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valkas [14]
3 years ago
15

Add and subtract the following fractions. Remember to find the LCD first.

Mathematics
1 answer:
Sever21 [200]3 years ago
4 0

11. 345,000

12. 128,000

13. 42.5

14. 39.6

15. $365.47; $365

16. $125.65; $126

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What is the sum of the n terms of the series 4 + 12 + 36 + 108 + . . . ?
arlik [135]
Sum of n terms of a geometric series is
Sn = a1 (r^n-1)/(r-1)
a1 = 1st term = 4
r = common ratio = 12/4 = 3
so, the sum is
Sn = 4 (3^n-1)/(3-1) = 2(3^n-1)
8 0
3 years ago
You are searching for two integers. The sum of twice the first integer and three times the second integer is nine. At the same t
devlian [24]

Answer:  -3 and 5

<u>Step-by-step explanation:</u>

Let x represent the 1st digit and y represent the 2nd digit. Then,

Eq 1: 2x + 3y = 9   →    3(2x + 3y = 9)     →     6x + 9y = 27

Eq 2: 3x + 2y = 1   →   -2(3x + 2y = 1)     →     <u>-6x - 4y =  -2</u>

                                                                              5y = 25

                                                                                y =  5

Substitute y = 5 into either of the original equations to solve for x:

2x + 3y = 9

2x + 3(5) = 9

2x + 15 = 9

2x        = -6

 x        = -3

Check (using the other original equation):

3x + 2y = 1

3(-3) + 2(5) = 1

-9    +  10   = 1

        -1       = 1  \checkmark

4 0
3 years ago
Simplify the expression 2x - 4 + 3x
torisob [31]
To simplify the equation. 2x - 4 + 3x, all you need to do is combine like terms, which are 2x and 3x. The resulting answer would be 5x - 4. Hope this helps and have a wonderful day!
5 0
3 years ago
Read 2 more answers
Select the correct answer.
kipiarov [429]

Answer:

A

Step-by-step explanation:

v - 2u

= < - 2, 4 > - 2 < 2.5, - 4 > ← multiply each component by 2

= < - 2, 4 > - < 5, - 8 > ← subtract corresponding components

= < - 2 - 5, 4 + 8 > = < - 7, 12 >

Graph A shows the resulting vector

8 0
3 years ago
Read 2 more answers
Determine the value for x in the given diagram when a||b.
Sladkaya [172]

Answer:

55°

Step-by-step explanation:

Since a||b

Then corresponding angles are equal

So 55 is correspondent to X

Therefore X=55°

4 0
3 years ago
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