A store uses the expression -2p+ 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere
from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue =
price x number of backpacks.)
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

Answer:

(8, -5)

Step-by-step explanation:

When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).

Answer:

Y = 3/4 X -2

Step-by-step explanation:

Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.

Answer:

x   5  2  -1  -7  -10   1    -19

y   10 4  8   6  20  24  32

Step-by-step explanation:

Hope this helps!

This is for the x section   5  2  -1  -7  -10   1    -19

This is for the y section   10 4  8   6  20  24  32

Correct me if i'm wrong

Answer:

[tex]Area=25\,\,in^2[/tex]

Step-by-step explanation:

The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".

Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).

We use the other information provided to represent the rectangle's with (y) in terms of "x" :

length + width = 10 inches

x + y = 10

Therefore,   y = 10 - x

Now we use this expression for "y" in the product for the area;

[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]

Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.

Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]

is given by:

[tex]x_{vertex}=-\frac{b}{2a}[/tex]

which in our case where "a" = -1 and "b" = +10, gives:

[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]

Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:

[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]

Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

Answer:

a. X = (25.92 - 2.57) ÷ 5

Step-by-step explanation:

shld be a divide sign instead of a equal sign before 5

Answer: Plan B

Step-by-step explanation:

First you would find out how much they have to pay the monthly fee in 5 months. Plan A pays $50 in 5 months and Plan B pays $30 in 5 months

Then you find he amount of money that they need to pay for a hundred texts. Plan A spends $25 and Plan B spends $35 .

Then you add the numbers together and Plan A you would pay $75 and Plan B you would spend $65

Answer:

732421875

Step-by-step explanation:

Since the given number is divisible by 3 and multiple of 5, it must end with 5 and sum of its digits divisible by 3

Only option 3 satisfies the condition described above:

Answer:

should look like this

Step-by-step explanation:

sorry for the messiness was a quick sketch

Answer: Mary is cheaper than mike

Step-by-step explanation:

Hopes this Helps

Answer:

B

Step-by-step explanation:

The farmer plants 195 rows of beets and has 25 beet plants left over

Answer:

The farmer plants 195 rows of beets and has 25 beet plants left over. The R next to 195 means " remainder" so had acquired an answer which was 195 with a remainder of 25. In conclusion, The farmer plants 195 rows of beets and has 25 beet plants left over.

Step-by-step explanation:

Step-by-step explanation:

ETA ES LA FÓRMULA:

x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6

Answer:

9(3+4)

Step-by-step explanation:

27+36

Factor out 9

9*3 + 9*4

9(3+4)

Answer:

9(3+4)

Step-by-step explanation:

First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

Factors of 27: 1, 3, 9, 27

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.

Now, find the equivalent expression.

27+36

Distribute out a 9. Divide both numbers inside the parentheses by 9.

9(27/9+36/9)

9(3+4)

Answer:

The answer is option 2.

Step-by-step explanation:

Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.

By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.

Answer:

Answer:

0.166666667

Step-by-step explanation:

to convert a fraction to a decimal, you divide the numerator (1) by the denominator (6)

Answer:

46

Step-by-step explanation:

44+x=90

x=46

Answer:

46 degrees

Step-by-step explanation:

When two angles are complementary, their measures must add up to 90 degrees. Therefore:

a+b=90

44+b=90

b=90-44

b=46 degrees

Hope this helps!

Answer:

Step-by-step explanation:

Given: AB║DE and C is the midpoint of BD.

To prove: C is the midpoint of A

                   Statements                       Reasons

1). AB║DE                                   1). Given

2). BC ≅ CD                               2). Point C is the midpoint of BD

3). m∠B ≅ m∠D                         3). Interior alternate angles

4). m∠ACB ≅ m∠DCE               4). Vertical angles

5). ΔABC ≅ ΔDEC                     5). ASA property of congruence

6). AC ≅ EC                               6). ΔABC ≅ ΔDEC

7). AC = [tex]\frac{1}{2}(\text{AE})[/tex]                            7). AC ≅ EC

Answer:

1.1

Step-by-step explanation:

7.2-6.1

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

Answer:

1,178 cubic feet

Step-by-step explanation:

volume of cylinder is given by following formula

volume = [tex]\pi r^2l[/tex]

where r is the radius for cylinder and l is the height of cylinder.

____________________

given

diameter of cylinder = 10 feet

radius is half diameter

thus, radius = diameter/2 = 10/2 = 5 feet

height of the cylinder = 15 feet.

[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]

Thus, volume of cylinder is 1,177.5 cubic feet

volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.

Answer:

26.25 in³, y = 15x

Step-by-step explanation:

2. Volume is multiplying the length, width, and height of a rectangular prism together.

Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5

= 26.25 in³

3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:

y = 15x

Hope this helps :)

Answer:

20 %

Step-by-step explanation:

four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts

P(red) = number of red shirts / total

          = 2/10

          = 1/5

           =20 %

Answer:

10%

Step-by-step explanation:

4 blue

2 green

2 gray              

1 white

1 red

4 + 2 + 2 + 1 + 1 = 10

each t-shirt = 10 percent

so 1 red t-shirt = 10%

Answer:

11 years

Step-by-step explanation:

Answer:

Its actually 10 years

Step-by-step explanation:

Its about 10.4 but it says nearest year and 10 is closer than 11

Answer:

6x - 15y = -63

15x -15y = -90

Step-by-step explanation:

We need to multiply the two equations by a constant that will eliminate the y terms.

The two equations are:

2x - 5y = -21

3x - 3y = -18

Let us multiply the first by 3 and the second by 6. The resulting equations will be:

6x - 15y = -63

15x -15y = -90

Note: To solve the system of equations we can simply subtract the first from the second.

Answer:

The result is 2x + 2y - 73 = 2.

Answer:

a)   45

The sequence  3 , 5, 9 , 15 , 23 , 33 , 45

Step-by-step explanation:

Given The sequence  3 , 5, 9 , 15 , 23 , 33

First term = 3

Add 2  of first term  

Second term  = 3 +2 = 5

Add 4  of second term  

Third term = 5 + 4 = 9

Add 6  of Third term  

Fourth term  = 9 + 6 = 15

Add 8 of  fourth term

fifth term = 15 + 8 = 23

Add 10 of fifth term

sixth term = 23 + 10 = 33

Add 12 of sixth term

seventh term = 33 +12 = 45

Final answer:-

Now the sequence   3​, 5​, 9​, 15​, 23​, 33​, ​__45___

Answer:

$6.3

Step-by-step explanation:

Cost of one book =  $5.40

cost of 1000 books = 1000* Cost of one book  =  $5.40*1000 = $5400

Transportation cost for all the books = $200

Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books  = $5400 + $200 = $5600.

Given , trader wants to earn a profit of 12.5%

thus, we find 12.5 % of total cost incurred by trader

12.5 % of total cost incurred by trader = 12.5/100 *  $5600. = $700

Thus, total profit for 1000 books will be $700

we know that

selling price = cost price + profit

therefore, in the given problem

selling price for 1000 books =  total cost for 1000 books + total profit

substituting the value as calculated above

selling price for 1000 books = $5600 + $700 = $6300

To find selling price for one book, lets divide LHS and RHS by 1000

selling price for 1000/100 books = $6300/1000 = $6.3

Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.

Answer:

x = 8

Step-by-step explanation:

please see the attached picture for full solution

Hope it helps..