Graham drove 42 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour? Use pencil and paper. Describe a situation in which the unit rate would be easier to work with than the given rate.​

Answers

Answer 1

Answer:

Step-by-step explanation:

42+(1/3)

42*(3/3)+(1/3)

(126/3) + 1/3

126/3 + 1/3 = 127/3 miles

4/3 hours

(127/3)/4/3)

(127/3)*(3/4)

= 127/4 or 31.75 miles/hour

It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).


Related Questions

A company’s stock was selling at $20 a share. A month later, it was selling at $26 a share. What is the percent gain

Answers

Answer:

The percent gain would be 77952515`0%

guys pls help me!!!!!!

Answers

Answer:

X = 126

Step-by-step explanation:

180 - 54 = 126

54+x=180

Algebra 2 11th grade

Answers

4. If x = y + 3, then in the second equation you can write

-3 (y + 3) + 3y = 6

Expanding and simplifying gives

-3y - 9 + 3y = 6

-9 = 6

but this is clearly not true, so this system as no solution.

5. Solve the first equation for x :

x + 2y = 4   ===>   x = -2y + 4

Substitute into the other equation:

2 (-2y + 4) - 3y = 1

-4y + 8 - 3y = 1

-7y = -7

y = 1

Solve for x :

x = -2•1 + 4

x = -2 + 4

x = 2

6. Solve the first equation for y :

2x - y = 6   ===>   y = 2x - 6

Substitute into the other equation:

x + 2 (2x - 6) = -2

x + 4x - 12 = -2

5x = 10

x = 2

Solve for y :

y = 2•2 - 6

y = 4 - 6

y = -2

7. Solve either equation for x :

x + 4y = 10   ===>   x = -4y + 10

Substitute into the other equation:

(-4y + 10) - 2y = -8

-6y = -18

y = 3

Solve for x :

x = -4•3 + 10

x = -12 + 10

x = -2

8. Solve the first equation for y :

-2x + y = 1   ===>   y = 2x + 1

Substitute into the other equation:

4x - 2 (2x + 1) = 5

4x - 4x - 2 = 5

-2 = 5

This is false, so there is no solution.

9. Solve the second equation for x :

-x - 4y = -3   ===>   x = -4y + 3

Substitute into the other equation:

2 (-4y + 3) + 8y = 6

-8y + 6 + 8y = 6

0 = 0

This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.

what is this frfr??????????????????

Answers

Answer:

7

Step-by-step explanation:

7x-6=43

    +6  +6

7x=49

/7   /7

x=7

Answer: x=7

is the answer

How many solutions does this linear system have?

y = -6x+2

-12x - 2y = -4

one solution: (0,0)

O one solution: (1.4)

O no solution

O infinite number of solutions

Answers

Answer:

in finity

Step-by-step explanation:

Both provide ATP molecules, but only fermentation occurs when oxygen is present.

okokoo

The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of linear equations are y = -6x+2 and -12x - 2y = -4

To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.

-12x - 2y = -4

substitute y = -6x + 2 from first equation

-12x - 2(-6x + 2) = -4

Distribute the negative sign

-12x + 12x - 4 = -4

0 = 0

The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.

Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

To learn more on Equation:

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HELP PLZ!!!!!!!!!!! WILL GIVE BRAIN!!!!!!!

Answers

Answer: 1 go to 1 the 2 go to 5 the 3 go to 3 the 4 go to 2 the 5 go to 4

Step-by-step explanation: i hop this helps if not sorry :(

Which answer choice shows that the commutative property does NOT hold for matrix multiplication?

Answers

Answer:

D.

Step-by-step explanation:

AB is NOT equal to BA in matrix multiplication.

It is not commutative.

A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability that you will spin a yellow?

Answers

Answer:

1/4 Percent

Step-by-step explanation:

add all them up and youll get 8 the see the yellow takes up 1/4 percent of the numbers.

PLS HELP WILL MARK BRAINLIEST!

Answers

More than means addition.

C is the correct option.

= (2x + 4) + 9 - 4y + 3x

= 2x + 4 + 9 - 4y + 3x

= 5x + 13 - 4y

= 5x - 4y + 13

Answer:

5x-4y+13 (c)

Step-by-step explanation:

9-(4y-3x)+(2x+4)

9-4y+3x+2x+4

3x+2x-4y+9+4

5x-4y+13

i dentify the given condition anf the unknown

Answers

Answer:

Is there a picture i could go by to answer your question or is this is?

yeah, uhm can someone help me with this?

Answers

Answer:

-24

Step-by-step explanation:

[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]

Anyone know these answers for math??

Answers

Answer:

7) No

8) Yes

Step-by-step explanation:

7) 15 + 2y = -12 - 4y when y = -0.5

15 + (2*-0.5) = -12 - (4*-0.5)

15 + -1 = -12 - (-2)

15 - 1 = -12 + 2

14 = -10

The numbers are different on both sides so -0.5 is not a solution

8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2

5 - 2( (3*2) + 5 ) = 3 - (10*2)

5 - 2( 6 + 5 ) = 3 - 20

5 - 2*11 = 3 - 20

5 - 22 = 3 - 20

-17 = -17

The numbers are similar on both sides so 2 is a solution

Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.​

Answers

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).

R(x, y )= (- y, x )

Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

Learn more about Coordinates:

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PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS
Arrange it in descending order and give the degree of the polynomial.

Answers

Answer:

the degree is 5

they are in decending order

Step-by-step explanation:

What is the slope of the following line?
A. 1/3
B. - 1/3
C. 3
D. - 3

Answers

Answer:

A

Step-by-step explanation:

Points of origin are  (-3,0) and (0,1). Now we determine if it is a positive slope, it is as it goes up not down. It goes up 1 unit and over to the right 3 units, making the slope 1/3.

What percent represents the part of the model shaded green. A.60% B.62.5%. C.66.7% D.75%

Answers

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100


ASAP PLS!!

-GIVING OUT BRAINLIEST

Answers

Answer:

The answer is (C)

Step-by-step explanation:

please help me to solve problems ​

Answers

Step-by-step explanation:

ajhai ans Pani chaiyo ki sabai ko ans pathau

Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.

a. x+60⁰+30⁰=180⁰

x+90⁰=180⁰

x=180⁰-90⁰

x=90⁰

b. x+3x+40⁰=180⁰

collect like terms

4x+40⁰=180⁰

4x=180⁰-40⁰

4x=140⁰

Divide both sides by 4

x=35⁰

c. x+(x+7)+(x+5)=180⁰

3x+12=180⁰

3x=180⁰-12

3x=168⁰

x=168⁰÷3

x=56⁰

d. 52+x+y=180⁰

keeping in mind, two sides of this triangle are equal...

180⁰-52⁰=128⁰

128⁰÷2=64⁰

x=64⁰

x=64⁰ y=64⁰

e. b+a+90⁰=180⁰

right angled triangle

180⁰-90⁰=90⁰

90⁰÷2=45⁰

b=45⁰

b=45⁰ a=45⁰

f. Angles on a straight line equals 180⁰

180⁰-130⁰=50⁰

x=50⁰

Back to the triangle, in which two are equal,

50⁰+x+y=180⁰

180⁰-50⁰=110⁰

110⁰÷2=55⁰

y=55⁰

y=55⁰ z=55⁰

To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.

Solve for X then find the measure of angle B

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 2 angles are equal so

8x - 8 = 5x + 25

3x = 33

x = 11.

m < B = 8(11) - 8 = 80 degrees.

-343 as a power of (-7)

Answers

Answer:

[tex]-342^{-7}[/tex]

Step-by-step explanation:

If we represent 343 as a power of (-7)

we get [tex]-342^{-7}[/tex]

the equation will be this

= -347 × -347 × -347 × -347 × -347 × -347 × -347

Please answer ASAP
The price of a dozen exercise book is 72 dollars find the cost of 18 exercise books

Answers

Answer:

$108

Step-by-step explanation:

Dozen = 12

Use the ratio:

12 ⇒ 7218 ⇒ x

Find x:

x = 72*18/12 = 108

FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1

Answers

Answer:

y

[tex] y2 - 2y - 3[/tex]

[tex](y - 1)(y + 3) [/tex]

[tex](3y - 1)(3y + 3)[/tex]

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

PLEASE help!! I’ll give brainliest!!

The graph shows the number of gallons in a pool being drained and
represents a linear function.

Which statement about this function is correct?

A. The y-intercept is (0, 8500), and the 8500 represents the number
of gallons before draining the pool.

B. The y-intercept is (0, 8500), and the 8500 represents the number of
gallons drained per hour.

C. The y-intercept is (8500, 0) and represents the number of hours it
takes to drain the pool.

D. The y-intercept is (8500,0) and represents the number of gallons
drained per hour.

Answers

Answer:A. The y-intercept is (0, 8500), and the 8500 represents the number

of gallons before draining the pool.

Step-by-step explanation:

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The graph shows the number of gallons in a pool being drained and represents a linear function.

Let 'x' be the number of hours and 'y' be the volume. And the points are (4, 6340) and (6, 5260). Then the equation of the line is given as,

(y - 6340) = [(6340 - 5260) / (4 - 6)] (x - 4)

y - 6340 = - 540x + 2160

y = - 540x + 8500

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

More about the linear equation link is given below.

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Wanda purchased some gifts for her kids and husband online. She bought a doll for $14.59, 2 games for $10.95 each, and 2 movies for $9.99 each. The web site had a promotional offer of $10 off and no shipping fees for any purchase totaling at least $40. Wanda was charged 7.25% tax on her total purchase. How much did Wanda pay for her online purchase?

Answers

Answer:

50.37

Step-by-step explanation:

Graph f(x) = -3/4x - 4.

Answers

Answer:

PLS HELP ME 7

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Its A

Step-by-step explanation:

took the test a while ago

How much is 9396 divided by 18? Use partial quotients to answer.

Answers

Answer:

9396/18 is 522

what fraction of an hour is 5 minutes in its simplest form

Answers

Answer:

1 / 12

Step-by-step explanation:

one hour = 60 minutes

so

5 / 60

= 1 / 12

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

There are 60 minutes in 1 hour , then 5 minutes as a fraction of an hour is

[tex]\frac{5}{60}[/tex] = [tex]\frac{1}{12}[/tex] ← in simplest form

Only answer please please

Answers

Answer: D

Step-by-step explanation:

Answer:$22.50

Step-by-step explanation:

The three friends already paid the entrance fee. The question asks how much MORE will they pay for 5 MORE rides (8-3 rides). Since tickets are $1.50 each, and we have 3 people:

($1.50/ticket)*(5 tickets/person)*(3 persons) = $22.50 more.

[Note how the units cancel, leaving just $]

How far did the cargo ship travel in one hour?

a
The ship travels 50 nautical miles in 1 hour.
b
The ship travels 25 nautical miles in 1 hour.
c
The ship travels 75 nautical miles in 1 hour.
d
The ship travels 100 nautical miles in 1 hour.

Answers

Answer:

needs a image not much information working with

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And here I have lamely related to you the uneventful chronicle of two foolish children in a flat who most unwisely sacrificed for each other the greatest treasures of their house. But in a last word to the wise of these days let it be said that of all who give gifts these two were the wisest.The theme expressed in this paragraph is that I really need help with this question :) We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are life, liberty and the pursuit of happiness. That to secure these rights, governments are instituted among men, deriving their just powers from the consent of the governed. That whenever any form of government becomes destructive to these ends, it is the right of the people to alter or to abolish it, and to institute new government.Source: Thomas Jefferson, President of the United States (1801-1809), The Declaration of Independence, ratified July 4, 1776Based on this excerpt, Jefferson would most likely agree with which ONE of the following statements? Select one:a.A government is only just if it empowers the rights of all people, including women and minorities b.A government is only just if it is based on a hereditary monarchy c.A government is only just if the majority of people agree with the governments decision d.A government is only just if the people have a voice in it Which of the following phrasesabout vitamins and minerals is NOTtrue?A. Fat soluble means they are dissolved and storedin fat.B. Water soluble means they dissolve in water.C. Vitamins are either water soluble or fat soluble.D. Vitamins and minerals are the same thing. the pen or the pencil are fine for the test. is it correct? The diagram shows a triangle.What is the value of c?C= subregion is an area that has special features that make it unique true false 2 sss, aas, sas, or not enough information How can I be a good citizen Answer HereWhy is 0.0123 x 107not in the correct ScientificNotation format? Help me. I wanna conversation simplify simplify simplify brainlest if you answer right. 3x(5+4)=7 what dose that = Rewrite the following sentence using a direct object pronoun. Nosotros comemos las manzanas. Nosotros los comemos. Nosotros las comemos. Nosotros se comemos. Nosotros la comemos. Guys pls help me!!!!! Help me please this is due please help Directions: Convert the equations from standard form to slope intercept form. Eight more than the difference of 5s and 6s is equal to the sum of 3 and 7 pls give the steps and the reasons