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ladessa [460]
2 years ago
7

the sum of 2 positive integers is 10. the difference of their reciprocals is 3/8. find both positive integers

Mathematics
1 answer:
Elena-2011 [213]2 years ago
4 0

Answer:

The 2 integers would be: 2 and 8

Step-by-step explanation:

2 + 8 = 10

Reciprocal of 2: 1/2

Reciprocal of 8: 1/8

1 / 2 - 1 / 8 = 4/8 - 1/8 = <u>3/8</u>

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Find the value of x I’d appreciate if you could explain as well if not that’s fine
Kipish [7]
All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)
7 0
2 years ago
How much to the nearest dollar should you deposit in a savings account at 2.5% annual simple interest in order to have a balance
Aneli [31]

Answer:

The amount we have to deposit in a savings account x = $ 17777.78

Step-by-step explanation:

Amount = $ 20000

R = 2.5 %

Time = 5 years

Take principal amount = x

Simple interest earned in five years

S.I. = \frac{P R T}{100}

S.I. = \frac{P (2.5)(5)}{100}

S.I. = \frac{x}{8}   ------- (1)

We know hat total amount is given by

Total amount = principal amount + simple interest

A = x + S.I.

A = x + \frac{x}{8}

A = \frac{9x}{8}

Given that the total amount after 5 years is = $ 20000

\frac{9x}{8} = 20000

x = $ 17777.78

This is the amount we have to deposit in a savings account.

6 0
3 years ago
Dylan invested $20,000 in an account paying an interest rate of 5.3% compounded continuously. Assuming no deposits or withdrawal
almond37 [142]

Answer:

$24,240

Step-by-step explanation:

20,000 + 1,060 (5-1)

7 0
3 years ago
576 is what percent of 800?
aleksley [76]
72 percent.
Divide 576 into 800 to get 72%
8 0
3 years ago
Read 2 more answers
In a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
Neko [114]

Answer:

105/330 = 21/66 = 7/22

7/22 is the answer I think

Step-by-step explanation:

n(U) = 330

n(A) = 85

n(B) = 200

n(A n B) = 60

Now,

n(A U B) = n(A) + n(B) - n(A n B)

or, n(A U B) = 85 + 200 - 60

or, n(A U B) = 285 - 60 = 225

Now,

n(A U B) compliment = n(U) - n(A U B)

n(A U B) compliment = 330 - 225

so, n(A U B) compliment = 105

Now,

probability = 105/330

8 0
2 years ago
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