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gregori [183]
3 years ago
8

Angeline made a dish with 5 1/3 cups of pasta. One serving is 0.2 cups. How many servings of pasta were in the dish Angeline mad

e?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

26 2/3

Step-by-step explanation:

We could turn both of these numbers into decimals, but I find fractions easier.

so 5 1/3 as an improper fraction is 16/3

0.2 as a fraction is 2/10 or 1/5

so now we have the equation 16/3 ÷ 1/5 or 16/3 x 5/1

this give me 80/3, then when simplified gives me 26 2/3.

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Answer: Choice D) x = a\left(1-\frac{y}{b}\right)

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Work Shown:

\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\

Explanation:

First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.

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Which function represents the given graph?
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PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of
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Using linear function concepts, it is found that:

  • a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
  • b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

------------------------------

A <em>linear function </em>has the format given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

C = f(h) = 37.6 + 0.1h

Item a:

  • The slope is of m = 0.1, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124

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