A runner ran 2/3 of a race in 21 minutes. They ran the entire race at a constant speed How long did it take to run the entire race?


Answer 1


31.5 minutes

Step-by-step explanation:

21 / 2 = 10.5

10.5 x 3 = 31.5

Related Questions

Sheldon picks tomatoes from his garden. He picked 5 3/10 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten?

A. 4 8/10 kg.
B. 3 4/5 kg.
C. 3 5/10 kg.
D. 3 8/10. kg.


I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

Mr. López has a new house and wants to put a fence around the perimeter of the yard.

How many feet of fencing will he need to buy if his yard is rectangular and measures 100ft by 140ft?

A. 40 ft
B. 280 ft
C. 480 ft
D. 1,400 ft
E. 14,000 ft


Answer: C

Step-by-step explanation:

100ft + 100ft = 200

140ft + 140ft = 280

200ft + 280ft = 480ft

I'll give brainliest if u are right ​




Step-by-step explanation:

write the expanded from of the expression 4(2x-8)



8x - 32

Step-by-step explanation:

please show work, thanks ​



4) 1400 [tex]in^3[/tex]

5) 304[tex]\Pi[/tex] or 954.56[tex]yd^3[/tex]

6) 315 [tex]ft^2[/tex]

Step-by-step explanation:


[tex]V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400[/tex]


[tex]A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi[/tex]

[tex]V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56[/tex]


[tex]h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}[/tex]

[tex]A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5[/tex]

[tex]A_2 = 2(14 * 8) = 2*112 = 224[/tex]

[tex]A = A_1 + A_2 = 91 + 224 = 315[/tex]

I'm not sure what this means, I need major help







The lengths are 240, 320, and 400cm.


The Angle measurements are the same

37, 53, and 90 degrees.

Step-by-step explanation:

Hope this helps

Solve for x: 4(x + 5) = 3(x - 2) -2(x + 2)

I’ll mark brainiest I need an answer ASAP



1: D

2 (but actually 3) B

Step-by-step explanation:

Answer: x=-10

Step-by-step explanation:



Next combine like terms: 4x-3x+2x=-20-6-4


                                             x=- 10

A picture is to be mounted on a board.
10 cm
14 cm
8 cm
11 cm
Show that the picture and the board are not mathematically similar



14 ÷ 10=1.4

Step-by-step explanation:

Buyers are skeptical of a motorcycle advertisement that claims the newest model gets an average of 52 miles per gallon. They believe the dealer is overstating the average. Which null and alternative hypotheses should the buyers test? Let u represent the true average gas mileage.



Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Step-by-step explanation:

We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.

This means the alternative hypothesis will have an average less than 52. Thus;

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Which of the following best describes the equation below?
y = 3/5x+15

A. linear

B. both linear and nonlinear

C. neither linear nor nonlinear

D. nonlinear



hope this helps..lemme know if im wrong <3

Find the fourth proportional of 5,9,4




Step-by-step explanation:

let the third proportion be x

Since 5,9,4,x






The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.



x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse


cos 60 = 4/x

x = 4/cos 60

x = 8

The area of a rectangular field is 4368 m.
If the width of the field is 56 m, what is its length?
Length of the field:




Step-by-step explanation:

We can use the formula of area of rectangle which is the product of length and breadth.

=> A = l * b

=> 4368m² = 56m * l

=> l = 4368m²/56m

=> l = 78m .

Hence the length of the rectangle is 78m.

Write the equation of a line with a slope of 2/3 going through the point (-15, -22)




Step-by-step explanation:

You use the slope point equation which is y-y1=m(x-x1) or y=m(x-x1)+y1 where m is the slope and x1 and y1 are the coordinates you plug in.

Therefore, 2/3 is the slope m and (-15, -22) are the coordinates for x1 and y1.

y=(2/3)(x-(-15)) + (-22)


5. (MGSE9-12.A.CED.2, MGSE9-12.F.BF.1) Which equation is equivalent to f(x) =
-3(x - 2)2 + 14?
A. f(x) = -3x2 + 2
B. f(x) -3x² +26
*C. f(x) = -3x2 - 4x + 18
D. f(x) = -3x2 + 12x + 2


The answer to the problem is C

Sydney asked her friends to write down the number of hours they practice their instruments each week. The data is shown.
1,6,6, 5, 2, 2, 0, 5, 6, 7
What is the median of the data?
O A 2
OB. 4
O c. 5
OD. 6
O E. 7


The median in this data set is C. 5

Definition: This is a polygon with three sides.
Example: Obtuse, right, acute, scalene, isosceles, equilateral, and equiangular are classifications of this


The answer would be Triangle
hope this helps
umm so idrk what the question is but this describes a triangle

20 points pls answer!




Step-by-step explanation:

divide 87.9 by 100

The scatter plot shows the amount of sunlight some tomato plants received and the amount of each plant grew



Option D

Step-by-step explanation:

The complete question is attached herewith.

Also the options for the same are as follows -

What is the meaning of the slope of the trend line shown on the scatterplot?  

A A plant grows about 3 inches for every 2 hours of sunlight it receives.  

B A plant grows about 2 inches for every 3 hours of sunlight it receives.  

C A plant grows about 3 inches for every 1 hour of sunlight it receives.  

D A plant grows about 1 inch for every 3 hours of sunlight it receives.


If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.

At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.

Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.

Hence, option D is correct

A container shaped like a rectangular prism is filled with sugar.It measures 14 inches by 6 inches by 3.5 inches.How much sugar does the container hold?



294 in^3

Step-by-step explanation:

Sugar it can hold can be determined by calculating the volume of the prism

volume of a prism = length x width x height

14 x 6 x 3.5 = 294 in^3

Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 71 beats per minute and a standard deviation of 25 beats per
Use this table or the ALEKS calculator to find the percentage of healthy adults who have resting pulse rates that are less than 83 beats per minute. For your
Intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.2396).



Where’s the table?

Step-by-step explanation:

solve 1x+2y=4, -1x-4y=-14 using elimination
NO LINKS (i need the steps not just the answer)​





-2y=-10, y=5, x=4-10=-6


x = -6

y = 5

Step-by-step explanation:

Add the equations

1x + 2y = 4

-1x - 4y = -14


    -2y = -10

Divide both sides by -2

y = 5

Substitute for y = 5 into either equation

using  1x + 2y = 4

1x + 2(5) = 4

1x + 10 = 4

Subtract 10 from both sides

1x = -6

x = -6


x = -6

y = 5

5x+7y=3914. I'm not quite sure how to write the x and y! First answer will get Brainliest, thanks!



hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".


Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :





Equation of a Straight Line

1.1     Solve   5x+7y-3914  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+7y-3914  = 0 and calculate its properties

Graph of a Straight Line :


Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

 y-intercept = 3914/7  = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

 x-intercept = 3914/5  = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.429/2.000 = -0.714

Geometric figure: Straight Line

 Slope = -1.429/2.000 = -0.714

 x-intercept = 3914/5 = 782.80000

 y-intercept = 3914/7 = 559.14286

Step-by-step explanation:


y= -5/7x+3914/7

Step-by-step explanation:

Slope form is y=mx+b


7y = -5x+3914 minus the 5x from each side

7y=-5x+3914  divide 7 from each side --> y= -5/7x+3914/7

So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off. After 6.25% sales tax, what was the total cost




Step-by-step explanation:


The total cost will be;

⇒ $32.05

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.


Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.

Hence, The sale price = 40% of $50.60

                                  = 40/100 × $50.60

                                  = $20.24

Thus, The price chest of drawers become = $50.40 - $20.24

                                                                 = $30.16

Since, The sales tax = 6.25%

Hence, The sales price = 6.25% of $30.16

                                    = 6.25/100 x 30.16

                                    = $1.89

Thus, The total cost = $30.16 + $1.89

                              = $32.05

Therefore, The total cost will be;

⇒ $32.05

Learn more about the percent visit:



Which of the following statements is true?



C is correct both have 7 as y intercept


Situation 1 has a greater slope I believe

It might be C also.

Correct me if i'm wrong.

I don’t understand this plz help




Step-by-step explanation:

Using Fourmla of distance between two points

round 420.86827 correct to 1 decimal place.
thank u




Step-by-step explanation:

420.86827 ≈ 420.9 because we need to round to one decimal place.

Since 6 is greater than 5, we round 8 up to make it 9


If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which lines are parallel to 8x + 4y = 5? Select all that apply.
A. y = –2x + 10
B. 16x + 8y = 7
C. y = –2x
D. y – 1 = 2(x + 2)



A , B , C

Step-by-step explanation:

1) find the slope of the given line

slope = (-a/b) = (-8/4) = -2

two parallel lines have the same slope

A : correct

B : (-a/b) = -16/8 = -2 (correct)

C : correct

D : wrong (2 is different from -2)

Options A, B, C are all correct

What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.



Solved as the all of above is one question



2 ft above



Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]


What is the most beautiful mathematical equation?

1. You need to write the equation
2. You need the Name.
3. Explain why it is the most beautiful​



Euler's Identity

Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.

Step-by-step explanation:



Step-by-step explanation:

The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.

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