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astra-53 [7]
2 years ago
12

In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical va

lues in that order with the measures separated by commas.

Mathematics
1 answer:
GrogVix [38]2 years ago
6 0

Answer:112,112,68

Step-by-step explanation:

You have the answer in the picture. You only need S and is 180-Q =180-68= 112, so the answer is 112,112,68

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A company produces and sells 211,600 boxes of t-shirts each year. Each production run has a fixed cost of $400 and an additional
Illusion [34]

Answer:x=46

Step-by-step explanation:

Given

Company Produces and sells 211600 boxes of T-shirt each year

Fixed cost =$ 400

Additional cost = $ 3 per box

storage cost =$ 2

let x be the no of production run

therefore

Holding cost per year =holding\ cost\times average\ holding\ items=2\times \frac{211600}{2x}=\frac{211600}{x}

Yearly\ ordering\ cost=cost\ during\ each\ order\times number\ of\ order\ Placed\ per\ year

yearly ordering cost=400x+3\times \frac{211600}{x}

Total cost C(x)=\frac{211600}{x}+400x+3\times \frac{211600}{x}

differentiate C(x) w.r.t to x we get

\frac{\mathrm{d} C(x)}{\mathrm{d} x}=400-\frac{3\times 211600}{x^2}-\frac{1}{211600}

Put \frac{\mathrm{d} C(x)}{\mathrm{d} x}=0 to get max/min value

400-\frac{211600}{x^2}-\frac{3\times 211600}{x^2}=0

x^2=\frac{211600}{100}

x=\sqrt{2116}

x=46

therefore 46 runs must be performed

5 0
1 year ago
Product A is and 8oz bottle of cough medication that's sells for $1.36. Product B is 16oz bottle of cough medication that costs
zhenek [66]

Answer:

Product B

Step-by-step explanation:

Divide the number of ounces i the bottle by the price of the bottle. Product A has a unit price of $0.17 and Product B has a unit price of $0.20. Therefore Product B has a lower unit price :))

4 0
2 years ago
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of
Scilla [17]

Answer:

x≥38 points

Step-by-step explanation:

Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?

julio has a 24 game basketball season.

he has played 8, it means there are 16 more games to go

therefore=

he has scored 256 nts, wic means there are still 608 points to go .

864-256=608

x is the points he more score per every game.

16x=608

to break the records ,he must score an extra point 1

so 16x≥608

x≥38

8 0
1 year ago
Read 2 more answers
A psychology student wishes to investigate differences in political opinions between business majors and political science major
Veseljchak [2.6K]
The answer is C.................................................
7 0
2 years ago
Read 2 more answers
3) George walks away from his house. He walks 25 km west and then
Romashka-Z-Leto [24]

Answer:

29.15 km

Step-by-step explanation:

Given;

George walks; 25km west and then 15 km south

Resolving the directions to x and y axis;

North and South represent positive and negative y axis.

East and West represent positive and negative x axis respectively.

25km west

Rx = -25 km

15 km south

Ry = -15 km

The resultant displacement from the house is;

R = √(Rx^2 + Ry^2)

Substituting the values;

R = √((-15)^2 + (-25)^2)

R = √(225+625)

R = √(850)

R = 29.15 km

Therefore, he is 29.15 km from house

8 0
2 years ago
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