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UkoKoshka [18]
3 years ago
11

12(5+2y)=4y-(6-9y) How to Solve

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

y = -6

Step-by-step explanation:

12 (5 + 2y) = 4y- (6 - 9y)

= 60 + 24y = 4y - 6 + 9y

= 60 + 24y = 13y - 6

= 24y - 13y = -6 - 60

= 11y = -66

y = -6

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Solve the system using elimination.
yan [13]

Answer:

y=-3

Step-by-step explanation:

5x+7y=-31

(-) 5x-9y+17

-----------------

16y=-48

------------

16       16

y=-3

8 0
2 years ago
Solve the equation by factoring.<br> x² + 2x - 63 = 0<br> x = -9, [?]
xeze [42]

Step-by-step explanation:

x² + 2x - 63 = 0

(x+9)(x-7)=0

x=-9 x=7

7 0
1 year ago
In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
3 years ago
HELP!! NUMBER PATTERNS, Rule: Add 15, subtract 10. First term: 4
Verizon [17]
It is 9 for 4+15-10.
5 0
3 years ago
Read 2 more answers
Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.
sladkih [1.3K]
This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 <span>• 9 = 54

Then multiply each numerator by the opposing denominator.

1 </span><span>• 9 = 9

2 </span><span>• 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.</span>
7 0
3 years ago
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