Answer:
Step-by-step explanation:
11=4(8)+b
11=32+b
-21=b
y=4x-21
i think
Answer:
The amount of mango juice needed is 8 quarts
Step-by-step explanation:
To calculate the amount of mango juice needed, we will need to know the amount used the previous week.
Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x
This means;
3/2 = 4/x
1.5 = 4/x
1.5x = 4
x = 4/1.5 quarts
Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts
The functions are:

and

.
After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as

.
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left.
Answer: 23
586/10 -> 293/5 -> 58 3/5
Answer:

Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:

Plug in the values

Multiply both sides by √3



