m = rise/run = (-10 - (-1))/(-6 - (-3)) = -9/-3 = 3
the slope of the line is equal to 3.
Answer:
Tina can select and answer the essay questions on her test in 35 ways.
Step-by-step explanation:
The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
Three questions from a set of 7. So

Tina can select and answer the essay questions on her test in 35 ways.
Answer: <span>2,856 ft³ .</span>
_____________________
Volume of a rectangle prism = BASE AREA * height ;
The "base area" is the area of the rectangle:
(Area = length width; or, "L * w").
_______________________________________________
So, volume of a rectangular prism = L * w * h ; h = height ;
_________________________________________
V = L * w * h = 12 ft * 17 ft. * 14 ft = 2,856 ft³
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The waitress earns $425 weekly.
Work:
Use proportions.
x 4
------- = ------
4,200 100
4,200 x 4 = 16800
100 multiply x = 100x
16800 divided by 100 = 168
Commission = $168
Base salary = $257
$168 + $257 = $425
First let's make the denominators of the fractions equal.
To do this, we have to find a number which both 5 and 7 divide into.
The smallest number that does this is 35.
2 --> Multiply the numerator by 7
--
5 --> Multiply the denominator by 7 to get 35
= 14/35
1 --> Multiply the numerator by 5
--
7 --> Multiply the denominator by 5 to get 35
= 5/35
Joe has eaten 14/35 and James has eaten 5/35.
14 / 5 = 2.8
<u>Joe has eaten 2.8 (or 2 4/5) times more pizza than James.</u>