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2 years ago

The sum of two numbers is 27. The larger number is 6 more than twice the smaller number. What are the numbers?

Mathematics

1 answer:

yawa3891 [41]2 years ago

6 0

Answer:

Let the smaller number be x

Then the sum is

(6 + 2x) + x = 27

We now find for x

2x + x + 6 = 27

3x + 6 = 27

3x = 27-6

3x = 21

x = 21/3

x = 7

Therefore the smaller number is 7

The larger number is (2×7) + 6 = 20

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Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each

zheka24 [161]

ANSWER

$16,384

EXPLANATION

From the question we have that,

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.

This forms a geometric sequence,

$1,2,4,...$

The first term of this sequence is

$a = 1$

The common ratio is

$r = \frac{2}{1} = \frac{4}{2} = 2$

The general term of a geometric sequence is given by the formula:

$f(n) = a {r}^{n - 1}$

To find the 15th term, we plug in a=1, r=2 and n=15.

$f(15) = 1 {(2)}^{15 - 1}$

$f(15) = {2}^{14}$

$f(15) = 16384$

The amount he will save on the 15th day is $16,384

4 0

2 years ago

Simplify. –24 – 8 ÷ (–4) <br> A. –22 <br> B. –8 <br> C. –26 <br> D. 8

pishuonlain [190]

Hi there! The answer is A. - 22

We can use PEMDAS to find our answer, which says divide first (before adding).

- 24 - 8 : (-4) =

Since we divide two negative numbers, we end up with a positive value.
- 24 + 2 =

Now we can add
-24 + 2 = -22

8 0

2 years ago

Read 2 more answers

Suppose you earn $7.25 per hour working part-time for a florist. Write and solve an inequality to find how many full hours you m

svlad2 [7]

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