Answer:
I do not agree with Scott.
Step-by-step explanation:
22% *of* 160 --- meaning 22% times 160 --- is 35.2 so it's in fact approximately 35.
Answer:
Try to look for the pattern.
As you can see on the first column, the last three numbers line up by +3 (12 to 15 to 18). Proof - 12 + 3 = 15 + 3 = 18.
So you go back by subtracting 3. 12 - 3 = 9 - 3 = 6 - 3 = 3
For the other column, the pattern is +17. Proof - 51 - 34 = 17, 102 - 85 = 17.
So do the same thing as in the first column.
Results:
3 17
6 34
9 51
12 68
15 85
18 102
Answer:Scott is over 3 times older that Kate
Step-by-step explanation:
Kate is 3 years old. Her brother, Scott is 10 years old.
A) The ratio of Scott's age to Kate's age would be Scott's age divided by Kate's age. It becomes
10/3
B) To determine how many times older than Kate is Scott, we would express the ratio of their ages in decimal. Therefore
10/3 = 3.33
Therefore, Scott is over 3 times older that Kate
Answer:
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Step-by-step explanation:
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We try to represent each number inside the square root as a product of a square and another number.
a) 7√32 - 5√2 + √8
√32 = √(16 *2) = √16 * √2 = 4* √2 = 4√2
√8 = √(4 *2) = √4 * √2 = 2* √2 = 2√2
7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
= 28√2 - 5√2 + 2√2 Factorize out √2
= (28 - 5 + 2)√2
= 25√2
b) 2√150 - 4√54 + 6√24
√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6
√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6
√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6
2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)
= 2*5√6 - 4*3√6 + 6*2√6
= 10√6 - 12√6 + 12√6 Factorize √6
= (10 - 12 + 12)√6
= 10√6