Please help! Grade 7 math

For every 5 pages in a book Fred reads, Lonnie reads 4 pages. In 1 hour, they read a combined total of 36 pages. How many pages

nydimaria [60]

Answer:

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

Step-by-step explanation:

The table that can be formed by the rate at which they study the number of pages of a book is:

Fred Lonnie total

5 4 9

10 8 18

15 12 27

20 16 36

That means when they read a combined of 36 pages.

Then the number of pages read by Fred is 20 pages.

and the number of pages read by Lonnie is 16 pages.

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Also it could be done as :

Let Fred reads 'x' pages.

so, the number of pages read by Lonnie is: (4/5)x

Hence,

x+(4/5)x=36

on solving this linear equation we have:

x=20

and (4/5)x=16

)

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

3 0

3 years ago

Find the volume of the following compound shape.

Bess [88]

<h3>Given:</h3>

Cone
Cylinder

<h3>Volume of the cone:</h3>

$v = \frac{1}{3} \pi {r}^{2} h$

$v = \frac{1}{3} \times \pi \times {10}^{2} \times 10$

$v = 1047.20 \: {cm}^{3}$

<h3>Volume of the cylinder:</h3>

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

$v = \pi \times {10}^{2} \times 10$

$v = 3141.59 \: {cm}^{3}$

<h3>Total volume:</h3>

$v = 1047.20 + 3141.59$

$v = 4188.79 \: {cm}^{3}$

Hence, the volume of the given cone shape is 4188.79 cubic centimeters.

5 0

1 year ago

Read 2 more answers

This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =

wel

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

4 0

3 years ago

Read 2 more answers

In a particular country, there are two types of currency: Kabuls and Carumpts. 8 Kabuls and 2 Carumpts are worth $61.70. 3 Kabul

Misha Larkins [42]

Answer:

Kabuls = 7.5

Carumpts= 0.85

Step-by-step explanation:

Let x represent the price of kabuls

Let y represent the price of carumpts

8x + 2y= 61.70......equation 1

3x + 10y= 31.........equation 2

Multiply equation 1 by 3 and equation 2 by 8

24x + 6y= 185.1

24x + 80y= 248

-74y = -62.9

y= 62.9/74

y= 0.85

Substitute 0.85 for y in equation 1

8x + 2(0.85) = 61.70

8x + 1.7= 61.70

8x = 61.70-1.7

8x = 60

x= 60/8

x= 7.5

Hence the dollar value for kabuls is 7.5 and carumpts is 0.85

3 0

2 years ago

Please Help

leonid [27]

The answer is D because microcosm is a community displaying characteristics of something larger.

4 0

3 years ago