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3 years ago

A secretary can type 12 pages per hour. There are a total of 152 pages to type. How many pages remain to be typed after 9 hours?

1 answer:

4 0

So, she can type 12 pages in 1 hour, how many would she type in 9 hours then? let's check,

$\bf \begin{array}{ccll}
pages&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
12&1\\
p&9
\end{array}\implies \cfrac{12}{p}=\cfrac{1}{9}\implies \cfrac{12\cdot 9}{1}=p$

so in 9 hours, she has that typed that many pages, how many pages remain from the 152? well 152 - p.

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Ashton bought 5 cans of olive oil. Each can had a radius of 3.2 inches and was 15 inches tall. Find the total cubic inches of ol

amid [387]

Step-by-step explanation:

A can is a cylinder.

Volume of a can = Volume of Cylinder

$= \pi {r}^{2} h$

Given Radius = 3.2 inches and height = 15 inches,

Volume of one olive oil can =

$\pi( {3.2}^{2} )(15) \\ = 153.6\pi {in}^{3}$

Volume of 5 olive oil cans = 5 x volume of one olive can

$= 5 \times 153.6\pi \\ = 768\pi {in}^{3}$

I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.

5 0

3 years ago

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre.

almond37 [142]

Answer:

The goat would cover 9 meters in taking 24 steps.

Step-by-step explanation:

There is a mistake in the question so the correct question is below:

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers = $\frac{1}{2} \ meter.$

So, 3 step of horse covers = $\frac{1}{2} \times 3$ $=\frac{3}{2} =1.5\ meters.$

Thus, 3 steps of horse covers = 1.5 meters.

As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.

So, the distance covers by goat in 4 steps = 1.5 meters.

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = $\frac{1.5}{4}$

Thus, the distance cover by the goat in 24 steps = $\frac{1.5}{4}\times 24$

= $\frac{36}{3}$

= $9\ meters.$

Therefore, the goat would cover 9 meters in taking 24 steps.

8 0

3 years ago

Write the area A of a square as a function of its perimeter P. ...?

Svetradugi [14.3K]

The answer is A = P²/16

The perimeter P of a square is sum of its sides s: P = s + s + s + s = 4s
The area A of a square with side s is: A = s * s = s²

Step 1: Solve s from the formula for the perimeter.
Step 2: substitute s from the formula for the perimeter into the formula for the area.

Step 1:
P = 4s
s = P/4

Step 2:
A = s²
s = P/4
A = (P/4)²
A = P²/4²
A = P²/16

4 0

3 years ago

Hi, may someone help me with this question? Thank you!:) “If f(x) = x^2 + 7, find f(x+2)”

finlep [7]

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

= (x+2)(x+2) +7

FOIL

= x^2 +2x+2x+4 +7

Combine like terms

=x^2 +4x+11

5 0

3 years ago

Read 2 more answers

In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which

mario62 [17]

2 out of 50 were tagged.

Divide 2 by 50:

2/50 = 0.4 ( This is 4% of the fish were tagged).

Now divide the number of fish caught by the percentage that were tagged:

50 / 0.04 = 1250

The number of fish in the pond is C. 1250

6 0

3 years ago