Answer:
The answer is 36m
Step-by-step explanation:
Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.
Answer:
38.60 mph
Step-by-step explanation:
Average speed = total distance / total time
44 mph = (70 mi + 60 mi) / t
t = 2.95 hr
The time spent during the first 70 miles is:
d = rt
70 mi = (50 mph) t
t = 1.4 hr
So the time spent during the last 60 miles is:
t = 2.95 hr − 1.4 hr
t = 1.55 hr
So the average speed during the last 60 miles is:
d = rt
60 mi = r (1.55 hr)
r = 38.60 mph
Answer: -48
Step-by-step explanation:
-4(12)
4x12= -48
Answer:
The club should charge $211 to optimize the revenue.
Step-by-step explanation:
Hi there!
The current revenue of the health club is calculated by multiplying the number of clients by the membership due value.
If y = revenue, then:
y = 1900 · 42
So, if the memberiship dues increase by $1, 5 clients will be lost. Then, if the dues increase by a value of x, then the number of lost clients will be 5x. If such an increase is applied, the revenue will be:
y = (1900 - 5x) (42 + x)
Apply distributive property:
y = 79800 + 1900x - 210x - 5x²
y = -5x² + 1690x + 79800
The function is a negative parabola, then, its maximum will be the vertex of the parabola that can be calculated using the following formula:
x = -b/2a
Where:
b = 1690
a = -5
Then:
x = -1690/(2 · -5)
x = 169
The club should charge 169 + 42 = $211 to optimize the revenue.
Answer:
Blue paint=21 ounces
Step-by-step explanation:
3/4 cup=6 ounces
1 cup=8 ounces
3/4 cup of blue paint=6 ounces of blue paint
1 cup of white paint= 8 ounces of white paint
Ava has 28 ounces of white paint
Find the required blue paint
Let the required blue paint=x
Blue paint ratio white paint
6:8=x:28
6/8=x/28
Cross product
6(28)=x(8)
168=8x
x=168/8
x=21 ounces
