Knowing the volume of a 3-D shape is extremely when deciding what materials to use and how much of them to use. When you know the volume of the different designs is helpful when deciding which material costs less to use but still meets requirements. For example, if you were trying to decide what material to fill your product with, and say the volume of your product is 36^3. You narrow things down to two products, one costing $54 to fill the entire thing. The other costing $60. Because you have the volume, it will be easy to decide which is better based off of the price per square inch. If you didn't have the volume. You would have to make an estimate and potentially make a bad business decision.
Hope this helps! I apologize for my long response
Answer:
a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26
Step-by-step explanation:
a. What equation can you use to find the cost c of a sandwich
Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.
total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,
$12.54 = $ 1.65 + c/2 + c
b. What is the value of c
We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c
collecting like terms, we have
$12.54 - $ 1.65 = c/2 + c
$ 10.89 = 3c/2
multiplying through by 2, we have
$ 10.89 × 2 = 3c
$ 21.78 = 3c
dividing through by 3, we have
c = $ 21.78/3
= $ 7.26
The volume of the rectangular prism can be found with the formula
v= length × width × height
V = 10×10×30 = 3000
the volume of the triangular prism can be found with
v = 1/2(base×width×height)
v=1/2×30×9×10 = 1/2×2700
v = 1350
Now add the two volumes together for the total volume...
3000+1350 = 4,350 in^3
Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be 
and Rose's age will be 
"Ivy is half as old as her sister":
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have 
years, and Rose will have 
years, so for this sentence we have the equation:
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
Rose is 12 years old.
and Ivy (using the fist equation):
Ivy is 6 years old.
5*2=10
10+12*4.5=64cm^2
Hope it helps
