Mathematics High School

17)
Gas Mileage
162
135
108
miles
81
54
27
0
0
6
gallons
The graph shows gas mileage for a car. What is the unit rate?
A)
54
miles per gallon
B)
miles per gallon
27
09
27 miles per gallon
D)
54 miles per gallon

17)Gas Mileage162135108miles815427006gallonsThe Graph Shows Gas Mileage For A Car. What Is The Unit Rate?A)54miles

Answers

Answer 1

Answer:

The unit rate = 27 miles per gallon.

Hence, option C is true.

Step-by-step explanation:

From the given line graph:

Taking two points

(2, 54)(6, 162)

The unit rate can be determined by finding the rate of change or slope between the points (2, 54) and (6, 162)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:54\right),\:\left(x_2,\:y_2\right)=\left(6,\:162\right)[/tex]

[tex]m=\frac{162-54}{6-2}[/tex]

Refine

[tex]m=27[/tex]

Therefore, the unit rate = 27 miles per gallon.

Hence, option C is true.

Related Questions

set up the equation


Answers

45° is the correct answer


Write an equation in slope-intercept form for the line with slope -2/3
and y-intercept -4.

Answers

Step-by-step explanation:

Given

slope (m) = - 2/ 3

Y-intercept (c) = - 4

Now writing in Slope intercept form

y = mx + c

y =( - 2/3) x - 4

Hope it will help :)

help please and thank you ​

Answers

All you need to do is that Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

21x+7=133

subtract 7 from both sides:

21x=126

divide 21 by both sides:

x=6

please help me with this one​

Answers

Answer: Choice D

k < 5Graph has an open hole at 5 and shading to the left

============================================================

Explanation:

We solve this as if it were an equation. In other words, we follow the same sort of steps.

To solve k - 3 = 2, we add 3 to both sides getting k = 5

So solving k - 3 < 2 leads to k < 5. The inequality sign does not flip.

To graph k < 5, we will plot an open hole at 5 and shade to the left

The open hole means we do not include 5 as part of the solution set. The graph visually represents all values smaller than 5.

This all leads to choice D being the final answer.

two brothers, richard and andrew share a sum £30 in the ratio 3:7 how much does each brother get?

Answers

7+3 = 10
30/10 = 3
3(3) = 9
7(3) = 21

richard gets 9
andrew gets 21

Answer:

Richard gets: £9

Andrew gets: £21

Step-by-step explanation:

To get the value of 1 part we have to add the total number of parts (3+7) and then divide them by the sum (30) 30/10 = 3 so we know 1 part is £3

Thus Richard gets: £3*3 = £9

And Andrew gets: £3*7 = £21

Please help this is due today and. I need to get it done fast!!!

I will mark Brainliest if there are multiple answers!!!


These shapes (in the photo attached) are similar. Find the value of x.

Please help nobody has been answering!!!

Answers

Answer:

x = 14

Step-by-step explanation:

We can calculate the value of x using similarity ratio

22/4 = x/3 cross multiply expressions

66 = 4x divide both sides by 4

x = 14

How do you find/calculate the rate of change?

Answers

Answer:

The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Step-by-step explanation:

Rate of change is an extremely important financial concept because it allows investors to spot security momentum and other trends. For example, security with high momentum, or one that has a positive ROC, normally outperforms the market in the short term. Conversely, a security that has a ROC that falls below its moving average, or one that has a low or negative ROC is likely to decline in value and can be seen as a sell signal to investors.

The rate of change is also a good indicator of market bubbles. Even though momentum is good and traders look for securities with a positive ROC, if a broad-market ETF, index, or mutual fund has a sharp increase in its ROC in the short term, it may be a sign that the market is unsustainable. If the ROC of an index or other broad-market security is over 50%, investors should be wary of a bubble.

Hope this helps!

Brain-List?

What is the volume of this sphere?

Answers

nswer:

44

Step-by-step explanation:

44 you times it by the radius

Are the ratios 5:3 and 6:4 equivalent?
yes
no

Answers

Answer:

nope

Step-by-step explanation:

The given ratios  5:3 and 6:4 are not equivalent.

What are Equivalent ratios?

Equivalent ratios are the ratios that are the same when we compare them. Example 1/2 and 2/4 are equivalent ratios.

Two or more ratios can be compared with each other to check whether they are equivalent or not.

The given two ratios are 5:3 and 6:4

We can write them as 5/3 and 6/4

Let us apply subtraction, if we get 0 then these are equivalent.

6/4-5/3

The LCM of 4 and 3 is 12

=(18-20)/12

The value of 18-20 is -2

=-2/12

We have to divide 2 by 12 we get -1/6.

=-1/6 not equal to 0

The ratios 5:3 and 6:4 are not equivalent.

To learn more on equivalent ratios click:

https://brainly.com/question/13513438

#SPJ2

Does Anyone How to Solve This?

Answers

Answer:

1.5 is the midpoint

Step-by-step explanation:

Literally it's the Middle

midpoint is middle of line

This is easy but for lines that do not intersect in a point crossing x-axis or y-axis use midpoint formula.

How many ⅔ - cup servings are in ¾ cups of coffee? (Select two answer choices.)

Answers

Answer:

1?

Step-by-step explanation:

im not sure

Is my answer correct?

Answers

Answer:

Yes, your answer is correct.

8y-2x=-72
Standard to slope intercept form.

Answers

Answer: y = 1/4x - 9

Step-by-step explanation:

8y = 2x - 72 (add 2x to both sides)y = 2/8x - 72/8 (simplify)y = 1/4x - 9

Maria has a businesses designing t shirts. Her cost for materials, in thousands of dollars

Answers

What is the question?

How has the "necessary and proper" clause been used to justify the granting of implied powers to Congress? U.S. Constitution Article 1, Section 8. Clause 18 "The Congress shall have Power ... To make all Laws which shall be necessary and proper for carrying into Execution de foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof."


A by giving Congress additional authority if there is a link to an enumerated power in the Constitution

B by permitting Congress to pass any law seen as essential even if it has no link to an enumerated power


C by giving Congress the authority to ignore the Constitution and assume additional unlisted responsibilities

D by allowing Congress to bypass the system of checks and balances and enact laws without presidential approval​

Answers

Answer:

The answer is B "by permitting Congress to pass any law seen as essential even if it has no link to an enumerated power"

Step-by-step explanation:

What does the Necessary and Proper Clause in the Constitution imply about the powers of Congress?

The Congress shall have Power... To make all Laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof.

PLZ THANK GIVE FIVE STARS AND GIVE BRAINLIEST:)

Answer:

B, by permitting Congress to pass any law seen as essential even if it has no link to an enumerated power

Step-by-step explanation:

The necessary and Proper clause was created to limit the powers of the government and also for checks and balances so that no other branch has too much control over the others. Therefore the Congress has the power to make laws that are necessary and proper for carrying into execution de foregoing powers.

Covert 50% into a decimal

Answers

Converting From Percent to Decimal

When we divide 50 by 100 we get 0.5 (a decimal number).

0.25 ( 6g + 32 ) =
Show work please or explain :)

Answers

Answer:

0.25/6+32=32.0416666667

Step-by-step explanation:

I got this answer because i saw that the 0.25 was at the begining of the equation and i thought that was division and then the ones in perenthisis which was 6+32 and i got my answer buy using a calculater but i got the equation by my self.

I NEED HELP
"The Number 9 is "
A.Prime
B.Composite

Answers

The number 9 is composite because it is a product of 3^2 or 3x3.

what is the domain and range , and is it a function ?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

!!PLEASE ONLY ANSWER IF U ACTUALLY KNOW!! GRAPHING!!

Answers

Answer:

-3/5 rise over run left doen arenegative right up are positive

Answer:

I think -5/3.............

do these and ill love you forever, ill give you brainliest too plzz

Answers

Answer:

7:01

12:12

4:29

1:11

3:46

6:33

10:15

5:59

2:22

Step-by-step explanation:

Subtact: (7x + 5) - (3x + 2)​

Answers

Answer:

4x+3

Step-by-step explanation:

subtract 7-3 =4 then you subtract 5-2=3. put it together 4x+3

Answer:

4x + 3

Step-by-step explanation:

1. Remove parentheses.

7x + 5 - 3x + 2

2.Collect like terms.

(7x - 3x) + (5 - 2)

3. simplify.

4x + 3

Therefor, the answer is, 4x + 3

select the table that represents a linear function. (graph them if necessary.)

Answers

Answer:

Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36

Step-by-step explanation:

An art school began ten straight years of material fee increases by raising its material fee from $200 to $287. Find the percent increase

Answers

Answer:

143.5%of200=287

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -x - 8

Step-by-step explanation:

Slope is -1 and y intercept is -8

Need this ASAP!! Would help if you could answer as quick as possible :)

Answers

Answer:

-32p +56

Step-by-step explanation:

distribute the 8 to everything in the parenthesis

Emmet rolls a number cube. In 5 out of 24 trials, he rolls a six. What is the
difference between Emmet's experimental probability of rolling a six, and
the theoretical probability of rolling a six?
A
1
24
B)
1
12

Answers

Answer:

A.

Step-by-step explanation:

Suppose we have a group of 4 girls and 3 boys and we wish to seat them in a row of 7 chairs. In how many ways can the students be seated

Answers

Answer:

5,040 ways

Step-by-step explanation:

Here, we want to find the number of ways they can sit

The total

number here is 3 + 4 = 7

The first person has 7 choices, next has 6 choices and so on

So the total

number of ways will

be :

7! = 5,040 ways

First correct answer gets brainliest! 25 points! Please HELP! I will rlly appreciate it! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In four years, Ben's age will be 3/5 of Amy's age at that time. How many years old is Chris now?

Answers

Answer:

I think it is 10

Step-by-step explanation:

hope this helps

Can someone round this to the nearest hundredth? Thank you in advance
63.5460

Answers

Answer:

63.55

Step-by-step explanation:

63.55 Closer to 63.55 than 63.54
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