Equivalent expression for 18x and 9y

John buys 6 shirts. For every shirt you purchase you get one for 30% off. If the normal price for each shirt is $20.00 dollars,

algol [13]

Answer:

78.

Step-by-step explanation:

the reason this is 78 is because you divide 6 by two then get 3. 3*20=60. 30% of 20 is 6. 6*3 is 18 plus 60=78

6 0

3 years ago

A local club is arranging a charter flight to Hawaii. The cost of the trip is $586 each for 80 passengers, with a refund of $

professor190 [17]

Answer:

a) The number of passengers that will maximize the revenue received from the flight is 99.

b) The maximum revenue is $48,609.

Step-by-step explanation:

We have to analyse two cases to build a piecewise function.

If there are 80 or less passengers, we have that:

The cost of the trip is $586 for each passenger. So

$R(n) = 586n$

If there are more than 80 passengers.

There is a refund of $5 per passenger for each passenger in excess of 80. So the cost for each passenger is

$R(n) = (586 - 5(n-80))n = -5n^{2} +400n + 586n = -5n^{2} + 986n$ .

So we have the following piecewise function:

$R(n) = \left \{ {{586n}, n\leq 80 \atop {-5n^{2} + 986n}, n > 80} \right$

The maxium value of a quadratic function in the format of $y(n) = an^{2} + bn + c$ happens at:

$n_{v} = -\frac{b}{2a}$

The maximum value is:

$y(n_{v})$

So:

(a) Find the number of passengers that will maximize the revenue received from the flight.

We have to see if $n_{v}$ is higher than 80.

We have that, for $n > 80$ , $R(n) = -5n^{2} + 986n$ , so $a = -5, b = 986$

The number of passengers that will maximize the revenue received from the flight is:

$n_{v} = -\frac{b}{2a} = -\frac{986}{2(-5)} = 98.6$

Rounding up, the number of passengers that will maximize the revenue received from the flight is 99.

(b) Find the maximum revenue.

This is $R(99)$ .

$R(n) = -5n^{2} + 986n$

$R(99) = -5*(99)^{2} + 986*(99) = 48609$

The maximum revenue is $48,609.

8 0

3 years ago

A carpenter wants to cut an 84 inches long board into two-pieces such that one piece is twice as long as the other piece. Set up

soldi70 [24.7K]

It’s not an equation but the shorter piece would be 28 inches and the longer piece would be 56 inches

7 0

2 years ago

Read 2 more answers

A rectangular piece of paper has a width that is three inches less than it’s length. It is cut in half along a diagonal to creat

mrs_skeptik [129]

Answer:

(Measure ) L+W : 11 and 8 inches.

These L + W measures are of each triangle and when either halved as proven below will show (A): 44inch^2

Step-by-step explanation:

Two congruent triangles of 44 sq inch = base 8 height 11

or base 11 height 8

Finding that both numbers find the same area.

Note for future areas either measure for triangle base + height

8 x 11 or 11 x 8 = 88 when halved its the same answer.

where 7 x 10 = 35

13 x 10 = 65

and so on;

No other number multiplies its length and height to show 44

7 0

3 years ago

Why does the author of "The Think Tank" include Shumaker's admission that he did not think that Azy would be the fastest learner

galben [10]

The answer is C. to show that animals can even surprise experts with their capacity to learn

4 0

3 years ago