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stepladder [879]

1 year ago

8

If nine out of every sixteen students prefer to write with pens over pencils, what proportion of students prefer pens to pencils

?

1 answer:

Roman55 [17]1 year ago

5 0

Answer:

7

Step-by-step explanation:

U put the six aside then take the n subtract the 9 nd take de answer n add it with de 6 u've put away at 1st

Lyk dis

6+(10 - 9)

6+(1)

6+1

=7

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A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

Sonbull [250]

The perimeter of the square patio is the sum of its side lengths

The length of the patio is: 8x + 2

The given parameters are:

$\mathbf{Shape = Square}$

$\mathbf{Perimeter = 32x + 8}$

The perimeter of a square is:

$\mathbf{Perimeter = 4 \times Length}$

So, we have:

$\mathbf{4 \times Length = 32x + 8}$

Divide both sides by 4

$\mathbf{Length = 8x + 2}$

Hence, the length of the patio is: 8x + 2

Read more about perimeters at:

brainly.com/question/6465134

3 0

3 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

3 years ago

How much must you deposit in an account to earn $400 per year at 2% simple interest?

Strike441 [17]

Step-by-step explanation:

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

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Simple Interest Example:

Simple Interest

1 Year S.I = (1000 ×5 × 1)/100 = 50

2 Year S.I = (1000 × 5 × 2)/100 = 100

3 Year S.I = (1000 ×5 × 3)/100 = 150

7 0

3 years ago

Combining like terms<br><br> simplify the expression<br> n - 10 + 9n - 3

ohaa [14]

N-10+9n-3
n+9n=10n
10-3=7
so the answer is....
-13+10n

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3 years ago

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What’s the volume of a cylinder with a base of 25 and height of 6

Anastasy [175]

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3 years ago

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