Answer:
12 bouquets
Step-by-step explanation:
Let there be x number of roses and x number of tulips initially at the store. Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.
If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.
After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:
x - 3y = 30 Equation 1
x - 4y = 18 Equation 2
Subtracting Equation 2 from Equation 1, we get:
x - 3y - (x - 4y) = 30 - 18
x - 3y - x + 4y = 12
y = 12
Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.
Answer:
A
Step-by-step explanation:
We would need to multiply the number of trials (which is 500) by the probability of choosing a red in 1 try from the information given.
<em>There are 50 in total, and 8 of them are red, so:</em>
P(red) = 
<em>Now we multiply this with 500 to get:</em>

The correct answer is A.
Answer:
C. 22 M
Step-by-step explanation:
Answer:
SA = 402.14 square inches
Step-by-step explanation:
Imagine you unroll the cylinder. You will be left with a rectangle and two "lids" (disks).
The rectangular area will be of dimension:
Ar = (height)*(circumference of the disk)
Ar = (12 in) * (8 in) *pi = 301.60 in^2
The area of one disk will be
Ad = pi*(radius^2) = pi*(4^2 in^2) = 50.27 in^2
So the total surface area will be
SA = Ar + 2* Ad = 402.14 in^2 (square inches)