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3 years ago

13

Dad is 4 times as old as his son Jim. In 10 years, Dad's age will be 20 years more than twice Jim's age. How old is Jim? 10 year

s old 15 years old 30 years old

1 answer:

mezya [45]3 years ago

8 0

Jim is currently 15 years old!!

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What is the shape of the cross-section formed when a cylinder intersects a plane as shown in the drawing?

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Step-by-step explanation:

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4 years ago

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel o

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(a) Increase the selling price of $42 by 10%

damaskus [11]

Answer:

<h2>$46.2</h2>

Step-by-step explanation:

$p\%=\dfrac{p}{100}\\\\10\%=\dfrac{10}{100}=\dfrac{1}{10}=0.1\\\\10\%\ of\ \$42\to0.1\cdot\$42=\$4.2\\\\\$42+\$4.2=\$46.20$

Other method:

$\text{Increase bo}\ 10\%\to100\%+10\%=110\%\\\\110\%=\dfrac{110}{100}=\dfrac{11}{10}=1\dfrac{1}{10}=1.1\\\\110\%\ of\ \$42\to1.1\cdot\$42=\$46.2$

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4 years ago

What is the slop of a line perpendicular to the line whose equation is 4x+6y=108. Reduce your answer

ahrayia [7]

<u>Answer:</u>

The slope of a line perpendicular to the line whose equation is 4x+6y=108 is $\frac{3}{2}$

<u>Solution:</u>

Given, line equation is 4x + 6y = 108.

We have to find the slope of the line which is perpendicular to the given line equation.

We know that, <u><em>product of slopes of perpendicular lines equals to – 1</em></u>

So, now, let us find the slope of the given line equation.

$\text { Slope of a line }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-4}{6}=\frac{-2}{3}$

Now,

slope of given line $\times$ slope of its perpendicular line = -1

$\frac{-2}{3} \times slope of perpendicular line = -1$

$\text { Slope of perpendicular line }=-1 \times \frac{3}{-2}=\frac{-3}{-2}=\frac{3}{2}$

Hence, the slope of the perpendicular line is $\frac{3}{2}$

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3 years ago

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Svetllana [295]

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Step-by-step explanation:

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3 years ago