Answer:
Seven hundred and eighty-five
distance = speed * time
the first bus speed = x
second bus = x - 12
the sum of distance = 765 miles
first distance = 6x
second distance = 6 (x -12)
6x + 6(x-12) = 765
x + x -12 = 127.5
2x = 139.5
x = 69.75 mi/h which is the faster bus
the second bus speed = 57.75 mi/h
Answer:
They sold the least lemonade with the recipe that used 7 lemons.
Step-by-step explanation:
A function shows the relationship between a dependent variable and an independent variable. A dependent variable changes as other variables change while an independent variable.
From the function given, the dependent variable is the cups sold which i dependent on the lemons used (independent variable).
From the points, when the lemons used was 3 the cups sold was 37, when the lemons used was 4 the cups sold was 32, when the lemons used was 5 the cups sold was 40, when the lemons used was 6 the cups sold was 35 and when the lemons used was 7 the cups sold was 26.
Hence, They sold the least lemonade with the recipe that used 7 lemons. and They sold the most lemonade with the recipe that used 5 lemons.
Answer:
4 or -4
Step-by-step explanation:
Y is directly proportional to x^2 means there is a constant, k, such that y=kx^2.
We are given y=8 when x=2. This information will allow us to find k in the equation y=kx^2.
8=k(2)^2
8=k(4)
This implies k=2 since 2(4)=8.
So the equation for any pair (x,y) is y=2x^2.
We want to find x when y=32.
32=2x^2
32/2=2x^2/2
16=x^2
This implies x=4 or -4.
I hope this will help u <span>It looks like 12 is the smallest number that can be divided by both 3 and 4, so 12 is our LCD. Since 12 is the LCD, it will be the new denominator for our fractions. Now we'll change the </span>numerators<span> of the fractions, just like we changed the denominators. First, let's look at the fraction on the left: 1/4.</span>
