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Illusion [34]
3 years ago
6

the length of a rectangle is 4 less than twice the width. the perimeter of the rectangle is 34 feet. find the length and width o

f the rectangle.
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer: The length is 10ft, the width is 7ft.


Step-by-step explanation:

Let L be the length

Let w be the width

The equation for the perimeter is:

2L+2w=34

We also know that L=2w-4

So we can insert L=2w-4 into 2L+2w=34

2(2w-4)+2w=34

4w-8+2w=34

6w=42

w=7

If the width is 7, we can insert it into 2L+2w=34 to find out the length

2L+14=34

2L=20

L=10

The width is 7 ft, the length is 10 ft.

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Evgesh-ka [11]

Answer:

a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)

b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)

Step-by-step explanation:

2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.

9 * 10^-4 = 9 * 1/10000 = 9/10000

To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.

So we do:

2.2/1000 * 10/10 = 22/10000

9/10000 + 22/10000 = 31/10000 = 0.0031.

The sum of the weights of the two in insects is 0.0031 grams.

To find how much heavier the fly is than the gnat we do:

22/10000 - 9/10000 = 13/10000 = 0.0013

The fly is 0.0013 grams heavier than the gnat.

7 0
3 years ago
Please help me ...........​
Basile [38]

Answer:

a

Step-by-step explanation:

the 5y and the negative one cancel each other out. add the rest together you end up with 5x=-15. and divide each side by 5. you'll end up with x=-3

6 0
3 years ago
Please Help with this question !!!
Morgarella [4.7K]
The correct answer is choice B.
4 0
3 years ago
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valentinak56 [21]

Answer:

Step-by-step explanation:

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4 0
3 years ago
Given that v = (5,-4, 4) and w = (9-2,7) , evaluate v • w.
yuradex [85]

Answer:

a

Step-by-step explanation:

Given

u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is

u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )

Then

v • w

= (5 × 9) + (- 4 × - 2) + (4 × 7)

= 45 + 8 + 28

= 81 → a

4 0
3 years ago
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