The price of a math textbook can be modeled by the equation:
y = 22 + 76, where x is time in years and y is the price of
the textbook. This equation tells us that the textbook originally
cost $76 and each year the cost went up $2. How many years
will it take for the textbook to cost $100?

Answer:

Im pretty sure it is 48 but it could be 96

Step-by-step explanation:

I just found the area and halved that.

Answer:

855

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Volume of a cone = ⅓πr²h

Where,

r = x

h = 2x

Plug in the values into the formula for volume

Volume = ⅓*π*x²*2x

Volume = ⅓*π*2x³

Volume = (1*π*2x³)/3

Volume = [tex] \frac{2\pi x^3}{3} [/tex]

[tex] \frac{2}{3}\pi x^3 [/tex]

Answer:

1 7142.699082ft³  (C)

2 1063.420642cm³ (A)

Step-by-step explanation:

Hey There!

1. So for the first one we want to find the volume of the rectangular pool and the volume of the semi cylinder

The dimension given are

length - 45

width - 30

height - 5

to find the volume we use

[tex]V=lwh[/tex]

[tex]45*30=1350\\1350x5=6750[/tex]

so the volume of the rectangular pool is 6750ft³

now we need to find the volume of the semi cylinder

the dimensions given are

diameter - 20

height - 2.5

so we find the volume by using the volume for a cylinder then dividing by 2

the volume for a cylinder formula is

[tex]V=\pi r^2h[/tex]

r = radius

h = height

to find the radius given the diameter we just divide by 2

20/2=10 so the radius is 10

now we just plug in the values and get

[tex]V=\frac{1}{2} \pi 10^22.5[/tex]

Note: the 1/2 is added because were finding the volume of a semi cylinder

[tex]10^2=100\\100(2.5)=250\\250\pi =785.3981634\\\frac{785.3981634}{2} =392.6990817[/tex]

So the volume of the sitting area is 392.6990817

Now that we have found the volume of each part we add them together to get the answer

[tex]392.6990817+6750=7142.699082[/tex]

2. For the second one we need to find the volume of the cylinder and subtract it by the volume of the tennis ball..s times 4 ( because there are 4 of them)

For the cylinder we are given the dimensions

height - 39.5

diameter - 9.5

Remember this is the formula of the volume of a cylinder

[tex]V=\pi r^2h[/tex]

r =radius

h = height

to convert diameter to radius we divide by 2

9.5/2=4.75

now we plug in the values

[tex]V=\pi 4.75^239.5\\4.75^2=22.5625\\22.565(39.5)=891.21875\\891.21875\pi =2859.100642[/tex]

so the volume of the container is 2859.100642cm³

now we need to find the volume of the tennis ball

to do this we use the formula

[tex]V=\frac{4}{3} \pi r^3[/tex]

we are given the dimensions of

diameter - 9.5

once again to convert to radius we divide by 2

9.5/2=4.75

now we plug in the values

[tex]V=\frac{4}{3} \pi 4.75^3\\4.75^3=107.171875\\107.171875\frac{4}{3} =142.8958333\\142.8958333\pi =448.9205002\\448.9205002(4)=1795.682001[/tex]

So the volume of the tennis bal...ls is 1795.682001

note: i multiplied by 4 because there are 4 tennis bal...ls

our final step is to subtract the volume of the bal...ls from the container

2859.100642-1795.682001=1063.420642

hope this helps :)

A should be the correct answer because it was selected randomly and the votes won't be fair.

Answer:

66+90+x=180

so x is = 180-156=24

Answer:

24°

Step-by-step explanation:

The answer is 24 ° because you can tell based off of the ∠ACD that it is a 90 ° angle and you can tell that line AD and line AB are perpendicular which means that they form two 90 ° angles. You know that ∠DCE is 66 ° meaning that the rest of the right angle must be 24 °.

The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is

7x ² + 9x + 2 = 0

→   x ² + 9/7 x + 2/7 = 0

This step isn't actually necessary to begin with since the starting quadratic is easily factorized:

7x ² + 9x + 2 = (7x + 2) (x + 1) = 0

Then

7x + 2 = 0   or   x + 1 = 0

7x = -2   or   x = -1

x = -2/7   or   x = -1

Answer:

Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .

Step-by-step explanation:

base = 40

height = 16

Area of parallelogram = b×h = 40× 16= 640

Answer:

the area of the shaded area is 160 cm ²

Step-by-step explanation:

Hey There!

so the first step in solving this problem is to find the area of the whole shape

This is a trapezoid and the formula for area of a trapezoid is

[tex]A=\frac{a=b}{2} h[/tex]

a = base 1 (20)

b = base 2  (40)

h = height (16)

now we plug in the values

[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]

so the area of the trapezoid is 480

The next step is to find the area of the triangle

To do so we use this formula

[tex]A=\frac{hb}{2}[/tex]

h = height (16)

b = base (20)

now we just plug in the values

[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]

The area of the triangle is 160

Answer:

rrir

Step-by-step explanation:

e8

Answer:

Step-by-step explanation:

x/50 = 12/24

24x = 600

x= 25

Answer:

maybe u should have paid attention in class buddy

Step-by-step explanation:

L

Answer:

Positive

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]90 = 60 + 3x \\ 30 = 3x \\ x = 10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

.

10% of 50 coins is/are 5 coins.  So, 5 coins are pennies.

40% of 50 coins is/are 20 coins.  So, 20 coins are dimes.

The number of nickels is  (5 + 9) = 14, according to the condition.

Then quarters are the rest (50 - 5 - 20 - 14) = 11 coins.

Now you can easily calculate the total and answer the question

   Total = 5*1 + 14*5 + 20*10 + 11*25 = 550 cents = $5.50.     ANSWER

Step-by-step explanation:

Answer:

2/20

Step-by-step explanation:

12 + 6 is 18 so then your remaining would be 2 so your answer should be 2/20!

Answer:

[tex]\frac{2}{20}[/tex]

Step-by-step explanation:

We have 3 sections.

Since we only have 3 sections, we can add red and blue, and subtract  [tex]\frac{20}{20}[/tex]

[tex]\frac{12}{20} + \frac{6}{20} = \frac{18}{20}[/tex]

Subtract:

[tex]\frac{20}{20}-\frac{18}{20} = \frac{2}{20}[/tex]

Answer:

p/6 division

Step-by-step explanation:

Answer:

its a i belive

Step-by-step explanation:

Answer:

I think it's 2000

Step-by-step explanation:

Answer:

The answer is 2

For the acellus people

Step-by-step explanation:

Answer:

it 125 I just worked it out

Step-by-step explanation:

hmkgckufkkhcxcnkifx mkufcb

Answer:

False

Step-by-step explanation:

The circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.

It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

As we know, the circle can be circumscribed around a quadrilateral if and only if the quadrilateral's opposite angles add up to 180 degrees.

But,

80 + 85 < 180

100 + 95 > 180

Thus, the circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ2

Answer:

45% Of the cars are there

because it says 45% so I am pretty sure that is it

1/4 / 5 is equal to 4x5, or 20.

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hope it helps

Answer:1

Step-by-step explanation:it is right