Answer:
Yes.
Step-by-step explanation:
First, find the unit rate for 1 bookcase.
65 ÷ by 13 = 5 (unit rate)
Then, multiply the unit rate by the bookcases the carpenter wants to make.
6 · 5 = 30
Finally, subtract the shelves the carpenter wants to use by 30.
32 - 30 = 2 shelves.
Therefore, 32 shelves is enough to build 6 more bookcases. <3
Answer:
a) 37º
b) 143º
c) 2x - 5 = 143
Step-by-step explanation:
a) Angles 5 and 7 are vertical angles and therefore have the same measurements.
b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.
c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.
Answer: 81y^2
Step-by-step explanation: a^2-2ab+b^2=(a-b)^2 Plug values and solve.
B = hours babysitting
m = hours giving music lessons
so... whatever "b" and "m" are, their sum for that week was 18
thus
b + m = 18
now, money wise, she makes $5 for "b" and that is, she made 5*b or 5b that week
for "m", she makes $12, so for that week she made 12*m or 12m
whatever "b" and "m" are
thus
5b + 12m = 139
now

solve for "b", to see how many hours she spent babysitting