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Aleksandr-060686 [28]
4 years ago
13

A science teacher collects 19 pints of lake water for a lab she is teaching.The lab requires each student to use 4 fluid ounces

of lake water. If 60 students are participating, how many pints of lake water will the teacher have left over?
Mathematics
1 answer:
ivolga24 [154]4 years ago
4 0

Answer:

4 pints

Step-by-step explanation:

The conversion from pint to ounce is:

1 pint = 16 ounces.

The teacher collected 19 pints, that is, 19*16 = 304 ounces of lake water.

If there are 60 students, and each of them use 4 ounces, the total of lake water used is 60*4 = 240 ounces.

So, the amount of lake water left is 304-240 = 64 ounces, that is, 64/16 = 4 pints.

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Answer:

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Step-by-step explanation:

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Company A: $39.99 per month no installation fee
Svetlanka [38]

Company A represents a proportional relationship, while company B does not.

<h3>Proportional relationship</h3>

The general format of a equation representing a proportional relationship is given as follows:

y = rx.

A proportional relationship is a special case of a linear function, having an intercept of zero.

Then, the output variable y is calculated as the multiplication of the input variable x by the constant of proportionality k.

The costs for each company after x months, in this problem, are represented as follows:

  • A(x) = 39.99x.
  • B(x) = 34.99x + 50.

Company B has an intercept different of zero, hence it is not a proportional relationship, while Company A, with an intercept of zero, represents a proportional relationship.

<h3>Missing Information</h3>

The complete problem is:

Two companies offer digital cable television as described below.

Company A: $39.99 per month no installation fee

Company B: $34.99 per month with a $50 installation fee

For each company tell whether the relationship is proportional between months of service and total cost is a proportional relationship. Explain why or why not

More can be learned about proportional relationships at brainly.com/question/10424180

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6 0
1 year ago
Given that (8,-1) is on the graph of f(x), find
Nikolay [14]

Answer:

(-12, -1)

Step-by-step explanation:

(8, -1) => (-2/3x, f(-2/3x))

therefore

-2/3x = 8

x = 8 *-3/2

x = -12

f(-2/3x) = -1

therefore, the corresponding point is:

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How to do questions 19 and 20
Alexeev081 [22]

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

3w + 2h + 5t = 136 (total purchasing and cost)

We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

Simplify

6h + 2h + 5h - 20 = 136

13h = 136 + 20

13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

t = $8

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3 years ago
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