Rosario paid $2.50 for 3 pounds of apples. Select all of the rates that are equivalent to the rate Rosario paid.

A carpet cleaning business has 100 customers when they charge $125 for a cleaning. Research shows that every $5 reduction in pri

Dennis_Churaev [7]

Since a $5 decrease in price increases customers by 20 we can say that we have two points:

(125,100) and (120,120), from these we can find the slope or rate of change of customers as a function of price...

m=20/-5

m=-4

m=-4

c(p)=-4p+b, now we can use (125,100) to solve for b

100=-4(125)+b

100=-500+b

600=b, so our number of customers as a function of price is:

c(p)=600-4p

Revenue will simply be the number of customers times the price charged per customer...or p*c(p):

r(p)=600p-4p^2

We can find price that creates maximum revenue by finding when the derivative is equal to zero...

dr/dp=600-8p

dr/dp=0 only when

0=600-8p

8p=600

p=75

So the price that maximizes revenue is $75.

3 0

3 years ago

Read 2 more answers

I’am between 750 and 850. I have 3 ones and no tens.

il63 [147K]

Maybe something like 811.1?

7 0

4 years ago

A Japanese bullet train recently maintained an average speed of 317.5 km/h for a trip that lasted 3h 15 min.

Paha777 [63]

A. (317.5 km/h) * (3.15) = 1,000.125 km

4 0

3 years ago

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink

ddd [48]

Answer:

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

Step-by-step explanation:

Let, the company make x liters of drink A

The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .

Given drink A contains 20% real fruit.

Therefore x liters of drink A contains $=\frac{20}{100}\times x$ liters $=\frac{x}{5}$ liters real fruit.

Drink B contains 5% real fruit juice.

(80+x) liters of drink B contains $=\frac{5}{100}\times (80+x)$ liters $=\frac{80+x}{20}$ liter real fruit.

The company used 56.5 liters of real fruit juice to make Drink A and Drink B.

According to the problem,

$\frac{80+x}{20}+\frac{x}{5}= 56.5$

$\Rightarrow \frac{80+x+4x}{20}=56.5$

⇒80+5x = 56.5×20

⇒80+5x=1130

⇒5x=1130-80

⇒5x=1050

$\Rightarrow x=\frac{1050}{5}$

⇒x=510

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

4 0

3 years ago

Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green

IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A) 2/9

5.D) 64%

Step-by-step explanation:

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = $\frac{8_C_1}{30_C_1}$

P(G) = $\frac{8}{30} = \frac{4}{15}$

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= $\frac{5_C_2}{10_C_2} = \frac{10}{45}$

⇒ P(R)= 2/9

5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%

3 0

4 years ago