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Allushta [10]
3 years ago
15

A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 35 square feet. Find the

length of the rectangle.

Mathematics
2 answers:
Gwar [14]3 years ago
3 0
Basically, it is dividing the Area by the inputted value. So 7 x 5 is the only way, particular to be for this problem. So the width equals 5 and the length equals 7.

Adv: 35 divided by 5 equals 7 sq ft.
astra-53 [7]3 years ago
3 0

Answer:

Width = 5, Length = 7.

Step-by-step explanation:

Provided in Picture

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Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.​
elixir [45]

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) \sqrt{32} = 2^{\frac{5}{2} }

2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ =  \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}

Thus, the equation is TRUE.

(2) 16^{\frac{3}{8} } = 8^2

16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64

Thus, the equation is FALSE.

(3) 4^{\frac{1}{2} } = \sqrt[4]{64}

4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64}  = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2}  \times \sqrt{2}  \times \sqrt{2} ) = 2\sqrt{2}

Thus, the equation is FALSE.

(4) 2^8 = (\sqrt[3]{16} )^6

2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256

Thus, the equation is TRUE.

(5) (\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\

8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4

Thus, the equation is FALSE.

4 0
3 years ago
In order to finish the order on time the factory was supposed to produce 70 items daily. After hiring three more people they wer
maria [59]

Answer:

  40 days

Step-by-step explanation:

Let x represent the original production time. Then 70x is the order quantity involved.

When the same order quantity is produced at a rate of 80 items per day for x-5 days, we have the equation ...

  70x = 80(x -5)

  70x = 80x -400

  0 = 10x -400 . . . . . subtract 70x

  0 = x -40 . . . . . . . . divide by 10

  40 = x . . . . . . . . . . add 40

The original schedule was for production to take 40 days.

8 0
3 years ago
I need help with this question
laiz [17]

Answer:

Option B 1/64

Step-by-step explanation:

\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } } =4^{-11/3+2/3} =4^{-9/3} =4^{-3} =\frac{1}{4^{3} }=\frac{1}{64}

Hope this helps

5 0
2 years ago
Read 2 more answers
which set of steps shows the solution to the equation 2y = −8? y = −8 − 2; y = 6 y = −8 ÷ (−2); y = 4 y = −8 ÷ 2; y = −4 y = −8
xz_007 [3.2K]

Answer:  The correct option is

(C) y = −8 ÷ 2; y = −4.

Step-by-step explanation:  We are given to select the correct steps that shows the solution to the following equation :

2y=-8~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the solution to the equation ax=b,~~\textup{a,b are real numbers} is given by

ax=b\\\\\Rightarrow x=b\div a.

Therefore, the solution of equation (i) is as follows :

2y=-8\\\\\Rightarrow y=-8\div 2\\\\\Rightarrow y=\dfrac{-8}{2}\\\\\Rightarrow y=-4.

Thus, (C) is the correct option.

6 0
3 years ago
Which of the points does NOT satisfy the inequality shaded in the diagram?
strojnjashka [21]
The answer i got was A (4,0)
5 0
3 years ago
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