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harina [27]
4 years ago
10

5y+6=-3y + 54 please help me solve this step by step asap !

Mathematics
2 answers:
Olenka [21]4 years ago
5 0

Answer:

6=y

Step-by-step explanation:

5y + 6 = -3y +54

isolate y

+3y

8y +6 =54

subtract 6 to isolate y.

8y = 48

divide by 8 so y is alone w no coefficient other than 1

y=6

frutty [35]4 years ago
3 0

Step-by-step explanation:

5y+6=-3y+54

the ans is 6

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\csc x=\dfrac{1}{\sin x}\\\\\sec x=\dfrac{1}{\cos x}

A.\\\\\sin x=\dfrac{5}{\sqrt{74}}=\dfrac{5\sqrt{74}}{74}\\\\\csc y=\dfrac{1}{\frac{7}{\sqrt{74}}}=\dfrac{\sqrt{74}}{7}\\\\B.\\\\\tan x=\dfrac{5}{7}\\\\\cot y=\dfrc{5}{7}\\\\C.\\\\\cos x=\dfrac{7}{\sqrt{74}}=\dfrac{7\sqrt{74}}{7}\\\\\sec y=\dfrac{1}{\frac{5}{\sqrt{74}}}=\dfrac{\sqrt{74}}{5}

D.\\\sin\theta=\dfrac{2}{3}\\\\\sin^2\theta+\cos^2\theta=1\to\left(\dfrac{2}{3}\right)^2+\cos^2\theta=1\\\\\dfrac{4}{9}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{4}{9}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{5}{9}\to\cos\theta=\sqrt{\dfrac{5}{9}}\to\cos\theta=\dfrac{\sqrt5}{3}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\to\tan\theta=\dfrac{\frac{2}{3}}{\frac{\sqrt5}{3}}=\dfrac{2}{3}\cdot\dfrac{3}{\sqrt5}=\dfrac{2}{\sqrt5}=\dfrac{3\sqrt5}{5}

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12345 [234]

Answer:

They will have the same amount of money in their piggy banks when they each reach $6. (4 days for Joseph, 3 for Kelsey.)

Step-by-step explanation:

Joseph has $3.00 and will add $0.75 cents to it each day. So for the first day he will have $3.75. Then, $4.50. Then, $5.25. Then on the fourth day, he will have $6.

Kelsey has $5.25 and will add $0.25 each day. For the first day, she will have $5.50 in her piggy bank. Then, $5.75. Then $6.

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3 years ago
What value of b will make the expressions −12.8x+b and −3.2(4x−2.1)+2.4 equivalent?
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- 12.8x + b =  - 3.2(4x - 2.1) + 2.4

Distribute -3.2 through the parentheses

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Cancel equal terms on both sides of the equation

b = 6.72 + 2.4

Add the decimals

b = 9.12

<em>Thus, The expression are equivalent at b = 9.12...~</em>

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3 years ago
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