5. 15 ÷ 6 2⁄3 = A. 2 1⁄4 B. 2 3⁄4 C. 100 D. 100 1⁄4

How do you graph X>=4y?

OLga [1]

Answer:

$x\geq 4y\\y\leq \frac{x}{4}$

6 0

2 years ago

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

How many cubic centimeters of water can this paper cone cup hold?

blagie [28]

48π cm^3

Step-by-step explanation:

The formula for the volume of a cone is...

$V=\frac{1}{3}\pi r^2h$

We can plug everything we know from the photo into the equation, but note that the picture gives us the diameter, which is 8, instead of the radius. The radius is half of the diameter, so the radius will be 4. Also we will be leaving pi as it is, instead of changing it to 3.14.

$V=\frac{1}{3}*(\pi *4*4*9)$

$V=\frac{1}{3}*(144\pi )$

V = 48π

The paper cone can hold 48π cubic centimeters of water.

3 0

2 years ago

Read 2 more answers

What is the expanded notation for 2,909? Numbers may be used Once,More than once, or not at all.

defon

(2 x 1,000) + (9 x 100) + (9 x 1)
Always check the place values by looking at the number (2,909) and you can figure out what number to multiply it by. Guess and check if you can’t recognize it right away.

3 0

2 years ago

Please answer quick and right

sleet_krkn [62]

Answer:

3.

Step-by-step explanation:

Since it states it needs to be cut into pieces, it's division, so since it's division we do KCF - keep change flip

We keep the first term, then we change the sign to a multiplication sign and flip the numerator and the denominator for the second term, so your equation would be :

6/8 × 4/1

6 times 4 would be 24, then we put 24 over 8, 24/8, - then you just divide 24 by 8 which would be 3. I hope this helps.

4 0

3 years ago