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butalik [34]
3 years ago
11

Which expressions are equivalent to 3 1/4 - (-1/2) select all that apply

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0
3 \dfrac{1}{4} - ( -  \dfrac{1}{2} ) =  3 \dfrac{1}{4} +  \dfrac{1}{2}  =  3 \dfrac{1}{4} +  \dfrac{2}{4}  =   3 \dfrac{3}{4}
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Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain
Blizzard [7]
No, it does not.

In general, surface area is the sum of the areas of each face of a prism.  In a rectangular prism, we have length, width, and height.  

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w.  This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h.  This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h.  This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
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If the surface area had been doubled, we would expect 
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No, it is not doubled.
4 0
3 years ago
Question 7 = 2 Points
anastassius [24]

Answer:

  • See below

Step-by-step explanation:

The budget is $600.

<u>Samantha spends the following amount:</u>

  • 399.95 + 3*7.01 + 34.06 = 455.04

Now, she plans to buy w outfits which cost $75.88 each.

<u>The inequality for this is:</u>

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<u>Solving this we get:</u>

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w = 1 is the only integer solution greater than zero

8 0
2 years ago
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SashulF [63]
V(t) = 2t^2 - 3t - 3

for an acceleration a(t),
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a(t) = 4t - 3

at t=2
a(2) = 8 - 3
a(2) = 5 feet/s^2

3 0
3 years ago
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dlinn [17]

8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}

6 0
3 years ago
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