Tim spends 500 minutes at the school.
Step-by-step explanation:
Given,
Time for lunch = 45 minutes
Time for study hall = 45 minutes
Total = 45+45 = 90 minutes
This represents 18% of the total minutes Tim spend at school.
Let,
x be the total minutes Tim spend at school.
18% of x = 90 minutes
Dividing both sides by 0.18
Tim spends 500 minutes at the school.
Keywords: percentage, division
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Answer:
He would need 6 red roses and 9 pink daisies to make 3 bouquets.
Step-by-step explanation:
10 red roses and 15 pink daisies are needed for 5 bouquets. This means he would need 10/5 = 2 red roses and 15/5 = 3 pink daisies for 1 bouquet. This also means that he would need 2(3) = 6 red roses and 3(3) = 9 pink daisies for 3 bouquets.
Problem 11
<h3>Answer: h =
2A/b</h3>
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Explanation:
We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b
A = (1/2)*b*h
2A = b*h
b*h = 2A
h = 2A/b
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Problem 12
<h3>Answers:</h3>
- Equation: (n+2)/5 = 14
- Solution to that equation: n = 68
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Explanation:
The number n is increased by 2 to get n+2
Then we divide by 5 to get (n+2)/5
This is set equal to 14 to get the equation (n+2)/5 = 14
Solving the equation would look like this
(n+2)/5 = 14
n+2 = 5*14 .... multiply both sides by 5
n+2 = 70
n = 70-2 .... subtract 2 from both sides
n = 68
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Problem 13
<h3>Answer: Not a solution</h3>
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Explanation:
We'll replace every copy of x with -3 and simplify
-2x + 5 > 13
-2*(-3) + 5 > 13
6 + 5 > 13
11 > 13
The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.
Therefore, x = -3 is not a solution.
The answer is: " (y + 3) (y + 2) " .
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Or, write as: " (y + 2) (y + 3) " .
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Given: " y² + 5y + 6 " ;
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we see that:
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we have +5y and +6 ;
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so, the factors 6 that would add up to "5" would be:
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1, 6 = 7 ; no.
2, 3 = 5 ; yes!
3, 2 = 5 ; yes! (same as above).
6, 1 = 7 ; no (same as above).
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So, we have: (y + 3) (y + 2) = y² + 5y + 6 ;
Or ; (y + 2) (y + 3) = y² + 5y + 6 .
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