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2 years ago

11

A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of One-fifth to be placed near a d

oor. What is the area of the reduced rug, in square feet?

1 answer:

11111nata11111 [884]2 years ago

3 0

You would do 12.5 x10 then divided it by 1/5

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One number is four times another number and their difference is 24. find the number.

Flura [38]

8 and 32.

8 times 4 = 32
32 - 8 = 24

4x - x = 24.
^ ^
1 2

3 0

2 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Liula [17]

Answer:

After 25 years the population will be:

Australia: 22271200
China: 1580220878
Mexico: 157380127
Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

P(t) = P₀eʳᵗ

t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.

P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.

P₀ is the initial population at P(0)
r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

<u>Australia:</u>

$P(t)=(19169000)e^{(0.006)t}$

after 25 years

$P(25)=(19169000)e^{(0.006)(25)}=22271200.6$

<u>China:</u>

$P(t) = (1261832000)e^{(.009)t}$

after 25 years:

$P(25)=(1261832000)e^{(.009)(25)}=1580220878$

<u>Mexico:</u>

$P(t) = (100350000)e^{(0.018)t}$

after 25 years:

$P(25)=(100350000)e^{(0.018)(25)}=157380127.8$

<u>Zaire:</u>

$P(t) = (51965000)e^{(0.031)t}$

after 25 years:

$P(25)=(51965000)e^{(0.031)(25)}=112794819.9$

6 0

3 years ago

Help! I have no idea!

qwelly [4]

I believe is C and D because

C. The original rectangle width is 2m and the length is 4m. And to make the other rectangle they are adding .5 m to both the width and length

D. The original rectangle has a width of 2m and length of 4m. To make the other rectangle they are substracting 1 m from the width and length

5 0

2 years ago

How many solutions does 9 - 5x = 8 - 3x - 1 -2x have?

Burka [1]

Answer:

D) Zero solutions

Step-by-step explanation:

9 - 5x = 8 - 3x - 1 - 2x

9 - 5x = 7 - 5x

9 = 7

Zero solutions

7 0

2 years ago

Answer please !<br> both questions 7 and 8

Elodia [21]

Answer:

7) p=80

8)z= 19.2

Step-by-step explanation:

7th problem)

0.1p=8

p * $10^{-1}$ =8

$\frac{p}{10}$ =8

p=80

8th problem)

$\frac{z}{2.4}$ =8

z=8*2.4

z=19.2

3 0

2 years ago