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Alja [10]
3 years ago
7

Amanda's penny bank is 2/3 full.

Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

450 pennies

Step-by-step explanation:

2/3 ➡ 3/3 × 2/3 = 6/9

let's call it 9x

the bank contains 6x after she removes 100 pennies 4x is left

which means 2x = 100 pennies and x = 50 pennies

therefore the bank can carry 50 × 9 = 450 pennies

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A costume costs $32.80. Today it is discounted 30%. How much did the costume cost today?
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WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. THANK YOU AND GOD BLESS. THE QUESTION IS ATTACHED. :)
Anuta_ua [19.1K]

9514 1404 393

Answer:

  (x, y) = (34/5, -4/5) = (6.8, -0.8)

Step-by-step explanation:

Subtract the first equation from the second to eliminate x.

  \left(\dfrac{x}{3}-\dfrac{y}{2}\right)-\left(\dfrac{x-5}{3}+\dfrac{y+2}{3}\right)=\left(\dfrac{8}{3}\right)-(1)\\\\y\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{5}{3}-\dfrac{2}{3}\right)=\dfrac{5}{3} \qquad\text{partially simplify}\\\\-\dfrac{5}{6}y=\dfrac{2}{3} \qquad\text{subtract 1}\\\\y=-\dfrac{4}{5} \qquad\text{multiply by $-\dfrac{6}{5}$}

Substituting for y in the second equation, we can find x.

  \dfrac{x}{3}-\dfrac{1}{2}\left(-\dfrac{4}{5}\right)=\dfrac{8}{3}\\\\5x +6=40 \qquad\text{multiply by 15}\\\\5x=34\qquad\text{subtract 6}\\\\x=\dfrac{34}{5}

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7 0
3 years ago
− 8/7 +(−1/2) reduced to simplest form
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Answer:

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Step-by-step explanation:

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ANSWER ASAP PLS..........
Korolek [52]

The length of one leg of the right triangle is 5√10

<h3>How to find the leg of a right triangle?</h3>

The leg of a right triangle can be found as follows;

Therefore, using trigonometric ratios,

sin 45 = opposite / hypotenuse

sin 45 = x / 10√5

1 / √2 = x / 10√5

cross multiply

10√5 = x√2

divide both sides by √2

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x = 10√5 / √2 × √2 / √2

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learn more on right triangle here: brainly.com/question/3398476

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