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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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Flauer [41]

Step-by-step explanation:

1a.

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(2p^2)^3 without exponents will represent 2p being multiplied by 2p 2 times and by p 3 times.

<u>1b. Solve:</u>

<u>Include exponent outside parenthese:</u>

<u>{2}^{3} {p}^{2 \times 3}</u>

8 {p}^{6}

8p^6 is your answer for part B.

7 0
2 years ago
Letizia y Marta han ido de compras en las rebajas la primera ha comprado unos pantalones de $42 y una camisa de $24 y la segunda
kari74 [83]

Answer:

percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%

Step-by-step explanation:

<u>Question in English</u>

Leticia and Marta have gone Shopping in the sales. The First has bought $ 42 pants and a $ 24 shirt, and the second has bought a $ 28 sweater and $ 60 shoes. After applying the discounts, Leticia has paid $ 50.4 and Marta $ 64.4. Calculate the percentages of discounts applied knowing that the percentage applied to the pants and the sweater matched and that applied to the shirt and shoes as well.

<u>Solution</u>

Leticia = 42 + 24 = 50.4

Marta = 28 + 60 = 64.4

The percentage applied to the pants and the sweater coincided (that is, it is x) and that applied to the shirt and shoes also (that is, it is y)

Thus,

1) 42x + 24y = 50.4

2) 28x + 60y = 64.4

obtaining and in 1 we have

y = 50.4 - 42x / 24

y = 2.1 - 1.75x

Substituting and in 2 we obtain

28x + 60y = 64.4

28x + 60 (2.1 - 1.75x) = 64.4

28x + 126 - 105x = 64.4

126 - 64.4 = 105x - 28x

x = 61.6 / 77

x = 0.8

Substituting x into 1 gives:

42x + 24y = 50.4

42 (0.8) + 24y = 50.4

33.6 + 24y = 50.4

y = 50.4 -33.6 / 24

y = 0.7

Therefore, the percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%

6 0
3 years ago
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Need help with this question
Umnica [9.8K]

Answer:

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Step-by-step explanation:

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3 years ago
Curtis paid $80 on the vet bill for his dog. Then the vet charged him $40 more for his dog's medicine. If he now owes the vet $1
Klio2033 [76]

Answer:

He paid 80 at the start, so his starting must have been 80

Step-by-step explanation:

80+40=120...

so either 0, or 80 because he owed nothing, or he owed the 80, then the 40 for medication

I hope this helps!

8 0
3 years ago
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22/48 = 11/24

Answer : 11/24
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