

Answer:

46 jumps

Step-by-step explanation:

Since the grasshopper is two inches long, and can jump a distance of 40 inches, then its jump ratio is 2:40 = 1:20.

The athlete's body-length is 5 feet 9 inches. We convert this to inches which is 5 × 12 = 60 inches. We then add the remaining 9 inches to make it 60 + 9 = 69 inches. Since our jump ratio for the grasshopper equals that for the athlete, 1:20 = 69: 20 × 69= 69 : 1380. Thus the athlete's jump ratio is 69 inches to 1380 inches.

The athlete wants to cover one mile and we know that 1 mile = 63360 inches. So, we divide the distance the athlete wants to cover(1 mile = 63360 inches) by his jump-length(1380 inches) to get the number of jumps it takes to cover a mile. Number of jumps × jump-length of athlete = one mile, so Number of jumps = one mile/jump-length of athlete = 63360 inches/ 1380 inches= 45.9 jumps ≈ 46 jumps.

It would take the athlete approximately 46 jumps to cover one mile.

To solve this problem, we'll start by establishing the jumping ratio of the grasshopper and then applying that ratio to the athlete to determine how many jumps it would take for the athlete to cover one mile.

First, let's calculate the jump ratio for the grasshopper:

- Grasshopper's length: 2 inches

- Grasshopper's jump length: 40 inches

The ratio of the grasshopper's jump length to its body length is:

[tex]\[ \text{Jump ratio} = \frac{40 \text{ inches}}{2 \text{ inches}} = 20 \][/tex]

Next, let's find the athlete's height in inches:

- Athlete's height: 5 feet 9 inches

- 1 foot = 12 inches

Thus, the athlete's height in inches is:

[tex]\[ 5 \text{ feet} \times 12 \text{ inches/foot} + 9 \text{ inches} = 60 \text{ inches} + 9 \text{ inches} = 69 \text{ inches} \][/tex]

Using the grasshopper's jump ratio, we can determine the distance the athlete could jump:

[tex]\[ \text{Athlete's jump length} = 69 \text{ inches} \times 20 = 1380 \text{ inches} \][/tex]

Now, we need to determine the total number of jumps the athlete would need to cover one mile. First, convert one mile to inches:

- 1 mile = 5280 feet

- 1 foot = 12 inches

Therefore, the distance of one mile in inches is:

[tex]\[ 5280 \text{ feet} \times 12 \text{ inches/foot} = 63360 \text{ inches} \][/tex]

Finally, the number of jumps required for the athlete to cover this distance is:

[tex]\[ \text{Number of jumps} = \frac{63360 \text{ inches}}{1380 \text{ inches/jump}} \][/tex]

Calculating this value:

[tex]\[ \text{Number of jumps} \approx \frac{63360}{1380} \approx 45.92 \][/tex]

Since the number of jumps must be a whole number, we round 45.92 to the nearest whole number:

[tex]\[ \text{Number of jumps} \approx 46 \][/tex]

Therefore, it would take the athlete approximately 46 jumps to cover one mile.

Triangle P has a base of 12 inches and a corresponding height of 8 inches triangle Q has a base of 15 inches and a corresponding height of 6.5 inches which triangle has a greater area?

Answers

Answer:

Triangle Q has the greatest area

Step-by-step explanation:

Answer:

Triangle Q is the greatest

Step-by-step explanation:

The value for P is 48

The value for Q is 48.75

*Remember once we get the area of a triangle we must divided by 2*

Therefore, Q has a greater value then P

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The points (4, -11) and (8, r) lie on a line with slope 2. Find the missing coordinate r.

Answers

Following steps and calculations, the missing coordinate r is -3. This point lies on line with slope of 2 along with other given point (4, -11).

Step-by-Step Calculation:

1. Identify the slope formula:

The slope (m) of a line passing through points (x1, y1) and (x2, y2) is calculated as:

m = (y2 - y1) / (x2 - x1)

2. Plug in known values:

We know the slope (m) is 2, points (x1, y1) are (4, -11), and points (x2, y2) are (8, r). Substitute these values:

2 = (r - (-11)) / (8 - 4)

3. Simplify the equation:

2 = (r + 11) / 4

2 × 4 = r + 11

8 = r + 11

4. Isolate r:

8 - 11 = r

r = -3

A college bookstore marks up the price that it pays the publisher for a book by 35 %. If the selling price of a book is $ 87.00 comma how much did the bookstore pay for this​ book?

Answers

Answer:the amount that the bookstore pay the publisher for the book is $64.4

Step-by-step explanation:

Let x represent the amount that the bookstore pay the publisher for the book.

The college bookstore marks up the price that it pays the publisher for a book by 35%. This means that the value of the mark up would be

35/100 × x = 0.35 × x = 0.35x

Therefore, the amount that the bookstore is selling the book would be

x + 0.35x = 1.35x

If the selling price of a book is $ 87.00, then it means that

1.35x = 87

x = 87/1.35 = 64.4

The science club is raising money for a trip to the museum. Tickets to the museum cost $8. Five students already have a membership to the museum, so they will get in for free. The club raised the $296 needed to take all students in the club to the museum.

Answers

Answer:there are 42 students in the club.

Step-by-step explanation:

Let s represent the number of students in the club.

Tickets to the museum cost $8. Five students already have a membership to the museum, so they will get in for free. The club raised the $296 needed to take all students in the club to the museum. This means that

8(s - 5) = 296

8s - 40 = 296

8s = 296 + 40 = 336

s = 336/8

s = 42

Jamie bought a load of gravel to cover her driveway. Her brother works for the gravel company and got her a 28% discount. If Jamie paid $357.83 for the gravel (without tax), what would it have cost her without the discount?

Answers

357.83=.72x
.72 because 100%-28%=72%
Solve
357.83/.72=x
496.986=x
Round up
x=$496.99

Answer:without the discount, it would have cost her $497

Step-by-step explanation:

Let x represent the amount that the gravel would have cost her without the discount.

Her brother works for the gravel company and got her a 28% discount. The value of the discount would be

28/100 × x = 0.28 × x = 0.28x

It mans that the amount that she paid for the gravel is

x - 0.28x = 0.72x

If Jamie paid $357.83 for the gravel (without tax), it means that

0.72x = 357.83

x = 357.83/0.72

x = 496.99

Approximately $497

A researcher wants to determine if preschool attendance is associated with high school graduation for low-income students. She randomly assigns low-income children to two groups; one group will attend preschool program, the second group will not attend preschool. The researcher plans to follow the children in the study for 20 years and observe whether or not they graduate from high school. Which of the following is the response variable in this study?
A) Whether or not a subject graduates high school
B) The length of time it takes a subject to graduate high school
C) Whether or not a subject attends preschool
D) The income status of the children

Answers

Answer:

Option A) Whether or not a subject graduates high school      

Step-by-step explanation:

We are given the following experiment in the question:

Experiment:  if preschool attendance is associated with high school graduation for low-income students.

Independent variable: preschool attendance

The children were divided into two groups, one group will attend preschool program, the second group will not attend preschool.

The response variable is another term for dependent variable.

Here,

Dependent variable: whether or not children will graduate from high school.

Because this is dependent on the variable whether the child attends the preschool or not.

Option A) Whether or not a subject graduates high school

Final answer:

The response variable in the study is A) Whether or not a subject graduates high school. This measures the outcome of the treatment, which is preschool attendance for low-income children.

Explanation:

In this study, the response variable is the outcome that the researcher is trying to measure as a result of manipulating the experimental conditions. The experimental condition in this case is whether the child attends preschool or not. Hence, the response variable would be A) Whether or not a subject graduates high school. The preschool attendance (C) is the independent variable or treatment variable, as it is what the researcher manipulates and controls. The variables of the length of time it takes to graduate (B), and the income status of the children (D) are not the focus of the measurement for the direct effect of preschool attendance.

Low-income children have been observed to have various educational disadvantages compared to their wealthier peers, such as lower standardized test scores, lower graduation rates, and higher dropout rates. The study aims to investigate if attending preschool can help bridge the educational achievement gap that starts before children even enter formal schooling. By assigning low-income children randomly to either attend preschool or not, the researcher can control for other variables and focus on the impact of preschool attendance on high school graduation.

Solve for x. Show all work

3(x + 5) = x - 7

Answers

The answer is x equal -11

Answer: x = -11

Step-by-step explanation: First distribute or multiply through the parentheses on the left side of the equation.

When we do this, we get 3x + 15 = x - 7.

Then subtract x to get 2x + 15 = -7.

Then subtract 15 to get 2x = -22.

Then divide both sides of the equation by 2 and we find that x = -11.

line passes through the points (3 comma 19 )and (7 comma 23 ). Write a linear function rule in terms of x and y for this line.

Answers

Answer:

[tex]y=1x+16[/tex]

Step-by-step explanation:

Two given points are (3,19)  and (7,23)

f(x)=mx+b

slope is m  and b is the y intercept

[tex]slope m =\frac{y_2-y_1}{x_2-x_1} =\frac{23-19}{7-3} =1[/tex]

slope m= 1  (3,19) is (x1,y1)

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-19=1(x-3)[/tex]

[tex]y-19=1x-3[/tex]

Add 19 on both sides

[tex]y=1x+16[/tex]

Final answer:

The linear function rule for the line passing through the points (3, 19) and (7, 23) is found by calculating the slope (which is 1) and using the point-slope form to derive the slope-intercept form y = x + 16.

Explanation:

To write a linear function rule for a line that passes through the points (3, 19) and (7, 23), we need to calculate the slope of the line and use the point-slope form to write the equation.

Finding the Slope (m)

Using the formula for the slope m = (y2 - y1) / (x2 - x1):

m = (23 - 19) / (7 - 3) = 4 / 4 = 1

We can use the point-slope form y - y1 = m(x - x1), where (x1, y1) is a point on the line:

y - 19 = 1(x - 3)

Simplifying this equation to the slope-intercept form (y = mx + b), we get:

y = 1x + 16

Therefore, the linear function rule in terms of x and y for this line is y = x + 16.

An excercise machine with an original price of %850 is on sale at 12% off.
What is the the discount amount?
What is the exercise machine's sale price

Answers

The discount amount of exercise machine is $ 102

The sales price of machine is $ 748

Solution:

Given that,

Original price of machine is $ 850

Discount rate = 12 %

To find: discount amount and sales price of machine

Find the discount amount:

Given that discount rate is 12 % , which means 12 % of original price of machine

Discount amount = 12 % of original price of machine

Discount amount = 12 % of 850

[tex]Discount\ Amount = 12 \% \times 850\\\\Discount\ Amount = \frac{12}{100} \times 850\\\\Discount\ Amount = 0.12 \times 850 = 102[/tex]

Thus the discount amount is $ 102

Find the sales price of machine

Sales price = Original price - Discount amount

[tex]Sales\ Price = 850 - 102\\\\Sales\ Price = 748[/tex]

Thus the sales price of machine is $ 748

A manufacture inspects 800 light bulbs and finds that 796 of them have no defects. What is the experimental probability that a light build chosen at random has no defects

Answers

Answer:

The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.

Step-by-step explanation:

let S be the sample space for the inspection of the light bulbs.

Therefore, n(s) = 800

let ' A ' be the event of no defects bulbs.

Therefore, n(A) = 796

Now the Experiment probability for a light bulb chosen has no defects will be given by,

[tex]P(A)=\dfrac{n(A)}{n(S)}[/tex]

Substituting the values we get

[tex]P(A)=\dfrac{796}{800}=0.995[/tex]

The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.

Suppose you buy a car with a value of $8,500. Each year the value of your car will depreciate by 4.7%. How much will your car be worth in 6 years?

A) $11,196.93
B) $6,779.17
C) $7,488.42
D) $6,367.61

Answers

Answer:

D

Step-by-step explanation:

y=a(1-r)^n

a is the initial cost of the vehicle

r is the percentage decrease in decimal

n is the number of years.

so y as the final cost is computed as:

8500(1-0.047)^6

we get $6367.61

Out of 229 racers who started the Eugene marathon, 208 completed the race, 17 gave up, and 4 were disqualified. What percentage of racers did not complete the marathon?

Answers

Answer:

9.17% of racers did not complete the marathon.

Step-by-step explanation:

Consider the provided information.

Out of 229 racers who started the Eugene marathon.

208 completed the race, 17 gave up 4 disqualified .

Then total racers who could not complete the marathon  is

229-208=21

Now calculate the percentage:

[tex]Percentage=\frac{21}{229}\times 100\\\\Percentage=\frac{2100}{229}\\\\Percentage\approx9.17[/tex]

Hence, 9.17% of racers did not complete the marathon.

For triangle JKL, angle JKL measures 90 degrees, and side JL has a length of 260 centimeters. If side JK > side KL, which of the following could be a combination of the lengths of sides JK and KL50 / 100 / 120 / 200 / 240.

Answers

Answer:

100/240/260 will be the combination.

Step-by-step explanation:

In a right angle triangle JKL,

∠JKL = 90° and side JL is the hypotenuse of the triangle.

By Pythagoras theorem,

JK² + KL² = JL²

Since JL = 260

Therefore, (JK)² + (KL)²= (260)² = 67600

In the given options, square of two numbers total becomes 67600.

And the possible numbers will be 100 and 240.

(100)² + (240)² = 10000 + 57600 = 67600

Since side JK > side KL

Therefore, measure of JK = 240 cm, KL = 100 cm and JL = 240 cm could be the combination among all values.

Five pounds of candy that is 20% chocolate is combined with a candy that is 40% chocolate. How many pounds of the candy that is 40% chocolate should be used to get a candy that is 25% chocolate?

Answers

Answer:

5/3 pounds

Step-by-step explanation:

Five pounds of candy that is 20% chocolate is combined with a candy that is 40% chocolate

Let x be the pounds of candy that is added with 40% of chocolate

5 pounds that is 20%. 20% = 0.2

x pounds that is 40%. 40% = 0.4

mixture is x+5 pounds that is 25%. 25%= 0.25

[tex]0.2(5)+0.4x=0.25(x+5)[/tex]

[tex]1+0.4x=0.25x+1.25[/tex]

Subtract .25x from both sides

[tex]1+0.15x=+1.25[/tex]

Subtract 1 from both sides

[tex]0.15x=0.25[/tex]

divide both sides byu 0.15

x=5/3 pounds

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