Answer:
452.16 square yards
Step-by-step explanation:
The equation for the SA of a sphere is A=4πr2
Substituting r = 6 yards : A= 4 * 3.14 * 6^2 = 452.16 square yards
Answer:
-78
Step-by-step explanation:
4 Months is -312 so dividing by 4 will give the decrease of one month:
-312 ÷ 4 = -78
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
Answer:
a=3x+b/4-x
Step-by-step explanation:
I dont know which variable you're supposed to solve for. But here's how i got the answer above:
Divide each term in a(4-x)=3x+b by 4-x
a(4-x)/4-x=3x/4-x+b/4-x
Then, cancel the common factor of 4-x, giving you
a=3x/4-x+b/4-x
Finally, combine the numerators over the common denominator,
giving you a=3x+b/4-x
1 pound = 16 oz
Her books weigh 9 pounds or (9)(16)= 144 oz
Math Textbook= 40 oz
Biology textbook= 3 pounds or (3)(16)= 48 oz
Total weight of books - math textbook - biology textbook = science textbook
144-40-48 = 56oz
science textbook = 56oz
