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3 years ago

Which expression could be modeled using the diagram?

Mathematics

2 answers:

vova2212 [387]3 years ago

5 0

Answer:

4 divided by one-fifth

Step-by-step explanation:

A trick with fractions is if you want to find the numerical value of the fraction divide the Numerator by the denominator and you will get a decimal value that is easier to work with, I hope this helps! ^<^

vaieri [72.5K]3 years ago

5 0

Answer:

4/5 divided by 1/5

Step-by-step explanation:

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A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study

Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write $R=PC$ .

Per price increase is $20. So four price increase is $ $20*4=$80$ . Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, $4*2=8$ customers are reduced. Hence, total customers is $30-8=22$ .

So Total Revenue is:

$R=180*22=3960$

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

$R=(100+2x)(30-2x)=-40x^{2}+400x+3000$

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as $x=-\frac{b}{2a}$ , where a is the coefficient of $x^{2}$ and b is the coefficient of x. So we have,

$x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5$

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be $5*20=100$ . So the price that gives the greatest revenue is $100+100=200$ .

ANSWERS:

A. $3960

B. $R=-40x^{2}+400x+3000$

C. $200

4 0

3 years ago

PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.

Readme [11.4K]

Answer:

a. b=4

Step-by-step explanation:

$\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}$

From the attached triangle drawn below:

NL=20, LM=3b, $\angle L=x^\circ$

$\sec x =\dfrac{20}{3b}$

Since we are told that:

$\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4$

The correct option is A.

8 0

3 years ago

If there are 680 calories in 8 oz of ground beef, how many

irina [24]

Answer:

3/8ths of 680 kcal or 3 x 85 = 255 kcal.

Step-by-step explanation:

3/8ths of 680 kcal or 3 x 85 = 255 kcal.

6 0

2 years ago

Read 2 more answers

You invested a total of $60,000 in 2 funds earning 8.5% and 10% simple interest. During 1 year, the 2 funds earned a total of $5

maksim [4K]

The amount invested in the fund earning 8.5% is $40,000 whereas $20,000 was invested in the fund earning 10%

What is the return on each fund?

The return on each fund is determined as the amount invested multiplied by the interest rate on the fund

;Let X be the amount invested at 8.5%

Interest=8.5%*X=0.085X

The interest of the fund invested at 10%=($60,000-X)*10%

The interest of the fund invested at 10%=$6000-0.10X

Total interest=0.085X+6000-0.10X

Total interest earned during year 1=$5,400

5400=0.085X+6000-0.10X

5400=6000-0.015X

0.015X=6000-5400

0.015X=600

X=600/0.015

X=$40,000(amount invested at 8.5%)

amount invested at 10%=$60,000-$40,000

amount invested at 10%=$20,000

Find out more about simple interest on:https://brainly.in/question/37840965

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7 0

2 years ago

What is the following product?

Ivenika [448]

Answer:

The third one.

Step-by-step explanation:

3 0

3 years ago