Hello there! To solve for the total box office receipts, we can write and solve a proportion. Set it up like this:
270/x = 7.5/100
We do that, because we are looking for the total and 270 is the part of the whole. 270 makes up 7.5% of the box office receipts.
Now, we cross multiply. 270 * 100 is 27,000. 7.5 * x is 7.5x. Divideeach side by 7.5 to isolate the "x". 7.5x/7.5 cancels out the "x". 27,000/7.5 is 3,600. There. x = 3,600. The total box office receipts are $3,600.
Answer:
Solution: { -29/3 , -10/3 }
Step-by-step explanation:
2y = x + 3 ---------> equ 1
5y = x - 7 equ 2
equ 1 - equ s ====> -3y = 10
y = -10/3
Put y = -10/3 in equ 1
2 * (-10/3) = x + 3
-20/3 = x + 3
(-20/3) - 3 = x
(-20/3) - (9/3) = x
(-20 - 9) / 3 =x
x = -29/3
Solution: { -29/3 , -10/3 }
Think of it like this: imagine a frog on some lily pads and if it hops left it gets smaller(negative) and if it hops right it gets bigger(positive) ,(but think of it like numbers) so -14-5 think about the -14 being way down at the left and then you add on the (-5) since the number you are adding is negative it is getting smaller (going farther away from the zero, not closer) so when you add a negative to a negative number you get smaller instead of bigger. Hope that helps
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
Answer:
WRS=25 degree
Step-by-step explanation:
Angle VRT + angle TRS = 180 degree (supplementary angles)
5x+25x+30=180
5x+25x=180-30
30x=150
x=150/30=5
Substituting x=5 into angle VRT
5(5)=25
VRT= 25 degree
Looking at the diagram, angle VRT and angle WRS are vertically opposite angle and are therefore equal.
Now, angle WRS= 25 degree
