Answer:
- Tadeo: 12 hours
- Dylan: 2 hours
Step-by-step explanation:
We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...
d +6d = 14
7d = 14 . . . . . . collect terms
d = 2 . . . . . . . divide by the coefficient of d
6d = 6(2) = 12
Tadeo volunteered 12 hours; Dylan volunteered 2 hours.
Length of Side: 8.5
Perimeter of square: 34
Answer:
Step-by-step explanation:
check the attached files below
Answer:
15 figures
Step-by-step explanation:
To know with this, and knowing that each dimension is 10% longer, let's do a simple example assuming some random values.
Let's suppose that you have cylinder with a radius of 3 cm and height of 5 cm. The volume of this cylinder is:
V = π*(3)^2*5 = 45π cm^3
Now, if we raise the dimensions by 10%, the radius and height will be 3.3 and 5.5 respectively so, the new volume (V2) will be:
V2 = π*(3.3)^2*5.5 = 59.9π cm^3
So the ratio of both volumes is:
59.9π/45π = 1.331
This means that each new solid would have 1.331 times the volume of the original solid. Therefore, we can stablish a relation between the original figures and the new ones calling "x" the number of new figures so:
20 = 1.331x
solving for x:
x = 20/1.331
x = 15.03
You can round this to 15.
Answer:
21 ounces of flour
Step-by-step explanation:
10/3 = 70/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*10/3=70
try to isolate x and multiply by 3 to get rid of the denominator
x*10=70*3
x*10= 210
finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it
x= 210/10
x=21
you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps