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

Find the fourth proportional of 5,9,4




Step-by-step explanation:

let the third proportion be x

Since 5,9,4,x






I don’t understand this plz help




Step-by-step explanation:

Using Fourmla of distance between two points

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'll give brainliest if u are right ​




Step-by-step explanation:

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.

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.

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

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

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

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:



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


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.

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

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

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



8x - 32

Step-by-step explanation:

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

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

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:

20 points pls answer!




Step-by-step explanation:

divide 87.9 by 100

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.

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

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

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]

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

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:

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
Other Questions
What is the volume of the cylinder below?Use 3.14 for pi. Swifty Company has recorded the following items in its financial records. Cash in bank $47,300 Cash in plant expansion fund 102,000 Cash on hand 13,700 Highly liquid investments 36,000 Petty cash 530 Receivables from customers 96,600 Stock investments 63,500 The highly liquid investments had maturities of 3 months or less when they were purchased. The stock investments will be sold in the next 6 to 12 months. The plant expansion project will begin in 3 years. (a) What amount should Swifty report as "Cash and cash equivalents" on its balance sheet? 5. When are blackheads formed?A. when sebaceous glands become cloggedB. when grooves in the epidermis gather dirtC when hair follicles grow inward rather thanoutwardD. when there is an excess of keratin produced PLEASE PLEASE PLEASE HELP ME!!!!!!!!!Choose the algebraic description that maps the image XYZ onto XYZ. Question options: A) (x, y) (x + 6, y 1) B) (x, y) (x 5, y 1) C) (x, y) (x + 5, y 1) D) (x, y) (x 6, y 1) A triangle has side lengths that measure 13 cm, 12 cm and 14 cm. What type of triangle is it? Describe what different people do by completing the sentences with theappropriate present tense form of the verb in parentheses. Which of the following statements accurately reflects the FIT formula for fat control?Question 4 options:To lose 1 pound of fat, you must burn 3,500 more calories than normal.To lose 1 pound of fat, you must eat 3,500 fewer calories than normal.To maintain your weight, you must keep the number of calories you eat and the number you expend the same.All of the statements accurately reflect the FIT formula for fat control.None of the statements accurately reflect the FIT formula for fat control. (PLEASE HELP ILL GIVE BRAINLIEST)Use the pattern in the table to answer the questionWhich function was used to make the pattern? (no random links) PART B: Which phrase from paragraph 13 best supports the answer to Part A?A "Nixon had brought a controversial end to the Vietnam War"watched NASA put astronauts on the moon""presided over a healing period in American history in the early 1970s"D."Despite these many accomplishments"B. Jackie wants to put a paper border around the top of each wall in her bedroom (pictured). How many feet of border paper will Jackie need to purchase? Jose set a goal of saving at least $200 in a savings account. He currently has $60 in theaccount. If he invests $5 of his weekly allowance per week, how many weeks will ittake him to reach his goal? The ways in which Asian economies have changed the global trade scenario in the last few years. If heating 3 g of a substance by 2 C requires X joules of heat, how much heat will be needed to heat 9 g of the same substance by 4 C? Find the range of the data.4.8,5.5,4.2,8.9,3.4,7.5,1.6,3.8The range is A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.b. rightobtuseacuteC. Please help besties! (sorry for the low quality) What effect does a large number of rabbits in an area have on the plants they use for food? Question 2 options: An underpopulation of rabbits results in fewer plants. This situation does not affect other organisms that depend on the same plants for their food. An overpopulation of rabbits results in fewer plants. This situation could also affect other organisms that depend on the same plants for their food. Eastern cottontail rabbits dig nests in the soil to have their young. The rabbits cannot do this if the soil is too hard or rocky. That's why eastern cottontail rabbits live in places where the soil is soft or sandy. 4. PARTB: Which of the following quotes best supports theanswer to Part A?A "John laughs at me, of course, but one expects that inmarriage." (Paragraph 5)B "Iget unreasonably angry with John sometimes. I'm sure!never used to be so sensitive." (Paragraph 25)C "He said we came here solely on my account, that I was tohave perfect rest and all the air I could get." ( Paragraph 31)D "John is away all day, and even some nights when his casesare serious." ( Paragraph 42) An air traffic controller at an airport sights a plane at an angle of elevation of 28.The pilot reports that the plane's altitude is 4500 feet.To the nearest foot, what is the distance from the control tower to the plane?3190 ft8463 ft2113 ft9585 ft Help me please lolll