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stiks02 [169]
3 years ago
6

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]
<span>

</span>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.


<span>Therefore, 53 x 5 = 265.</span>

4 0
2 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]

<u>Given:</u>

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.

<u>To find:</u>

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

<u>Solution:</u>

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.

5 0
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.
7 0
2 years ago
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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

or

c^2 = 9dp

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

8 0
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
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