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aliya0001 [1]
3 years ago
6

If two ppl working at 7.00 per hour work 8 hours making trays that cost 35.00 each if it cost 14.00 to make the trays how many w

ould they have to make to cover the cost including labour
Mathematics
1 answer:
sasho [114]3 years ago
3 0

Answer:

They have to make 6 trays to cover the cost including labor.

Step-by-step explanation:

Given:

Number of labor =2

Cost per hour of labor =7.00

Number of hours they work = 8

Selling cost of each trays =35.00

making cost of each tray = 14.00

We need to find the number of trays they to make to cover the cost including the labor.

Solution:

Let the number of trays be 'x'.

First we will will find the Total cost of labor.

Total cost of labor is equal to Number of labor multiplied by Cost per hour of labor multiplied by Number of hours they work.

framing in equation form we get;

Total cost of labor  = 2\times 7\times8 =112.00

Now we can say that;

Selling price of each tray multiplied number of trays equal to Making cost of each trays multiplied by number of tray plus Cost of labor.

framing in equation form we get;

112+14x=35x

Combining like terms we get;

112= 35x-14x\\\\112=21x

Dividing both side by 21 using division property of equality we get;

\frac{112}{21} = \frac{21x}{21}\\\\5.33=x

Hence They have to make 6 trays to cover the cost including labor.

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Sandy is working with a carpenter to frame a house. They are using 8-foot-long boards, but each board must be cut to be 7 feet,
irga5000 [103]
Subtract the difference between the total length of the board (8 feet) and 7 feet 10 3/4 inches. To make it easier, convert both measurements to inches.

1 foot= 12 inches

TOTAL LENGTH:
multiply total length by number of inches in 1 foot.
8 feet * 12 inches= 96 inches

LENGTH TO BE CUT:
7 feet * 12 inches=84 inches
84 + 10 3/4 inches= 94 3/4= 94.75

FIND DIFFERENCE:
=96 - 94.75
=1.25 inches
=1 1/4 inch

ANSWER:
1 1/4 inch is cut off each board.

Hope this helps! :)
4 0
3 years ago
The population of a fish farm in t years is modeled by the equation P(t)= 1000/1+9e^0.6t what is the intial population of fish
Alborosie

Answer:

The initial population of fish is 100.

Step-by-step explanation:

The population of a fish farm is modeled by the following equation:

P(t) = \frac{1000}{1 + 9e^{0.6t}}

What is the intial population of fish

This is P(0)

Any non-zero value elevated to zero is 1. So

P(0) = \frac{1000}{1 + 9e^{0.6*0}} = \frac{1000}{1 + 9e^{0}} = \frac{1000}{10} = 100

4 0
3 years ago
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camp Timberlake has 320 campers in its first summer session . the old 112 campers sleep in tents and the rest sleep in cabins .
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3 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Arlecino [84]

Answer:

P(4) =p(x=4) = 0.205078

Step-by-step explanation:

<u>Explanation</u>:-

The probability of x successes in the n independent trials of the experiment.

Given n=10, p=0.5,

By using Binomial distribution

P(X =x) =  n_{C_{x} } p^{x} q^{n-x}

Given the p = 0.5

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P(X =4) =  10_{C_{4} } (0.5)^{4} (0.5)^{10-4}

we will use formula

n_{C_{r} } = \frac{n!}{(n-r)!r!}

10_{C_{4} } = \frac{10!}{(10-4)!4!}=\frac{10X9X8X7X6!}{6!4!} =\frac{10X9X8X7}{4X3X2X1} =210

P(X =4) =  210 (0.5)^{4} (0.5)^{10-4}

P(X =4) =  210 (0.5)^{4} (0.5)^{6}

on calculation, we get

P(X=4) = 0.205078

3 0
3 years ago
Help please help super hard!!!
WITCHER [35]
7 > x/4

Step 1) we multiply each side by 4

7 times 4, 4 times x/4

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3 0
3 years ago
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