Kira ran 8 1/5 miles in 69 7/10 minutes. What is Kira’s average time per mile?

Answers

Answer 1

Answer:

1 mile = 8.5 minutes

Step-by-step explanation:

Determining the equation:

Kira ran 8 1/5 miles in 69 7/10 minutes.

⇒ Kira = 8 1/5 miles = 69 7/10 minutes

⇒ 41/5 miles = 697/10 minutes

Simplifying both sides:

⇒ 41/5 miles = 697/10 minutes

⇒ 41 miles = 697/2 minutes

Using cross multiplication:

⇒ 41 × 2 miles = 697 minutes

⇒ 82 miles = 697 minutes

Dividing 82 both sides:

⇒ 82 miles = 697 minutes

⇒ 82/82 miles = 697/82 minutes

1 mile = 8.5 minutes


Related Questions

Frank and Jerry save quarters in a piggy bank. The bank had $28 in it, then Frank put in F quarters and Jerry put in J quarters. Which expression can be used to represent the amount of money in the bank now? A) FJ + 28 B) 0.25FJ + 28 C) 0.50(F + J) + 28 D) 0.25F + 0.25J + 28

Answers

Answer:

D

Step-by-step explanation:

Huy borrowed $4500 from a bank at a rate of 5% per year compound interest. He paid back the money and interest at the end of 2 years.
How much interest did he pay?

Answers

Answer:

Step-by-step explanation:

FV = PV ( 1 + i)^n       i = decimal interest per period(year)   n = periods(years)

                   FV = future value   PV = present value (deposit or loan amount)

FV = 4500 ( 1 + .05)^2

FV = 4500(1.05)^2 = 4961.25    subtract the orginal deposit  which means 461.25 interest paid at 2 yrs

6 to the power of 3=216. Using exponents, write three more expressions whose value is 216.

Answers

Answer:

i think its (2 x 2^2) (3x3^2)

Step-by-step explanation:

Find the area - HURRY PLS

Answers

Answer:

799.04

Step-by-step explanation:

if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04

12. In a poll taken in March of 2007, Gallup asked 1006 national adults whether they were
baseball fans. 36% said they were. A year previously 37% of a smaller sample had
reported being baseball fans.
a. Find and interpret a 90% confidence interval for the 2007 poll.
b. Would the margin of error be larger or smaller for a 99% confidence interval?
C. Find and interpret a 98% confidence interval.

Answers

The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.

How to calculate the confidence interval?

The margin of error of the 99% confidence interval will be:

= 1.645 × [✓0.36(1 - 0.36)/1006

= 0.024

The margin of error for a 99% confidence interval will be calculated thus:

= 2.576 × [✓0.36(1 - 0.36)/1006

= 0.03898

This implies that margin error increases when there's a higher confidence interval.

Learn more about confidence interval on:

https://brainly.com/question/15712887

i need help 9th grade math

Answers

Answer:

8x+7

Explanation:

f(x) = x + 3

g(x) = 7x + 4

==========

(f+g)(x)f(x) + g(x)x + 3 + 7x + 48x + 7
(f+g)(x)f(x)+g(x)

Put values

x+3+7x+48x+7

Done!

please help to simplify 4+2×-4+8×-1 ​

Answers

4 + (-8) + (-8)
4-8-8
-4-8
-12
Answer:-12

_____________________________________________________

Calculate

[tex]4+2\times (-4)+8\times (-1)[/tex]

_____________________________________________________

Determine the sign for multiplication or division

[tex]4-2\times 4+8\times (-1)[/tex]

[tex]4-2\times 4-8[/tex]

______________________________________________________

Calculate the product or quotient

[tex]4-8-8[/tex]

______________________________________________________

Calculate the sum or difference

[tex]-4-8[/tex]

[tex]-12[/tex]

I hope this helps you

:)

Make y the subject
z+2 = 2/1-y

Answers

y= subject or y1/2=2

WHOEVER HELPS ME WILL GET MARKED BRAINLIEST PLSSSSS HELP

Answers

Answer:

D please mark brainliest

Step-by-step explanation:

Answer:

The answer to your question is D(-6, -3)

Step-by-step explanation:

The sum of two numbers is 37 the larger number is 21 more than the smaller number what are the numbers

Answers

So, let’s start with the beginning.

The sum of two numbers is 37:
This would look like-

a + b = 37

Then the next part

The larger number to 21 more than the smaller number.

So, that would mean that a (let’s say that’s the bigger number) would be 21 more than the smaller number (b).

This would mean:

a = 21 + b.

Now that we know what a is, we can replace it in the equation.

(21 + b) + b = 37

I’m not sure whether you should solve it further or just keep the equation as it is.
If you want me to tell you how to solve the equation just reply in the comments! But i’m sure you can figure it out :)

Answer: a= 24 , B is 13

Step-by-step explanation:

A + B = 37

A = B +21

A triangular banner is to be made according to the specifications in the figure shown, with dimensions given in inches.

image

Wooden sticks will be used to outline the perimeter of the banner in order to attach the interior material.

How many inches of wooden sticks will be required?

Answers

The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

Perimeter of a triangle

The perimeter of a triangle is the sum of the whole three sides.

Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.

The remaining sides of the triangle can be found using Pythagoras theorem.

c² = a² + b²

where

a and b are the legsc = hypotenuse

Therefore,

a² = 13² - 5²

a² = 169 - 25

a = √144

a = 12 inches

Therefore,

b² = 15² - 12²

b² = 225 - 144

b = √81

b = 9 inches

Therefore,

perimeter = 13 + 15 + 5 + 9 = 42 inches

Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

learn more on perimeter here: https://brainly.com/question/16096915

Nate surveyed 90 students at his school about their favorite class. Based on the graph, how many of the 630 students in the school would be expected to say their favorite class is Reading or Math?

Answers

Using proportions, it is found that 420 students in the school would be expected to say their favorite class is Reading or Math.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 90 students, 20 + 40 = 60 students prefer reading or math. How many do out of 630? Thus, the rule of three is given by:

60 prefer reading of math - 90 students.

n prefer reading of math - 630 students.

Applying cross multiplication:

90n = 630 x 60

n = 630 x 60/90

n = 7 x 60

n = 420

420 students in the school would be expected to say their favorite class is Reading or Math.

More can be learned about proportions at https://brainly.com/question/24372153

Solve the triangle. Round to the nearest tenth.

Answers

answer:

213.176 units^2

explanation:
1) find the height

10.8^2+h^2=22.5^2
h^2=389.61

h=19.7

2) use formula to find area

A=1/2bh

A=1/2(21.6)(19.7)

A=213.176

--

if this helped, please consider giving brainliest !

Please answer the 4 questions.

Answers

first slide:

a. not statistical

b. statistical

c. statistical

second slide:

a. yes

b.no

c. yes

d. no

third slide (drop-down question)

a. statistical

b. vary

fourth slide:

the last question, how many miles does each member of the biking club...

PLEASE HELP 20 POINTS!
which statement is true of this graphed function?
A. this function is an even function because it is symmetric about the Y axis
B. this function is an even function because it is symmetric about the origin
C. dysfunction is an odd function because it is symmetric about the origin
D. dysfunction is an odd function because it is symmetric about the Y axis

Answers

Answer:

OPTION C

Step-by-step explanation:

This function is odd function because it is symmetric about the origin

Note:This graph also represents the graph of tanx

I hope it helped you

Answer:

Step-by-step explanation:

please find the area

Answers

Answer:

254.34 m²

Step-by-step explanation:

The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:

3.14 · 9²

3.14 · 81

= 254.34 m²

hope this helps!

Answer:

Area = 254.469004940773 m²

Step-by-step explanation:

formula : (area of a circle)

Area = π × r²

where r is the radius of the circle

[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]

then

Area = π × 9²

        = π × 81

        = 254.469004940773 m²

There is a pair of parallel sides in the following shape. 4 4 6 ​

Answers

Answer:

20 units²

Step-by-step explanation:

[tex]Becanse\ simple\ form:[/tex]

[tex]S=(4+6)\times4\times\frac{1}{2}[/tex]

  [tex]=10\times 2\\ =20\ units\ ^2[/tex]

[tex]algorithm\ rule)[/tex]

I hope this helps you

:)

The area of the shape is 20 square units.

What is a trapezoid?

An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

Given that a shape is in trapezoid form.

The dimensions of the parallel sides are 4 and 6 units.

And a perpendicular side is 4 units.

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)

In this case, the parallel sides have lengths 4 and 6 units, and the perpendicular distance between them is 4 units.

Substituting these values into the formula, we get:

Area = (1/2) × (4 + 6) × 4

Area = (1/2) × 10 × 4

Area = 20 square units

Therefore, the area of the trapezoid is 20 square units.

To learn more about the trapezoid;

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Can someone please help me with this question thank you !!

Answers

Answer:

Area of cube = 6l²

= 6×2²

= 24 ft²

given:

2 feet.

to find:

how many square feet of wood he used to build the box.

solution:

each side measures 2ft.

A=L²=(2 ft)²=4 ft²

A cube has 6 sides so the total quantity of wood is:

Wood=6×A

=6×4 ft²

=24 ft²

he used 24 ft² of wood to build the box.

The height of a triangle is 4 times its base. If the triangle has an area of 162ft^2, find the length of the base and the height.

Answers

Answer:

base is root66 ft and height is 4root66 ft

Step-by-step explanation:

see the picture for full solution

What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2

Answers

Answer:

[tex]equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0[/tex]

Subtract --5x^2-
9x- 8 from
-6x^2 + 5.

Answers

Answer:

-x²+9x+13

Step-by-step explanation:

if your question is (-6x²+5)-(-5x²-9x-8)

-(-a-b)=(a+b)

=-6x²+5+5x²+9x+8

=-6x²+5x²+9x+5+8

=-6x²+5x²+9x+13

Then the answer is -x²+9x+13

if A=(0,0) and B=9(2,5), what is the approximate length of AB

Answers

Answer:

(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa

Step-by-step explanation:

A bird flies up and then down again, approximately following the
parabola y = -0.5x^2 + 15x. y measures height in feet.
Approximately what is the highest height that the bird flew to?

Answers

Answer:

112.5 ft

Step-by-step explanation:

The maximum is achieved at vertex of parabola.

The x- coordinate of the vertex is determined by x = - b/(2a).

x = - 15/(-0.5*2) = 15

The maximum height is the corresponding y- coordinate

y = - 0.5(15²) + 15(15) = 112.5 ft

Find vertex

x coordinate

-b/2a-15/-115

Y coordinate (Max height)

y=-0.5(15)²+15(15)y=-0.5(225)+225y=112.5ft

What is the area of a circle with a diameter of 4x?
(second question): how to deal with loss of a family member..
please help :)

Answers

Answer:4x^2 π

Step-by-step explanation:

Well to solve the area of a circle with diameter with 4x, you need to find the radius which is half the diameter so 4x / 2 = 2x. Then you subsitute that into πr^2 which is 2x^2 π = 4x^2π.I don't have any solution for your second question... sorry...

Hewo!

The answer to your first question: 4x^2 π

To your second..

First, im really sorry about your loss.. it will get better i promise.

But, i would suggest letting it all out. I know its hard right now, so let it out.Get a notebook and keep track of your feelings.. get better soon Lilo..

-Nat

Find the Volume of 2 centimeter 2 centimeter 8 centimeters

Answers

Answer:

32 cm^3

Step-by-step explanation:

Hope it will help you

Answer:

32 cm^3

Step-by-step explanation:

V = L x W x H

V = 2 x 2 x 8

V = 4 x 8

V = 32

The answer would be 32cm^3

I hope it helps! Have a great day!

Your Murderer~

Hello, I am a little confused on how to do this problem. If anyone can help and explain also that will be awesome.

Answers

Answer:

4(5x-2)= 6(x+8)

20x-8=6x+48

20x-6x=48+8

14x=56

[tex]x = \frac{56}{14} [/tex]

x=4

Step-by-step explanation:

hope this helps you!!

XXITSCHOCOLOVERXX

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{5x-2}{6}=\frac{x+8}{4} < == cross\ multiply\\\\4(5x-2)=6(x+8) < ==distribute\\\\4(5x)+4(-2)=6(x)+6(8)\\\\20x-8=6x+48 < ==subtract\ 6x\ from\ both\ sides\\-6x\ \ \ \ -6x\\\\14x-8=48 < == add\ 8\ to\both\ sides\\\ \ \ +8 \ \ \ \ \ \ \ +8\\\\14x=56 < ==divide\ both\ sides\ by\ 14\\/14 \ \ \ /14\\\\x=4 < ==final\ answer[/tex]

Check your answer:

[tex]\frac{5x-2}{6}=\frac{x+8}{4}\\\\\frac{5(4)-2}{6}=\frac{4+8}{4}\\\\\frac{20-2}{6}=\frac{12}{4}\\\\\frac{18}{6}=\frac{12}{4}\\\\3=3[/tex]

This statement is correct

Hope this helps!

Marshall has $700 in an account that earns 13% interest compounded annually.
To the nearest cent, how much interest will he earn in 1 year?

Answers

53.84 i’m pretty sure

Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.

then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

The principal amount (P)= $700

The interest rate(R) = 13%

The period of investment (T) = 1 year

Simple interest

= P×T×R/100

= 700×T×13/100

= 9100/100

= $91

Therefore, the total amount she will receive at the end of a year

= 700 + 91

= $791

Learn more about simple interest here:

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If the diameter of a circle has 4 units, what is its circumference?

Answers

Answer:

The circumference of a circle with diameter 4 is 12.57.

The length of a rectangle is 9 ft and width is 7 ft. Find its perimeter and area​

Answers

Answer:

Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²

Step-by-step explanation:

Given :-

Length of rectangle = 9 feet Width of the rectangle = 7 feet

To Find :-

Perimeter and area

Solution :-

We know that,

Perimeter of rectangle = 2(L + W)

Substituting the values, we get:

↠ Perimeter = 2(9 + 7)

↠ Perimeter = 2(16)

↠ Perimeter = 32 feet

Now,

Area of rectangle = Length × Width

Substituting the values, we get:

↠ Area = 9 × 7

↠ Area = 56 ft²

Hence,

Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²

Find the slope of the line passing through the points of (3,-3) and (1,-1)

Answers

m=y2-y1/x2-z1

=-1--3/1-3

=2/-2

=-1

Answer:

-1

Explanation:

I am going to apply the slope formula to solve this problem:

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

[tex]\sf{m=\dfrac{-1-(-3)}{1-3}}\\\sf{m=\dfrac{-1+3}{-2}}\\\sf{\dfrac{2}{-2}}\\\\\sf{-1}[/tex]

Hence, the slope is -1.

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