Answer: -5/12
Step-by-step explanation: Before multiplying two fractions together by multiplying across their numerators and multiplying across their denominators, you should always try to cross-cancel as your first step.
So in this problem, the 2 and 8 cross-cancel to 1 and 4.
Also, watch out for your signs. In this problem we have a negative times a positive so we know that our answer will be negative.
Now we can multiply across the numerators and across the denominators.
So we have 5 · 1 which is 5 and 4 · 3 which is 12.
So our answer is -5/12.
Be very careful with your signs!
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
Step-by-step explanation:
simplify the expression into like terms
so 5a-2b-3+2b-6a (add all a and b together)
this will make
-a-3
I know how to do the equivalent sorry :(
Number of outcomes of rolling a die = 6
Number of outcomes from the spinner = 8
First we have to draw the 6 leaves to represent the 6 outcomes of rolling the die. Next on each of these leaves 8 possible outcomes of the spinner will be drawn using leaves.
So 6 leaves are being divided into further 8 leaves.
Thus total number of leaves will be = 6 x 8 = 48 leaves
Therefore, the correct answer is option D
