Sarah's car averages 19 miles per gallon. She is going on a 380-mile trip. Gas cost 2.29 per gallon a. How many gallons of gas will sarah use? b. How much will sarah spend on gas for the 380 mile trip?

Answer:

They will both have paid the same amount after 4 months

Step-by-step explanation:

Assume that they will pay the same amount after x months

∵ Billy pays $30 for his new phone

∵ He only pays $12.50 each month

→ Find how much he will pay in x month

∴ He will pay → 30 + 12.50x

∵ Annie got her new phone for free

∵ She only pays $20 a month

→ Find how much she will pay in x month

∴ She will pay → 20x

∵ They will pay the same amount

→ Equate their expressions above

∴ 20x = 30 + 12.50x

→ Subtract 12.50x from both sides

∵ 20x - 12.50x = 30 + 12.50x - 12.50x

∴ 7.50x = 30

→ Divide both sides by 7.50

∴ x = 4

∴ They will both have paid the same amount after 4 months

Answer:

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)

Then, the factorized form of [tex]q(x)[/tex] must be:

[tex]q(x) = x\cdot (x-17)[/tex] (2)

If we know that [tex]p(x) = 4[/tex], then the rational expression is:

[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Answer:

10 i believe

Step-by-step explanation:

Answer:

[tex]y = 4x-1[/tex]

Step-by-step explanation:

Required:

Determine the equation of the linear function

First, we need to determine the slope (m) as follows:

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

Where

[tex](x_1,y_1) = (-2,-9)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

Substitute these values in [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{15- (-9)}{4 - (-2)}[/tex]

[tex]m = \frac{24}{6}[/tex]

[tex]m =4[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y -(-9) = 4(x - (-2))[/tex]

[tex]y + 9 = 4(x + 2)[/tex]

[tex]y + 9 = 4x + 8[/tex]

Make y the subject

[tex]y = 4x + 8 - 9[/tex]

[tex]y = 4x-1[/tex]

Answer:

-6y

Step-by-step explanation:

-5y-y=-6y

Answer:

-6y

Step-by-step explanation:

Answer:

3+6n=

Step-by-step explanation:

Answer:

L = 2W

If L = 50cm

then

w= 25cm

Area = L*W= 50*25

Area= 1250 cm^2

Perimeter

P = 2(L+W)

P= 2 (50+25)

P = 150cm

Answer:

The Box 1 and Box 2 are the same mass.

Explanation:

It caused both to change speed because they have both the same mass.

Answer:

PAIN

Step-by-step explanation:

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

Answer:

9 shirts and 10 caps

Step-by-step explanation:

Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.

Answer:

D.(x,y) → (x,-y)

Step-by-step explanation:

If it is reflected across the X-axis, then the X variable will stay the same and the Y variable will change.

I hope this helps!! Good luck!!

(Sorry if I'm wrong! It's kinda awkward because it is placed in the second quadrant instead of the first.)

Answer:

its d

Step-by-step explanation:

Answer:

6060

Step-by-step explanation:

ヽ(ﾟДﾟ)ﾉ

Answer:

6060

Step-by-step explanation:

6000+60

Answer:

it's the first answer

Step-by-step explanation:

literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else

Answer:

$4.65

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

The solutions are:

-28.25, -14.5, -2.25

Step-by-step explanation:

Given compound inequality is:

[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]

The compound inequalities are broken down into two inequalities to find the solution

The two inequalities will be:

[tex]\frac{2x+4}{3} \geq -17.5[/tex]   AND   [tex]\frac{2x+4}{3}<{17.5}[/tex]

Solving both inequalities one by one

[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]

The solution is:

-28.25 ≤ x < 24.25

We have to see which options lie in the solution range.

The solutions are:

-28.25, -14.5, -2.25

Answer:

The answers are

x=-2

m=23

a=-24

x=6

Answer:

Step-by-step explanation:

1. x+5=3

x= 3-5=-2

2. m-4=19

m= 19+4=23

3. a÷6=-4

Multiply by 6 on both sides we get

a = -4×6=-24

4. -6x =-36

Divide by -6 on both sides

x =6

Answer:

GH=45

HJ=81.6

GJ=53.4

Step-by-step explanation:

hope i helped <3

Answer:

7 feet

Step-by-step explanation:

Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?

We solve this question

Length of shadow/Height

Ferris wheel = Ticket booth

64 feet/160 feet = 2.8 feet/x

Cross Multiply

64x = 160 × 2.8

x = 160 × 2.8/64

x = 7 feet

The height of the ticket booth is 7 feet

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

9x8=71

2x3=6

71-6=66

Answer:

D $66

Step-by-step explanation:

So first we need to figure how much money she was able to deduct from the three $2 coupons. Remember the original price is $9

3×2=6 (which means she can get $6 off of the original price $9.)

9-6= 3 (So now she only has to pay $3 while the other seven people in her group pays the original price $9.)

9×7= 63 (So $9 for the 7 other people equals $63. That is how much they are paying. Now let's add Laurie's amount!)

63+3=66 (So altogether everyone including Laurie is paying $66.)

So the final answer is $66

(I hope this helps you! Have a wonderful day everyone!)

:)

Answer:

I guess it decreases by 4 everytime so -4??? If thats what your asking

Step-by-step explanation:

30,26,22,18,14,10,8,4,-2.

Answer: the quotient is 4

Answer:

4

Step-by-step explanation:

6

2

÷

3

4

=  

6/4

×

2/3

=  

6 × 4

2 × 3

=  

24/6

=  

24 ÷ 6

6 ÷ 6

=  4

Answer:

there are 120 apples in each basket and 5 are left over

Step-by-step explanation:

So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.