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fomenos
4 years ago
9

Help with Algebra. Word Problems.

Mathematics
1 answer:
Drupady [299]4 years ago
3 0

For the first question, the answer is A (<em>p</em> = 27)

For the second one, I think that the answer is C

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Charles buys 30 packs of pens.
kompoz [17]

Answer:

£159

Step-by-step explanation:

Charles buys 30 packs of pens.

There are 15 pens in each pack.

Each pack costs £2.80.

Charles sells each pen for 90p but he only manages to sell 3/5 of the pens.

How much profit did he make?

Step 1

Charles buys 30 packs of pens.

There are 15 pens in each pack.

The total number of pens in the pack is

30 packs × 15 pens

= 450 pens

Each pack costs £2.80

Hence:

1 pack = £2.80

30 packs = x

Cross Multiply

x = 30 × £2.80

x = £84

Step 2

The total number of pens in the pack is

30 packs × 15 pens

= 450 pens

He only manages to sell 3/5 of the pens

The amount of pens Charlie sells =

3/5 × 450 pens

= 270 pens

Charles sells each pen for 90p

100p = £1

90p = x

Cross Multiply

100 × x = 90 × £1

x = 90/100

x = £0.9

The amount he sells each pen =

1 pen = £0.9

270 pens = x

Cross Multiply

x = 270 pens × £0.9

x = £243

Step 3

The profit that he made is calculated as:

£243 - £84

= £159

8 0
3 years ago
What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x^3, the x-axis, and t
son4ous [18]

Answer:

The first thing we need to do is to find the area bounded by:

y = x^3

y = 0

between:

x = 0 and x = 2

This is the integral of the given function between x = 0 and x = 2, written as:

\int\limits^2_0 {x^3} \, dx = \frac{2^4}{4}  - \frac{0^4}{4} = 2^2 = 4

This means that the area of the bounded region is 4 square units.

Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.

The volume is:

V = (4 square units)*(2*pi units) = 8*pi cubic units.

(Notice that no option coincides with this, there may be a mistake in the options)

3 0
3 years ago
If you are 60 inches tall and you cast a 80 inch shadow, how long is a shadow of a building if the shadow is 120 inches?
marta [7]

Answer:

140 inches i think

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How many solutions are there to the equation below?
scZoUnD [109]
C is the answer

Its equal is 0
6 0
3 years ago
Chris placed an order for 30 chairs with the furniture store. He ordered metal chairs at $25 each and plastic chairs at $10 each
labwork [276]

Answer:

10 metal and 20 plastic

Step-by-step explanation:

10 x 25 is 250, 20 x 10 is 200 and 250 + 200 is 450

6 0
3 years ago
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