Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?

Given:

The figure of a triangle.

[tex]IW= x-2[/tex]

[tex]IU=2x-6[/tex]

To find:

The value of x

Solution:

From the given figure it is clear that [tex]VI[/tex] is a median of the given triangle. It means [tex]I[/tex] divides [tex]UW[/tex] is two equal parts.

[tex]IU=IW[/tex]

[tex]2x-6=x-2[/tex]

[tex]2x-x=6-2[/tex]

[tex]x=4/tex]

The value of x is 4. Therefore, the correct option is D.

The equation in point-slope form:  y - y₁ = m(x - x₁)

slope:  m = -2

point:   (4, -5)   ⇒   x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

The equation in slope-intercept form:   y = mx + b

Parallel lines has the same slope, so:

y = 4x + 2     ⇒    a = 4

If a line passes through the point (x₁, y₁) then the equation y₁ = mx₁ + b is true.

(4, 6)  ⇒   x₁ = 4, y₁ = 6  

So:   6 = 4·4 + b  ⇒   b = -10

Therefore the equation:  

a = 3

(-1, 1)  ⇒   x₁ = -1, y₁ = 1  

So:   1 = 3·(-1) + b  ⇒   b = 4

The equation:  

The product of slopes of perpendicular lines is -1.

2x - 7y = 1    ⇒  7y = -2x + 1   ⇒  y = -²/₇x + ¹/₇

-²/₇×m = -1    ⇒   m = ⁷/₂

(0, -4)  ⇒   x₁ = 0, y₁ = -4  

-4 = ⁷/₂·0 + b   ⇒   b = -4

The equation:

Answer:

2352

Step-by-step explanation:

You just multiply them

Answer:

Need more points lang sorry

Answer:

Step-by-step explanation:

base = X

hypotenuse = √5

cos 45° = base / hypotenuse

1/√2 = X / √5

X = √5 / √2

X = 1.58

Answer:

1) 42qt

2) 48cd

3) 54fgjk

Step-by-step explanation:

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

9514 1404 393

Answer:

  24 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = (1/3)(3 cm²)(8 cm) = 24 cm³

The volume of the pyramid is 24 cm³.

Answer:

y = (x - 2) (x + 5)

Step-by-step explanation:

The gradient is the slope.

Slope is the change in y over the change in x.

3 = (21-6) / (d-4)

Simplify:

3 = 15/(d-4)

(D-4) = 15/3

D-4 = 5

Add 4 to both sides :

D = 9

Answer:

see explanation

Step-by-step explanation:

Given

3(x - 6) = - 15 + 3x ← distribute parenthesis on left side

3x - 18 = - 15 + 3x ( add 18 to both sides )

3x = 3 + 3x ( subtract 3x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

Answer:

The thickness of the new dirt cover is 0.144 yards.

Step-by-step explanation:

Dimension of garden = 25 feet by 25 feet.

Volume of soil bought = 10 cubic yards

Volume = length x width x height

But,

1 foot = 0.333333 yard

So that,

25 feet = 25 x 0.333333

            = 8.33333 yards

The new dimension of the garden = 8.33333 yards by 8.33333  yards.

Let the thickness of the new dirt cover be represented by h.

Thus,

Volume = 8.33333 x 8.33333 x h

10 = 69.44439 x h

h = [tex]\frac{10}{69.44439}[/tex]

  = 0.144

h = 0.144 yards

The thickness of the new dirt cover is 0.144 yards.

Answer:

23/6

Step-by-step explanation:

3 5/6  multiply 6 times 3 then add 5 which is 23 then take six and is the denominator and 23 is the numerator

Answer: x=21

Step-by-step explanation:

x/-3=-7

Take -3 and multiply it on each side to cancel it out from the left

x=21

Answer:

i think its 21

Step-by-step explanation:

-3x x/3 =-7 x -3 = 21

Answer:

29 percent of the earth is not covered by water and 57,101,000 Square miles

Step-by-step explanation:

The volume = LBH = x²y

.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.

The volume of Pyramid = 1/3*x²y

h = 3 *1/3x²y/x²

h = 3*1/3x²y*1/x²

h = 3*1/3y

Answer: B. $3,119.52

Tommy will need to pay 4.75%. FICA is 7.65%. Tommy's net pay of $3,119.52.

At his after-school job, Tommy grossed $4,020 for the year. Based on his income level, the federal tax rate he'll need to pay is 10%. For his state taxes.

The federal income tax is a tax on annual earnings for individuals, businesses, and other legal entities. All wages, salaries, cash gifts from employers, business income, tips, gambling income, bonuses, and unemployment benefits are subject to a federal income tax.

Tommy will need to pay 4.75%. FICA is 7.65%.

Tommy's net pay of $3,119.52.

To learn more about federal tax visit:

https://brainly.com/question/1775528

#SPJ2

Answer:

10w

Step-by-step explanation:

→ Work out the length

4 × w = 4w

→ State width

w

→ Find perimeter

4w + 4w + w + w = 10w

Answer: 45 minutes more than 200

Step-by-step explanation:

So for every minute over 200 jane has to pay 0.20 cents per additional minute. The equation we can use is $58+0.20m=$67 where m is the amount of minutes after 200 jane has to pay 20 cents per

58+0.20m=67

0.20m=9

m=45

So Jane was billed for 45 minutes over 200 minutes last month. so in total 245 minutes and she was charged for the extra 45 minutes

Answer: $6,012

Step-by-step explanation:

if the simplified equation is 8,000(0.96)^7, plug it into desmos and round it

Answer:

C.about 4.5 units got 100%

Step-by-step explanation:

Answer:  Yes

Step-by-step explanation:  It is because it is just a bigger version of it. B is half of C, F is half of E and The A is in both diagrams.

Answer:

either a. or c. I hope it helps

Step-by-step explanation:

because half of 64 is 32

Answer:

Step-by-step explanation:

50 elevens-1 elevens =    ( 50 -1 ) elevens  =    49 elevens

or  49 x eleven    =  49 x 11 =   _______      (use your calculator here)

Answer:

( 50 -1 ) elevens  =    49 elevens =  49 x 11 =   539

or

50 elevens - 1 elevens = (50 x 11) - (1 x 11)

550 - 11 = 539

Answer:

Step-by-step explanation:

A:(2,7)

H:(4,3)

K:(6,7)

im really guessing here about the order of the pairs

(the ordered pairs are right im just not sure the order i have it in is right please let me know)

Answer:

1/8 divided by the 2 cups is 1/16

1/16 times 3 is 3/16

Answer:

12m,

Step-by-step explanation:

Step-by-step explanation:

21,5 is the answer stockings so of do of do