Answer:
Step-by-step explanation:
What we have is a general equation that says this in words:
Laura's hours + Doug's hours = 250 total hours
Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:
x + x + 40 = 250 and
2x = 210 so
x = 105
Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!
Answer: 193.3125
Step-by-step explanation:
It deleted my entire explanation um-
Anyways, calculate the area of the rectangle, length x width (7 * 15) and the semicircle (i did pi times radius squared and halved it to get the semicircle)
Basically, 105 plus the semicircle is 193.
10.…….……......................
Answer: $3,400
Step-by-step explanation:
There are 400 seats in the auditorium which means that there are 400 tickets to be sold.
85% of these tickets are sold. The number of tickets sold is:
= 85% * 400
= 340 tickets were sold.
Each ticket sells for a total of $10.
The amount of money made from ticket sales is therefore:
= No. of tickets sold * price of ticket
= 340 * 10
= $3,400
Answer:
1245
Step-by-step explanation:
Distribute the number 3 to each of the numbers in the second set of parentheses. Be careful to remember to add zeros to the number depending on which place holder the number is in.
Demonstration:
3 × 400
3 x 10
3 x 5
After solving each equation, add the total
1200 + 30 + 15 = 1245
