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3 years ago

Which is steeper: a road with a 12% grade or a road with a pitch of 1 in 8?

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

A road with a pitch of 1 in 8 is steeper.

Step-by-step explanation:

Let us convert these to the same units so that we can better compare them.

$\frac{1}{8} = 0.125$

0.125=12.5 %

As 12.5% is greater than 12%, the road with a pitch of 1 in 8 will be steeper.

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Which expressions are equivalent to the one below? Check all that apply. 53 • 5x

weeeeeb [17]

Calculate 3 x 5, which is 15.Since 15 is two-digit, we carry the first digit 1 to the next column.

Calculate 5 x 5, which is 25. Now add the carry digit of 1, which is 26.Since 26 is two-digit, we carry the first digit 2 to the next column.

Bring down the carry digit of 2.

Therefore, 53 x 5 = 265.

4 0

3 years ago

Read 2 more answers

Zoe is a salesperson who sells computers at an electronics store. She is paid a 1% commission for every computer sale she makes,

ella [17]

Given:

Zoe gets paid a 1% commission for every sale she makes in addition to base pay.

She sold $8,000 worth of computers on a day and made $140 that day.

To find:

A function P(x) representing total pay on a day where she sells x dollars worth of computers.

Solution:

To determine the function P(x) we need to determine how much Zoe's base pay per day is.

One day, she sold $8,000 worth of computers and made $140 that day.

She gets a commission of 1% for $8,000.

1% of $8,000 $= \frac{1}{100} (8,000) = 80.$

So she got paid $140 out of which $80 was a commission.

So her base pay $= 140-80 = 60.$

So Zoe's base pay is $60 a day.

P(x) is the sum of her base pay and 1% of the amount of computer sales she makes ($x).

So $P(x) = 60 + (0.01)x$ , where x is the computer sales she makes in dollars. P(x) is represented in dollars.

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3 years ago

A deck is in the shape of a square. The area of the deck is 576 swuare feet. which is the length of each side of the deck

NNADVOKAT [17]

A) 24

All side lengths of a square are equal so you take the square root of 576 to get two 24. If you try it back: 24*24 (w*h) to get 576.

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2 years ago

Read 2 more answers

One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

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3 years ago

Which expression converts 100inches per minute to feet per minute?

Rzqust [24]

The are 12 inches in a foot. So 100ipm ÷12= fpm :) hope this helps

7 0

3 years ago