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fredd [130]
3 years ago
7

A conjecture and a portion of the flowchart proof used to prove the conjecture are shown.

Mathematics
2 answers:
Sever21 [200]3 years ago
5 0

Answer:

3x = 27

Step-by-step explanation:

The addition property of equality, which is used to justify this step in the proof, states that we can add the same number to both sides of an equation and maintain equality.  The only number we would want to add in this equation to solve it would be 1 (adding one cancels the subtracted 1); doing so cancels it on the left and gives us 27 on the right.

vova2212 [387]3 years ago
3 0
3x - 1 = 26

substitution property of equality

3x = 27

answer
3x = 27
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Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the
Bogdan [553]

Answer: After working for 33 \frac{1}{3} hours a week

Step-by-step explanation:

     Let us write equations to represent these two places. Let x be hours worked and y be money earned.

   Tim Hortons:

$200 + $5x = y

    McDonalds:

$300 + $2x = y

    Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. <em>See attached for the graph</em>.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > \frac{100}{3}

x > 33.3334

    Tim Hortons is the better employer after an employee has worked for 33 \frac{1}{3} hours a week.

<em>Read more about </em><em>this question</em><em> here:</em>

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8 0
1 year ago
What is the solution to 5x &lt; 30
max2010maxim [7]

Let's solve your inequality step-by-step.

5x<30

Step 1: Divide both sides by 5.

5x

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7 0
3 years ago
The contents of a cell in a spreadsheet are shown below. 4.7893541EE-6 What number does the contents of the cell represent?
matrenka [14]

Answer:

D

Step-by-step explanation:

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3 years ago
Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would
kakasveta [241]

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

<h3>How to determine the number of cartons</h3>

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

Hence, 1 carton of eggs is expected to contain at least one broken egg, on average

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2 years ago
What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8
deff fn [24]
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

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3 0
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