MATHEMATICS COLLEGE

8. A carpenter balances his daily projects between small jobs (x) and building cabinets (y). He allots 2hours per small job and 4 hours per cabinet job. He works at most 12 hours per day (2x + 4y <_12).
He cannot do more than 3 small jobs per day
and get all of his cabinets done (Y >_0) & (0The carpenter earns $125 per small job and $500 per cabinet job. Find a combination of small jobs and
completed cabinet jobs per week that will maximize income.

Answers

Answer 1
Answer:

Answer:

\$1125

Step-by-step explanation:

The equations of the system are

2x+4y\leq 12

y\geq 0

0<x\leq 3

From the graph it can be seen that points (3,1.5) and (3,0) falls in the bounded region.

The income will be

125x+500y=125* 3+500* 1.5\n =\$1125

125* 3+500* 0=\$375

So, the person can do 3 small jobs and build 1 and a half cabinets per day.

The maximum income will be \$1125.

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Victor collects data on the price of a dozen eggs at 8 different stores.median: $ 1.55Find the lower quartile and upper quartile ofthe data set.lower quartile: $upper quartile: S?$1.39 $1.40 $1.44 $1.50 $1.60 $1.63 $1.65 $1.80
HELP MEEEEEEEEEEEEEEEEEEE I DONT GET IT
The tread life on tires produced at one factory has a standard deviation of sigma equals 4 comma 000 miles. What is the standard deviation of the sampling distribution of the sample means given the sample size is 4
Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.
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A box contains 8 chocolate, 4 powdered sugar, 6 cinnamon, and 6 red velvet munchkins. If you grab a munchkin, eat it, and then grab another one, what is P(chocolate, and then red velvet)? Show your work.

Answers

Answer:

ok so there is 24 munchkins in the box and the probability of picking a chocolates is 1/3 and the probability of picking a red velvet is 1/4 so the if we multiply these together the probability of picking a chocolates then a red velvet is 1/12 or 8.3 percent

2. Briana goes to the store and buys 12 items. Ifeach item is $3.25, what is her total bill without
tax?

Answers

I think this would be $42.2
I just multiply 12 by 3.25

Answer:

12*3.25=39

Step-by-step explanation:

u multiply 12 by 3.25 and then u get ure answer witch is 39!!

On two investments totaling $6,000, Kevin lost 3% on one and earned 6% on the other. If his net annual receipts were $288, how much was each investment?

Answers

ANSWER:

$ 800 was invested in the account at 3%

$5200 was invested in the account at 6%

STEP-BY-STEP EXPLANATION:

We can establish the following system of equations thanks to the help of the statement:

Let x represent the amount invested in the investment that lost value

Let y represent the amount invested in the investment that gained

value.

\begin{gathered} x+y=6000\rightarrow y=6000-x\text{ (1)} \n -0.03x+0.06y=288\text{ (2)} \end{gathered}

We replace equation (1) in (2) and solve for x:

\begin{gathered} -0.03x+0.06\cdot(6000-x)=288 \n -0.03x+360-0.06x=288 \n -0.09x=288-360 \n x=(-72)/(-0.09) \n x=800 \n \text{ Now, for y replacing in (1)} \n y=6000-800=5200 \end{gathered}

Therefore, $ 800 was invested in the account the lost value, and $ 5200 was invested in the account that gained value.

Bryan B. kicks a 3kg soccer ball that accelerates at 9 m/s2. What is the force?0 27 N
O 3N
0 12 N
22N

Answers

The answer is 27N

ur welcome

Please help me!! pel​

Answers

Answer:

5

Step-by-step explanation:

plug that bad boy in and chug

(-6)^(2) + 6(-6) +5

36 + (-36) + 5

36 - 36 + 5

5

Answer:

It’s 5

Step-by-step explanation:

Because the new expression would be -6^2 + 6(-6) + 5 then u solve it...

36 + (-36) + 5

which is 5 have a great day!

I NEED YOUR HELP 22 POINTSA cone has a base of 30 in^2 and a height of 8.8 what is the volume of the cone?
Plz show how to do it I'm stuck

Answers

Hello from MrBillDoesMath!

Answer:

88 in^3

Discussion:

The volume of a cone of height h and base radius r is

          Pi * R^2 * (h/3)

But Pi * r^2 ( = 30) is the area of the base so the volume is:

         (30) * (8.8)/3 =

         (30/3) ( 8.8) =

         10 * 8.8 =

         88 in^3


Thank you,

MrB

Answer:

8293.8in

Step-by-step explanation:
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