A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.

Answers

Answer 1

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

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Related Questions

What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?

Answers

Answer:

13 percent

Step-by-step explanation:

Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.

What is decimal multiplier?

A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.

Given,

First decrease = 7%

Second decrease = 20%

Let a number be x.

If x is decreased by 7% then the value of the number is

( (100 - 7) / 100) × x = 0.93 x

Again if 0.93 x is decreased by 20% then the value of the number      ((100 - 20) /100) × 0.93 x = 0.744 x

Hence, The single decimal multiplier is 0.744.

Learn more about decimal multiplier here:

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HELP!!!!! I will gove brainliest

Answers

Answer:

what do u need help on?

Step-by-step explanation:

i don't know what u need help with

A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?

Answers

Answer:

# of 5 dollar bills: 9

# of 1 dollar bills: 6

Step-by-step explanation:

9•5 = 45

1•6 = 6

To Check: 45 + 6=51

9 $5 bills and 6 $1 bills

WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.

Equation: y = __x + __

Answers

Answer:

Step-by-step explanation:

y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept

i am in need of assistance

Answers

The cars speed is 80 miles per hour

The point (3, ) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply. O A. (1,0.4) B. (1.5, 0) oc. (1, 3) OD. (4, 5) E. (15,6). PLEASE HELLPPPPP ​

Answers

Answer:

A)

Step-by-step explanation:

i got iititititiittiitiitititititititt

Can anyone calculate the rise/run for this?

Answers

Answer:

0

Step-by-step explanation:

The slope of any horizontal line will be zero.

Answer:

slope = m = rise/run = 0/8 = 0

Step-by-step explanation:

Well rise/run is how much it rises over how much it runs.

Note it rises by 0 so 0 on top,

Therefore;

no matter it be 0/1 or 0/1241213261238126836128361  the rise/run also known as slope is always gonna be 0

Reasoning:

0 divided by anything is always 0

Hope this helps

Drag the numbers below to put them in order from least to greatest:
-19 -12 -13 9 -4 -1

Answers

-19, -13, -12, -4, -1, 9
-19,-13,-12,-4,-1,9 because negative numbers are smaller than positive because they are not real numbers

Find the values of x and y.
X= __
Y= __

Answers

Answer:

x = 20

y = 100

Step-by-step explanation:

To figure out x do this.

3x + 2x = 7x - 40 (collect like terms)

5x = 7x -40 (subtract 7x on both sides)

-2x = -40 (divide by -2 on both sides)

x = 20

Plug in to get y

Since 7x - 40 and y are vertical they equal the same amount

7(20) - 40 = y (multiply 7 by 20)

140 - 40 = y (collect like terms)

100 = y

Hope this helps ya! Keep smiling!

Simplify the following surd expressions.
a) 5 square root of 5 - 2 square root of 5
b) 8 square root of 7 + 3 square root of 7

Answers

Answer:

A=3√5

B=11√7

Step-by-step explanation:

5√5-2√5

5-2√5

3√5

B) 8√7+3√7

8+3√7

11√7

A ream of paper contains 500 sheets, and a case of paper contains 10 reams. An office supply store gets a delivery of 400 cases. How many sheets of paper are in the delivery? Express your answer in scientific notation.

Answers

Answer:

2,000,000  or 2x10^6

Step-by-step explanation:  Multiply the total number of sheets in a ream times the total number of reams in a case times the number of cases.

There are screws, nuts and bolts in a tool box. The ratio of the number of
Screws to the number of nuts to the number of boits is 2:3:7. The
difference between the number of nuts and the number of bolts is 112.
Find the number of each item​

Answers

Answer:

Step-by-step explanation:

56:84:196 would be the answer

PLEASE HELP This is solving Exponential and Logarithmic Equations I got the other ones, but I don’t even know what this says to be honest please help.

Answers

Answer:

Step-by-step explanation:

We have

[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]

[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]

[tex]x = 2.929947041[/tex]

to the third decimal is 2.930 (i might be wrong on the rounding part)

Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??

Answers

Answer:

Up left, down right

Step-by-step explanation:

First, polynomials with odd degrees will have end behaviors in two different directions.

Since the leading coefficient is negative, the end behavior will be up left and down right.

So, the end behavior is up left, down right.

The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

We have to determine

The end behavior of a 9th-degree polynomial with a negative leading coefficient??

What is a negative leading coefficient?

If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.

What is the equation of 9th-degree polynomial?

The equation of the 9th-degree polynomial is;

[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]

The degree of the polynomial is 9 which is odd.

Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

To know more about Polynomial click the link given below.

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A family paid $18,000 as a down payment for a home. If this only represents 12% of the price of the home, find the full price of the home.

Answers

Answer:

$150,000 (pls mark brainliest if possible)

Step-by-step explanation:

12% = $18,000

1% = $18,000/12 = $1,500

100% = $150,000

Answer:

20160

Step-by-step explanation:

If I am correct give me brainliest :)

12% of 18000 is 2160 and 18000+2160=20160

How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?

100
120
240
720

Answers

Answer:

120

Step-by-step explanation:

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

Learn more about the combination visit:

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How many quaters are in 4 and 3 over 4

Answers

Answer:

19

Step-by-step explanation:

If you're asking how many quarters in 4 3/4

In 1 there are 4 quarters so do 4 multiplied by the 4 quarters which is 16. In 3/4 we have 3 quarters so 16 add the 3 is 19.

Sydney is 5 feet and 1 inch tall. What would her height be in centimeters? (1 foot = 12 inches, 1 inch = 2.54 centimeters) 24.015 centimeters 62.54 centimeters 154.94 centimeters 155.448 centimeters

Answers

Answer:

154.94 cm so pick the third answer.

Step-by-step explanation:

5*12+1=61 total inches.

61*2.54=154.94 cm

Answer:

Answer:

154.94 cm so pick the third answer.

Step-by-step explanation:

5*12+1=61 total inches.

61*2.54=154.94 cm

Step-by-step explanation:

Here are the numbers of children in 12 elementary school classes.
20, 16, 19, 19, 17, 16, 20, 16, 18, 18, 18, 19
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."

Answers

Answer:

18, 19(which has two) 20(has two)

Step-by-step explanation:

Just find the ones that appear more than one time.

Answer:

18

Step-by-step explanation:

Re-arrange

16 16,16,17,18,||18,18||,19,19,19,20,20

Find the middle number

i.e ( 18+18) /2

50 POINTS FOR EACH ANSWER!!! Write the difference of the expressions 17x−13y+8 and 20x+6y and simplify it.

Answers

Answer:

-3x-19y+8

Step-by-step explanation:

Answer:

-3x-19y+8

Step-by-step explanation:

thanks for 50 points.

Give reasons for why it is isosceles ​

Answers

Answer:

because two angles are equal

Write the following using algebraic notation, using the letter x for any
unknown numbers:
I think of a number, add one, then double the result.​

Answers

9514 1404 393

Answer:

  2(x+1)

Step-by-step explanation:

  x . . . I think of a number

  x +1 . . . add 1

  2(x +1) . . . double the result

............................... 6/2(1+2)

Answers

Answer:

9

Step-by-step explanation:

6/2(1+2)

=3*3

=9

Answer:

6

Step-by-step explanation:

6/2 is 3 and 1+2 is three and 3 + 3=6

Solve for x.

−x − 4( 1−x)>1

x −1

x>5/3

x<−1

Answers

Answer: x>  5/3

Step-by-step explanation: Let's solve your inequality step-by-step.

−x−4(1−x)>1

Step 1: Simplify both sides of the inequality.

3x−4>1

Step 2: Add 4 to both sides.

3x−4+4>1+4

3x>5

Step 3: Divide both sides by 3.

3x /3 > 5 /3

x> 5 /3

what is the slope of the graph?

Answers

Answer:-6

Step-by-step explanation:

The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?

Answers

Answer:

26 boys and 39 girls

Step-by-step explanation:

if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.

Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same

Answers

Answer:

The indifference point is 20 minutes

Step-by-step explanation:

Giving the following information:

Tantasic:

Reservation fee of 20$ and $1 per minute

Bettersun:

2$ per minute.

First, we need to structure both total cost formulas:

Tantasic= 20 + 1x

Bettersun= 2x

x= number of minutes

Now, we equal both formulas and isolate x:

20 + 1x = 2x

20 = 1x

20= x

The indifference point is 20 minutes

Answer ASAP Brainliest and 22 Points!

Answers

Answer:

Step-by-step explanation:

1. 5x+8-7x=4x+1              2.

5x-7x+8=4x+1

2x+8=4x+1

-2x+8=4x+1

-2x+8-8=4x+1-8

-2x-8=4x-7

6x=-7

x=7/6

Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer: 100°

Step-by-step explanation: LKO and GKO equal 180°. 180 (total of the supplementary angles) - 80° (LKO) = 100°

IF YOU HAVE ANSWER PLEASE ANSWER

The math teacher said, "Please ___ each expression on the board. Show your work so that I can see how you found the value."

its ether evaluate, operation or commutative

Answers

evaluate. hope this helps
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