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Olenka [21]
3 years ago
10

Trevor has $9100 in an investment account. He withdrew all of his money from the account. He spent $1100 on a plane ticket to Pa

ris before spending 1/5 of the remaining balance on a gift for his wife. How much did Trevor have left after purchasing a plane ticket and after buying the gift?
Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer:

$6,400

Step-by-step explanation:

9100-1100

8000

8000×1/5

$1600

8000-1600

$6,400

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A map scale shows that 2 inches represents 90 miles. How many inches would represent 315 miles ?
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Step-by-step explanation:

315/90x2

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Solve for x and y<br><br>Both questions please ❤️​
zimovet [89]

Answer:

1. x=18, y=6\sqrt{10}

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18

Consider right triangle BCD. By the Pythagorean theorem,

BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}

2. Consider right triangleGM*. By the Pythagorean theorem,

G*^2=GM^2+M*^2\\ \\240^2=GM^2+192^2\\ \\GM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\\ \\GM=144

Use this property to find x:

GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108

Consider right triangle GMCup. By the Pythagorean theorem,

y^2=x^2+GM^2\\ \\y^2=108^2+144^2\\ \\y^2=32,400\\ \\y=180

3 0
4 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

820

Step-by-step explanation:

779/x = 95/100

779×100

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