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Dovator [93]
4 years ago
5

A Web music store offers two versions of a popular song. The size of the standard version is

Mathematics
1 answer:
kicyunya [14]4 years ago
5 0
2.4x+4.7(4x)=5936
Solve for x
X=280 standard version

4×280=1,120 high-quality version
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If a straight line y = mx + c passes through the intersecting point of 3x - y = 8 and x+ 2y = 5 which is perpendicular to the li
Sindrei [870]

Answer:

Point of intersection:

3x - y = 8 -  -  - (a) \\ x + 2y = 5 -  -  - (b)

2 × equation(b) + equation (a):

7x = 21 \\ x = 3 \\  \\ y = 3x - 8 \\ y = 1

Point of intersection = (3, 1)

Perpendicular line:

3x + 6y - 11 = 0 \\ 6y =  - 3x + 11 \\ y =  -  \frac{1}{2} x +  \frac{11}{6}

General equation of line:

y = mx + c \\ 1 = (2 \times 3) + c \\ c =  - 5

<u>Value</u><u> </u><u>of</u><u> </u><u>m</u><u>:</u>

<u>m \times m {}^{i}  =  - 1 \\ m \times  -  \frac{1}{2}  =  - 1 \\ m = 2</u>

8 0
3 years ago
You emptied a cylindrical shark tank at the aquarium to clean it. The aquarium has a radius of 13 feet and a height of 18 feet.
mel-nik [20]
9556.72 cubic feet of water is needed to refill the tank.
3 0
3 years ago
Read 2 more answers
3) A box of tile contains 12 tiles. If
vichka [17]

Answer:

3 tiles left

Step-by-step explanation:

You can only use a maximum of 9 tiles to make a perfect square. You would need 7 more tiles to make a larger square. Having used 9 tiles, you will have 3 leftover. (12 - 9 = 3)

Hope I helped!

3 0
3 years ago
What properties does a square have in common with a quadrilateral?
satela [25.4K]
B and C are the only correct answers
4 0
3 years ago
1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%
vlabodo [156]

The monthly  payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

  • Principal (P): $ 295,000
  • Rate (r): 6.3%  = 0.063
  • Number of times compounded (n): 12months\times15 years = 180
  • Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180\times15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15\times12)

The monthly  payment on the mortgage = 2576.9 (approximately option C)

8 0
4 years ago
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