Answer:
17% of the bill
Step-by-step explanation:
Well to find the answer to this question we first have to add 35 + 48 to get the total percent of the bill that Michelle and Lori paid.
35 + 48 = 83%
now that we know the percent of the bill that Lori and Michelle are paying we have to subtract that amount by 100% to get the percent of the bill that Patti is paying.
100% - 83% = 17%
So Patti is paying 17% of the bill
If we wanted to go even farther and find out what 17% of the bill was all we would have to do is multiply 45 by 17% or 45 x 0.17
45 x 0.17 = 7.65
So Patti is paying 7 dollars and 65 cents
Answer:
x = -26 and y = -2
I hope this is the answer you are looking for
Step-by-step explanation:
x-8y = -10 => add 8y to both sides
+8y = +8y
x = -10+8y
-2(-10+8y) -6y = -24 => intersect what you got into the first equation
20-16y-6y = -24 => Distribute the -2
20-22y = -24 => subtract 20 in both sides
-20 = -20
-22y = -44 => divided by -22 in both sides
/-22 = /-22
y = -2
x-8(-2) =-10 => intersect the y into the other equation
x+16 = -10 => multiply -8*-2
-16 = -16
x = -26 => subtract 16 in both sides.
Step-by-step explanation: What they mean is if you were to say put all that data onto a graph, any kind of graph. What graph would you chose, and why? How you would work through this kind of problem, or at least how I would approach it weight out the pros and cons of each graph, or put some data on different graphs and see what works best. On the contrary if you have a rough idea of how each graph would look like you would just chose the one you think conveys the information best. I think they're is a best answer, but no wrong answer, you can make an argument for most graphs if you try, so just chose the one you think is best, and write your reasoning.
Answer:
7. 21
9. $16,200
Step-by-step explanation:
1. See the attachment for the possible outcomes of rolling two dice. There are 21 ways to get a sum less than 8. (You can count them.)
__
2. 1/3 of 1/2 of the total amount of stock is worth $2700. That is 1/6 of the stock, so the worth of all the stock before the sale must be 6 times $2700, or $16,200.
Given:
The edge length of a cube is changing at a rate of 10 in/sec.
To find:
The rate by which cube's volume changing when the edge length is 3 inches.
Solution:
We have,

We know that, volume of cube is

Differentiate with respect to t.

Substituting
and a=3, we get



Therefore, the volume increased by 270 cubic inches per sec.