Answer:
if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract
Step-by-step explanation:
10 devided by 2 1/2= 4
and 1/2 multiplied by 4 is 6
Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by ![4/3 \pi r^3](https://tex.z-dn.net/?f=4%2F3%20%5Cpi%20r%5E3)
surface area of sphere is given by ![4 \pi r^2](https://tex.z-dn.net/?f=4%20%5Cpi%20r%5E2)
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,
![4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3](https://tex.z-dn.net/?f=4%2F3%20%5Cpi%20r%5E3%20%3D%204%20%5Cpi%20r%5E2%5C%5C%5C%5C4%2F3%20%5Cpi%20r%5E3%2F%204%20%5Cpi%20r%5E2%20%3D%201%5C%5C%3D%3Er%2F3%20%3D%201%5C%5C%3D%3E%20r%20%3D%203)
Thus, radius of sphere is 3 units.
Answer:
20ft
Step-by-step explanation:
Answer:
(f + g)(x) = 3x² + (7/3)x - 8
Step-by-step explanation:
To find (f + g)(x), you need to add both the f(x) and g(x) equations together.
f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2
g(x) = 3x² + 2x - 6
(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6) <----- Add both equations
(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6 <----- Rearrange (2 = 6/3)
(f + g)(x) = 3x² + (7/3)x - 8 <----- Simplify similar terms
Answer:
b. 4 inches by 3inches.
Step-by-step explanation:
Length on the paper = 100/25 = 4 inches
Width on the paper = 75/25 = 3 inches.