A gallon of gas costs $2.93 per gallon. Marcie's car holds 10 gallons. If her tank is empty, how many will it cost to fill it?

Answer:

x= -3/2y + 6

Step-by-step explanation:

Let's solve for x.

2x+3y=12

Step 1: Add -3y to both sides.

2x+3y+−3y=12+−3y

2x=−3y+12

Step 2: Divide both sides by 2.

2x

2

=

−3y+12

2

Answer:

Discount price is $25.2

Step-by-step explanation:

Answer:

x = 5.

Step-by-step explanation:

x is the radius of the circle.

The line of length 4 bisects the chord of length 6 into 2 line segments of length 3.

If we draw a line from the centre to where the chord of length 6 meets the circle we have another radius.

This is also the hypotenuse (h) of a right triangle, so we have a right triangle whose legs are 3 and 4, then:

h^2 = 4^2 + 3^2 = 25

h = 5

x = 5 (as x and h are both radii).

Answer:

33

Step-by-step explanation:

just coint how much is on each side then multiply it by 3

The wide is the gym in the drawing is 5

In the given statement is

Cassie measured the middle school and made a scale drawing. The scale of the drawing was 1 inch : 9 feet. the actual width of the gym is 45 feet.

To find how wide is the gym in the drawing

Now, According to the question

and, Based on the given conditions

=45 x1/9

=45/9

=5

Thus, The wide is the gym in the drawing is 5

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Coordinates of L after rotation are  (-8,4)

What are the rules of 270 degrees rotation of coordinates about the origin?

Assuming that the rotation is about  (0,0)

then after 270° clockwise rotation (x, y) becomes (-y, x)

and after 270°  anticlockwise rotation (x, y) becomes (y,-x)

Given that LMN with vertices L(4,8), M(4,3) and N(8,8) is rotated  270°  clockwise about the origin

Then for L(4,8) as the rotation is  270°  clockwise then  

(x, y) = (4,8)

and after 270° clockwise rotation (x, y) becomes (-y, x)

Therefore new coordinates of L are (-8,4)

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When given the value of 5/4 hours then in minutes this is equal to 75 minutes.

In every hour, there are 60 minutes. If you want to covert hours to minutes therefore, you multiply the number of hours by 60 minutes.

When given the number of hours as 5/4 hours, in minutes this becomes:

= Number of hours x 60 minutes per hour

= 5/4 x 60 minutes per hour

= 300 / 4 minutes

= 75 minutes

In conclusion, the number of minutes in 5/4 hours is equal to 75 minutes.

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9514 1404 393

Answer:

  3.  62.5% decrease

  4.  26.2% decrease

  5.  13.2% decrease

Explanation:

A percentage change is calculated from ...

  percent change = ((new value) - (old value))/(old value) × 100%

When it is negative, the change is a decrease.

__

3. (24 -64)/64 × 100% = -40/64 × 100% = -62.5%, a 62.5% decrease

__

4. (4.8 -6.5)/6.5 × 100% = -1.7/6.5 × 100% ≈ -26.2%, a 26.2% decrease

__

5. (1.12 -1.29)/1.29 × 100% = -0.17/1.29 × 100% ≈ -13.2%, a 13.2% decrease

Answer:

I believe the answer is C

Step-by-step explanation:

Answer:

B. The rate of change of the cost of the taxi ride is $3.00 per minute.

Step-by-step explanation:

The slope is 3 so it is $3 per minute (x) and $2 is the flag down cost.

Answer:

1. 2.50$

2. 120

Step-by-step explanation:

..................

Answer:

1/4

Step-by-step explanation:

simple

Answer: -3x-7

Step-by-step explanation:

First, remove the parentheses,

Then. simplify

Answer:

X=18

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

we know that 6x+10 is equal with the angle above the one that is measured (5x-28)

we have 6x+10+5x-28=180 (a straight line)

11x=180+28-10

11 x=198

x=18

This answer is (B) $5262.

Answer:

b on edge 2021

Step-by-step explanation:

took the test :)

Answer:

d

Step-by-step explanation:

hope this helps

Answer:

-62

Step-by-step explanation:

In this question, we are going to solve the given expression.

We know that our f(x) equation is (-7)x - 3

Since we have to find what f(4) is, we would plug in 4 to x and solve.

Solve:

f(4) = -7(4) - 3

= -28 - 3

= -31

We are not done, we have to plug in our answer to the expression f(4 + f(4), since we now know what the value of f(4) is.

-31 - 31

-62

Your answer would be -62.

Answer:

a) the platform is 110 feet above the ground.

b)  It takes 8.69 sec for the rock to hit the ground

Step-by-step explanation:

This situation is modelled by the following function: [tex]f(x) = -5x^2 + 40x + 30\\[/tex]

We need to answer the following questions.

a) How high above the ground is the platform?

First we find x using the formula: [tex]x=-\frac{b}{2a}[/tex]

we have b = 40 and a = -5

Putting values and finding x

[tex]x=-\frac{b}{2a}\\x=-\frac{40}{2(-5)}\\x=-\frac{40}{-10}\\x=4[/tex]

Now putting x=4 in the function to find how high above the ground is the platform

[tex]f(x) = -5x^2 + 40x + 30\\Put\:x=4\\f(4)=-5(4)^2+40(4)+30\\f(4)=-5(16)+160+30\\f(4)=-80+160+30\\f(4)=110[/tex]

So, the platform is 110 feet above the ground.

b) How long does it take for the rock to hit the ground? Show all work to receive full credit!

We will factorise the given function [tex]f(x) = -5x^2 + 40x + 30[/tex] to find the time taken to hit the ground.

We can solve the equation using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a =-5, b=40, c=30

Putting values and finding x

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-40\pm\sqrt{(40)^2-4(-5)(30)}}{2(-5)}\\x=\frac{-40\pm\sqrt{1600+600}}{-10}\\x=\frac{-40\pm\sqrt{2200}}{-10}\\x=\frac{-40\pm46.9}{-10}\\x=\frac{-40+46.9}{-10},x=\frac{-40-46.9}{-10} \\x=-0.69,x=8.69[/tex]

So, we get values of x: x = -0.69 and x=8.69

As time cannot be negative, so we take x=8.69

So, It takes 8.69 sec for the rock to hit the ground

Answer:

x = 6

Step-by-step explanation:

These are supplementary angles.

This means that the angles add up to 180 degrees.

The first thing we can do is set 6y equal to 90, because the little red box means that is 90 degrees.

6y = 90

y = 15

Now that we have found y we can solve for x.

Plug in the y to the 5x + 4y

5x + 4(15)

5x + 60

We can set this equal to 90 again

5x + 60 = 90

5x = 30

x = 6

Therefore x is equal to 6.

I hope this helps!!

- Kay :)

Answer:

x= 6

Step-by-step explanation:

Straight line: is equaled to 180 degrees.

6y= 90 (90 divided by 6= 15), so y= 15

5x + 4y= 90 --> 5x + 4(15)= 90 --> 5x + 60= 90 --> 90 - 60= 30 --> 5x= 30 (30 divided by 5= 6), so x= 6

Answer:

common difference d = - 4

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁ = 24 and a₁₉ = - 48 , then

24 + 18d = - 48 ( subtract 24 from both sides )

18d = - 72 ( divide both sides by 18 )

d = - 4

Answer:  I would post the answers in comment am unable to add the answer.

Step-by-step explanation:

1.F is the midpoint of AC, angle AFE =  angle CFD and DF = EF  (Given)

2.angle AFD =  angle CFE  ( A midpoint divides a segment into two congruent segments.)

3.angle DFE = angle DFE (Reflexive property)

4.angle A =  angle C (Congruent angles subtracted from congruent angles form congruent angles )

Answer:

It's $0.02 cheaper per piece in the 8 piece pack.

Answer:

5 hours

Step-by-step explanation:

To change minutes to hours you will have to divide the total minutes by 60 (because 60 minutes is in one hour), in this situation it would look like this:

180/60 = 3

So, Alexa babysat for 3 hours on Saturday.

Now, just add the 3 hours from Saturday and 2 hours from Sunday and you get a total of 5 hours!

I hope this helps!!

- Kay :)

Answer:

b

Step-by-step explanation:

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52 x 2 = 105

Hence, markdown or discount Sheila's friend gave her is =

105 - 90 = 15

The answer is $15.

Answer:

15

Step-by-step explanation:

105 - 90 = 15

Answer:

2) Mia needs to buy 3 packages of noisemakers

3)Mia needs to buy 4 packages of hats

4)Mia will dpend a total of $66

Answer:

what graph?...........