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olga2289 [7]
3 years ago
7

8/20 as a decimal and each fraction in simplest form

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0
8/20 as a decimal is 0.4.
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1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2
erik [133]
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

 (2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
 


5 0
3 years ago
$4,700 is invested in an account earning 6.2% interest (APR), compounded
pickupchik [31]

Answer:

(5 x (-20)) * (100 x (0.7))

4 0
2 years ago
Combine like terms. What is a simpler form of each expression?<br> 30 - 5d - C + 3d
borishaifa [10]

30 - 5d - c + 3d

In this equation there are two numbers which have the letter d with them. These would be like terms.

You have -5d + 3d which equals -2d

The simplified form would be 30 -2d -c

4 0
3 years ago
Read 2 more answers
What is 877.71 rounded to the nearest tenth
Yuki888 [10]
877.71=877.7
when rounding, look at the previous place value to determine if you should round up or down :)

5 0
3 years ago
Read 2 more answers
The college that Dora attends is selling tickets to the annual
Ksenya-84 [330]

Answer:

The solution of the system of equations is (11, 12)

Step-by-step explanation:

∵ The price of each student ticket is $x

∵ The price of each adult ticket is $y

∵ They sold 3 student tickets and 3 adult tickets for a total  of $69

∴ 3x + 3y = 69 ⇒ (1)

∵ they sold 5  student tickets and 3 adults tickets for a total of $91

∴ 5x + 3y = 91 ⇒ (2)

Let us solve the system of equations using the elimination method

→ Subtract equation (1) from equation (2)

∵ (5x - 3x) + (3y - 3y) = (91 - 69)

∴ 2x + 0 = 22

∴ 2x = 22

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{22}{2}

∴ x = 11

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(11) + 3y = 69

∴ 33 + 3y = 69

→ Subtract 33 from both sides

∵ 33 - 33 + 3y = 69 - 33

∴ 3y = 36

→ Divide both sides by 3

∵ \frac{3y}{3}=\frac{36}{3}

∴ y = 12

∴ The solution of the system of equations is (11, 12)

5 0
3 years ago
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