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2 years ago

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the area of the hartstein's kitchen is 182 square feet. this is 20% of the area of the first floor of their house. let f represe

nt the area of the first floor. write an equation to represent the situation

1 answer:

Sav [38]2 years ago

4 0

F=182/.8 should be the correct equation to use in this problem since your trying to find the remaining 80% left of the floor

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The terms of the binomial expansion are written below using the patterns. (m + 2)4 = (1)(m4)(20) + (4)(m3)(21) + (6)(m2)(22) + (

lorasvet [3.4K]

Answer:

$(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16$

Step-by-step explanation:

$(m + 2)^4 = (1)(m^4)(2^0) + (4)(m^3)(2^1) + (6)(m^2)(2^2) + (4)(m^1)(2^3) + (1)(m^0)(2^4)$

2^0 is 1 also m^0 is 1

2^2= 4, 2^3= 8 , 2^4= 16

$(m + 2)^4 = (1)(m^4)(1)+ (4)(m^3)(2) + (6)(m^2)(4) + (4)(m^1)(8) + (1)(1)(16)$

$(m + 2)^4 = m^4+ 8 m^3 + 24 m^2 + 32 m + 16$

4 0

1 year ago

A photocopy machine can reduce copies to 80% of their original size. By copying an already reduced copy, further reductions can

alukav5142 [94]

<u>Part a)</u> if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?

Let

x---------> the percent enlargement

we know that

the original size is the 100%

so

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

therefore

<u>the answer Part a) is</u>

the percent enlargement is 125%

<u>Part b)</u> Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original

we know that

A photocopy machine can reduce copies to 80% of their original size

so

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

therefore

<u>the answer Part b) is</u>

the number of times in succession is 9

6 0

1 year ago

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st

EastWind [94]

<u>Answer:</u>

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

<u>Step-by-step explanation:</u>

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = $\frac{609}{58} = 10.5$

Checking for ratios of the given options:

A. $\frac{483}{42} =11.5$

B. $\frac{378}{28} =13.5$

C. $\frac{504}{48} =10.5$

D. $\frac{560}{56} =10$

E. $\frac{315}{30} =10.5$

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0

1 year ago

Read 2 more answers

Ravi is driving 440 miles to visit his grandma.

Nesterboy [21]

Answer:

You would use the formula: Rate = distance / time which equals 55

Since we are asked for the time it takes to reach 3/4 the destination.We just use 3/4 of the value of the distance.

55 = (3/4)(440) / t

t = 6 hours

So the answer would be "C"

8 0

1 year ago

There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using d

soldier1979 [14.2K]

I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.

3 0

1 year ago