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Jlenok [28]
3 years ago
15

Karen reads 20 pages of her book in half hour. If she reads for 3 hours at that same rate, about how many pages of her book can

Karen read?
Mathematics
2 answers:
GrogVix [38]3 years ago
8 0

Answer:


120 pagesStep-by-step explanation:

well we just need to multiply 180/30 because 60 by 3 and we are gonna be reading for 3 hours. so that is 6. then we multiply 20 by 6 which is 120

so she can read 120 pages

julsineya [31]3 years ago
4 0

Answer:

She can read 120 pages

Step-by-step explanation:

We can use ratios to solve

20 pages      x pages

--------------- = -----------

1/2 hour            3 hours


Using cross products

20 *3 = 1/2 x

Multiply by 2

20*3*2 = 1/2 *2 *x

120 = x

She can read 120 pages

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elena55 [62]
This system will have 1 solution, or C. That's because since the equations are different, meaning that there is 1 solution. 
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3 years ago
9.<br> What is the range of the function<br> f(x) = 3.3?
klemol [59]

Answer:

69

Step-by-step explanation:

6 0
3 years ago
Need help<br> Question in the screenshot below<br> NO spam<br> Please show your work
Alja [10]
<h3>Answer:   x = 6</h3>

======================================================

Work Shown:

\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\

x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\

Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out

x = 6 works as a solution however

3 0
3 years ago
A cuboid has a base of 12. 5 cm by 20 cm. holds exactly 1 litre of water. What is the height.​
nikitadnepr [17]

Answer:

4 cm

Step-by-step explanation:

V=L×W×H

V=1 litre = 1000 cm³

H= V/LW

1000/(12.5×20)=4

height= 4cm

6 0
3 years ago
Which situation represents a proportional relationship?
Natalka [10]

Answer:

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

The ratio between the two variables is a constant called constant of proportionality k

k=y/x

<u><em>Verify each case</em></u>

A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.

\frac{4}{12}=\frac{9}{25}

Multiply in cross

4(25)=9(12)\\100\neq108

Is not true

therefore

The situation not represent a proportional relationship

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

\frac{5}{25}=\frac{8}{40}

Multiply in cross

5(40)=8(25)\\200=200

Is true

therefore

The situation represent a proportional relationship

C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes

\frac{24}{6}=\frac{46}{9}

Multiply in cross

24(9)=46(6)\\216\neq276

Is not true

therefore

The situation not represent a proportional relationship

D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags

\frac{14}{2}=\frac{30}{4}

Multiply in cross

14(4)=30(2)\\56\neq60

Is not true

therefore

The situation not represent a proportional relationship

7 0
3 years ago
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