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Leto [7]
4 years ago
5

A rectangle has a length of 4x plus 5 and a width of 8x minus 4. Which expression shows the perimeter of that rectangle? A: 4x +

1 B: 12x - 2 C: 12x + 1 D: 24x + 2
Mathematics
1 answer:
mezya [45]4 years ago
6 0

Answer: The answer is (D) 24x+2.


Step-by-step explanation:  Given that there is a rectangle, where length of the rectangle is given by

\ell=4x+5,

and width of the rectangle is given by

b=8x-4.

We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.

Therefore, perimeter is given by

p=2\ell+2b=2\times(4x+5)+2\times(8x-1)=8x+10+16x-8=24x+2.

Thus, the correct option is (D).


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5 0
4 years ago
It is known that 1.4< square root of 2 <1.5. Find all possible values of the expression 2-square root of 2. How do I find
horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

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3 years ago
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It will take them 10 days to have the same amount of credits.

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The plans for a house are drawn at scale of 1/4 inch to 1 foot. If the bedroom is 10 feet wide, what is its width on the plan?
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Answer:

2.5 inches

Step-by-step explanation:

(1/4) x 10 = 2.5

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