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3 years ago

What is the equivalent fractions for 20/50 and 3/11?

1 answer:

6 0

Equivalent fractions for 20/50 => <span>2/5, 4/10, 6/15,and so on .....
=> 20/50 = 2/5
=> 20/50*2 = 4/10
=> 20/50*3 = 6/15

</span>equivalent fractions for 3/11 => <span>3/11, 6/22, 9/33, 12/44 and so on ...
=> 3/11* 2 = 6/22
=> 3/11* 3 = 9/33
=> 3/11* 4 = 12/44

Hope it helps !!!
</span>

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Pearl's Biking Company manufactures and sells bikes. Each bike costs £40 to make, and the company's fixed costs are £5000. In ad

____ [38]

Answer:

R(x) =300·x - 2·x²

C(x) = £5000 + £40 × x

The break even points are 23.47 and 106.53 or 23 and 107 bikes

Step-by-step explanation:

Given that the price function P(x) = 300 -2·x

Cost per bike = £40

The revenue function R(x) is given by bike price × total number of bikes manufactured and sold

∴ R(x) = P(x)×x = (300 - 2·x)×x = 300·x - 2·x²

The company's cost function, C(x) is Fixed cost + cost to produce each bike × total number of bikes produced

∴ C(x) = £5000 + £40 × x

The break even point is given by the relation;

Total revenue - total cost = 0

That is, break even point is R(x) - C(x) = 0

300·x - 2·x² - (5000 + 40·x) = 0

-2·x²+260·x-5000 = 0 or 2·x²- 260·x + 5000 = 0

Factorizing, we have;

(x - (65 -5√69))(x - (65 +5√69))

Solving gives x = 23.47 or 106.53

Therefore, the break even points are 23.47 and 106.53.

That is the company is profitable when they produce less than 23 bikes or more than 107 bikes.

3 0

3 years ago

A line passes through the origin and the point

beks73 [17]

Answer:

Y=4+8

Step-by-step explanation:

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3 years ago

HELP please!!<br> “Find the volume of the sphere rounded to the nearest hundredth

zvonat [6]

Answer:

904.32 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.

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3 years ago

The angle 01 is located in Quadrant III, and cos(01) = -30/13

larisa [96]

Answer:

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

To calculate sin(01), we will apply the trigonometry expression as shown below;

cos(01) = -30/13

According to SOH CAH TOA;

cos(01) = adjacent/hypotenuse = -30/13

sin(01) = opposite/ hypotenuse

To get the hypotenuse, we will use the pythagoras theorem

$hyp^{2}=opp^{2}+adj^{2} \\opp^{2}= hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\$

sin(01) = 32.70/13

Since sin is also negaitve in the third quadrant, the value of

sin(01) = -32.70/13

$01 = cos^{-1}- 30/13$

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3 years ago

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MakcuM [25]

Answer:

6562331215

Step-by-step explanation:

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3 years ago