Answer:
33 math problems
Step-by-step explanation:
Let's set a few variables:
Number of math problems = m
Number of history problems = h
We know that in total, we have 42 problems.
m + h = 42
We also know that our math homework has 6 problems more than 3 times the number of history problems.
m = 3*h + 6
So m is 3 times h, plus 6.
m + h = 42
We can subtract h from both sides of this equation.
m = 42 - h
Now we can put this value for m, 42-h, into our other equation.
m = 3*h + 6
42 - h = 3*h + 6
Subtracting 6 from both sideS:
36 - h = 3*h
Adding h to both sides:
36 = 3*h + h
36 = 4*h
Dividing both sides by 4:
9 = h
h = 9
We know that the number of math problems is the following:
m = 42 - h
Let's put the value for h, 9, into this equation:
m = 42 - 9
m = 33
Answer: 33 math problems
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
<em>To solve these questions, we do the following:</em>
<em>Whatever is being applied to a part of the ratio must be done on the other part</em>
<em></em>
Solving (9):
Multiply through by 2
Multiply through by 3
Multiply through by 5
<em>Hence, the equivalents are: </em>
<em></em>
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
Multiply by 3
Multiply by 4
<em>Hence, the equivalents are: </em><em>3 to 7, 4.5 to 10.5 and 6 to 14</em>
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
Multiply by 2
Multiply by 4
<em>Hence, the equivalents are: </em><em>1.25 to 0.25, 12.5 to 2.5 and 25 to 5</em>
Solving (12):
Multiply by 2
Multiply by 4
Multiply by 6
<em>Hence, the equivalents are: 6:7, 12:14 and 18:21</em>
Solving (13)
Convert mixed fraction to improper fraction
Multiply by 2
Multiply by 3
Multiply by 12
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
Answer:
9 feet
Step-by-step explanation:
Area of a parallelogram = base times height
Thus, 54 = 6h
where h = height
* divide each side by 6 *
54 / 6 = 9
6h / 6 = h
h = 9
Thus, the answer is A
Lets call your age x and your sisters would be x +2
x + x + 2 = 32
combine like terms
2x + 2 = 32
32 - 2 = 2x
32 - 2 = 30
2x = 30
x = 15
Your age is 15 and your sisters is 17
<span>Hope This Helps You!
</span>Good Luck Studying :)
