8. A carpenter balances his daily projects between small jobs (x) and building cabinets (y). He allots 2
hours 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) & (0
The 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:
[tex]\$1125[/tex]
Step-by-step explanation:
The equations of the system are
[tex]2x+4y\leq 12[/tex]
[tex]y\geq 0[/tex]
[tex]0<x\leq 3[/tex]
From the graph it can be seen that points [tex](3,1.5)[/tex] and [tex](3,0)[/tex] falls in the bounded region.
The income will be
[tex]125x+500y=125\times 3+500\times 1.5\\ =\$1125[/tex]
[tex]125\times 3+500\times 0=\$375[/tex]
So, the person can do 3 small jobs and build 1 and a half cabinets per day.
The maximum income will be [tex]\$1125[/tex].
Related Questions
Write 34/7 as a mixed number in simplest form
Answers
Explanation:
34 goes into 7, 4 times so that would be four wholes and the remainder would go over seven
So 34-28 = 6
Therefore, you would get 4 6/7.
Answer:
4 6/7
Step-by-step explanation:
34/7
We finds out how many 7s are in 34
5 * 7 is 35, so it must be 4.
when 34 is divided by 7, the answer would be 4 and 6 remainders.
put the remainders back into the nominator part of the fraction.
so it's 4 6/7
A data set includes 40 pulse rates of men, and those pulse rates have a mean of 67.3 beats per minute and a standard deviation of 10.3 beats per minute. Construct a 99% confidence interval estimate of the standard deviation of the pulse rates of men.a) 8.4 beats per minute
Answers
Answer:
The 99% confidence interval of the standard deviation of the pulse rates of men is
[tex][ 7.949 \ \ , \ 14.387 ][/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 40
The mean is [tex]\= x = 67.3 \ beats \ per \ minute[/tex]
The standard deviation is [tex]s = 10.3 \ beats \ per \ minute[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 40- 1[/tex]
=> [tex]df = 39[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the chi distribution table the critical value of at a degree of freedom of is
[tex]X^2 _{\frac{\alpha }{2} , 39} = 65.476[/tex]
Generally from the chi distribution table the critical value of at a degree of freedom of is
[tex]X^2 _{1- \frac{\alpha }{2} , 39} = 19.996[/tex]
Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as
[tex]s \sqrt{\frac{n- 1}{X^2_{1- \frac{\alpha }{2} , n-1} } }\ \ , \ s \sqrt{\frac{n- 1}{X^2_{\frac{\alpha }{2} , n-1} } }[/tex]
=> [tex]10.3 \sqrt{\frac{40- 1}{65.476} }\ \ , \ 10.3 \sqrt{\frac{40- 1}{19.996} }[/tex]
=> [tex][ 7.949 \ \ , \ 14.387 ][/tex]
PLEASE HELP ME ASAP I NEED ANSWERS PLEASEEE
Answers
Answer:
p= 21
Explanation:
FIRST DO
3(21) -7
3 × 21 = 63
63 - 7 = 56
THEN DO
6(21) - 2
6 × 21 = 126
126 - 2 = 124
FINALLY
It needs to add up to 180°
124 + 56 = 180°
Therefore, the value of p = 21
Hope this helps!!! :)
How many lines of symmetry are in this snowflake design?
A. O
B. 3
C. 6
D.9
E. 12
Answers
Answer:
c plz give brainliest
Step-by-step explanation:
merry early Christmas help me thx.
Answers
Answer:
The answer is 4 to 5
Step-by-step explanation:
The ratio 36 to 45 simplified is 4 to 5
36 divided by 9 = 4
45 divided by 9 = 5
6.Which describes 9 and -9?
O A. positive integers
O B. opposites
O C. negative integers
Answers
Answer:The answer is B... they are opposites...both are integers but 9 is positive and -9 is negative which make them opposites.
Step-by-step explanation:
i need help
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr
Answers
Answer:
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr = 42
Step-by-step explanation:
Answer:
go back to 1st grade
Find the equation of the line that is parallel to the
line y = -X- 7 and passes through the point
(-5, – 7). Write the equation in slope-intercept
form.
Answers
9514 1404 393
Answer:
y = -x -12
Step-by-step explanation:
The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . . . line of slope m through point (h, k)
y -(-7) = -1(x -(-5))
y = -x -5 -7 . . . . subtract 7, eliminate parentheses
y = -x -12 . . . slope-intercept equation
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week for the school Play?
Answers
Answer:
the awnser is 250 i took the test and got it correct
Step-by-step explanation:
Answer:
300÷1.20
Step-by-step explanation:
Find the difference. 256,805 - 136,667 *
Answers
Answer: 120,138
Step-by-step explanation:
Answer: 120,138
Step-by-step explanation:
Subtract
Georgia participated in a sleep study in which scientists found that she fell into REM sleep exactly every 45 minutes while she was asleep. If Georgia was asleep for 6One-half hours (390 minutes), how many periods of REM sleep did she have? A number line going from 0 to 420 in increments of 30. 6 periods 7 periods 8 periods 9 periods
Answers
Answer:
Well the correct answer for this is 8 periods long
Step-by-step explanation:
did this on edg it should be right
Answer:
8 periods is correct
Step-by-step explanation:
can you answer this so i can go to sleep
Answers
Answer:
Step-by-step explanation:
500000(16)
= 8000000
8000000(.44)
= 3520000
35200000/4
= 880000$ for each member
HELP ME FAST!!
4.64 divided by 8=
Answers
Answer:
the answer is 0.58
Step-by-step explanation:
4.64÷8 is that so
It costs $3.45 to buy 3/4 lb of chopped walnuts. What is the unit price for one
pound of chopped walnuts? Show or explain your reasoning. *
Answers
Answer:
Step-by-step explanation:
3.45/(3/4)
3.45/0.75
4.6$ per pound
3.484
+ 17
What’s the answer?
Answers
Answer:
504
Step-by-step explanation:
Answer:
20.484
Step-by-step explanation:
Just add it up, 3.484 plus 17 is equal to 20.484.
3.484
+ 17
-------------
What is the perimeter, in units, of polygon ABCDEF
Answers
Answer:
30
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
The perimeter of the marked polygon is 26 units.
What is a perimeter?Perimeter is the distance around the outside of a shape.
Given is a polygon, ABCDEF,
Using the distance formula, we have,
(P, Q) = √ (x2 – x1)² + (y2 – y1)².
AB = 3 units
BC = 4 units
CD = 3 units
DE = 7 units
EF = 6 units
FA = 3 units
Perimeter = AB+BC+CD+DE+EF+FA = 3+4+3+7+6+3 = 26 units.
Hence, The perimeter of the marked polygon is 26 units.
For more references on perimeters, click;
https://brainly.com/question/6465134
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Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.
How wide and tall will the actual mural be?
Drag and drop the height and width of the actual mural into the boxes.
Mural Height Mural Width
2.5 ft5.5 ft10 ft22 ft
Answers
Answer:
0.42 ft
0.92 ft
Step-by-step explanation:
Width of mural on painting = 5 inches
Height of mural on painting = 11 inches
12 inches of the painting represents 1 foot of the mural
1 inch of the painting represenets [tex]\dfrac{1}{12}[/tex] foot of the mural.
[tex]5\ \text{inches}=5\times \dfrac{1}{12}=0.42\ \text{ft}[/tex]
[tex]11\ \text{inches}=11\times\dfrac{1}{12}=0.92\ \text{ft}[/tex]
The width of the mural is 0.42 ft and height of the mural is 0.92 ft.
The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.
Calculation of the height and width:Since
Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural.
So here the width should be 5 of 1 by 12 should be 0.42 feet
And, the height should be 11 of 1 by 12 should be 0.92 ft.
Hence, The height and width of the actual mural into the boxes is 0.92 ft and 0.42 ft.
learn more about width here: https://brainly.com/question/17397308
WILL MARK BRAINLIEST.
What does the number in the bottom right-hand corner of a two-way frequency table represent?
A= It is the total number of data points in the data set, which is also the maximum of the row totals or the column totals.
B= It is the row total number of data points in the data set, which is also the difference of the row totals or the column totals.
C= It is the column number of data points in the data set, which is also the difference of the row totals or the column totals.
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Answers
Answer:
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Step-by-step explanation:
The number in the bottom right-hand corner of a two-way frequency table represents D. It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
What is a two-way frequency table?When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.
The two-table displays frequencies for two categorical variables in terms of rows and columns.
The number in the bottom right-hand corner of a two-way frequency table represents the total number of data points in the data set, which is also the sum of the row totals or the column totals.
learn more about the two-way frequency table here :
https://brainly.com/question/26096302
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Does (5, 10)make the inequality y ≥ 10x+5 true
Answers
Answer:
It is False.
Step-by-step explanation:
When you substitute the coordinates into the inequality equation :
[tex]y \geqslant 10x + 5[/tex]
[tex]let \: x = 5,y = 10[/tex]
[tex]10 \geqslant 10(5) + 5[/tex]
[tex]10 \geqslant 55 \: (false)[/tex]
Therefore, 10 isn't greater than 55.
[tex]\qquad\quad {:}\longmapsto\sf x=5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf y=10 [/tex]
Write the inequality equation[tex]\qquad\quad {:}\longmapsto\sf y \geqslant 10x+5[/tex]
Substitute the values[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 10 (5)+5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 50+5 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10 \lt 55 [/tex]
[tex]\therefore \sf y \geqslant 10x+5 {\boxed {False}}[/tex]
PLEASEEEEE HELP!!!! 20 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!
Question: What additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem?
A. AB = EG, FH = AC, EF = BC
B. AB = BC, BC =FG, and FG = EG
C. AB = EG, FH = AC, EF = BC
D. BC = EG, FH = EF, AC = BC
Answers
Answer:
NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.
AB = EF, BC = FG, AC = EG
Step-by-step explanation:
According to the SSS Congruence statement, for ∆ABC to be congruent to ∆EFG, all the sides of ∆ABC must be congruent to all the corresponding sides of ∆EFG.
This means that:
AB must be congruent to EF
BC must be congruent to FG
AC must be congruent to EG
Therefore, additional information is needed to prove that triangles ABC and EFG are congruent by the SSS triangle congruence theorem are:
AB = EF, BC = FG, AC = EG
NOTE: NONE OF THE OPTIONS GIVEN IS CORRECT. THIS IS THE CORRECT ANSWER.
Consider the points below. P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
Required:
Find a nonzero vector orthogonal to the plane through the points P, Q, and R.
Answers
Answer: the vector orthogonal is ( 0, 26, -13 )
Step-by-step explanation:
Given that;
P(2, 0, 2), Q(−2, 1, 4), R(7, 2, 6)
PQ = Q - P = (−2, 1, 4) - (2, 0, 2) = (-4, 1, 2)
PR = R - P = (7, 2, 6) - (2, 0, 2) = ( 5, 2, 4)
SO
orthogonal vector = PQ × PR
= ║ i j k
-4 1 2 = i(1×4 - 2×2) + j(5×2 - (-4×4)) + k(-4×2 - 5×1) = 0i + 26j - 13k
5 2 4 ║
= ( 0, 26, -13 )
Therefore the vector orthogonal is ( 0, 26, -13 )
Suppose that a phone that originally sold for $800 and loses 3/5 of its value each year after it is released.
3. Write an equation for the value of the phone, p, t years after it is released.
Answers
Answer:
p=(800)(3/5)^t
Step-by-step explanation:
Answer: 800 - (3/5xt)
Step-by-step explanation:
800 is the base value and you have to multiply 3/5 by t
Simplify the following: *
-4– (-5)
Answers
the answer is
-4-(-5)= 1
Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment Mack receives 2/5 of the profit, Jason Receives 1/4 of the profit, and Yuri receives the rest of the profitWhat is the amount of each person's profit?
Answers
Answer:
The amount of each person's profit is:
Mack
= $1160
Jason
= $725
Yuri
= $1015
Step-by-step explanation:
Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment Mack receives 2/5 of the profit, Jason Receives 1/4 of the profit, and Yuri receives the rest of the profitWhat is the amount of each person's profit?
Step 1
We calculate how much the profit is.
Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment
The profit = 1/5 of Investment
Hence = 1/5 × $14500
Profit = $2900
Step 2
We calculate the amount each of them receives.
Mack receives 2/5 of the profit,
= 2/5 × $2900
= $ 1160
Jason Receives 1/4 of the profit
= 1/4 × $2900
= $725
Yuri receives the rest of the profit
This is calculated as:
$2900 -($1160 + $725)
$2900 - $1885
= $1015
The amount of each person's profit is:
Mack
= $1160
Jason
= $725
Yuri
= $1015
Find the missing number from this Pythagorean triple: 21, 72, _____ .
Answers
Answer:
75
Step-by-step explanation:
a^2+b^2=c^2
plug 21 and 72 for a and b respectively. Once plugged, c will equal 75.
What is the greatest common factor of the terms in the expression 24x + 18xy?
Answers
Answer:
GCF = 6x
Step-by-step explanation:
24x = 2 * 2 * 2 * 3 *x
18xy = 2 * 3 * 3 * x * y
GCF = 2 * 3 *x = 6x
1+6÷5×4
please help
Answers
First 5x4 which is 20
6/20 is 0.3
1+0.3=1.3
I deserve Brainliest for giving you the correct answer and an explanation.
SOLVING STEPS...
CALCULATE 6÷5×4
IT'S 4.8
ADD 1 WITH 4.8
CALCULATE THE SUM...
WE WILL GET THE ANSWER...
SO THE ANSWER IS
[tex]5.8[/tex]
GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...
Which equation has the correct sign on the product?
A. (-8)(-8) = -64
B. 45(-4)= 180
C. (-18)4 = -72
D. 13.3 = -39
Answers
The solution is (3, –2).
Verify the solution. Which true statement appears in your check?
Answers
Answer:-2=-2
Step-by-step explanation: i took the assignment
What is the value of a2+c•(2+b)
when a =3 , b=6 and c=5
Answers
Answer:
46 is the answer
Step-by-step explanation:
Because:
a2 + c(2+b)
3(2) + 5(2+6)
6 + 5(8)
6 + 40
46
Answer:
49
Step-by-step explanation:
a² + c(2+b) = a² + 2c+bc
Expand first.
a² + 2c+bc = 3² + 2(5) + 6×5
Substitute a, b and c with actual values.
3² + 2(5) + 6×5 = 9 + 10 + 30
Evaluate.
9 + 10 + 30 = 49
Simplify.