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elena-s [515]
2 years ago
11

Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x re

present the smaller number and y represent the larger number.
Which equations represent the situation?

A: 2Y+x=5
5x-y=3

B: 2x+y=5
5y-X= 3

C: 2y + x = 5
y-5x = 3

D: 2x+y-5
X-5y = 3​
Mathematics
1 answer:
Veronika [31]2 years ago
3 0

Answer:

The equations which represents the situation are

1) 2Y+X=5

2) 5X-Y=3

Step-by-step explanation:

<em>~Cornasha_Weeb</em>

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Make Q the subject of the formula A = Q2 - 2a.
son4ous [18]

Answer:

\huge\boxed{Q = \sqrt{A+2a}}

Step-by-step explanation:

A = Q^2 -2a

Adding 2a to both sides

Q^2 = A+2a

Taking sqrt on both sides

Q = \sqrt{A+2a}

8 0
3 years ago
Adina read 60 out of 100 pages in a comic book.Write the fraction of the pages she read in simplest form
Ad libitum [116K]

Answer:

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Step-by-step explanation:

60 divided by 20 is 3 and 100 divided by 20 is 5.

So 3/5

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2 years ago
Which values of A and B make the following equations true?
Korolek [52]
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</span><span>
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3 years ago
What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl
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Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

A(t) = A(0)(1+r)^t

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

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This means that r = 0.05, and thus:

A(t) = A(0)(1+r)^t

A(t) = A(0)(1+0.05)^t

A(t) = A(0)(1.05)^t

Time for the balance to triple?

This is t for which A(t) = 3A(0). So

A(t) = A(0)(1.05)^t

3A(0) = A(0)(1.05)^t

(1.05)^t = 3

\log{(1.05)^t} = \log{3}

t\log{1.05} = \log{3}

t = \frac{\log{3}}{\log{1.05}}

t =  22.52

It takes 22.52 years for the balance to triple in value.

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