A maple syrup producer has a booth at a Sunday farmer's market. The producer sells organic maple syrup by the pint. To get customers to start buying more pints of organic maple syrup, the producer is trying out a new discount system. Customers buying more than two pint bottles will get a discount per pint, beginning with the third pint bottle. For these customers, the expression shown represents the total price, in dollars, of buying p pints of organic maple syrup. 29.50 + 13.50(p – 2)

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Price = 29.50 + 13.50(p - 2)[/tex]

The question has missing details. However, I will solve on a general term.

A possible question could be to find the cost of purchasing (say 10 bottles).

To do this, we simply substitute 10 for p.

So:

[tex]Price = 29.50 + 13.50(p - 2)[/tex]

[tex]Price = 29.50 + 13.50(10 - 2)[/tex]

[tex]Price = 29.50 + 13.50 * 8[/tex]

[tex]Price = 29.50 + 108[/tex]

[tex]Price = 137.50[/tex]

i.e. $137.50 for 10 pint bottles

Another possible question is to calculate the number of pint bottles that amount to (say $70).

To do this, we simply substitute 70 for Price.

So:

[tex]Price = 29.50 + 13.50(p - 2)[/tex]

[tex]70 = 29.50 + 13.50(p - 2)[/tex]

Collect like terms

[tex]70 - 29.50 = 13.50(p - 2)[/tex]

[tex]40.5= 13.50(p - 2)[/tex]

Divide both sides by 13.50

[tex]3= p - 2[/tex]

Add 2 to both sides

[tex]3 + 2 = p - 2 + 2[/tex]

[tex]5 = p[/tex]

[tex]p = 5[/tex]

i.e. $70 will buy 5 pint bottles

Use this explanation to find solution to your question


Related Questions

Chandler has 822 millimeters of fabric. How many centimeters of fabric does Chandler have? Use the numbers and symbols on the tiles to enter an equation to show the conversion. 822 8.22 82.2 0.822 × ÷ = 10 100 1,000 ? ÷ ? = Chandler has centimeters of fabric.

Answers

Answer:

Chandler will need 82.2  cm of fabric.

Step-by-step explanation:

Given that,

Chandler has 822 millimeters of fabric.

We know that,

1 mm = 0.1 cm

To convert 822 mm to cm, use the unitary method.

822 mm = (0.1×822) cm

= 82.2  cm

So, Chandler will need 82.2  cm of fabric.

A rectangular billboard is 9.35 meters wide and 6.82 meters tall. What is the perimeter of the billboard in meters?

Answers

Answer:

32.34 meters

Step-by-step explanation:

All you need to do is label the rectangle with the information given. 9.35 for width, and 6.82 for length.

Next, just fill in the other sides and add. Because it's a rectangle, then you should be able tp label the blank sides.

Next, just add all the sides together and then you'll get your perimeter!                                                    

                                9.35 + 9.35+ 6.82 + 6.82= 32.34

Cual es el valor absoluto de 6.3

Answers

Answer:

Usamos la notación para decir "el valor absoluto de -2", lo cual significa "la distancia de -2 al 0 en la recta numérica". ... 6.3: Altitud y temperatura absoluta.

PLEASE HELP!!! TIMED <33 WILL GIVE BRAINLIST. Evaluate the function requested. Write your answer as a fraction in lowest terms. Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 45, side C B is 36, side C A is 27. Find sin A. a. Sine A = four-fifths c. sine A = five-fourths b. sine A = four-thirds d. sine A = three-fifths

Answers

Answer:

sin A = perpendicular /hypotenuse

=36/27=12/9=4/3

Answer:

Its C.

Step-by-step explanation:

Point-Slope Form - Item 33745
Question 3
Select the two statements that are true about the equation y-5 = 12(3 – 4).
CLEAR
CHECK
The slope of the line is 5.
The slope of the line is 12.
One point on the line is (4, 5).
One point on the line is (5, 12).

Answers

Answer: The slope of the line is 12 and One point on the line is (4,5)

Step-by-step explanation: Point-slope form is written like this: Given a point (a, b) on a line and m being slope , y-b = m(x-a)

Find the value of the variable A. 48 B. 180 C. 139 D. 39 ​

Answers

I am pretty sure it’s C

PLZ HELP FAST!!!
Ill give brainliest to whoever gives me the correct answer first!

Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.


Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. A square is drawn around point M.



Statements


Reasons

1. ABCD is a parallelogram 1. given

2. ∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles 2. given

3. ∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA 3. right angles are congruent

4. AC bisects BD;

BD bisects AC; 4. diagonals of a parallelogram bisect each other

5. AM ≅ MC, MB ≅ MD 5. definition of a bisector

6. ? 6. SAS congruency theorem

7. AB ≅ BC ≅ CD ≅ DA 7. CPCTC

8. figure ABCD is a rhombus 8. definition of a rhombus

△ABC ≅ △ADC ≅ △BAD ≅ △BCD

△AMB ≅ △CMB ≅ △CMD ≅ △AMD

△ABC ≅ △ADC ≅ △AMD ≅ △BMC

△AMB ≅ △CMD ≅ △BAD ≅ △BCD

Answers

Answer:

△AMB ≅ △CMB ≅ △CMD ≅ △AMD

Step-by-step explanation:

edg2020

Answer:

B

Step-by-step explanation:

Help really important

Answers

Answer: Its c

Step-by-step explanation:

Plz give brainliest

PLS HELPPP !! BRAINLIEST!!

Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?

A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3

Answers

18cm you multiple it my the figure given

please help! quickly

Answers

Answer:

Step-by-step explanation:

Area of a cone is pie times radius square times height divided by 3

So it will be 3.14 x (4x4)x 9/3= 150.72


4.62 +3-3.6z =
Answer plssss

Answers

Answer:

z = 2.12

Step-by-step explanation:

4.62 +3 - 3.6z = 0

7.62 - 3.6z = 0

-3.6z = -7.62

z = 2.12

PLEASEEEEEEEE HELPPPPPPP

Answers

It would be the 4th one

Solve this for me please i need help with it

Answers

Answer:

sin 60 = 6 sqrt(3) / a

sqrt(3)/2 = 6 sqrt(3) / a

1/2 = 6/a

a =12

sin 30 = b / a

1/2 = b / 12

b=12/2

b=6

Step-by-step explanation:

It’s cost $3.75 to by 3/4 of a pound of walnuts.How many pounds of walnuts can your purchase with $11.25

Answers

Answer:

9/4 pounds of walnut

Step-by-step explanation:

First we divide 11.25/3.75=3 so we would know how many 3/4 pounds are there. Then, we know there are 3-3/4 pounds of walnuts. Mulitply them, you will get 9/4

2.25 is the answer to the question

Please I need help
I need the equation of the graph below

Answers

Answer:

0x 57=63

Step-by-step explanation:

The value of the function f(x) is 600 when x=0 and decreases by 9% for every one-unit increase in x. Complete the equation that represents the function f(x)
its a open answer please help

Answers

Answer:

[tex]f(x)=600(0.09)^x[/tex]

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

[tex]f(x)=600(0.09)^x[/tex]

Which graph represents the inequality x > 23 ?

Answers

Answer:

the first one choice a

Step-by-step explanation:

Please help me!! Thank you

Answers

Answer:

WXY = 90

XZY = 45

YXZ = 45

WRZ = 90

XWY = 45

3) A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs.
Stanton is going to take one pen from a drawer, use it, and then put it back in
the drawer. Then he is going to take another pen from the drawer to use. What
is the probability of Mrs. Stanton taking a red pen first and then taking a blue
pen? P(red, then blue)?

Answers

Answer:

25%

it's 50-50 for drawing a certain color pen each time.

so, the odds of drawing a red pen on the first draw is 50%

the odds of drawing a blue pen on the second draw is also 50%

so, to to *both* in order is 50% of 50%- or 25%

The front of a dog house is in the shape of a isosceles triangle. If the sides measuring 4 feet and the base of the house is 6 feet long. Find the height of the doghouse.

Answers

Answer: [tex]\sqrt{5}[/tex] feet

Step-by-step explanation: Since it's an isosceles triangle, we can split it into  two right triangles. Now we have two right triangles with a hypotenuse of 4 and one side length of 3. To solve for the other side length (the height), we can use the Pythagorean theorem. [tex]4^{2} = 3^{2} + h^{2}[/tex] where h is the height of the dog house. Solving for h, we get the answer of [tex]\sqrt{5}[/tex] feet

Anyone help please I’m wasting my points for no reason

Answers

Answer:

Qn1: -37

Qn2: 16

Qn3:-33.6

Step-by-step explanation:

Qn1:

k(4) = -4*4-6 = -16-6 = -22

m(5) = (5^2)-8*5=-15

k(4)+m(5)= -22+ (-15)= -37

Qn2:

m(-2)= 4 -8*(-2)= 20

n(10) = 2 -6 = -4

20+ (-4)=16

Qn3:

n(-100)= -20-6 = -26

k(-8) = -1.6 -6= -7.6

-26+ (-7.6) = -33.6

When k=7 and q=35 find the value of p in direct proportion method

Answers

I think the answer is 5.

y = kx is the equation for direct proportionality. I’m guessing your “q” is the “y”, because 35 is easily divisible by 7.

35 = 7x
x = 5

Help plzzzzz 30 points

Answers

Answer:

it is decreasing

Step-by-step explanation:

hope it helps study hard!!!!

I need hel asap. PLEASE I WILL GIVE BRANLIEST

Answers

Answer:

x=12

Step-by-step explanation:

30/25=x/10

x=30×10/25

x=12

what is the expression of 14b

Answers

Answer:14 x b???

Step-by-step explanation:

PLEASE HELP RAISING THE POINTS TO 20!!

Answers

Answer:

There are two possible values for x.

The function value will be zero for the values of x.

Find the area of the composite figure below.

Answers

Answer:

96m

Step-by-step explanation:

Michael's lawn measures 12 feet wide and 15 feet long. Sue's lawn measures 36 feet wide and 50 feet long. How many times larger is Sue's lawn than Michael's
lawn?
(A)
(В)
D
10

Answers

Sue’s lawn is 10 times larger than Michael’s

Answer:

10

Step-by-step explanation:

A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.

Answers

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

what is the volume of a cylinder has a radius of five and a height of 15

Answers

Answer:

1,178.097245 cm3

Step-by-step explanation:

i think id k tho

r=5
h=15
V= π•r^2•h
V=3.14•25•15
V=1,177.5
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