Please help me solve this. Also please provide working out.

Answer:

You would need $18 total to buy the racks needed.

Step-by-step explanation:

First, every 20 CDs needs a new rack, so you would divide 120 by 20.

120 / 20 = 6 racks

Second, you would multiply the price ($3) of a rack by how many racks needed.

3 * 6 = $18

Answer:

h < 10 or (0, 10)

The problem has multiple solutions

Step-by-step explanation:

In this case we can calculate the height of the hot water tank because we know the diameter and volume. The formula is:

V = pi * (r ^ 2) * h

we solve for h:

h = V / (pi * r ^ 2)

the radius is half the diameter, that is, r = d / 2; r = 8/2 = 4

replacing:

h = 503 / (3.1413 * 4 ^ 2)

h = 10

the problem has multiple solutions since they say that it is shorter, shorter is a number less than 10.

solution: h <10 or (0, 10)

Answer:

12√2

Step-by-step explanation:

Use the Pythagorean Theorem here:

(12 cm)^2 + (12 cm)^2 = 288 cm^2.  

The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2

Given that both legs of a 45, 45, and 90 degree triangle are 12cm, find out the length of the hypotenuse.

To solve for the hypotenuse, we will use the Pythagorean Theorem.

The formula to find the hypotenuse is:

a^2 + b^2 = c ^2

We already know that both legs are 12cm, so we can plug them in.

12^2 + 12^2 = c^2

Solve.

144 + 144 = c^2

Add.

288 = c^2

Find the square root of 288.

sqrt(288) = 16.97

Therefore, the square root of 288 is 16.97

If we round 16.97 to 17 and then square it, that would equal 289.

So, the best choice is to leave it as 16.97.

Thus, the length of the hypotenuse is 16.97 or 17 if you want to round it.

Answer:

(x-4)^2+(x-6)^2=25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]2x^2(x-5)-3(x-5)=\\2x^3-10x^2-3x+15=\\(x-5)(2x^2-3)[/tex]

Therefore, the correct answer is choice A. Hope this helps!

The factor of the polynomial is (x - 5)(2x² - 3).

Option A is the correct answer.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

We can factor the polynomial 2x² (x - 5) - 3(x - 5) by first factoring out the common factor of (x - 5).

This gives:

2x² (x - 5) - 3(x - 5)

= (x - 5)(2x^2 - 3)

Thus,

The factor of the polynomial is (x - 5)(2x² - 3).

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ7

Answer:

2 years and 13 days

Step-by-step explanation:

Kevin deposits $1000 at 9% annual interest, compounded quarterly. How long will it take the account to earn $1000 in interest? Round to the nearest year. 11+0)46 = 21 7.79 -t 2 years 13 MOVI2.

Answer: to

this answer is attached to the picture

Answer:

[tex] \frac{53}{64} [/tex]

Step-by-step explanation:

[tex] \frac{7}{8} - \frac{3}{64} \\ \frac{7 \times 8}{8 \times 8} - \frac{3}{64} \\ \frac{56}{64} - \frac{3}{64} \\ = \frac{53}{64} [/tex]

Answer:

$19.25 - 10% = $17.50

Step-by-step explanation: Not sure which method your referring to, but its a simple equation that can be written out as the above.

1 hour is 60 minutes.

She spent a total of 60 + 15 + 25 = 100 minutes on home work.

She spent 25 reading, so she spent 25/100 of her time reading.

25/100 reduces to 1/4

Answer:

V =36000 pi cm^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

We know the radius is 30

V = 4/3 pi (30)^3

V = 4/3 pi (27000)

V =36000 pi cm^3

Answer:

The table isn't shown, but f(0) will be found when you put zero in for x.

So the right answer is of option D.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

(6x + 11)(x – 5)

Step-by-step explanation:

It's D on edg

Answer:

640.56ft^2

Step-by-step explanation:

V=2πrh+2πr^2

V=2×3.14×6ft×11ft+2×3.14×6^2

V=6.28×66ft^2+6.28×36ft^2

V=414.48ft^2+226.08ft^2

V=640.56ft^2

Step-by-step explanation:

3 is missinh to make this question true

3×(4+9)

Answer:

Step-by-step explanation:

Perimeter of rectangle = 208 m

2*(l + w) = 208  {divide both sides by 2}

l +w = 208/2

l +w = 104

l = 104 - w

Area of rectangle = 2415 square meters

l*w = 2415

Substitute l = 104 - w in the above equation,

(104 - w ) *w = 2415

104w - w² = 2415

0 = 2415 - 104w + w²

w² - 104w + 2415 = 0

Sum = -104

Product  = 2415

Factors = (-69) , (-35)

w² - 35w - 69w + (-69)*(-35) = 0

w(w - 35) - 69(w - 35) = 0

(w -35)(w -69)

w - 35 = 0    ; w  -69 = 0

w = 35    ; w = 69

The dimensions of the building: 35 , 69

Answer:

3x

Step-by-step explanation:

6x-2y-3x+2y

Combine like terms

6x -3x     -2y +2y

3x                 +0

3x

Answer:

3x

Step-by-step explanation:

6x-2y-3x+2y

combine like term

6x-3x= 3x

-2y+2y=0

3x

Answer:

5 1/4

Step-by-step explanation:

Divide 15 3/4 by 3 to get the answer

Answer:

3600

Step-by-step explanation:so it is easiest to do one persons costs then just multiply it by 4 to get the cost of 4 people. so first for one person..... (their travel is) 130 + (hotel x 7 days) 60 x 7 + (spending money) 350 =900 . now multiply this by 4 = 3600

Let's start off by working out the cost for one person. This person has to spend 130 pounds on travel and have 350 pounds of spending money. So far that is 130+350 = 480 pounds. Then it says the hotel costs 60 pounds per day. At 7 days, it will cost one person 7*60 = 420 pounds. This adds onto the 480 to get 420+480 = 900.

Therefore, each person will need 900 pounds to go on a 7 day trip. If we had 4 people going, then 4*900 = 3600 pounds is needed total.

Answer:

B. (6, 8)

Step-by-step explanation:

To figure this out, you can plug in the coordinates to see if you get matching answers. Since you believe answer "B," is correct, we can check:

y - 8 = -3(x - 6)

8 - 8 = -3(6 - 6)

0 = -3(0)

0 = 0

Since the answers match, that makes answer "B," correct.

Answer:

6k-5

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

6-5=1

1*k=k

Answer:

[tex]x = \frac{1}{5} [/tex]

Step-by-step explanation:

8-9=-5x

-1=-5x (divide both sides by -5)

x=-1/5 (since they r both negative they both become positive)

x=1/5

Step-by-step proof:

by AAA similarity, triangle WZP is similar to triangle XYP.

so WZ/WY=PZ/PY=1=WP/PX, so we get WP=PX

Answer:

n/a

Step-by-step explanation:

theyre similar by aaa similarity

Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful

Step-by-step explanation:

Answer:

Just took it!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Substitute x = 2 and y = 5 into the left side of the equations and if equal to the right side then they are a solution.

x + 2y = 2 + 2(5) = 2 + 10 = 12 ← True

3x + 6y = 3(2) + 6(5) = 6 + 30 = 36 ← True

Thus x = 2, y = 5 is a solution to both equations

Answer:

i dont understand your question

Step-by-step explanation:

Answer:

Correct option: A

Step-by-step explanation:

The angle BDC inscribe the arc mBC, so we have that:

mBDC = (1/2) * mBC

mBDC = (1/2) * 118 = 59°

From the secants relation in a circle, we have that:

mA = (1/2) * (mBC - mDE)

35 = (1/2) * (118 - mDE)

70 = 118 - mDE

mDE = 48°

The sum of the arcs is 360°, so we have:

mBC + mCD + mDE + mBE = 360

118 + mCD + 48 + 76 = 360

mCD = 360 - 118 - 48 - 76 = 118°

The angle mCBD inscribes the arc mCD, so we have:

mCBD = (1/2) * mCD = (1/2) * 118 = 59°

The angles mCBD and mBDC are equal, so the triangle is isosceles.

Correct option: A

Answer:

r = 6 cm

Step-by-step explanation:

The volume of a sphere is 288 pi cm tripled . Find the lenght of a radius of a SPHERE.What is the answer and how did you do it?

-------------------

The volume of a sphere of radius r is:

V+=+4%2Api%2Ar%5E3%2F3

It's r cubed, not tripled. meaning r*r*r

-------------------

288pi+=+4%2Api%2Ar%5E3%2F3

864+=+4r%5E3

r%5E3+=+216

r = 6 cm