Answer:
8 pounds of apples.
Step-by-step explanation:
5 pies need 2 pounds of apples.
so 1 pie needs 2/5 pounds
- and 20 pies needs 20 * 2/5
= 40/5
= 8 pounds of apples.
Answer:
B.) 54π units²
Step-by-step explanation:
First, we need to find the height of the cone. We can do this using the Pythagreom Theorem.
a² + b² = c² <----- Pythagreom Theorem
3² + b² = 15² <----- Insert side lengths
9 + b² = 225 <----- Solve 3² and 15²
b² = 216 <----- Subtract 9 from both sides
b = 14.7 units <---- Take square root of 216
Now, we can use the surface area of a right cone equation to find the final answer.
r = 3 units
h = 14.7 units
SA = πr(r + √(h² + r²)) <----- Surface Area equation
SA = π(3)(3 + √(14.7² + 3²)) <----- Insert values
SA = π(3)(3 + √(216 + 9)) <----- Solve 14.7² and 3²
SA = π(3)(3 + √225) <----- Add 216 and 9
SA = π(3)(3 + 15) <----- Take square root of 225
SA = π(3)(18) <----- Add 3 and 15
SA = 54π units² <----- Multiply 3 and 18
Answer:
Step-by-step explanation:
Make a system of equations
Give the hot and cold faucets variables
Set x to be the minutes it takes for the hot water faucet to fill up the tub and Set y to be the minutes it takes for the cold water faucet to fill up the tub
She first equation is x = 2y because the hot faucet takes <em>2 times</em> as much time as the cold water
The second equation is x + y = 5 because if you add the number of minutes each takes to fill a tub, it will add up to 5 minutes
Now you have the equations
x = 2y
x + y = 5
So you can plug the first equation in for x in the second one to make
2y + y = 5
which equals 3y = 5
Then you divide 3 from both sides to get
y = 
Since y is the number of minutes the cold water faucet takes to fill the tub, then the cold faucet takes
minutes for the cold water faucet to fill the tub itself
(-8)x=(-6)x+10
(-2)x=10
X=10/-2
X=-5