You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for the red car?

Answer:

Step-by-step explanation:

The graph of f(x) becomes the graph of g(x) if the former is translated UP 18 units.  k = 18.

The graph of f(x) becomes the graph of g(x) if the graph of f(x) is translated 6 units to the left.  k = 6

Answer:

Infinitely many solutions

Step-by-step explanation:

3x + 99 = 3 (x+33)

distribute 3 to x and 33

3 * x = 3x

3 * 33 = 99

3x + 99 = 3x + 99

If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions

Answer:

a. In the first step: Nick is supposed to subtract 1 1/2 instead of adding it

b. He should subtract 1 1/2 instead

c. 3 3/22

Step-by-step explanation:

Work for c.

4 7/11 - 1 1/2

4 14/22 - 1 11/22

3 3/22

-Chetan K

Answer:

3 3/22

Step-by-step explanation:

a) he subtracted 5 from a mixed fraction without converting it first

and for 1 1/2 - sign should be there

b) first convert mixed fraction and add the terms in the parentheses

c) 9 7/11 - (5 + 1 1/2)

= (9*11 + 7) / 11  - ( 5 + (1*2 + 1)/2 )

= 106/11  - (5 + 3/2)

= 106/11 - (5*2 + 3)/2

= 106/11 - 13/2

= lcm of 2 and 11 is 22

= (106*2 - 13*11) / 22

= (212 - 143) / 22

= 69/22

= 66 + 3 / 22

= 3 3/22

Answer:

y = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]\frac{y}{-7}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

4y = - 7 ( divide both sides by 4 )

y = - [tex]\frac{7}{4}[/tex]

Answer:

y+4=-5(x-15)

Step-by-step explanation:

Use point-slope form:

y-y1=m(x-x1)

m is the slope

x1 is the x coordinate of the point that the line contains

y1 is the y coordinate of the same point

We are already given the coordinates of the point (15, -4), so we just need m, the slope.

We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.

The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)

Now we know

m is -5

x1 is 15

y1 is -4,

so plug those into point-slope form: y-y1=m(x-x1)

y-(-4)=-5(x-15)

y+4=-5(x-15) is the answer

Hey there!

Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.

24 = 1 × 2 × 2 × 2 × 3

24 = 2³ × 3 × 1

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

Hope it helps ya!

Answer:

1. A.

2. C.

Step-by-step explanation:

1. these angles are corresponding because if the line passes through parallel lines 1-6, 2-5,3-7,4-8 will all be corresponding angles

2.

Since 2 and 5 are corresponding angles they will have the same degree measures

Answer:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Step-by-step explanation:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Done

The vertex of the parabola is (−5, −13).

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

−

1

/15

,

−

121

/15

)

Find the vertex form.

y

=

15

(

x

+

1

/15

)

2

−

121

/15

Answer:

[tex]3x + 12y = 120[/tex]

If this problem needs solved like the other one I answered with the reserved seats and general admission, it is done the exact same way as that one.

Answer:  g(4n+5) = 16n^2 + 40n + 30

Step-by-step explanation:

g(n)=n^2-4

h(n)=4n+5

find g°h

g°h is g(4n+5) = (4n+5)^2 + 5

g(4n+5) = (16n^2 + 40n + 25) + 5

g(4n+5) = 16n^2 + 40n + 30

Answer:

An odd integer is denoted by 2n+1 where n is an integer.

First odd integer = 2n+1

Next odd integer = 2n+3

8 ≦ (2n+1)+(2n+3) < 24

8 ≦ 2n+1+2n+3 < 24

8 ≦ 4n+4 < 24

Divide through by 4

2 ≦ n+1 < 6

Subtract 1 for all three sides:

1 ≦ n < 5

n ∈ {1,2,3,4}  

Answer:  {2n+1, 2n+3}  {1,3}, {3,5}, {5,7

Step-by-step explanation:

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

Answer:

a

Step-by-step explanation:

Answer:

z = 3

Step-by-step explanation:

I hope this helps!

Answer:

2/3 = 16/243/8 = 9/2416/24 + 9/24 = 25/2425/24 = 1 and 1/24

Step-by-step explanation:

Here are the answers

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Answer:

the combined time 55.316

diffrence of times 0.856

Step-by-step explanation:

its 6th grader math

Answer:

55,316 0.856

Step-by-step explanation:

Answer:

C.

[tex] \sqrt{75} [/tex]

Step-by-step explanation:

You can just enter it in the calculator to see which is equal to

[tex]5 \sqrt{3} [/tex]

The perimeter of the regular pentagon is 10 centimeters.

Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:

Therefore, the perimeter of the regular pentagon is 10 centimeters.

Learn more about maths in https://brainly.com/question/11993520

Answer:

The whole

Step-by-step explanation:

If the part is 20% then you already have a part of a whole, now you need to find the entire thing

Answer:

a. pick two between 2,5 or 11, they are all primes.

b. it's 11 since

[tex]11 {}^{2} = 121[/tex]

c. that's

[tex]18 \times \frac{25}{100} = 4.5[/tex]

(or think about it as half the half of 18, so half of 9)

d.

[tex] \sqrt{3} [/tex]

Rest can be written as a fraction

Answer:

y=3x-1

Step-by-step explanation:

The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)

Answer:

She needs to get to class on time

Step-by-step explanation:

If shes tardy shes going to get detention which will lead to her phone getting took.

Answer:

Multiply both sides by 6:  4x - 42 = 5

Step-by-step explanation:

(2/3)x - 7 = (5/6)

Multiply both sides by 6:  

6*(2/3)x - 6*7 = 6*(5/6)

(12/3)x - 42 = 5

4x - 42 = 5

Answer:

[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]

Answer:

22 cm

Step-by-step explanation:

The angle subtended at the centre by the arc is 90°

This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle

The arc length will be quarter of the circumference, that is

arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm

Answer:

Step-by-step explanation:

Convert 50 kg into pounds:

Number of adults the elevator can take:

Answer:

The Elevator can hold 10 adults

Step-by-step explanation:

Step 1- Convert kg to lbs to get 110lbs

Step 2- Divide 1200 (the elevators max compacity) by 110 to get 10

Step 3- The elevator can hold 10 adults

-Rocketgamer360