Answer:
1. If Adam burns 850 calories per hour
850×3=2550 calories for 3 hours
2. If the original price is 200$ and the discount is 30%
We get:
200 × 30
Which can be written as
200×0.3
=60
So 30% of 200 is 60
now to calculate the new price
200-60=140$
The new price is 140$
The volume of a rectangular prism is its length times width times height, or algebraically,
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. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute
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into the formula for volume. You get
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, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get
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. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule
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, if n is non-negative. The opposite applies so that
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. For your final answer, you write
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. This corresponds to
answer choice B.
You multiply .65 times 100 and you get 65 which is 65% of 100
2 lines parallel, and 2 triangles have a common angle
So the smaller Δ is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2
From 100 to 80 is 8/10, so the recursive formula is
an=a(n-1)*1/8
or
an= a1*1/8(n-1)
an=a1*(n-1)/8