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astra-53 [7]
3 years ago
14

Find two consecutive even integers such that the sum of the larger and three times smaller is 234

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0
X + (x + 2)
x + 2 + 3x = 234 combine like terms
4x + 2 = 234 subtract two to isolate x
4x = 232 divide by four
x = 58

The two numbers are 58 and 60.
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The answer is 
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4 years ago
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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
5/8 + 3/6 SOMEONE PLS HELP MEEEE.​
anygoal [31]

Answer:

1.125 or 9/8

Step-by-step explanation:

5/8 is .625 and 3/6 is .5 so .625+.5=1.125

6 0
3 years ago
A 20-gallon salt-water solution contains 15% pure salt. How much pure water should be added to it to produce a 10% solution?
Elanso [62]

15% of 20 gal = 0.15 * 20 gal = 3 gal, so the solution contains 3 gal of salt.

If we add <em>x</em> gal of water to the solution, we end up with (20 + <em>x</em>) gal of solution. We want the new mixture to have a concentration of 10%, or

10% of (20 + <em>x</em>) gal = 0.1 * (20 + <em>x</em>) gal = 2 + 0.1<em>x</em> gal

of salt.

The amount of salt in the tank hasn't changed. Solve for <em>x </em>:

2 + 0.1<em>x</em> = 3

0.1<em>x</em> = 1

<em>x</em> = 10 gal

3 0
3 years ago
What does 3 (2x - 4) = 8x 14 equal?
jeka57 [31]
6x - 12 = 8x + 14
2x = - 26
x = - 13
5 0
4 years ago
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