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Taya2010 [7]
3 years ago
11

Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the

last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.
Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

Given

Initial = 8

Increment = 3 (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

y = Initial\ Figurines + Increment * x

This gives:

y = 8 + 3 * x

y = 8 + 3x

Reorder

y = 3x + 8

A linear equation is of the form

y = mx + b

By comparison,

y = mx + b is equivalent to y = 3x + 8

<em>Hence, we can conclude that the situation is linear</em>

stealth61 [152]3 years ago
3 0

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation:

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Minchanka [31]

9514 1404 393

Answer:

  • 4
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Step-by-step explanation:

For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.

Coefficient of x:

  7x = __x + 3x

  4x = __x . . . . . . subtract 3x; next divide by x

  4 = __ . . . . . the required x-coefficient is 4

Constant term:

  -8 = 8 -__

  -16 = -__ . . . . . subtract 8

  16 = __ . . . . . . multiply by -1

__

The numbers that go in the boxes are 4 and 16.

7 0
3 years ago
Whole numbers are written on cards and then placed in a bag. Tyra selects a single card, writes down the number. and then placed
wariber [46]
The tables shows that the relative frequencies for each number are very similar 0.19, 0.20 and 0.21.

That drives to tell that the outcomes appear to be equally like.

That means that the probabilities are uniform, so the answer is:
<span>The outcomes appear to be equally likely, so a uniform probability model is a good model to repersent the probabilities in Tyra's experiment.</span>
 

3 0
3 years ago
12. Which expression is equivalent to 5x + 9?
drek231 [11]

Answer:

the first one, 5(x-4) + 29

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

5 0
3 years ago
Obasi earns 150%, percent of his regular hourly wage while working overtime. What fraction of his regular hourly wage does Obasi
hammer [34]

Obasi earns 150% of his regular hourly wage while working overtime.

Let us convert percentage into fraction first:

To convert a percentage into fraction we need to use the following formula:

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Here, he earns 150% of his hourly wage while working overtime:

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8 0
3 years ago
Read 2 more answers
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