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saul85 [17]
3 years ago
13

Sam is a waiter at a local restaurant where he earns wages of $7per hour. Sam figures that he also earns about $5 in tips for ea

ch person he serves. Sam works 6 hours on a particular day. If n represents the number of people Sam serves that day, which of the following functions could Sam use to figure E, his total earnings for the day
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0
There aren't any functions listed to choose from, but it should look something like the following:

E= total earnings that day
h= # hours worked that day
n= # people served that day

E= 7h + 5n

substitute 6 hours in for h

E= 7(6) + 5n

E= 42 + 5n OR E= 5n + 42

Hope this helps! :)
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What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

7 0
3 years ago
Abdul has 15 shirts to fold. Let n be the number of shirts he would have left to fold after folding f of them. Write an equation
andrew-mc [135]

Answer:

n + f = 15

Step-by-step explanation:

n + f = 15

n + (6) = 15

n = 15 - 6 (opposite side opposite sign)

n = 9

4 0
2 years ago
Given f(x) = -* -<br> - 5, solve for x when f(x) = -3.
Ne4ueva [31]

Answer:

x = -2

Step-by-step explanation:

Step 1: Define

f(x) = -x - 5

f(x) = -3

Step 2: Substitute and Evaluate

-3 = -x - 5

2 = -x

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7 0
3 years ago
Read 2 more answers
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gizmo_the_mogwai [7]
X=3.8 y=6 I hope this helps!
5 0
3 years ago
Read 2 more answers
A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 cent
Eddi Din [679]

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

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area of the base(trapezoid) = 140 cm²

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To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

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3 years ago
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