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hichkok12 [17]
3 years ago
9

Solve for x 7/6 - (5x-3) = 1/5x - 12

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

\dfrac{7}{6}-(5x-3)=\dfrac{1}{5}x-12\\\\\dfrac{7}{6}-5x+3=\dfrac{1}{5}x-12\qquad|\text{multiply both sides by LCM(6, 5)=30}\\\\30\cdot\dfrac{7}{6}-30\cdot5x+30\cdot3=30\cdot\dfrac{1}{5}x-30\cdot12\\\\5\cdot7-150x+90=6\cdot1x-360\\\\35-150x+90=6x-360\\\\-150x+(35+90)=6x-360\qquad|\text{subtract 6x from both sides}\\\\-156x+125=-360\qquad|\text{subtract 125 from both sides}\\\\-156x=-485\qquad|\text{divide both sides by (-156)}\\\\x=\dfrac{485}{156}

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vampirchik [111]

Answer:

64 teachers

Step-by-step explanation:

We can use ratios to solve

14 students   896 students

----------------- = -------------

1 teacher          x teachers

Using cross products

14 * x = 896*1

Divide each side by 14

14x/14 = 896/14

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4 0
3 years ago
You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the
Otrada [13]

Answer:

Please check the explanation.

Step-by-step explanation:

a)  How much will you have at the middle of the first year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

substituting the values

A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}

A=300\cdot \frac{2.06}{2}

A=\frac{618}{2}

A=309 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

Total amount = A = ?

Using the formula

A\:=\:P\left(1+\frac{r}{n}\right)^{nt}

so substituting the values

A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}

A=300\cdot \frac{2.06^2}{2^2}

A=318.27 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 300.00 at a rate of 6% per year  compounded 2 times per year  over 1 year is $ 318.27.

7 0
3 years ago
Please guys help me please no links
Yakvenalex [24]

Answer:

it's F.

Step-by-step explanation:

i used my calculator. just trust me

3 0
3 years ago
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Identify the corresponding word problem given the equation: x = 10.20 × 9
crimeas [40]

B) At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill?

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Lilly’s dog eats 8 ounces of dog food each day . Lily bought a 28 pound bag of dog food . How many 8 ounces servings are in 28 p
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