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il63 [147K]
3 years ago
6

Peter earns 12 dollars per hour doing chores and a weekly allowance of 25 dollars. The equation p(x)=12x+25 represents how much

peter would earn in a week by doing x chores. If peter's parents agreed to increase his pay per chore by 3 dollars, write an equation to represent how much peter would earn in a week.
Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

50

Step-by-step explanation:

p(1)=15x+25

p(1)=15(1)+25

p(1)=15+25

p(1)=50

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Determine the utilization and the efficiency for each situations:A. A loan processing operation that processes an average of 7 l
Vera_Pavlovna [14]

Answer:

A) Utilization = 70%

Efficiency = 87.5%

B) Utilization = 66.67%

Efficiency = 80%

Step-by-step explanation:

Determine the utilization and the efficiency for each situations:

A. A loan processing operation that processes an average of 7 loans per day. The operation has a design capacity of 10 loans per day and an effective capacity of 8 loans per day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = 7 loans per day

Design capacity = 10 loans per day

Utilization = 7/10 × 100

= 70%

Efficiency = Actual output / Effective capacity × 100

Actual output = 7 loans per day

Effective capacity = 8 loans per day

Efficiency = 7/8 × 100

= 87.5%

B. A furnace repair team that services and average of four furnaces a day if the design capacity is six furnaces a day and the effective capacity is five furnaces a day.

Formula for Utilization = Actual Output /

Design Capacity × 100

Actual output = four furnaces a day

Design capacity = six furnaces a day

Utilization = 4/6 × 100

= 66.67%

Efficiency = Actual output / Effective capacity × 100

Actual output = four furnaces a day

Effective capacity = five furnaces a day

Efficiency = 4/5 × 100

= 80%

6 0
3 years ago
Find the geometric means of the following sequence -7, ?, ?, ?, ?, -1, 127, 357
Free_Kalibri [48]
18,267, 2728,2729110,72829183836,261729340
4 0
3 years ago
The body temperatures of adults have a mean of 98.6°F and a standard deviation of 0.60° F. Describe the center and variability o
amid [387]

Answer:

center = 98.6, variability = 0.08

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

The center is the mean.

So \mu = 98.6

The standard deviation of the sample of 50 adults is the variability, so

s = \frac{0.6}{\sqrt{50}} = 0.08

So the correct answer is:

center = 98.6, variability = 0.08

7 0
4 years ago
What is the solution to this equation 5x -8(x + 5)= 6-3x
Solnce55 [7]

Answer:

no solution

Step-by-step explanation:

5x - 8(x + 5) = 6 - 3x

Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.

First, distribute -8 to all terms within the parenthesis

-8(x + 5) = (-8)(x) + (-8)(5) = -8x - 40

5x - 8x - 40 = 6 - 3x

Isolate the variable (x). Add 3x & 40 to both sides

5x - 8x (+3x) - 40 (+40) = 6 (+40) - 3x (+3x)

5x - 8x + 3x = 6 + 40

Simplify. Combine like terms

(5x - 8x + 3x) = (6 + 40)

0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer

~

8 0
3 years ago
Which number line represents the solution set for the inequality 1x24?
coldgirl [10]

Answer:

2 should be the correct one.

3 0
3 years ago
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