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lara31 [8.8K]
3 years ago
14

Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0
<span>Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

1) 8(x + 7) = 8x + 56

2) 5(x - 10) = 5x - 50

3) 6(11 + x) = 66 + 6x

</span><span>Factor each expression. (Pull a common factor from each number) 

COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)

4) 12 + 36 = 12 (1 + 3)

5) 16 + 20 = 4 (4 + 5)

Solve each expression using the distributive property.

6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328 


7) 12 x 44 = 12 (40 + 4)  = 480 + 48 = 528

</span><span>8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.

Expression = 9f + 9n = 9($2.50) + 9($4)

Total cost =</span>9($2.50) + 9($4) = $22.5 + $36 = $58.5
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A project to build a new bridge seems to be going very well since the project is well ahead of schedule and costs seem to be run
Alecsey [184]

Answer:

Scheduled Variance = $850,000.00

Schedule Performance Index = 1.05

Cost Performance Index = 1.11

Step-by-step explanation:

Note: See the attached excel file for the calculations of Total Actual Cost to Date, Budgeted Cost of Work Scheduled (BCWS), and Budgeted Cost of Work Performed (BCWP).

From the attached excel file, we have:

Total Actual Cost to Date = $15,300,000

Total BCWS = $16,170,000

Total BCWP = $17,020,000

Therefore, we have:

Scheduled Variance = Total BCWP - Total BCWS = $17,020,000 - $16,170,000 = $850,000.00

Schedule Performance Index = Total BCWP / Total BCWS = $17,020,000 / $16,170,000 = 1.05

Cost Variance = Total BCWP - Total actual cost to date = $17,020,000 - $15,300,000 = $1,720,000

Cost Performance Index = Total BCWP / Total actual cost to date = $17,020,000 / $15,300,000 = 1.11

Download xlsx
7 0
3 years ago
26° Х Х X = degrees Enter<br>please help asap​
Alinara [238K]

Answer:

77 degrees

Step-by-step explanation:

we know all 3 points must equal 180 degrees. take 180 and subtract the known 26. since the last two points are equal divide by 2 and get 77

4 0
3 years ago
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7th grade math <br><br><br><br>2 If 40 is decreased by 80%, what is the new amount?​
Afina-wow [57]

Answer:

32

Step-by-step explanation:

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3 years ago
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h
ycow [4]

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

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7 0
1 year ago
after a deposit of $476 Sierra saves $11 per day how much money will Ciara have in 8 Days use an equation to solve the problem i
Alinara [238K]
11x 8 =88 . 476+88=564
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3 years ago
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