Suppose time Olive is traveling is x hours.
distance=speed×time
Olive's speed=30 miles per hour
time= x hours
Therefore, Olive's distance at time x will be given by:
distance=30×x= 30x
The right equation is:
Miles=30x
The height=2cm, Length=6m,Width=3cm
Answer:
First, let's define two variables:
x = number of hours that you work at the Pollo Tropical per week
y = number of hours that you work at Jason's Deli per week
Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.
With the given information, we know that the weekly earnings are:
x*$8 + y*$8.75
We can define this as the objetive function, the one that says how much money you get as a function of x and y:
M(x, y) = x*$8 + y*$8.75
Now, we know that:
"Pollo Tropical requires that you work at least 10 hours per week"
Then:
x ≥ 10
"Jason's Deli does not allow students to work more than 20 hours per week."
y ≤ 20
"you can't work more than 28 hours/week."
x + y ≤ 28
Then we have:
M(x, y) = x*$8 + y*$8.75
And the system of inequalities is:
x ≥ 10
y ≤ 20
x + y ≤ 28
Answer:
slope is undefined
Step-by-step explanation:
Attached is a Venn diagram of your problem.
Knowing how many likes all three will help. You know that 10 students like all three.
Rock and Jazz only:
16 like rock and jazz while 10 like all three. To get how many like jazz only, subtract 10 from 16.
16-10 = 6
Rock and Classical only:
13 like rock and classical while 10 like all three. To get how many like jazz only, subtract 10 from 13.
13-10 = 3
Jazz and classical only:
12 like jazz and classical while 10 like all three. To get how many like jazz only, subtract 10 from 12.
12-10 = 2
Now with that data you fill up the 4 intersecting areas. To get the outer, just remember that all areas within a circle should add up to the first assumption.
27 rock
24 classical
28 Jazz
All numbers in the rock circle should add up to 27.
All numbers in the classical circle should add up to 24.
All numbers in the Jazz circle should add up to 28.
Rock:
3+10+6+x = 27
19+x=27
x = 27-19
x= 8
Classical:
3+10+2+x = 24
15 + x = 24
x = 24-15
x = 9
Jazz:
10+6+2+x = 28
18 + x = 28
x = 28 - 18
x = 10
In summary: 8 liked only Rock, 9 liked only Classical, 10 liked only Jazz.