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pshichka [43]
2 years ago
11

You earn $11 per hour delivering pizzas. you also work part-time at a convenience store where you earn $9 per hour. you want to

earn at least $150 per week, but you can only work 25 hours per week. how many hours can you work at each job?
Mathematics
1 answer:
scoundrel [369]2 years ago
7 0
We will traduce the sentences into equations. 
Let x be the number of hours in the first job, and y be the number of hours in the second job. 
Then the equations are:
x+y\leq25\\11x+9y\geq 150

The above system has many solution, we can select for example:
x = 1, y = 16. So we can work one hour at the first job and 16 hour at the second job. 
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Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her recta
jeka94

Answer:

  W=\dfrac{P}{2}-L

Step-by-step explanation:

  P=2L+2W \qquad\text{given}\\\\P-2L=2W \qquad\text{subtract $2L$}\\\\\dfrac{P-2L}{2}=W \qquad\text{divide by 2}\\\\W=\dfrac{P}{2}-L \qquad\text{carry out the division}

This formula does not seem to be among the answer choices.

  W = (P/2) -L

5 0
1 year ago
Which number line represents the solution set for the inequality –negative StartFraction one-half EndFraction x is greater than
lozanna [386]

Answer:

<h2>Second choice.</h2>

Step-by-step explanation:

The given inequality is

-\frac{1}{2}x \geq  4

Let's solve for x

x\leq -4(2)\\x\leq -8

Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.

Therefore, the second choice represents the solution to the given inequality.

4 0
2 years ago
Read 2 more answers
A sample of 2,000 licensed drivers revealed the following number of speeding violations. Number of Violations Number of Drivers
Arturiano [62]

Answer:

The probability that a particular driver had exactly two speeding violations is 0.009.

Step-by-step explanation:

We are given that a sample of 2,000 licensed drivers revealed the following number of speeding violations;

           <u>Number of Violations</u>               <u>Number of Drivers</u>

                         0                                              1,910

                          1                                                46

                         2                                                 18

                         3                                                 12

                         4                                                  9

                         5 or more                             <u>       5      </u>

                        <u>Total</u>                                      <u>    2000  </u>

<u />

Now, the data means that 1,910 drivers had 0 speeding violations and so on.

Now, we have to find the probability that a particular driver had exactly two speeding violations, that means;

Number of drivers having exactly two speeding violations = 18

 Total numbers of drivers = 2000

So, the required probability  =  \frac{\text{No. of drivers having two speeding violations}}{\text{Total no. of drivers}}

                                               =  \frac{18}{2000}  =  <u>0.009</u>

6 0
1 year ago
Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours,
Eva8 [605]
Let:
x = hours of travel
y = velocity

slope= rise/run slope=(y2-y1)/(x2-x1) 
(x1,y1) = (2,50) (x2,y2) = (6,54) 
sub values back into the equation m = (54-50)/(6-2) m = 1 
POINT SLOPE FORMy-y1 = m(x-x1) y-50= 1(x-2) y = x -2 +50
y = x + 48

B) 

the graph within the first seven hours can be obtained at point B

x = 7

y = 7+48 = 55
B(7,55)
4 0
1 year ago
Lenmana started studying how the number of branches on her tree grows over time. The number of branches increases by a factor of
Ad libitum [116K]

Answer:

N(t) = 48 * 11/6^{\frac{t}{3.5} }

Step-by-step explanation:

The formula for <u>exponential growth</u> is y = ab^x.

To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.

N(t) = 48 * 11/6^(t/3.5)

This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.

7 0
1 year ago
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