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3 years ago

The sum of two numbers is 56,and their difference is 10.What are the numbers?

1 answer:

6 0

So, X + Y = 56, and X - Y = 10.
We can say X = Y +10, so we can also say:
(Y+10) + Y = 56
2Y + 10 = 56

2Y = 46

Y = 23.

Then we can say

X - 23 = 10

So X = 33

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A scale drawing has a scale of 1/4 in. :6ft.find the length of the drawing for each actual length.

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Answer:

2 3/4 in.

Step-by-step explanation:

66/6 = 11

11(1/4) = 11/4

11/4 = 2 3/4

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3 years ago

Which expression is equivalent to this one?

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A. 6(k + s)
It's the distributive property.

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Problem page a pipe is 30 feet long. it needs to be cut into pieces that are each 23 feet long. how many pieces can be made from

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4 years ago

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A house with an original value of increased in value to in years. What is the ratio of the increase in value to the original val

Anika [276]

Answer:

Ratio of the increase in value to the original value will be 1 : 5

Step-by-step explanation:

This question is incomplete; Here is the complete question.

A house with an original value to $150,000 increased in value to $180,000 in 5 years. what is the ratio of the increase in value to the original value of the house?

Original value of the house = $150000

Value of the house after 5 years = $180000

Appreciation in value of the house after 5 years = $180000 - $150000

= $30000

Now the ratio of the increase in value to the original value = $\frac{\text{Increased value}}{\text{Original value}}$

= $\frac{30000}{150000}$

= $\frac{1}{5}$ or 1 : 5

Therefore, ratio of the increase in value to the original value of the house is 1 : 5

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3 years ago

Suppose a ball is thrown upward to a height of h 0 meters. After each bounce, the ball rebounds to a fraction r of its previous

gladu [14]

Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0

3 years ago