Here are all of the answers:
1. yes, it is evenly divisible by 17 equally: 4,165 / 17 = 245
2. 194,610 / 26 = 7,485
3. 750 bananas divided equally by 50 students is 15 bananas per student:
750 / 50 = 15
4. 2400 / 15 = 160
5. 94,104 is not divisible by 12 evenly: 94,104 / 12 = 6,273.6
6. 44,237 / 31 = 1,427
7. 35 roses divided equally among 5 rows equals 7 roses per row: 35 / 5 = 7
8. 16,606 / 19 = 874
9. 83,525 is evenly divisible by 13: 83,525 / 13 = 6,425
10. $3,600 worth of toys divided by $18 per toy equals 200 toys: $3,600 / $18 = 200
Answer:
Width= 120 ft
Length= 285 ft
Step-by-step explanation:
W= width and (3w-75)= length since it's 75 less than 3 times the width
w+w+(3w-75)+(3w-75)=810
8w-150=810
8w=960
w=120
So the width is 120 ft
Then substitute the 120 in for w in the length
L= 3(120)-75
L=360-75
L=285
So the length is 285 ft
You can check because 120+120+285+285=810, and because 120×3-75=285!
Answer:
Supplementary angles
x = 31
Step-by-step explanation:
Since, (3x + 25)° and 2x° are straight line angles. Therefore they are supplementary angles
(3x + 25)° + 2x° =180°
(5x + 25)° = 180°
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 155/5
x = 31
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- 1/x² + 2/y =
- y/(x²y) + 2x²/(x²y) =
- (2x² + y)/(x²y)
<u>Simplify the denominator:</u>
- 5/x - 6/y² =
- 5y²/(xy²) - 6x/(xy²) =
- (5y² - 6x) / (xy²)
<u>Simplify the fraction:</u>
- (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
- (2x² + y)/(x²y) × xy² / (5y² - 6x) =
- y(2x² + y) / x(5y² - 6x)
