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natta225 [31]
2 years ago
5

Naomi has earned $54 mowing lawns the past two days. she worked 2 1/2 hours yesterday and 4 1/4 hours today. if naomi is paid th

e same amount for every hour she works, how much does she earn per hour to mow lawns?
Mathematics
1 answer:
alukav5142 [94]2 years ago
7 0
She earns about 7.71
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An equivalent expression with a rational denominator is...
Whitepunk [10]

Given the expression,

(8x-56x^2)/(\sqrt{14x-2})

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]

If we have (\sqrt{a})(\sqrt{a}), we will get \sqrt{a^2} by multiplying them. And \sqrt{a^2} = a.

So here in the problem, we will get,

[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)

Now in the numerator we have (8x-56x^2). We can check 8x is common there. we will take out -8x from it, we will get,

-8x(-1+7x)

-8x(7x-1)

And in the denominator we have 14x-2. We can check 2 is common there. If we take out 2 from it we will get,

2(7x-1)

So we can write the expression as

[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]

(7x-1) is common to the numerator and denominator both, if we cancel it we will get,

(-8x)(\sqrt{14x-2})/2

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

(-4x)(\sqrt{14x-2})

(-4x)(14x-2)^(1/2)

So we have got the required answer here.

The correct option is the last one.

4 0
3 years ago
Annie wants to place the letter A on the number line at 3/4 does she place a in the right place
saw5 [17]
I need 2 see the number line 2 know....
3 0
3 years ago
What is the following expression when simplified 5x + 8(5 + 2x)?
denpristay [2]

Answer:

5x+56

Step-by-step explanation:

5x+8(5+2)

5x+8(7)

6 0
3 years ago
Read 2 more answers
Can someone help with me
umka21 [38]

Answer:

yes your answer is 45 degree

8 0
2 years ago
Read 2 more answers
Miss Wilton is planning a rectangular flower box for her front window she wants the flower box to hold exactly 16 cubic feet of
Sav [38]

Answer:

Three rectangular boxes having bases 4 cubic feet, 3 cubic feet and 2 cubic feet respectively will be required to hold 16 cubic feet of soil.

The dimensions of the three rectangular boxes will be 4 \times 1 \times 2, 3 \times 1 \times 2, and 2 \times 1 \times 1.

Step-by-step explanation:

The total soil to be held is 16 cubic feet.

The volume of a rectangular box is given by the product, lbh, where l is the length, b is the base and h is the height.

16 cubic feet of volume can be divided into two different volumes having values 8 cubic feet, 6 cubic feet and 2 cubic feet, to get two set of dimensions having different bases.

To get the first value of volume, 8 cubic feet, the length, base and height can be 1 foot, 4 feet and 2 feet respectively.

To get the second value of volume, 6 cubic feet, the length, base and height can be 1 foot, 3 feet and 2 feet respectively.

To get the other value of volume, 2 cubic feet, the length, base and height can be 1 foot, 2 feet and 1 foot respectively.

Since, all the three boxes have to be rectangular in shape, the base has to be more than the other two dimensions to get the required volumes as explained above.

If the number of rectangular boxes are increased, the dimensions would not be whole numbers as per the requirement.

The above mentioned can be shown in calculations as given below.

Volume of the first rectangular box

= lbh

= 1 \times 4 \times 2

= 8

Thus, the volume of the first rectangular box is 8 cubic feet.

Volume of the second rectangular box

= lbh

= 1 \times 3 \times 2

= 6

Thus, the volume of the second rectangular box is 6 cubic feet.

Volume of the other rectangular box

= lbh

= 1 \times 2 \times 1

= 2

Thus, the volume of the third rectangular box is 2 cubic feet.

Total volume of both boxes

= 8 + 6 + 2

= 16 cubic feet

7 0
3 years ago
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