Awww man the other person answered before me :(
Answer:
10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Step-by-step explanation:
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.
Solution:
Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.
Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:
5x + 3y = 95 (1)
Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:
8x + 6y = 170 (2)
Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:
2x = 20
x = 10
Substitute x = 10 in equation (1):
5(10) + 3y = 95
50 + 3y = 95
3y = 45
y = 15
Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Answer:
1.4650 (the first option in the list of possible answers)
Step-by-step explanation:
Start by isolating the exponential expression on one side of the equal sign, thus subtracting 2 from both sides:
Now, in order to solve for "x", we need to lower the exponent, and for that purpose we use logarithm base "3":
In order to find this logarithm, we use the change of base formula:
which rounded to four decimals gives: 1.4650
Answer:
The surface area of the cylinder is 326.56yd²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 4yd
π = 3.14
a = π * r²
we replace with the known values
a = π * (4yd)²
a = π * 16yd²
a = 50.24yd²
The area of the circle is 50.24yd²
To calculate the lateral area of the cylinder we use the following formula
a = area
h = heighti = 9yd
r = radius = 4yd
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 4yd * 9yd
a = 6.28 * 36yd²
a = 226.08yd²
The lateral area of the cylinder is 226.08yd²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
226.08yd² + (2 * 50.24yd² ) = 326.56yd²
The surface area of the cylinder is 326.56yd²
Answer:
Step-by-step explanation: