Answer:
The box has a total volume of 36 cubic inches.
Step-by-step explanation:
The total volume of the box is given by the volume that is filled with books plus the volume that doesn't have any books in it. Therefore, in order to solve this problem we must sum the two volumes. We have:
total volume = volume with books + volume without books
total volume = 24 + 12
total volume = 36 cubic inches
The box has a total volume of 36 cubic inches.
22a+15c=228
a+c=11
a=11-c
22(11-c) + 15c = 228
242-22c + 15c = 228
-7c=-14
C = 2 (two children)
Remember how a + c = 11
a + 2 = 11
A= 9
9 adults, 2 children.
Answer: x = 12
Step-by-step explanation:
We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.
We know that:
cos(S) = adj cathetus/hipotenuse.
Then we have, for the triangle SRT.
Cos(S) = 9/SR.
for the big triangle, SQR, we have:
Cos(S) = SR/(9 + 16)
now we can find the quotient of those two equations and get:
cos(S)/cos(S) = 9/Sr*(9+16)/SR
SR^2 = 9*(25)
SR = 15.
Now with this side we can find the value of x.
We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:
9^2 + x^2 = 15^2
x = √(15^2 - 9^2) = 12
Answer:
here
Step-by-step explanation:
The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.
Answer:
64
Step-by-step explanation:
Given that,
Buddy painted (1/5) of the 320 nutcrackers.
We need to find how many nutcrackers did buddy paint. It can be calculated by finding (1/5) of 320.

Hence, he painted 64 nutcrackers.