Find the common multiples of 3 and 4:
3: 3, 6, 9 12, 15
4: 4, 8, 12, 16
The smallest common multiple for both 3 and 4 is 12, so this means every 12 days they would run together.
Add 12 days to February 4th to get February 16th.
Write and solve an equation of ratios:
900 students 45 teachers
------------------ = -----------------
x 110 teachers
Cross multiplying, we get (900)(110) / 45, or
so x = # of students in the high school = 2200 (answer)
Hi! I'm happy to help!
To first solve this, we need to make those mixed numbers improper fractions.
To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.
÷(−1
)
Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.
÷(−
)
From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.
×(−
)
Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)
-
<u>Since we cannot simplify, our final answer is -63/20.</u>
I hope this was helpful, keep learning! :D
Answer:
Step-by-step explanation:
Total fruits T= 5+7 = 12
No. Of apple n(A) = 5
No. Of peaches n(P) = 7
P(A) 1st = n(A)/T = 5/12
P(P) 2nd = n(p)/(T-1) = 7/11
: P(A and P) = 5/12 × 7/11
= 35/132
Answer:
98 nickles and 128 pennies
Step-by-step explanation:
You probably can't read my hand writing but I spent like, 15 minutes on this. This is the correct answer, but I don't know how to explain how it is but I promise it is!