x-2y = -2
x-2(-3x+8)=-2
mutiply the bracket by -2
(-2)(-3x)=6x
(-2)(8)=-16
x+6x-16=-2
7x-16=-2
move -16 to the other side
sign changes from -16 to +16
7x-16+16=-2+16
7x= -2+16
7x= 14
divide both sides by 7
7x/7=14/7
x=2
Find y by using the substitution method
y=-3x+8
y=-3(2)+8
-6+8
=2
Answer:(2,2)
Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Answer:
I am assuming you are asking for what percent correct she got. She got 46% correct.
Step-by-step explanation:
You divide the answers correct by the total questions. She got 69 out of 150, so dividing that is .46
To turn a decimal into a percentage, just move the decimal two places to the right, thus getting 46 %
If I assumed what you were asking incorrectly, let me know and I'll be happy to help!
Answer:
Callie needs to hide both her and her brother's candy from him so that none is eaten/stolen. Then count each stash separately. Put the candies in groups of 10 to quickly establish that over 70 pieces were collected. Callie should steal a stack from her brother's pile while he's not looking. Just calmly shift one stack of ten candies to her side. She should announce she got 47 pieces and her brother only 32.
Step-by-step explanation:
$0.10 since you divide the price by the fluid ounce. (1.19/12=0.991...)
