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3 years ago

A basket holds at most 14 pounds of apples and oranges

Mathematics

2 answers:

Korvikt [17]3 years ago

8 0

The correct answer is letter A, (4,3). Because this is the only point that satisfies both inequalities.

Helen [10]3 years ago

7 0

A.

B and C are wrong because x is more than or equal to 3.

D is wrong because y is the weight of oranges and cannot be negative.

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Please help me answer 16 please

amm1812

Answer:

SSS

Step-by-step explanation:

I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.

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3 years ago

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

3 0

3 years ago

Which of the following is equivalent to x 3/7

dem82 [27]

I believe it would be b.
explanation: use this rule: (x^a)^b = x^ab

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3 years ago

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The ____ of ____ property allows you to rewrite . xa· xb as xa + b.

gregori [183]

The rule of distributive property allows you to rewrite xa + xb as x (a + b).

So if x = 2, a = 3 and b = 4, xa + xb = x(a + b)
(2 * 3) + (2 * 4) = 2 (3 + 4)
6 + 8 = 14
14 = 14
...and so on. You may try it yourself with different variations.

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

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3 years ago

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I need help on this.

valentinak56 [21]

Answer: True

The opposite sides of a parallelogram are congruent or equal in length. The opposite sides are also parallel. It might help to think of a rectangle, which is a special case of a parallelogram.

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