Answer:
D
Step-by-step explanation:
The ratio of yellow paint to blue paint is 4:3. We can make the largest amount of green paint by using all of the 20 quarts of yellow paint so we have to solve for x in 4:3 = 20:x, since 4 * 5 = 20, 3 * 5 = x so we use 15 qts of blue paint, therefore we will have 20 + 15 = 35 qts of green paint.
Answer:
Length of the shadow of the pole is 6.93 metres
Step-by-step explanation:
Given:
Height of the pole = 4 m
The angle sun makes with the horizontal = 30 degrees
To Find:
Length of the shadow of the pole = ?
Solution:
The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta
Let x be the length of the shadow
According to the tangent ratio
On substituting the values,
x = 6.93 m
Answer:
or ![(-\infty, 47/6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2047%2F6%5D)
Step-by-step explanation:
Note that 
.
Also, note that 
.
So, the inequality is really equal to 
.
We can then add 
to both sides to get .
So, the solution is , or in interval notation,
Answer:
Manny bought 3 pounds that were not on sale
Step-by-step explanation:
If 75 % were on sale, (100% -75% = 25%) then 25% were not on sale (The total has to be 100%)
Manny bought 12 pounds of vegetables
To determine how many pounds were not on sale, we take the amount of vegetables purchased and multiply by the percent that were not on sale.
12 * 25%
Change this to decimal form
12 *.25
3
Manny bought 3 pounds that were not on sale
