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Masja [62]
2 years ago
4

Annabelle's total pay varies directly with the number of hours she works. If she works 4 hours, she earns $100. How much does An

nabelle earn if she works 6 hours? Plz show work:)
A.$90.
B. $120.
C. $150.
D. $300​
Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
8 0

Answer:  C. $150.

Step-by-step explanation:

When two quantities x and y are directly proportional ,then the equation of direct proportion is given by :-

\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

Given : Annabelle's total pay varies directly with the number of hours she works. If she works 4 hours, she earns $100.

Let x_1=100\ ;\ y_1=4 \ :\ x_2=x,\ y_2=6, then we ahve

\dfrac{100}{4}=\dfrac{x}{6}\\\\\Rightarrow\ x=\dfrac{100\times6}{4}=150

Hence, Annabelle earns $150 if she works 6 hours.

Alex777 [14]2 years ago
5 0

Answer:

C. $150 :)

Step-by-step explanation:

If Annabell works 4 hours and earns $100 that means for every hour she earns $25 so 25×4=100 so then multiply 25×6=15]

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Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

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- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

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∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

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∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

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∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

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∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0
2 years ago
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Answer:

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The p-value is the probability that the null hypothesis is true.

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2 years ago
(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do
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we know that

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Answer:

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Step-by-step explanation:

From the question given above, the following data were obtained:

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From the above data,

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