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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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Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.
ArbitrLikvidat [17]

The table gives the different combinations of stamps Karl has

the first option says that


a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps


b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong


c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct


d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong


correct answer is C

4 0
3 years ago
Read 2 more answers
Identify any restrictions on the variable.
Wittaler [7]

Answer:

x=mc2 + 86

Step-by-step explanation:

4 0
2 years ago
Triangle QRS has been rotated 90° to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite an
Zanzabum

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90°, 90 ° clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

6 0
3 years ago
Find the area of the figure below
icang [17]

Answer:

324

Step-by-step explanation:

Simplify it

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B25%7D%20" id="TexFormula1" title=" \sqrt{25} " alt=" \sqrt{25} " align="absmiddle
erma4kov [3.2K]
Square root of 25 is 5 because 5x5=25
5 0
3 years ago
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