Thomas had 12 juice boxes he gave some to his sisters he now has more rhan 5 left.Which inequality can be used to find j the number of juice boxes thomas gave to his sisters?

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.

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.

Answer:

the answer is D

Step-by-step explanation

the ratio of the triangles is 3:1 (you find that out because 21:7 is simplified to 3:1.

when you plug in 6 as x then you get 18:6 which simplifies to 3:1 also

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.

Answer:

correct answer is e. Side-by-side boxplots

Step-by-step explanation:

given data

IQ test

sample = 540 students

solution

here Side-by-side boxplots that is apply it to the data set with 1 quantitative and 1  categorical variable

Side-by-side boxplots is also very useful in the comparing fundamental information for 2 data set

eg median value and range of value they cover from data

and

Side-by-side boxplots also provide target summary and it analysis the data

so here correct answer is e. Side-by-side boxplots

The relation between the two dataset can be shown by placing the

dataset side-by-side, to give a meaningful display.

Correct response:

The number of student in the study = 540

The categories of the data = Oldest/In Between/Youngest

The category of the other data collected = Their score on IQ test

Required:

To choose the option that would be a meaningful display of the data

from the study.

Solution:

The number of categories of the order of birth = 3

Therefore, a meaningful display of the order of birth is possible using a boxplot.

The IQ test scores can be categorized as follows;

Therefore, the dataset for the order of birth and the dataset for the IQ

test score can be presented side-by-side, thereby providing a

meaningful display.

The correct option is therefore;

Learn more about side-by-side boxplots here:

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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:

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

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.

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

Learn more about unit rate at:

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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.

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

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

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

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

Pls mark me brainliest!!!

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.

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

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

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

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.

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.

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.

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

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.

Answer:

B

Step-by-step explanation:

This question is asking to make a conversion from kilolitres to liters.

There is a total of 1000L in 1kL.

Hence to make the conversion from KL to L , we have to multiply the KL by 1000. Hence, for 505KL, its equivalent measurement in L would be 505 * 1000 = 505,000

Hence, 505kL expressed in L is 505,000

Answer:

Step-by-step explanation:

He used a coupon for 1/2 off the price of the bat which is $69. With the coupon applied, the cost of the bat would be 69 × 1/2 = $34.5

He also used a coupon for 1/2 off the price of the glove which is $75. With the coupon applied, the cost of the bat would be 75 × 1/2 = $37.5

Therefore, a numerical expression to find the total cost of the bat, the glove, and 3 baseballs which are 5.50 each would be

34.5 + 37.5 + 3 × 5.5 = $88.5

The total cost of the bat, the glove, and the baseballs is $88.5 and this can be determined by using the given data and arithmetic operations.

Given :

He used a coupon for 1/2 off the price of the bat which is $69 and the glove which is $75.

The following steps can be used to evaluate the total cost:

Step 1 - Find the cost of the bat after the discount.

[tex]= \dfrac{1}{2}\times 69[/tex]

= $34.5

Step 2 - Find the cost of the glove after the discount.

[tex]=\dfrac{1}{2}\times 75[/tex]

= $37.5

Step 3 - Now, evaluate the cost of the baseballs.

[tex]=3\times 5.5[/tex]

= $16.5

Step 4 - Add all the costs to determine the total cost.

= 16.5 + 37.5 + 34.5

= $88.5

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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.

Answer:

a,d,e

Step-by-step explanation:

x=1,x-1=0

x=6

x-6=0

if 1,6 are roots then (x-1) and (x-6) are factors of f(x)

Answer:a,d,e

Step-by-step explanation:

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

Answer:

1.6%

Step-by-step explanation:

The real GDP is given by the nominal GDP divided by the GDP deflator, the real GDP for year 1 and year 2, respectively, were:

[tex]GDP_1=\frac{2250}{0.72}\\GDP_1=\$3,125\ billion\\\\GDP_2=\frac{2,508}{0.79}\\GDP_2=\$3,174.68\ billion[/tex]

The percentage change in GDP is:

[tex]P=\frac{3,174.68-3,125}{3,125}\\ P=0.016=1.6\%[/tex]

Between year 1 and year 2, real GDP rose by 1.6%.

Answer:

b. a person

Step-by-step explanation:

The conducted study demonstrates the commuting patterns of people. Here, the information is collected from a person about amount of time consumes in travel to their work on a certain day of the week. Thus, here the individual is "a person" because the information is collected from a person about their time travel.

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.

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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