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Amiraneli [1.4K]
2 years ago
9

Is x=12 a solution to the given inequality x > 5

Mathematics
1 answer:
Ludmilka [50]2 years ago
4 0

Answer: True

Step-by-step explanation:

Substitute 12 for x in the inequality

x > 5

12 > 5

12 is greater than 5 so x = 12 is a solution to x > 5

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Which integer is 3 less then -7<br>​
Dominik [7]

Answer:

-10

Step-by-step explanation:

you did not have to come on here for this annswer could have subtracted -7-3=-10

4 0
4 years ago
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Sarah is building a 10-foot-long pen for her pet rabbits. She wants to make gravel bases for two circular food containers
TEA [102]

Answer:

y ≥ 4x

y ≤ 8.75 –1/2πx^2

Step-by-step explanation:

Because the diameters of the gravel bases added together cannot exceed the width of the pen, we get the inequality 2x + 2x ≤ y . Rewriting, we get y ≥ 4x as the first inequality in the system.

Next, write an inequality for cost.

To write the expression for the cost of the fencing, find the perimeter of the rectangle, and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2(10) + 2(y), or 20 + 2y. Multiply the cost of the fencing material ($4.00 per foot) by the perimeter of the fence to get 4(20 + 2y).

Now, write an expression for the gravel bases for the circular food containers. Because A = r2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2(x2) + 2(x2).

The total cost must be less than or equal to $150. So, we can say that 4(20 + 2y) + 2(x2) + 2(x2) ≤ 150. After simplifying and solving for y: y ≤ 8.75 – x2.

So, this is the system:

y ≥ 4x

y ≤ 8.75 –1/2πx^2

7 0
3 years ago
Combine like terms to create an equivalent expression.<br> تا است
HACTEHA [7]

Answer:

Step-by-step explanation:

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5 0
4 years ago
Can someone check my answers it’s about writing proofs and it’s just full in the blanks.
Darina [25.2K]
It seems correct to me- i don’t see anything wrong so far
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2 years ago
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How would get the area?
yuradex [85]

Answer:

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Step-by-step explanation:

Formula: length x width

First, you must substitute in the numbers.

16-2x*10 < 60

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Next, substract 160 from both sides.

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Now, divide -20 from both sides.

x < 5

This isn't the answer yet because you have to flip the sign because you divided by a negative.

x > 5

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3 years ago
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