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podryga [215]
4 years ago
15

There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags?

Mathematics
1 answer:
dmitriy555 [2]4 years ago
6 0

Answer:

  1020 raisins

Step-by-step explanation:

The problem tells you the number of raisins is proportional to the number of bags, so there will be "r" raisins in 12 bags:

  r/12 = 680/8 = raisins/bag

  r = (12/8)(680) = 1020

There will be 1020 raisins in 12 bags.

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If I bought an outfit for $24.50 and sales tax is 8%, how much will I have to pay in all? *
aleksley [76]

Answer:

26.46

Step-by-step explanation:

24.50 x .08 = 1.96 (this is our sales taxes)

1.96 + 24.50 = 26.46

8 0
3 years ago
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Leokris [45]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
The Spanish club decides to sell school pins $1.50 each and T-shirts at $6.50 each for a fundraiser. They projects that they wil
Firdavs [7]
Ok so 1.5 is pins and 6.5 is t shirts so you multiply 1.5 x 20 and 6.5 x 5 so for pins= $30 and T-shirts= $32.50 and you times both those numbers by 3 so for pins you get $90 and T-shirts you get $97.50. Finally you add them and get $187.5 so the answer is $187.5 for the project.
5 0
4 years ago
Angles. Maybe using law of sines
uranmaximum [27]

Answer:

(a) 5.36°

(b) β = 84.64° -θ

(c) d = 58.36·sin(84.64° -θ)/sin(θ)

(d) see the attached table

Step-by-step explanation:

(a) The lean angle can be found from the definition of the sine function:

sin(α) = Opposite/Hypotenuse = (5.45 m)/(58.36 m) ≈ 5.36°

__

(b) The angle β does not depend on d; it only depends on the angle θ. Since the sum of angles of a triangle is 180°, we have ...

θ + (90°+α) + β = 180°

β = 180° -90° -5.36° -θ

β = 84.64° - θ

__

(c) The law of sines tells you ...

d/sin(β) = 58.36/sin(θ)

Using the above expression for β and multiplying by sin(β), we get ...

d = 58.36·sin(84.64° -θ)/sin(θ)

___

This can be simplified, if desired, to ...

d = 58.10·cot(θ) -5.45

4 0
3 years ago
The marginal cost function of producing q mountain bikes is 600/0.3q+5.
wariber [46]
MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit) 
So we coordinate to get Cost work 
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining. 
We add that to settle cost 2059.23+2200=4259.24 
So 4259.24 is the cost. 
Income from offering the bicycle is 205*30=6150 
and Profit=Revenue-Cost 
6150 - 4259.24=1890.76 
Presently Marginal Profit 
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation. 
Marginal Profit=Marginal Revenue-Marginal Cost 
Marginal Cost=600/0.3q+5. 
We should connect to 31 to get 41.958 
Revenue= 205q 

Marginal rev=205 
Marginal Profit = 205-41.958=163.042

4 0
3 years ago
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