To find f(-20), first figure out which piece x = -20 fits with.
Since -20 < -12, x = -20 first in the domain used by the third piece.
For f(-20), treat this function as if it was just f(x) = 3x-7.
f(-20) = 3(-20) -7
= -60 - 7
= -67
Answer:
Step-by-step explanation:
In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,
number of wax = volume of mold / volume of wax
The formulas are,
number of wax = (1/3)Ah / s³
Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,
number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21
Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)
Answer: 70
plz give brainliest
Step-by-step explanation:
Solution:
Since
96 : 160 = 42 : X
Then we know
160/96 = X/42
Multiplying both sides by 42 cancels on the right
42 × (160/96) = (X/42) × 42
42 × (160/96) = X
Then solving for X
X = 42 × (160/96)
X = 70
Therefore
96 : 160 = 42 : 70
Hello!
This is a question about ratios and relating them to multiples of the ratio.
We are given that a recipe for cooking rice requires 14 cups of boiling water for every 8 cups of rice.
Then we are asked how many cups of rice are needing to be added if we have 28 cups of boiling water.
Since 28 is two times 14, and assuming that this ratio is proportional, we can multiply the cups of rice by 2 to find the equal ratio.
That means that 16 cups of rice should be added if we have 28 cups of boiling water.
In terms of ratios, we can set up the following proportion.

Then here, we can cross multiply and solve for
.


Hope this helps!