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Schach [20]
3 years ago
11

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is s

till in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
a. create a system of equations or inequalities that models the situation. define the variables you use.

b. the graph shows one of the relevant equations in this situation. Draw the graph of the other relevant equation.

c. show all the points that represent the number of hours the student can work at each job and meet his goal.​
Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

:)

Step-by-step explanation:

15x=300

x will equal 20

20x=300

x will equal 15

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A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioac
sammy [17]

Answer:

The mass of the radioactive sample after 40 minutes is 12.8 g.

Step-by-step explanation:

The mass of the sample can be found by using the exponential decay equation:

N_{t} = N_{0}e^{-\lambda t}

Where:

N(t): is the amount of the sample at time t =?

N₀: is the initial quantity of the sample = 120 g

t = 40 min

λ: is the decay constant =  0.056 min⁻¹

Hence, the mass of the sample after 40 min is:

N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g

     

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.

I hope it helps you!

5 0
3 years ago
NEED DONE ASAP
MariettaO [177]
It’s 40 degrees since the bisect of an angle is just half of the original angle.
4 0
2 years ago
Read 2 more answers
What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...​
Andru [333]

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

6 0
2 years ago
Without
aivan3 [116]

Answer:

Thousandths place.

Step-by-step explanation:

The answer doesn't change that drastically

6 0
2 years ago
The height of two similar pails are 12cm and 8cm.The larger pail can hold 2litres. What is the capacity of the smaller pail?
Vedmedyk [2.9K]

Answer:

1.33 liters

Step-by-step explanation:

Volume of any shape is given by cross sectional area multiplied by height. Therefore, V=Ah

Where A is area and h is height

Since their cross sections are the same, then volume depends on height.

If 12cm equals 2 liters

8cm equals x

X=(2*8)/12=1.3333333333333 liters

Approximayely, the smaller pail has capacity of 1.33 liters

7 0
3 years ago
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