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Lilit [14]
3 years ago
15

Robin earned $4,320 in 9 weeks and worked 40 hours in each week.how much did he earned per hour

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0

Answer:

$12 per hour

Step-by-step explanation:

4320 / 9 = 480 per week / 40 = 12 per hour

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
andriy [413]

Answer:

The point that maximizes the objective function is (3,0)

Step-by-step explanation:

we have

Constraints:

x\geq 0\\y\geq 0\\-x + 3\geq y\\y\leq \frac{1}{3}x+1

Using a graphing tool

The feasible region is the shaded area

see the attached figure

The vertices of the feasible region are

(0,0),(0,1),(1.5,1.5) and (3,0)

we know that

To find the point in the feasible region that maximizes the objective function, replace each ordered pair of vertices in the objective function and then compare the results.

The objective function is

C=5x-4y

For (0,0) -----> C=5(0)-4(0)=0

For (0,1) -----> C=5(0)-4(1)=-4

For (1.5,1.5) -----> C=5(1.5)-4(1.5)=1.5

For (3,0) -----> C=5(3)-4(0)=15

therefore

The point that maximizes the objective function is (3,0)

8 0
3 years ago
Need help with this question
Debora [2.8K]

Answer:

y=-1/2n+44

Step-by-step explanation:

The number of bean stalks, n, represents the x values

The yield, y, represents the y values

After reading the problem, we have two coordinates: (30,29) and (32, 28) Because this problem is asking for y=mn+b, we have to find the slope. How do we find the slope? We do so by using the slope formula y2-y1/x2-x1. Now let's input the coordinates into this formula.

1.) 28-29/32-30 = -1/2

Let's plug -1/2 into y=mn +b

2.) y=-1/2n+b

Now we have to find what b ( y intercept) equals. To find B, we plug a coordinate into x and y. Let's use (30,29)

3.) 29 = -1/2(30)+b

29 = -15 +b

44 = b

We have now found the linear relationship form for this problem: y=-1/2n +44

8 0
2 years ago
you choose at random from the letters a,b,c and d and you roll a number cube once. what are the chances that you get an a and 5?
Keith_Richards [23]
1/24 or 4%

There is a total of 24 outcomes
4 letters • 6 numbers = 24 possible outcomes
There are 6 different outcomes when it comes to each letter.
(a1, a2, b1, b2 etc)
so getting a5 is a 1/24 chance because there 24 outcomes and only one of them is a5
7 0
3 years ago
In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____.
Damm [24]

Answer:

100°

Step-by-step explanation:

Anders Celsius used centigrade temperature scale along with mercury thermometers with a fixed boiling point of water at zero, he also used a fixed freezing point of water at the mark of 100-degree. This new scale was described in the year 1742 to Swedish Academy of Sciences.

3 0
3 years ago
Read 2 more answers
Frida applied the steps below to find the product of (–1.2)(–9.4). Step 1: (–1.2)(–9.4) = (–9.4)(–1.2) Step 2: = (–9.4)(–1) + (–
lozanna [386]
Check on go gle it might help
5 0
3 years ago
Read 3 more answers
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