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MaRussiya [10]
3 years ago
11

Which property would you use to simplify the following expression 4(y+5)

Mathematics
1 answer:
Gelneren [198K]3 years ago
7 0
Distribution property. You would distribute 4 into (y + 5), giving you the answer 4y + 20.
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1. A right angled triangle has two shorter sides and one is twice as long as the other. The hypotenuse is 25 cm long. What are t
Semenov [28]

Step-by-step explanation:

The hypotenuse of a right-angled triangle = 25 cm

One side is twice as long as the other.

Let the other side is x.

First side = 2x

Using Pythagoras theorem to find the lengths of the shorter sides.

x^2+(2x)^2=25^2\\\\x^2+4x^2=625\\\\5x^2=625\\\\x^2=125\\\\x=11.18\ cm

So, the other side = 11.18 cm

First side = 2(11.18) = 22.36 cm

So, the lengths of the shorter sides are 11.18 cm and 22.36 cm.

7 0
3 years ago
Please help me Solve P=2x+2w for x thank you
Lilit [14]
P = 2(x + w)
P/2 = w + x
x = P/2 - w

4 0
3 years ago
A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
Katena32 [7]

Answer:

x (children) = 58

y (students) = 66

z (adults) = 29

Step-by-step explanation:

Step 1: Write system of equations

x + y + z = 153

5x + 7y + 12z = 1100

1/2x = z

The best way to solve the systems of equations is to use an augmented matrix:

Top row: [1 1 1 | 153]

Middle row: [5 7 12 | 1100]

Bottom row: [1/2 0 -1 | 0]

And then put it in RREF form:

Top row: [1 0 0 | 58]

Middle row: [0 1 0 | 66]

Bottom row: [0 0 1 | 29]

3 0
4 years ago
Randy coffee shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How
Ratling [72]

Answer:

The answer is 12

Step-by-step explanation:

Step 1: $26.95 - $8.95 (which equals $18.00)

Step 2: 18 divided by 1.50 (which equals 12)

5 0
4 years ago
Which describes all decimals that are rational numbers?
taurus [48]
The decimal terminates or repeats
3 0
3 years ago
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