You spent $34 for 8.5 gallons of gasoline. At
the same price per gallon, how many gallons
could you buy for $51?

Answer:

f(g(x)) = 722, and g(f(x)) = 154

Step-by-step explanation:

f(x) = 2x²

g(x) = 3x + 4

g(f(x)) = 3(2x²) + 4

g(f(5)) = 3(2 × 5²) + 4

g(f(5)) = 3(2 × 25) + 4

g(f(5)) = 3 × 50 + 4

g(f(5)) = 154

f(g(x)) = 2(3x + 4)²

f(g(5)) = 2(3 × 5 + 4)²

f(g(5)) = 2 × 19²

f(g(5)) = 2 × 361

f(g(5)) = 722

Answer:

13 in

Step-by-step explanation:

just add all the numbers lol

Answer:

the perimeter of the triangle is 13[tex]in^{2}[/tex]

Step-by-step explanation:

All you have to do is add up all the sides together, but first we need to find a common denominator, and it can be 12

[tex]3\frac{1}{3}[/tex] = [tex]\frac{10}{3} = \frac{40}{12}[/tex] ( i multiplied them by 4 (numerator and denominator))

[tex]4\frac{1}{6} = \frac{25}{6} = \frac{50}{12}[/tex] ( i multiplied them by 2 (numerator and denominator))

[tex]5\frac{1}{2} = \frac{11}{2} = \frac{66}{12}[/tex] ( i multiplied them by 6 (numerator and denominator))

Now that you have a common denominator for all 3 fractions, you can now add them all up

[tex]\frac{40}{12} + \frac{50}{12} + \frac{66}{12}[/tex]

Now to add, the denominator has to stay the same (12), and add up all the numerators

[tex]\frac{40}{12} + \frac{50}{12} = \frac{90}{12} + \frac{66}{12} = \frac{156}{12} = 13 (simplified)[/tex]

Hope this helped!

Answer:

O

Step-by-step explanation:

They reflected the image but when you closely look at it you can see that F is in the same spot as O so they are congruent.

Hope this helps :)

Step-by-step explanation:

[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } \\ = \sqrt{ \frac{7}{9} } - \sqrt[3]{27} \\ = \frac{ \sqrt{7} }{3} - 3 \\ = \frac{ \sqrt{7} - 9}{3} [/tex]

Answer:

Increased by 37.5%

Step-by-step explanation:

1. Approach

First, find the amount by which the bill increased. This can be found by subtracting the final amount from the previous amount. Then set up a proportion to find out the percent by which the bill increased. Remember, a proportion is;

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

2. Find the increase

Subtract the bill in March from the bill in June;

June - March

110 - 80

= 30

3. Find the percent change

In this case, these are the value which will be used;

[tex]\frac{increase}{March} = \frac{percent}{100}[/tex]

[tex]\frac{30}{80} = \frac{percent}{100}[/tex]

80 percent = 3000

percent = 37.5

Answer:

1/3

Step-by-step explanation:

Answer:

Who is Mrs. Thomas?

Step-by-step explanation:

Answer:

A) 3:9 => 1:3

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Step-by-step explanation:

The simplest form of the ratios are as follows:

A) 3:9

Dividing the ratio by 3

1:3

B) 12:36

Dividing the ratio by 12

1:3

C)13:39

Dividing the ratio by 13

1:3

D) 71:213

Dividing the ratio by 71

1:3

E) 142:213

Dividing the ratio by 71

2:3

F) 38:57

Dividing the ratio by 19

2:3

G) 33:44

Dividing the ratio by 11

3:4

H) 31:42

The ratio is already in simplest form as 31 and 42 don't have a common multiple.

Or it might be mistakenly typed 31 instead of 21

Then the simplest form will be:

21:42

1:2

Hence,

A) 3:9 => 1:2

B) 12:36 => 1:3

C) 13:39 => 1:3

D) 71:213 => 1:3

E) 142:213 => 2:3

F) 38:57 => 2:3

G) 33:44 => 3:4

H) 31:42 => 31:42 or 21:42 => 1:2

Answer:

x=1

Step-by-step explanation:

Answer:

A is 12

Step-by-step explanation:

It's going by 4's

Answer:

Solution :

********************************************

Two angles are said to be a pair of

adjacent angles if they have a common

arm and lie on the either sides of the

common arm .

***********************************************

Now ,

i ) a , b are a pair of adjecent angles .

ii ) c , d are pair of adjecent angles.

iii ) e, f are not adjecent angles .

Step-by-step explanation:

total = green marbles + red marbles + blue marbles

55 = 15 + 12 + blue marbles

55 = 27 + blue marbles

55 - 27 = blue marbles

28 = blue marbles

Answer:

a = -1

b= 1

Step-by-step explanation:

8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1

but in a, only 8 is in the absolute value bars, not the complete answer

Answer:

C

Step-by-step explanation:

Yeyeyeeyeyeyeeyeeypok2kd

Answer:

x= 95/2  or  x=47.5  or   47 1/2

Step-by-step explanation:

3x + 10 = 5(x - 17)

First Step:

multiply and combine the right side (parentheses)

5 times x = 5x         5 times -17 = -85

3x + 10 = 5x -85

Second Step:

Add like terms ----> which is: 3x and 5x -----10 and -85

BUT since you only want one x on one side, you combine x first.

3x + 10 = 5x -85

-5x         -5x

-2x + 10 = -85

NOW

Third Step:     Add the integers---> 10 and -85

you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.

which brings you:

-2x + 10 = -85

       -10    -10

NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.

so now we have:

-2x = -95

Step Four:

divide -2 from each side to get X alone

-2x = -95

-2      -2

ANSWER:

x=47.5

Answer:

1. C

2. C

Step-by-step explanation:

1. 5x+12=57

Subtract 12 from both sides

5x=45

Divide both sides by 5

x=9

2.  7-4x=12-3x

Combine like terms =

-4x+3x=-12-7

x=-12-7

x=19

Answer:

9 sleeves for 22.99

Step-by-step explanation

The first pack has a unit rate of $11.49/ 4 balls

=$2.8725

The second pack has a unit rate of $16.79/6balls

=$2.798 per ball

the third pack has a unit rate of $22.99/9balls

=2.554

So, I would definitely go for the third pack since it has the least cost.

Answer: m = 11

Step-by-step explanation:

12 - (m - 3) = 4

Distributive property

12 - m + 3 = 4

Combine like terms

-m + 15 = 4

Subtract both sides by 15

-m = -11

Divide both sides by -1

m = 11

Answer: 1+1 = 2 :)

Step-by-step explanation:

Answer:

1+1=2

this is a very simple question

Answer: The perimeter is when you add all of the sides together, and the area is when you multiply the sides together

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

19/50=0.38

I hope this helped you out! I would greatly appreciate it if you mark my answer as brainliest :D

Answer:

Angle E is 30⁰

Explanation:

If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E

Making Angle E: 30⁰

Answer:  11/3 or 3.6 or 3 2/3

Step-by-step explanation:

All you have to do is simplify the expression

y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through points (-4,8) and (1,3)

m=3-8/1+4

=-5/5=-1

Now we need to find the y intercept

8=-1(-4)+b

8=4+b

b=4

Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

69.08

Step-by-step explanation:

circumference is pi times diameter

22×3.14=69.08 inches

Answer:

C = 69.08 in

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

d = 22 in

Step 2: Find r

Step 3: Find C

Answer:

Step-by-step explanation:

4x3 is the max of 12

Answer:

no

Step-by-step explanation:

3 tons is 3,000 and 7,000 is 7 tons