Molly rewrote the equation as shown:
-50 + 11 = 8 - 3d
-5d + 11 + 3d = 8 - 30 + 3d
Which property did she use to rewrite the equation?
O addition property of equality
o distributive property
O multiplication property of equality
O substitution property

Answer:

7 inches on the map is 175 miles.

Step-by-step explanation:

2 inches equals 50 miles.  Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds.  Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

[tex]t = 5.0625[/tex]

Step-by-step explanation:

Given

[tex]h(t)=-16t^2+80t+5[/tex]

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

[tex]0=-16t^2+80t+5[/tex]

Reorder

[tex]-16t^2+80t+5 = 0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = -16[/tex]      [tex]b =80[/tex]      [tex]c = 5[/tex]

So, we have:

[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]

[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]

[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]

[tex]t = \frac{-80\±82.0}{-32}[/tex]

This gives:

[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]

[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]

[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]

But time can not be negative.

So, we have:

[tex]t = \frac{162}{32}[/tex]

[tex]t = 5.0625[/tex]

Hence, time to hit the ground is 5.0625 seconds

Answer:

5 hours (when salespersons A and B will both charge $75)

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

Answer:

-4

Step-by-step explanation:

first remove the parentheses

5-4-7+2

then calculate the sum or difference

-4

Answer:

x=2, -4, -1

Step-by-step explanation:

-x³-3x²+6x+8=0

Multiply entire equation by -1:

x³+3x²-6x-8=0

Since x=2 is a solution, then x-2 must be a factor. Then:

x³+3x²-6x-8/x-2=x²+5x+4

x²+5x+4=0

Factor this:

x²+5x+4=(x+4)(x+1)=0

x=-4, -1

x=2, -4, -1

Answer:

2 and x are the factors of 2

Step-by-step explanation:

Answer:

12.4 cm

Step-by-step explanation:

Length of an arc AB = [tex] \frac{\theta}{360} \times 2 \pi r [/tex]

Where,

[tex] \theta = 90 [/tex]

[tex] \pi = 90 [/tex]

r = 7.9 cm

Plug in the values

Length of an arc AB = [tex] \frac{90}{360} \times 2 \times 3.14 \times 7.9 [/tex]

[tex] = \frac{90 \times 2 \times 3.14 \times 7.9}{360} [/tex]

Length of an arc AB = 12.4 cm (nearest tenth)

Answer:

Step-by-step explanation:

answer is 12.4cm !

Answer:

ytjyhyjhuyjhytujhyuhjnfh

Step-by-step explanation:

Answer:

The rope is 94.65 feet.

Step-by-step explanation:

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Answer:

The radius of the clock is 7.72 meters

Step-by-step explanation:

Here, we want to calculate the radius of a clock which has a circumference of 48.5 m

Mathematically;

Circumference C = 2 * pi * r

48.5 = 2 * 22/7 * r

7 * 48.5 = 44r

r = (7 * 48.5)/44

r = 7.72 meters

Answer:

45

Step-by-step explanation:

just had that q and sumbitted my quiziz and got it correct

Answer:

20% tip = $4.40; total = $26.4

Step-by-step explanation:

20 % = 0.20 ------> 22 * 0.20 = 20% of 22

20% of $22.00 = $4.40

total = $22.00 + $4.40

total = $26.40

Answer:

Step-by-step explanation:

Goal = > $2500

Amount raised = $700

Amount needed to raise = $2500 - 700 = $1800

Number of candy bars needed = x

Price of a candy bar = $1.50

1.5x > 1800

x > 1800 ÷ 1.5

x > 1200

Answer: They need to sell more than 1200 candy bars.

9514 1404 393

Explanation:

Here are the reasons:

Answer:

The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.

Step-by-step explanation: If thats

not right, then i am sorry, i am just getting started

Answer:

28 soccer balls.

Step-by-step explanation:

Let there are 7x basketball and 6x soccer balls.

A sports store donates basketballs and soccer balls to the boys and girls club.

The store donates 24 soccer balls.

It means,

6x = 24

x = 4

No of basketballs = 7x

= 7(4)

= 28

Hence, the store denote 28 soccer balls.

Answer:

131.25 miles

Step-by-step explanation:

if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.

Answer:

40

Step-by-step explanation:

35/40 in percentage is 87.5%

Answer:

13

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]

Answer:

I believe that D is the answer.

Step-by-step explanation:

The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.

(For the X axis, you need to simplify.)

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

Answer:  x= -8  or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8      Subtract 8 from both sides to let the whole equation equal 0

            - 8     -8

2x^2 + 15x - 8 = 0      Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1.     16 times -1 is -16  and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0      Factor on the left side

2x ( x + 8)  -1 (x + 8) = 0     Now factor out x + 8

(x + 8) (2x -1) = 0            Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0        or   2x - 1 = 0  

  -8     -8                     +1  +1

   x = - 8                  2x  = 1

                                 x = 1/2

Answer:

1/9 cup of sugar for every 1/4 cup of flour

Step-by-step explanation:  Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.

Answer:

It depends how much they get paid which is 20 dollors

Step-by-step explanation:

SO THE ANSWER IS 20