Answer: The possible side lengths are either 16 inches or 20 inches
Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.
If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;
Volume = L x W x H
Knowing that all three dimensions are the same the formula can be re-written as;
Volume = L³
4096 = L³
Add the cube root sign to both sides of the equation
∛4096 = ∛L³
16 = L
Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;
Volume = L³
8000 = L³
Add the cube root sign to both sides of the equation
∛8000 = ∛L³
20 = L
Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches
According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.
x is 3/2. Replace this value in both expression to find the measure of each angle.
The measure of these angles is 47°
Answer:
b = 40 - p
42b + 52p = 350
Step-by-step explanation:
Given : No. of small blue pom-pom boxes = b
No. of large orange pom-poms = p
cost of 1 box of blue pom pom = $42
cost of one large orange pom-pom box = $52
Solution:
Since we are given that the company has only 40 boxes
⇒b+p=40
⇒b=40-p
Since cost of 1 box of blue pom pom = $42
So, cost of b box of blue pom pom = $42b
Since,cost of one large orange pom-pom box = $52
So,cost of p large orange pom-pom box = $52p
We are also given that the company plan to make $350
⇒42b+52p=350
Hence Option b is correct
b = 40 - p
42b + 52p = 350
Answer:
x=5,y=-2
Step-by-step explanation:
