Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?

Answer:

0.4

Step-by-step explanation:

Equation is

x-(-3.8)=2(x-1.7)

solving for x,

x+3.8=2x-3.4

x=0.4

Final answer:

The value of x is found by setting up an equation based on the distances provided and considering two separate cases for the absolute value. After solving the equation, the positive value of x is determined to be 7.2.

Explanation:

To solve for the value of x in this problem, we need to set up an equation based on the information given about the distances on a number line. The distance between x and -3.8 is twice the distance between x and 1.7. This translates to the following equation:

|x - (-3.8)| = 2|x - 1.7|

We then solve this equation step-by-step:

Therefore, the value of x to the nearest tenth is 7.2.

Answer:

its d

Step-by-step explanation:

if im wrong then sorry :(

Answer:

A

100% Correct ANSWER. Pls, give me brainliest. Thank You!

Answer:

Step-by-step explanation:

let the eq. of circle be a(x²+y²)+bx+cy+d=0

x²+y²+b/a x+c/a y+d/a=0

if it passes through (0,0)

0²+0²+b/a*0+c/a*0+d/a=0

so d=0

Hence x²+y²+b/a x+c/a y=0

if it passes through (1,2) and (3,-1)

1²+2²+b/a×1+c/a×2=0

5+b/a+2c/a=0   ...(1)

and 3²+(-1)²+b/a*3+c/a*(-1)=0

10+3b/a-c/a=0   ...(2)

(1)+2(2) gives

5+b/a+2 c/a+20+6 b/a -2 c/a=0

7 b/a+25=0

b/a=-25/7

from (1)

5-25/7+2 c/a=0

2 c/a+10/7=0

2 c/a=-10/7

c/a=-5/7

so eq. of circle is x²+y²-25/7 x-5/7 y=0

7(x²+y²)-25 x-5 y=0

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.

Answer D.It will increase 8 times.

Step-by-step explanation:

Answer: It will increase 8 times

Step-by-step explanation:

Range simply means the smallest number subtracted from the biggest number. Initially, the scores were 70, 72 and 68 then making the range 68-72 = 4. Now a new score is added which is 100 and it is obviously the biggest number now. So we subtract 68 from 100 that is ; 100-68= 32. This new range is 8 times more than the former. That is, 32/4 = 8.

10n * f  where f is the number of frogs in that community.

Step-by-step explanation:

The growth rate is given as 10g /day

For 10 days, the weight in grams will be 10*10 =100 grams

This means that for n days, the weight gained by a new frog will be; n*10 g

=10n grams

Lets assume the frog community has a population of f frogs, then total weight of the frog community will be;

10n * f  where f is the number of frogs in that community.

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Final answer:

To find the sine of angle ABC, we need to first find the length of the arc BC, which is equal to the circumference of the resulting cylinder. The circumference can be found by multiplying the diameter of the rhombus, which is equal to the length of side AB, by π (pi). In this case, the circumference is 6π. Using the length of the arc, BC, and the radius of the cylinder, we can find the angle ABC using the formula θ = s/r, where θ is the angle in radians, s is the length of the arc, and r is the radius of the cylinder.

Explanation:

To find the sine of angle ABC, we need to first find the length of the arc BC, which is equal to the circumference of the resulting cylinder. The circumference can be found by multiplying the diameter of the rhombus, which is equal to the length of side AB, by π (pi). In this case, the circumference is 6π. Since the volume of the cylinder is given as 6, we can use the formula V = πr^2h to find the height of the cylinder. Plugging in the values, we get 6 = πr^2h. Since the radius of the cylinder is half the length of side AB, which is 3, we can solve for h to find that h = 4/π. Using the length of the arc, BC, and the radius of the cylinder, we can find the angle ABC using the formula θ = s/r, where θ is the angle in radians, s is the length of the arc, and r is the radius of the cylinder. Plugging in the values, we get θ = 6π/3 = 2π.

Answer:

[tex]x + y = 650[/tex]              

Step-by-step explanation:

We are given the following in the question:

Total calories in a bag of carrot and a container of hummus dip = 650

Rosarita's snack:

Some of the bag of carrots and some of the container of hummus.

Total calories in Rosarita's snack = 260

Let x represents the total number of calories in the bag of carrots and y represents the total number of calories in the container of hummus.

Then, we can write the following equation to represent total number of calories in both a bag of carrot and a container of hummus dip:

[tex]x + y = 650[/tex]

Since Rosarita did not eat the whole bag of carrot and the whole container of hummus and also x and y are the total calories in whole bag of carrot and container of hummus respectively.

Answer:

x+y=650

Step-by-step explanation:

its right on edge 8th grade math

Answer:

There were 25 problems on the science quiz

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Grade Manuel got on the science quiz = 80% or 80/100

Number of correct answers = 20

2. How many problems were on the science quiz?

Let's use the Rule of Three Simple, this way:

Problems on the science quiz   Percentage

20                                                    80

x                                                       100

x * 80 = 20 * 100

80x = 2,000

x = 2,000/80

x = 25

There were 25 problems on the science quiz

Answer:

25

Step-by-step explanation:

20 x 100/80 = 25

or 20/80 = x/100

Answer:

  26 2/3

Step-by-step explanation:

The easiest way to find the answer is to look at the graph value for 1 hour. It is slightly more than 25, but the graph isn't detailed enough to let us read a precise value.

The next best way is to find a grid intersection that the line goes through. We observe that (1.5 hours, 40 miles) is on the plotted line, so the proportion is ...

  (40 mi)/(1.5 h) = 26 2/3 mi/h

Answer:

The area is 54

Step-by-step explanation:

6x18 = 108

108 x 1/2 = 54

Answer:

area 51

Step-by-stareaep explanation:

Answer: 0.25 or 25%

Step-by-step explanation:Women have two chromosomes XX and men have two also XY.

From the question, it can be seen that colorblindness is an X-linked recessive condition.

Let the X-linked recessive gene be specified as [tex]X^{-}[/tex] and the dominant gene which is not colorblind linked as [tex]X^{+}[/tex].

The question says the woman has a father who is colourblind which means her father possesses the X-linked recessive gene [tex]X^{-}[/tex] which means he has chromosomes [tex]X^{-}Y[/tex] and therefore must have given his daughter the recessive gene

For her husband who has normal vision his chromosomes will be [tex]X^{+} Y[/tex].

So, the probability that their son will be colourblind will be;

Chromosomes [tex]X^{+}[/tex] Y

[tex]X^{+}[/tex] [tex]X^{+} X^{+}[/tex] [tex]X^{+}Y[/tex].

[tex]X^{-}[/tex] [tex]X^{-} X^{+}[/tex]. [tex]X^{-}Y[/tex].

Therefore, the probability that their son will be color blind = ¼ or 0.25 or 25%

Answer:

The answer is C because the principal goes down and interest goes up. The part of your payment goes to....

Step-by-step explanation:

Answer:

  y = (8/5)√10

Step-by-step explanation:

You seem to have ...

  [tex]y=kx\sqrt{z}[/tex]

We can find k from the given values ...

  [tex]\dfrac{y}{x\sqrt{z}}=k=\dfrac{6}{3\sqrt{9}}=\dfrac{6}{3\cdot 3}=\dfrac{2}{3}[/tex]

Then for the new values, ...

  [tex]y=\dfrac{2}{3}\cdot 4\sqrt{3.6}=\dfrac{8\sqrt{90}}{3\cdot 5}=\dfrac{8\sqrt{10}}{5}[/tex]

Answer:

Step-by-step explanation:

The figure has 4 sides, so is a quadrilateral. Opposite sides are parallel, so the figure is a parallelogram.

Angles are not 90°, so the figure is not a rectangle. Sides are not all the same length, so the figure is not a rhombus. Because the figure has two pairs of parallel sides (not just one pair), it is not a trapezoid.

Answer:

a and b on edge

Step-by-step explanation:

The bonds are being sold at 110.611% of their face value, so each bond costs roughly $1,106.11. Therefore, to purchase three bonds, Sean would need to pay roughly $3,318.33.

When the question states that the bonds are 'selling at 110.611', it means that each bond is sold at 110.611% of its face value, which is $1,000. So to find the price of one bond you would multiply $1,000 by 1.10611 (110.611%), which equals roughly $1,106.11. Thus, if Sean wishes to purchase three bonds, you would simply multiply the price of one bond by three: $1,106.11 times 3 equals $3,318.33. So, Sean should expect to pay approximately $3,318.33 if he wants to purchase three bonds from the city of Tavel Gorge.

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Answer:

The bonds are being sold at 110.611% of their face value, so each bond costs roughly $1,106.11. Therefore, to purchase three bonds, Sean would need to pay roughly $3,318.33.

Step-by-step explanation:

Answer:

Finance Charge = $1.42

New Account Balance = $90.02

Step-by-step explanation:

APR (Annual Percentage Rate) = 22%

Periodic Rate = 1.83% (APR/12)

Beginning Balance = $102.33

Payment made on 15th day = $25.00

Purchase made on 25th day = $11.27

Finance Charge = (Beginning Balance - Payment made on 15th day) x Periodic Rate

Finance Charge = ($102.33 - $25.00) x 0.0183

Finance Charge = $77.33 x 0.0183

Finance Charge = $1.42

New Account Balance = Beginning Balance - Payment made on 15th day + Purchase made on 25th day + Finance Charge

New Account Balance = $102.33 - $25.00 + $11.27 + $1.42

New Account Balance = $90.02

The finance charge is approximately $1.67, and the new account balance after accounting for the payment and purchase is $90.27.

We start with the account balance on April 1st, which is $102.33. On April 15th, a payment of $25.00 is made, and on April 25th, a purchase of $11.27 is made.

1: Calculate the Average Daily Balance

Average Daily Balance = ( (14 * 102.33) + (10 * 77.33) + (6 * 88.60) ) / 30 = $91.22

2: Calculate the Finance Charge

Given the annual interest rate of 22%, we first find the monthly rate: 22% / 12 = 1.833%.

Then we calculate the finance charge:

Finance Charge = Average Daily Balance * Monthly Rate
Finance Charge = $91.22 * 0.01833 ≈ $1.67

3: Calculate New Account Balance

New Balance = Previous Balance - Payment + Purchase + Finance Charge

New Balance = $102.33 - $25.00 + $11.27 + $1.67 = $90.27

The new account balance is $90.27.

Answer:

Step-by-step explanation:

Check the attachment for solution

Step-by-step explanation:

Answer:

A. Stereo Store Job is highest paying Job.

B. The Difference between the weekly salaries of these two jobs is $45.

Step-by-step explanation:

Given:

Annual Pay of job in stereo store =  34.6K

Now K here means (1000).

So we can say that;

Annual Pay of job in stereo store = [tex]\$34.6\times 1000= \$34600[/tex]

Also Given:

Weekly salary of Job at clothing store = $620

We need to find which job is the higher-paying job.

Also We need to find the difference in the weekly salaries of these two jobs

Solution:

First we will find the weekly salary of  job in stereo store.

Now we know that there are 52 weeks in a year.

So weekly salary of  job in stereo store can be calculated by Annual Pay of job in stereo store divided by total number of weeks.

framing in equation form we get;

weekly salary of  job in stereo store = [tex]\frac{34600}{52}=\$665.38[/tex]

Now we see that weekly salary of  job in stereo store is greater than Weekly salary of Job at clothing store.

Hence Stereo Store Job is highest paying Job.

Now we need to find the  difference in the weekly salaries of these two jobs.

difference in the weekly salaries can be calculated by weekly salary of  job in stereo store minus weekly salary of  job in clothing store.

framing in equation form we get;

Difference = [tex]\$665.38-\$620 =\$45.38[/tex]

Rounding to nearest dollar we get;

Difference = $45

Hence the Difference between the weekly salaries of these two jobs is $45.

A. The job in the clothing store is the higher-paying job. B. The difference in the weekly salaries of these two jobs is $45.

To determine which job is higher-paying, we need to compare the annual salaries of both jobs and convert them to weekly salaries for a fair comparison, assuming a standard work year of 52 weeks.

A. Comparing the annual salaries:

1. The job at the stereo store pays $34,600 per year. To find the weekly salary, we divide this amount by 52 weeks:

[tex]\[ \frac{34,600}{52} = 665.38 \][/tex]

So, the weekly salary for the job at the stereo store is approximately $665.38.

2. The job at the clothing store pays a weekly salary of $620.

Now, comparing the weekly salaries:

Stereo store: $665.38 per week

Clothing store: $620 per week

The job at the clothing store pays more per week than the job at the stereo store.

B. Calculating the difference in weekly salaries:

To find the difference between the weekly salaries of the two jobs, we subtract the weekly salary of the stereo store job from the weekly salary of the clothing store job:

[tex]\[ 665.38 - 620 = 45.38 \][/tex]

Rounding to the nearest dollar, the difference in the weekly salaries is approximately $45.

However, the question asks for the difference in the weekly salaries of these two jobs, not the difference in the weekly salary of the stereo store job from the clothing store job. Since the clothing store job pays more, we should actually subtract the weekly salary of the clothing store job from the weekly salary of the stereo store job to find the additional amount the clothing store job pays per week:

[tex]\[ 620 - 665.38 = -45.38 \][/tex]

Since we are looking for a positive difference, we take the absolute value:

[tex]\[ |-45.38| = 45.38 \][/tex]

Rounding to the nearest dollar, the difference in the weekly salaries of these two jobs is approximately $45. However, it seems there was a mistake in the initial answer provided for part B. Let's correct this:

The correct calculation for the difference in weekly salaries is:

[tex]\[ 665.38 - 620 = 45.38 \][/tex]

Rounding to the nearest dollar, the difference is $45.

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: C) 44 mph

Step-by-step explanation:

We know that [tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

Given : A car drives 40 miles on local roads at 20 mph.

i.e. Time taken : [tex]t_1=\dfrac{40}{20}=2\ hour[/tex]

Also, it drives 180 miles on the highway at 60 mph.

i.e. Time taken : [tex]t_2=\dfrac{180}{60}=3\ hour[/tex]

We know that the formula for Average speed is given by :-

[tex]A.V.=\dfrac{\text{Total distance}}{\text{Total Time}}[/tex]

So the average speed of the entire trip will be :-

[tex]\dfrac{40+180}{t_1+t_2}\\\\\\=\dfrac{220}{2+3}=\dfrac{220}{5}\\\\=44[/tex]

Hence, the average speed of the entire trip is 44 mph.

Therefore , the correct answer is C) 44 mph.

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:

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:

The number of fiction books is 500 and non fiction books is 1500.

Step-by-step explanation:

Given:

Total book library contains = 2000.

There are 3 times as many non fiction books as fiction books.

Now, to determine the number of non fiction books and fiction books.

Let the fiction books be [tex]x.[/tex]

And the non fiction books be [tex]3x.[/tex]

Total books = 2000.

Now, to get the number of non fiction books and fiction books we put an equation:

[tex]3x+x=2000.[/tex]

[tex]4x=2000.[/tex]

Dividing both sides by 4 we get:

[tex]x=500.[/tex]

Fiction books = 500.

Non fiction books = [tex]3x=3\times 500=1500.[/tex]

Therefore, the number of fiction books is 500 and non fiction books is 1500.

To solve for the number of nonfiction and fiction books in the library, set up a system of equations and solve them to find there are 500 fiction books and 1500 nonfiction books.

To determine the number of nonfiction and fiction books in the library, we can use a system of equations. Let's denote the number of fiction books as F and the number of nonfiction books as NF. According to the problem, the total number of books in the library is 2000, and there are 3 times as many nonfiction books as there are fiction books.

Our two equations will be:

F + NF = 2000 (Total number of books)

NF = 3F (3 times as many nonfiction books)

To solve these equations:

Substitute the second equation into the first one:

F + 3F = 2000

4F = 2000

Divide both sides by 4 to find F:

F = 2000 / 4

F = 500

There are 500 fiction books. Now we can find the number of nonfiction books by multiplying 500 by 3:

NF = 3 * 500 = 1500

So, the library has 500 fiction books and 1500 nonfiction books.

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Answer:

Step-by-step explanation:

The value of missing coordinate "r" is -4

Solution:

Given that,

The points (1, r) and (4, -13) lie on a line with slope – 3

To find: missing coordinate r

The slope of a line is given by formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Where, "m" is the slope of line

Here in this sum,

m = -3

[tex](x_1, y_1) = (1, r)\\\\(x_2, y_2) = (4, -13)[/tex]

Substituting the values in formula,

[tex]-3 = \frac{-13-r}{4-1}\\\\-3=\frac{-13-r}{3}\\\\-9 = -13 - r\\\\r = -13+9\\\\r = -4[/tex]

Thus the value of missing coordinate "r" is -4

Answer:

The number of shoes Paisley own is 75.

Step-by-step explanation:

Given:

Paisley was organizing her shoe collection.

She counted 24 pairs of sandals.

This represents 32% of the total number of shoes she owns.

Now, to find the number of shoes Paisley own.

Let the number of shoes Paisley own be [tex]x.[/tex]

According to question:

32% of [tex]x[/tex] = 24.

[tex]\frac{32}{100} \times x=24[/tex]

[tex]0.32x=24[/tex]

Dividing both sides by 0.32 we get:

[tex]x=75.[/tex]

Therefore, the number of shoes Paisley own is 75.

Answer:

The total number of shoes Paisley owns = 75

Step-by-step explanation:

Given:

24 pairs of sandals represent 32% of the shoes Paisley owns.

To find the total number of shoes Paisley owns.

Solution:

Let the total number of pairs of shoes be = [tex]x[/tex]

Thus, number of sandals can be represented as:

⇒ 32% of [tex]x[/tex]

⇒ [tex]0.32\times x[/tex]

⇒ [tex]0.32x[/tex]

Number of sandals = 24

So, we can write the equation as:

⇒ [tex]0.32x=24[/tex]

Solving for [tex]x[/tex]

Dividing both sides by 0.32.

⇒  [tex]\frac{0.32x}{0.32}=\frac{24}{0.32}[/tex]

⇒ [tex]x=75[/tex]

Thus, the total number of shoes Paisley owns = 75

Answer:

2,400cm^2

Step-by-step explanation:

This is quite an interesting question.

Now, we know the frame measures 60 by 80. We also know that the thickness of the frame is 10cm in length. Hence from the side of the mirror to the other side of the frame is 10cm.

We have the 10cm on each side of the frame. Making a total of 40cm and 20cm each allowance on the length and breadth of the mirror. The length and breadth of the mirror is thus 40cm by 60cm.

The area of a rectangle is L * B

The area of the mirror is 40 * 60 = 2,400cm^2

The fact that the width of each side of the frame is 10 cm means that each side of the mirror is 20 cm smaller than the corresponding side of the frame. Therefore, the mirror measures 40 cm by 60 cm, with an area of 2400.