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Arisa [49]
3 years ago
10

The sum of two numbers is 22. Three times one number increased by five is the same as twice the other number decreased by four.

What is the LARGER
of the two numbers?
A. 16
B. 7
C. 11
D. 15
Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

The larger number is 15.

Step-by-step explanation:

Let the numbers be x and y.

Given x + y = 22

   3x+ 5 = 2y - 4      →  3x - 2y = -9

Now solving the above two equations we get,

3x + 3y = 66

3x - 2y = -9

Subtracting, 5y = 75  → y = 15;  x = 7

The larger number is 15. (D)

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What is the least common multiple of the two denominators?
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Answer:

32

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32 × 1 = 32

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2 years ago
Marcy wants $205 in her bank account. If she has $85 now and adds $10 per week, how many weeks will it take her to reach her goa
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^^1 week and 5 days

Explanation:

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3 years ago
A store is having a sale where school supplies are 30% off their original price. A backpack is on sale for $11.20. What was the
Mrac [35]
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7 0
3 years ago
16x 2 + 8x - 15 Mathematics?
Gala2k [10]
If you're factoring, your answer is

(4x - 3)(4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:

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Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to

(4x - 3)(4x + 5)
5 0
3 years ago
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