Answer:
(-29)/30
Step-by-step explanation:
Simplify the following:
-(2 + 4/5) + (1 + 5/6)
Put 2 + 4/5 over the common denominator 5. 2 + 4/5 = (5×2)/5 + 4/5:
-(5×2)/5 + 4/5 + 1 + 5/6
5×2 = 10:
-(10/5 + 4/5) + 1 + 5/6
10/5 + 4/5 = (10 + 4)/5:
-(10 + 4)/5 + 1 + 5/6
10 + 4 = 14:
-14/5 + 1 + 5/6
Put (-14)/5 + 1 + 5/6 over the common denominator 30. (-14)/5 + 1 + 5/6 = (6 (-14))/30 + 30/30 + (5×5)/30:
(6 (-14))/30 + 30/30 + (5×5)/30
6 (-14) = -84:
(-84)/30 + 30/30 + (5×5)/30
5×5 = 25:
(-84)/30 + 30/30 + 25/30
-84/30 + 30/30 + 25/30 = (-84 + 30 + 25)/30:
(-84 + 30 + 25)/30
| 3 | 0
+ | 2 | 5
| 5 | 5:
(55 - 84)/30
55 - 84 = -(84 - 55):
(-(84 - 55))/30
| 7 | 14
| 8 | 4
- | 5 | 5
| 2 | 9:
Answer: (-29)/30
I think it’s about 134.13 ft
to find the circle the formula is pi times the radius squared so:
12.5 x 12.5 = 156.25
156.25 x pi ≈ 490.8738 ft squared
to find the square it’s base x height so:
25 x 25 = 625
then to find the shaded part you just find the difference:
625 - 490.87 = 134.13 ft
Answer:
Part A: Profit = 400 + 70 s, Part B : $3900
Step-by-step explanation:
Part A:
We know that the expression is: 0.2 ( 2000 + 350 s ). Using the distributive property :
Profit = 0.2 · 2000 + 0.2 · 350 s = 400 + 70 s
Part B :
The company's yearly profit when: s = 50 ( the total number of students )
P ( 50 ) = 400 + 70 · 50 = 400 + 3500 = $3900
2l+2w=24
l=3+w
The first equation comes from the perimeter formula. Since it is a rectangle, there are two lengths and two widths, which must all be added to get the perimeter. The second equation shows that the length is equal to the width plus three. In order to solve this equation, the substitution method should be used, since the one equation is already set equal to one of the variables (L)
2l+2w=24
l=3+w
2(3+w)+2w=24
Use distributive property to get rid of the parentheses
2(3+w)+2w=24
2(3)+2(w)+2w=24
6+2w+2w=24
Simplify like terms on the left side of the equation
6+2w+2w=24
6+4w=24
Subtract six from each side so that all of the w's are on one side
6+4w-6=24-6
4w=18
Divide each side by four to find the value of one w
4w/4=18/4
w=4.5
Plug 4.5 into the one equation to find the value of l
l=3+4.5
l=7.5
Put the numbers into the first equation and simplify:
2(7.5)+2(4.5)=24
15+9=24
24=24
So the length would be 7.5 inches, and the width would be 4.5 inches
