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Lisa [10]
3 years ago
13

Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for p

lanting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $250 this week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens, which system of inequalities could be used to represent the given conditions?
Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer:

m+g\leq40

12m + 14g\geq250

Step-by-step explanation:

Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.

Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.

He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.

Then, the system of the inequality becomes

m+g\leq40

12m + 14g\geq250

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Answer:

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Step-by-step explanation:

<u>Arithmetic Sequences</u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the <u>common difference</u>.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

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If at least two consecutive terms are given, we can find the common difference by subtracting them.

We are given the terms 152, 149, 146,...

The common difference is

r = 149 - 152 = -3

The first term is a1=152.

Now we apply the general formula to find the term n=44

a_{44}=152-3(44-1)

a_{44}=152-3(43)

a_{44}=152-129=23

The 44th term is 23

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Step-by-step explanation:

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