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Feliz [49]
3 years ago
10

How do you solve 2/3 x=12 one step

Mathematics
1 answer:
asambeis [7]3 years ago
8 0
Remembe you can do anything to an equation as long as you do it to both sides

multiply both sides by 3/2 or divide both sides by 2/3 (same thing)
we get x=36/2 or x=18
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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
2 years ago
The perimeter of a rectangle garden is 364 feet. If the width of the garden is 85 feet, what is it length?
kherson [118]

P=2(L+W)

P=364

L=99

sub and find W

364=2(99+W)

divide both sides by 2

182=99+w

subtract 99 from both sides

83=W

w=83ft

6 0
2 years ago
5. Find the area of an equilateral triangle with a<br> perimeter of 24 in.<br> what’s the area?
Zolol [24]

Answer:

18

Step-by-step explanation:

24÷3=6 6×6=36 36÷2=18

6 0
3 years ago
What mistake did she make?
tiny-mole [99]

Step-by-step explanation:

According to the pythagrean equation, it should be

AC^2 = AB^2 + BC^2\\

8² = 6² + BC²

64 = 36 + BC²

BC² = 28

BC = ✓28 = 5.29

7 0
2 years ago
Calculate the pay for the following day of a
sineoko [7]

<u>Answer:</u>

$109.38

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

$12.50 x 4 hours = $50

$12.50 x 4 hours and 45 minutes = $59.38

$50 + $59.38 =

$109.38

4 0
3 years ago
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