MATHEMATICS MIDDLE SCHOOL

Ellie and heather drew floor models of their living rooms. Ellie's model represented 20 feet by 15 feet. Heathers model represented 18 feet by 18 feet. Whose floor model represents the greater area? How much greater?

Answers

Answer 1
Answer:

Answer:

Heather's model has greater area by 24 sq.ft.

Step-by-step explanation:

Given : Ellie's model represented 20 feet by 15 feet.

           Heather's model represented 18 feet by 18 feet.

To Find: Whose floor model represents the greater area? How much greater?

Solution:

Length of Ellie's model = 20 feet

Width of Ellie's model = 15 feet

Area = Length * Breadth

       = 20*15

       = 300ft^2

Length of Heather's model = 18 feet

Width of Heather's model = 18 feet

Area = Length * Breadth

       = 18*18

       = 324ft^2

Thus Heather's model has greater area by (324-300)= 24 sq.ft.
Answer 2
Answer: Heather's model is 324 square feet and Ellie's is 300 square feet. Therefore Heathers models is 24 square feet more than Ellie's model.

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If f(x) = 1x1 + 9 and g(x) = -6, which describes the value of (f + g)(x)?(f + g)(x) > 3 for all values of x
(f + g)(x) < 3 for all values of x
(f + g)(x) < 6 for all values of x
(f + g)(x) 6 for all values of x
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Answers

Answer:

The answers are "(f+g)(x)> 3 for all values of x" and "(f+g)(x)<6 for all values of x".

Step-by-step explanation:

  • If f(x) = 1x1 + 9 =10, then f(x) is a constant for every value of x, which means that y=f(x) will take the value of 10 no matter which value takes x.
  • If g(x)= -6, then  g(x) is a constant for every value of x, which means that it will take the value of -6 no matter the value of x.
  • (f+g)(x)=10 + (-6) = 10 - 6= 4. Then, no matter the value of x, the function (f+g)(x) will equal 4 (a constant).
  • According to the available options, both "(f+g)(x)>3" and "(f+g)(x)<6" are true, because (f+g)(x)=4>3 and (f+g)(x)=4 <6.

Find the volume of a rectangular prism with a length of x + 9, a width of x – 7, and a height of x – 1. What is its volume expressed as a polynomial? please hurry

Answers

I believe the answer is x^3+x^2-65x+63

Which expression is equivalent to 3.5x+1.5x+2-1/2

Answers

The most simplified version would be:
5x+1.5

72 is 40% of what number?

Answers

All you have to do to find what number a certain number is a certain percentage of is to divide the known number by the percentage that it is reduced by.
To do this, we must first convert the percentage into a decimal. To do this, we can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.

40% = 0.4

Now, we divide the known by the percentage/decimal.

72 / 0.4 = 180

72 is 40% of 180.
Hope that helped! =)

On the first day of the play the auditorium was 1/3 full, on the second day it was it was 5/12 full, and on the third day it was 1/2 full. if this pattern continues, how full will it be on the fourth day?

Answers

Answer:

\bf\textbf{Part of auditorium filled on fourth day = }(7)/(12)

Step-by-step explanation:

\text{Part of the auditorium filled on first day = }(1)/(3)\n\n\text{Part of the auditorium filled on second day = }(5)/(12)\n\n\text{Increase in the part of auditorium filled on second day than first day = }(5)/(12)-(1)/(3)\n\n=(5-4)/(12)\n\n=(1)/(12)

\text{Part of the auditorium filled on third day = }(1)/(2)\n\n\text{Increase in the part of auditorium filled on third day than second day = }(1)/(2)-(5)/(12)\n\n=(6-5)/(12)\n\n=(1)/(12)

\text{Hence, each day the auditorium is filled }(1)/(12)\text{ part more}\n\n\bf\textbf{So, Part of auditorium filled on fourth day = }(1)/(2)+(1)/(12)\n\n(6+1)/(12)\n\n=(7)/(12)
7/12.

If you make  1/3, 5/12, and 1/2 the same denominator, it will be:
                     4/12,5/12,and 6/12.

you can see that these fractions are increasing 1/12 for each day. so on the forth day, it will be 7/12.
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