You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?

Answer:

3x+4

Step-by-step explanation:

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

Answer:

Step-by-step explanation:

f(x) = 3x - 2   When you see something like f(g(x)) it means that wherever you see an x on the right, you put g(x).

f(g(x)) = 3(g(x)) - 2               Now wherever you see g(x) on the right, you put in x + 2

f(g(x)) = 3(x + 2) - 2            Now remove the brackets

f(g(x)) = 3x + 6 - 2

f(g(x)) = 3x + 4

I'm not sure what the 3 in line 4 means. 3x + 4 seems to be the answer you want however.

Answer:

72

Step-by-step explanation:

I this problem I'm sure you're supposed to multiply: 24 x 3 = 72

hopefully this helped :)

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]8^{15}[/tex] ÷ [tex]8^{-3}[/tex]

= [tex]8^{(15-(-3))}[/tex]

= [tex]8^{(15+3)}[/tex]

= [tex]8^{18}[/tex]

The simplified form is 8^18

The exponent of a number shows how many times the number is multiplied by itself. For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered as major exponents rules to be followed while solving exponents. The properties of exponents are mentioned below.

Given:

8^15÷8^−3

Using

a^m / a^n = a^( m-n)

So,

8^15÷8^−3

=8^(15-(−3))

=8^(15 +3)

=8^18

Learn more about exponents and power here:

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Answer:

34 i think i got it really wrong but...

Step-by-step explanation:

Answer:

It is the second answer.

Step-by-step explanation:

Answer:

its option B

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Answer:

0.326

The dot is going to move to the right which is going to be in between 3 and 2.

Then the answer will be 3.26 ×10^-1

Answer:

3.26 × 10-1 or

[tex] \frac{163}{500} [/tex]

I didnt know which one u needed

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

Answer:

i believe that the answer is y= -1/2 +3.

Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

180 - 117= 63

then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

<F went with side DE

<E went with side FD

The smallest angle was <E therefore the smallest side was FD

The middle angle was <F therefore the medium side was DE

The largest angle was <D therefore the smallest side was FE

I hope this helps!!

Please tell me if I have made a mistake enjoy learning from them!!

If I am correct could you please mark me brainliset? I am trying to level up!!

Thank you for your time:)

Answer:

b) g(x) = Five-sevenths (three-fifths) Superscript negative x

Step-by-step explanation:

both ranges are y<0, you can clearly see this if you plug all of the equations into a graphing calculator

A domain of a function has to do with the set of all possible inputs in a function and contains real numbers.

This refers to the relation or expression that has to do with a number of variables for example, "bx + c" is a function.

Hence, we can see that your question is incomplete so I gave you a general overview to help you get a better understanding of functions and domains.

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Answer:

(5+-1) (2+2

Step-by-step explanation:

Answer:

y > x+1 (D)

Step-by-step explanation:

this equation forms the same graph as shown in the question

Answer:

D, milligram.

Step-by-step explanation:

In latin prefixes, kilo- means 1000, cent- means 1/10, and milli- means 1/1000. This means milli- is the shortest and therefore milligrams are the smallest measurement.

Answer:

Milligram I think

Step-by-step explanation:

I could be wrong however

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

Answer:

15

Step-by-step explanation:

20^2 + x^2 = 25^2

= 400 + x^2 = 625

= x^2 = 225

= x = 15

You know what to do

Multiply the total weight by the percentage

16 ounces x 0.03 = 0.48

0.48 ounces is fat

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

Answer:

[tex]\huge\boxed{x=29;\ y=51}[/tex]

Step-by-step explanation:

This is Isosceles triangle (look at the picture).

We know:

All triangles have internal angles that add up to 180°

Therefore:

[tex](x-2)+(x-2)+(4x+10)=180[/tex]

combine like terms:

[tex](x+x+4x)+(-2-2+10)=180\\\\6x+6=180\qquad|\text{subtract 6 from both sides}\\\\6x=174\qquad|\text{divide both sides by 6}\\\\x=29[/tex]

(x - 2)° and 3y° are supplementary angle (Two Angles are Supplementary when they add up to 180°).

Therefore:

[tex]3y+(x-2)=180[/tex]

substitute x = 29 and solve for y:

[tex]3y+(29-2)=180\\\\3y+27=180\qquad|\text{subtract 27 from both sides}\\\\3y=153\qquad|\text{divide both sides by 3}\\\\y=51[/tex]

The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute

Answer: 25 Plays Total.

60% of 25 is 15

10% of 25 = 2.5

2.5x6=15

Hope This Helps.

Answer:

The answer is 240

Step-by-step explanation:

So since your trying to find the area of 12ft, 4ft, and 5ft you have to multiply them all. So 12x4= 48x5= 240.

Hope this helps :)

Answer: surface area = 240 ft^3

Step-by-step explanation:

Assuming you are talking about the surface area of a rectangular prism, the surface area equation for rectangular prisms is SA = l x w x h (surface area = length x width x height). You multiply 12 by 4 by 5 to get your answer.

Answer:

The answer is 2,400:)

Step-by-step explanation:

8×300 is 2400

Step-by-step explanation:

5/6 ×9/5

Multiply the denominators and the numerators separately; that is:

5×9 and 6×5

45 and 30

=45/30

=3/2(simplified)

Answer:

1.5

Step-by-step explanation:

[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]

Answer:

The value is [tex]81[/tex]

Step-by-step explanation:

We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]

We have

[tex]5\times10+31=50+31\\\\=81[/tex]

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

Answer:

c = $5.50

Step-by-step explanation:

Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:

c = cost of one cheeseburger

s = cost of one soda

Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.

5s + 5c = 33.75

We are given the price of soda, however, so we can insert that number into the equation for s.

5(1.25) + 5c = 33.75

Then we can simplify and solve for c.

6.25 + 5c = 33.75

5c = 27.5

Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.

c = 5.50

So one cheeseburger costs $5.50.

Hope this helps.

Answer:

C

Step-by-step explanation: