Answer:for .4 it is c=6
Step-by-step explanation:
first you do 6+3=9 then 3+5=8 then add 9+8=17
PLEASE ANSWER WITHIN 17 HOURS
(1) The length of side BC is 9 cm.
(2) The length of side PQ is 5.385 m.
(3) The length of side UW is 6.71 mm.
(4) The length of side XZ is 14.32 mm.
(5) The length of side EF is 6 cm.
What is the missing lengths of the right triangle?The missing lengths of the right triangle is calculated by applying the Pythagoras theorem formula.
(1) The length of side BC is calculated as;
BC = √ (15² - 12² )
BC = 9 cm
(2) The length of side PQ is calculated as;
PQ = √ (5² + 2² )
PQ = 5.385 m
(3) The length of side UW is calculated as;
UW = √ (9² - 6² )
UW = 6.71 mm
(4) The length of side XZ is calculated as;
XZ = √ (14² + 3² )
XZ = 14.32 mm
(5) The length of side EF is calculated as;
EF = √ (10² - 8² )
EF = 6 cm
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In the figure, ABCF is a rhombus and BCDE is a trapezium. ED//BC, BCF=38 degrees and BED= 79 degrees
Angle BCF = 38 degrees
Angle BED = 79 degrees
Angle BDE = 63 degrees
Angle B = 79 degrees
Angle C = 79 degrees
Angle ACF = 38 degrees
Angle F = 104 degrees.
We have,
As ED//BC,
We can say that angle EDB = angle BCF = 38 degrees.
Also, in rhombus ABCF, angles BCF and CAF are equal,
So CAF = 38 degrees.
In triangle BED,
We have angle BED = 79 degrees and angle EDB = 38 degrees.
Angle BDE = 180 - (79 + 38) = 63 degrees.
In triangle BDE,
We also has angle B = angle EBD = 180 - (63 + 38) = 79 degrees.
In trapezium BCDE,
Angles B and C are equal, so angle C = 79 degrees.
Finally, in rhombus ABCF, angles CAF and ACF are equal,
So ACF = 38 degrees.
Therefore,
Angles A and C of triangle ACF equal 38 degrees each, and angle F is:
= 180 - (38 + 38)
= 104 degrees.
Thus,
angle BCF = 38 degrees
angle BED = 79 degrees
angle BDE = 63 degrees
angle B = 79 degrees
angle C = 79 degrees
angle ACF = 38 degrees
angle F = 104 degrees.
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The complete question.
In the figure, ABCF is a rhombus and BCDE is a trapezium. ED//BC, BCF=38 degrees, and BED= 79 degrees.
Find the following:
Angle BCF
Angle BED
Angle BDE
Angle B
Angle C
Angle ACF
Angle F
A skier can purchase a daily or season pass.
The daily pass costs $48 per day and included
the price of ski rentals. The season pass costs
$190 plus a daily fee of $10 to rent the skis.
How many days would a skier have to go skiing
in order for both options to cost the same?
A.
5 days
C. 240 days
D. 10 days
B.
3 days
We know that the skier would have to go skiing for 5 days in order for both options to cost the same.
To find out how many days a skier would have to go skiing for both options to cost the same, we need to set up an equation. Let's use "d" to represent the number of days the skier goes skiing.
For the daily pass option:
Total cost = $48 x d
For the season pass option:
Total cost = $190 + ($10 x d)
Now we can set up the equation:
$48 x d = $190 + ($10 x d)
Simplifying this equation, we get:
$38 x d = $190
Solving for "d", we get:
d = 5
Therefore, the skier would have to go skiing for 5 days in order for both options to cost the same.
So the answer is A. 5 days.
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Write an equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given,
y-intercept 4 and slope -1/5
Now y=-1/5x+4
Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
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To decide if his class would take a quiz today, Mr. Chiu will flip a coin three times. If all three results are heads or all three results are tails, he will give the quiz. Otherwise, his students will not be tested. What is the probability that his class will take the quiz?
a. 1/8.
b. 1/4.
c. 1/2.
d. 1.
The probability that Mr. Chiu's class will take the quiz is the probability of getting all heads or all tails, which is 1/4. Therefore, the correct option is b. 1/4.
To decide if his class would take a quiz today, Mr. Chiu will flip a coin three times. The possible outcomes of the three coin flips are HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.
If all three results are heads (HHH) or all three results are tails (TTT), Mr. Chiu will give the quiz. Otherwise, his students will not be tested.
There are 2 out of the 8 possible outcomes in which all three results are heads or all three results are tails. Therefore, the probability of getting all heads or all tails is 2/8, which simplifies to 1/4.
The probability of not getting all heads or all tails is the complement of the probability of getting all heads or all tails. Since the sum of the probabilities of all possible outcomes must be 1, the probability of not getting all heads or all tails is 1 - 1/4 = 3/4.
Thus, the probability that Mr. Chiu's class will take the quiz is the probability of getting all heads or all tails, which is 1/4. Therefore, the correct option is b. 1/4.
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very unsure of this answer so pls help asap if you can!!
The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.
What is a parallelogram?In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.
In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:
(Line segment PR)/2 = (Line segment SQ)/2
Line segment PR = Line segment SQ
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context switching is required by all preemptive algorithms.
true/false
The given statement "context switching is required by all preemptive algorithms " is False.
Context switching is not required by all preemptive algorithms. Preemptive algorithms allow the operating system to interrupt the currently executing process and switch to another process.
Context switching involves saving the state of the currently running process and restoring the state of the next process to be executed. While context switching is a common mechanism in preemptive scheduling algorithms, there are non-preemptive algorithms that do not require context switching as they allow processes to run until they voluntarily release the CPU.
So, the statement that context switching is required by all preemptive algorithms is false.
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A hunter walked into a bush on a bearing 020 to reach a hut (h) 600m from his home (a). he then walked on a bearing of 115 to a trap position (t). find to the nearest whole number; i. the distance of the trap from his home ii. the bearing of the trap from his home
The distance of the trap from the hunter's home is approximately 600 meters, and the bearing of the trap from the hunter's home is approximately 22.15°.
To find the distance of the trap from the hunter's home and the bearing of the trap from his home, we can use the given bearings and distances. By applying trigonometry and vector addition, we can calculate these values.
To determine the distance of the trap from the hunter's home, we can break down the problem into two components: the north-south (N-S) and east-west (E-W) directions.
i. Distance of the trap from the hunter's home:
Using trigonometry, we can find the N-S and E-W distances separately.
The N-S distance is given by the formula: NS = distance * sin(bearing).
NS = 600 * sin(115°) ≈ 600 * 0.925 = 555 meters (rounded to the nearest whole number).
The E-W distance is given by the formula: EW = distance * cos(bearing).
EW = 600 * cos(115°) ≈ 600 * 0.380 = 228 meters (rounded to the nearest whole number).
Using these N-S and E-W distances, we can apply vector addition to find the total distance from the hunter's home to the trap.
Total distance = sqrt(N\(S^2\) + E\(W^2\)) ≈ \(\sqrt{(555^2 + 228^2)}\) ≈ \(\sqrt{(308025 + 51984) }\)≈ \(\sqrt{(360009)}\) ≈ 600 meters (rounded to the nearest whole number).
ii. Bearing of the trap from the hunter's home:
The bearing of the trap from the hunter's home is the angle measured clockwise from the north direction.
To find this bearing, we can use the formula: bearing = arctan(EW / NS).
Bearing = arctan(228 / 555) ≈ 22.15° (rounded to two decimal places).
Therefore, the distance of the trap from the hunter's home is approximately 600 meters, and the bearing of the trap from the hunter's home is approximately 22.15°.
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A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
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if a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces?
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
What is probability ?Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.
Here,
X υ N (22,1)
Probability that basketball will weigh between 20.5 and 23.5
is:
=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1 ]
=> P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)
=> P(20.5 < x < 23.5) = 0.866
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
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what is the value of x? im stuck on this question
Angles (2x + 20)° and (3x + 10)° are supplementary, that is,
(2x + 20) + (3x + 10) = 180
(2x + 3x) + (20 + 10) = 180
5x + 30 = 180
5x = 180 - 30
x = 150/5
x = 30
Tell what the value of each point would be if
Answer:
if what? come on
Step-by-step explanation:
Use the rule x + 7 to find the missing number in the table.
X Y
1 8
6 13
8 15
10 17
12
The missing number is
Step-by-step explanation:
Given:
Rule, x + 7.Table values.The rule is telling us to add 7 to the given value of x.
Add 7 to 12.
\(7 + 12 = 19\)
The missing number is 19.
A man needed to sell a car. He priced it at $2,700 the first day. The second day he reduced the price by 12%. What was the price of the car after this reduction?
After reducing the price by 12%, the price of the car would be $2,376. To find the price of the car after a 12% reduction, we can calculate 12% of the original price and subtract it from the original price.
To find the price of the car after the 12% reduction, we need to calculate 12% of $2,700 and subtract that amount from the original price. First, we find 12% of $2,700 by multiplying 0.12 (12% expressed as a decimal) by $2,700:
12% of $2,700 = 0.12 * $2,700 = $324
Next, we subtract $324 from the original price of $2,700:
$2,700 - $324 = $2,376
Therefore, after the 12% reduction, the price of the car would be $2,376. This reduction reflects a decrease in price from the original value, providing potential buyers with a discounted price for the car.
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What is 7 less than y
In math
Answer:
The algebraic expression is "y - 7".
Step-by-step explanation:
"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".
y-7
Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.Hope it helps.
Do comment if you have any query.
When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F.
What was the temperature when Ava woke up?
Answer:
the awnser is -3
Step-by-step explanation:
Sam measured the height of a window frame as 5.23 feet, but the actual height was 6 feet. What is the percentage of error in Sam's measurement?
Answer:
Sam is 13% wrong.
Step-by-step explanation:
The answer is 13% because 5.23 is 87% of 6 and 100% minus 87% is 13%.
P.S Can I have brainliest?
Answer:
12.83%
Step-by-step explanation:
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what is 4 7/10 × 1/2 plz help me I don't know it please im thankful to whoever help me thank you so much
Answer:
2 7/20
Step-by-step explanation:
4 7/10 × 1/2 = 47/10 × 1/247/10 × 1/2 = 47/2047/20 = 2 7/20Therefore, 4 7/10 × 1/2 = 2 7/20.
Answer:
47/20
Step-by-step explanation:
Converting 4 7/10 into improper fraction:
((4*10)+7)/10
= (40+7)/10
= 47/10
Multiply 47/10 by 1/2
= 47/(10*2)
= 47/20
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Harper, Inc., acquires 40 percent of the outstanding voting stock of Kinman Company on January 1, 2020, for $210,000 in cash. The book value of Kinman’s net assets on that date was $400,000, although one of the company’s buildings, with a $60,000 carrying amount, was actually worth $100,000. This building had a 10-year remaining life. Kinman owned a royalty agreement with a 20-year remaining life that was undervalued by $85,000.
Kinman sold inventory with an original cost of $60,000 to Harper during 2020 at a price of $90,000. Harper still held $15,000 (transfer price) of this amount in inventory as of December 31, 2020. These goods are to be sold to outside parties during 2021.
Kinman reported a $40,000 net loss and a $20,000 other comprehensive loss for 2020. The company still manages to declare and pay a $10,000 cash dividend during the year.
During 2021, Kinman reported a $40,000 net income and declared and paid a cash dividend of $12,000. It made additional inventory sales of $80,000 to Harper during the period. The original cost of the merchandise was $50,000. All but 30 percent of this inventory had been resold to outside parties by the end of the 2021 fiscal year.
Required:
Prepare all journal entries for Harper for 2020 and 2021 in connection with this investment. Assume that the equity method is applied. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Do not round intermediate calculations. Round your final answers to the nearest whole number.)
it requires a detailed analysis of multiple transactions and the preparation of journal entries. This type of task is better suited for an accounting professional who can thoroughly review the provided information and accurately apply the relevant accounting principles.
However, I can provide a general overview of the journal entries that may be required based on the information given:
January 1, 2020:
Debit: Investment in Kinman Company (40% of cash paid)
Credit: Cash (Amount paid for the acquisition)
Recording Equity in Earnings for 2020:
Debit: Investment in Kinman Company (40% of net loss)
Debit: Investment in Kinman Company (40% of other comprehensive loss)
Credit: Equity in Earnings of Kinman Company
December 31, 2020:
Debit: Investment in Kinman Company (40% of dividend received)
Credit: Dividend Income
January 1, 2021:
Debit: Investment in Kinman Company (40% of additional investment)
Credit: Cash
Recording Equity in Earnings for 2021:
Debit: Investment in Kinman Company (40% of net income)
Credit: Equity in Earnings of Kinman Company
December 31, 2021:
Debit: Investment in Kinman Company (40% of dividend received)
Credit: Dividend Income
Please note that the above entries are a general guideline and may not capture all the necessary transactions. It is advisable to consult with an accounting professional or refer to the specific accounting standards applicable in your jurisdiction for a more accurate and comprehensive answer.
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Which three measurements could be the lengths of the sides of a triangle?
A:25 feet, 30 feet, 60 feet
B:40 feet, 60 feet, 70 feet
C:40 feet, 175 feet, 220 feet
D:80 feet, 150 feet, 230 feet
Answer:
Choice B
Step-by-step explanation:
For a triangle to be true, the longest side has to be shorter than the two shorter sides combined. The only answer that fits this is choice be. 70<40+60
Four grade-levels need equal time for indoor recess, and the gym is
available for three hours.
a. How many hours of recess will each grade level receive? Draw a
picture to support your answer.
Answer:
Each grade level would receive 45 minutes of gym time
Step-by-step explanation:
Just divide 3 by 4 resulting in 0.75. Then multiply that by the number of minutes (60) and your result is 45 minutes per class.
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List three sides to a right triangle. Explain how you can use the Pythagorean theorem to know that your three sides will create a right triangle.
Answer:
1. the three sides to a right triangle is hypotenuse, opposite, and adjacent.
2. If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Step-by-step explanation:
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11. Twenty percent of what number is 48?
Answer:
240
Step-by-step explanation:
a bucket contains 512 gallons of water. water spills from the bucket so that only 5 pints remain. how many pints of water spill from the bucket?
The given problem states that a bucket contains 512 gallons of water. Water spills from the bucket so that only 5 pints remain. We need to find out how many pints of water spill from the bucket. The first step towards the solution of the problem is to convert 512 gallons to pints, which is given below;
1 gallon = 8 pints512 gallons = 8 × 512 pints = 4096 pints. Now, we know that 5 pints of water are remaining after the spill. Hence, the total water that has spilled from the bucket would be;4096 - 5 = 4091 pints. Therefore, 4091 pints of water would have spilled from the bucket.
To solve the given problem, we need to convert gallons to pints, which is given below;1 gallon = 8 pints512 gallons = 8 × 512 pints = 4096 pints. Now, we know that only 5 pints of water remain in the bucket. Hence, we need to find out the total amount of water that has spilled from the bucket. To find out the total amount of water spilled, we need to subtract the remaining water from the initial water, which is given below;4096 - 5 = 4091 pints. Therefore, 4091 pints of water would have spilled from the bucket. Hence, t 4091 pints of water.
It can be concluded that if a bucket contains 512 gallons of water, and water spills from the bucket so that only 5 pints remain, then 4091 pints of water would have spilled from the bucket.
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What are the coordinates of point R?
Write your answer as an integer or decimal to the nearest 0. 5
The coordinates of point R as an integer or decimal to the nearest 0. 5 is (-1, 4.5)
The coordinates indicate the position of a point in the 2D coordinate plane relative to the origin The x-coordinate of a point is its perpendicular distance from the y-axis measured along the x-axis. The y-coordinate of a point is its perpendicular distance from the x-axis measured along the y-axis.
First the The coordinates of R
coordinates of the x-axis position of R from the x-axis is -1
The coordinate of the y-axis position from the y-axis is 4.5
Coordinates of the point R can be written as (x, y)
x = -1 , y = -4.5
Coordinates of point R = ( -1, 4.5 )
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The question is incomplete the complete question is :
What are the coordinates of point R?
Write your answer as an integer or decimal to the nearest 0. 5
If you substitute 12 2x for y in the second equation, how is the resulting equation written in standard form?
The resulting equation written in standard form is 16x² - 22x + 6 = 0.
What is equation in standard form?Quadratic Equation in Standard Form: ax² + bx + c = 0
a, b and c are known values. a can't be 0.
"x" is the variable or unknown (we don't know it yet).
The "solutions" to the Quadratic Equation are where it is equal to zero.
They are also called "roots", or sometimes "zeros"
We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)
Or we can Complete the SquareOr we can use the special Quadratic Formula:Quadratic Formula: x = [ -b (+-) √(b² - 4ac) ] / 2a, Just plug in the values of a, b and c, and do the calculations.Calculation for the given equation-
Now, y=-16x²+24x+6
Substitute, y = 12+2x in y = -16x²+24x+6.
=> 12+2x = -16x²+24x+6
=> 16x²-24x-6+12+2x = 0
=> 16x²-22x+6 = 0
Therefore, the quadratic equation given in the standard form is 16x²-22x+6 = 0.
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The complete question is-
The two equations are given below;
Y = 12 + 2x linear equation
Y = -16x² + 24x + 6 quadratic equation
If you substitute 12 + 2x for y in the second equation how is the resulting equation written in standard form?
Zen Inc. manufactures two types of products, the G1 and the T1 model airplane. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work 7-hour shifts. On an average, to produce a G1 model, Zen Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T1 models as G1 models (this is the product mix). The company operates five days per week and makes a net profit of $130 on the G1 model, and $150 on the T1 model. Zen Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. If the numbers of G1 and T1 products produced each week are denoted as G and T respectively, the function that describes Zen, Inc.’s sales product mix for a week is?
Each model should be produced on a weekly basis to maximize net profit is $75,900.
What is Net profit?
In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.
As given,
Number of products sold:
T ≥ 1.5G
Maximize Profit Z = 150T + 130G
Labor Constraint:
Labor hours Available:
Production Department:
Number of labor hours available per day = 58 × 7 = 406
Number of days in a week = 5
Number of lobor ours available per week = 406 × 5 = 2030
Assembly Department:
Number of labor hours available per day = 25 × 7 = 175
Number of days in a week = 5
Number of labor hours available per week = 175 × 5 = 875.
Labor hours Required:
Labor hours required for G1 model:
Labor hours required at Production department = 3.5G
Labor hours required at assembly department = 2G
Labor hours required for T1 model:
Labor hours required at Production department = 4T
Labor hours required at Assembly department = 1.5T
Total labor hours required at Production department = 3.5G + 4T
Total labor hours required at Assembly department = 2G + 1.5T.
Constraint:
Labor hours required ≤ Labor hours Available.
Production department Labor constraint
3.5G + 4T ≤ 2030
Assembly department Labor constraint:
2G + 1.5T ≤ 875
The function:
Maximum Profit Z = 150T +130G
Constraint:
3.5G +4T ≤ 2030
2G + 1.5T ≤ 875
T ≥ 1.5G
Suppose that for example:
10.5G +12T = 6090
16G + 12T = 7000
Solve both equations simultaneously,
5.5G = 7000 - 6090
5.5G = 910
G = 910/5.5
G = 363
Since, T > G
Hence,
T = 363,
G = 165
Calculate Profit:
150T + 130G = 150 × 363 + 130 × 165
= 54450 + 21450
= 75900
Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.
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Solve x. 16.8 = x + 2.3
Answer: 14.5
Step-by-step explanation:
16.8 = x + 2.3
x + 2.3 = 16.8 = x + 2.3 - 2.3 = 16.8 - 2.3
= 14.5
Answer:
The solution to the equation 16.8 = x + 2.3 is x = 14.5.
Step-by-step explanation:
The given equation is a simple linear equation of one variable.
A linear equation is an equation that can be written in the form:
ax + b = 0 where x is the variable, a and b are constants, and a is not equal to 0.Linear equations are called linear because the variables appear only in the first power (i.e., degree 1), and the equation represents a straight line when graphed in two dimensions.
This is a linear equation in one variable.
To solve for x, we need to find x on one side of the equation. We can do this by subtracting 2.3 from both sides of the equation:
16.8 - 2.3 = x
Simplifying the left-hand side, we get:
14.5 = x
Therefore, the solution to the equation 16.8 = x + 2.3 is x = 14.5.
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Sarah has four sisters and three brother. a) what fraction of her siblings are boys? b) what fraction of her siblings are girls? c) if her parents have another baby boy, what fraction of her siblings are boys now?
The correct answer is a) The fraction of Sarah's siblings who are boys is 3/7.b) The fraction of Sarah's siblings who are girls is 4/7.
c) If her parents have another baby boy, the fraction of her siblings who are boys becomes 4/7.
a) To determine the fraction of Sarah's siblings who are boys, we divide the number of brothers by the total number of siblings. Sarah has three brothers, so the fraction of her siblings who are boys is 3/7.
b) Similarly, to determine the fraction of Sarah's siblings who are girls, we divide the number of sisters by the total number of siblings. Sarah has four sisters, so the fraction of her siblings who are girls is 4/7.
c) If Sarah's parents have another baby boy, the number of brothers would increase to four, while the total number of siblings remains the same. So, the fraction of her siblings who are boys would become 4/7.
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M is the midpoint of the segment below.
Find AM.