A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inversely with the number of photos a customer buys, as shown in the table below. What functions model the data?
Answers
we have that
for c=5 and n=20------------> n*c=20*5=100
for c=2.5 and n=40------------> n*c=40*2.5=100
for c=2 and n=50------------> n*c=50*2=100
for c=1.25 and n=80------------> n*c=80*1.25=100
therefore
the function that models the data is n*c=100
the answer is nc=100
Your answer is nc=100
Related Questions
Which expression is equivalent to(4+6i)^2
Answers
Use the FOIL method
4(4) = 16
4(6i) = 24i
6i(4) = 24i
6i(6i) = 36i², or -36 (note, i² = -1)
24i + 24i = 48i
16 + 48i - 36 = 48i - 20
48i - 20 is your answer
hope this helps
the answer is -20+48i
Which of the following is an unbiased question?
Which do you prefer, a nice, luxury Audi or a basic Ford?
Would you rather take a vacation to the mountains or to the ocean?
Which would you prefer, a chicken sandwich or a juicy, tasty burger?
Most people say they would prefer a new governor over the current one, what do you think?
Answers
THIS IS A 3-STEP QUESTION PLEASE ASWER ACCORDINGLY! THANKS !!!
3 sisters are each 2 years apart in age. The youngest sister is Emily, the middle sister is Samantha and the oldest sister is Lauren. Together their combined ages are 42. How old is each sister?
a. Define the variable(s).
b. Write an equation for this situation using one variable.
c. Solve the equation for the ages of the 3 sisters.
Answers
Let x = age of Samantha.
Then x - 2 = age of Emily,
and x + 2 = age of Lauren.
b.
x - 2 + x + x + 2 = 42
c.
x - 2 + x + x + 2 = 42
3x = 42
x = 14
x - 2 = 14 - 2 = 12
x + 2 = 14 + 2 = 16
The ages of the sisters are 12, 14, 16.
1/4 of 24 on tape diagram
Answers
Three golfers, Vijay, Ernie, and Phil , during five years had a total of 221 top-10 finishes. Ernie had 13 more top-10 finishes than Phil. Vijay had 16 more top-10 finishes than Phil. Determine the number of top-10 finishes for each golfer.
Answers
x: number of top-10 finishes for Vijay.
y: number of top-10 finishes for Ernie.
z: number of top-10 finishes for Phil.
We write the following system of equations:
x + y + z = 221
y = 13 + z
x = 16 + z
Solving the system we have:
Step 1:
x + y + z = 221
(13 + z) + (16 + z) + z = 221
3z + 29 = 221
z = (221-29) / (3)
z = 64
Step 2:
y = 13 + z
y = 13 + 64
y = 77
Step 3:
x = 16 + z
x = 16 + 64
x = 80
Answer:
the number of top-10 finishes for each golfer is:
Vijay: 80
Ernie: 77
Phil 64
by definition, empirical is equal to
Answers
number of successful trials/ total number of trials
Step-by-step explanation:
Is this the right Answer?
Answers
Figure 1 moves to figure 2 after the translation rule (x,y) ---> (x+1, y+2)
Figure 2 moves to figure 3 after the rotation 90 degrees clockwise around the origin
Figure 3 moves to figure 4 after the translation rule (x,y) ---> (x+2, y-3)
Figure 4 is in quadrant IV. The size does not change
-----------------------------------------------
Answer: Choice B) Quadrant IV; no
Jack decided to save 15% of his monthly allowance of $15.00. How much is he saving each month?
*show work*
Answers
It's so easy question my friend, just do
Jack saving 2.25 $ each month
We have given that monthly allowance of jack is 15$
He decides to save 15% of his monthly allowances
We have to calculate the saving of each moth.
Therefore,
we have to find the 15% in decimal form,
What is the formula for finding the percentage in decimal form:
[tex]decimal form =\frac{x}{100}[/tex]
Where x is in %
Therefore,
15%=15/100=0.15
Jack want to save 0.15 from his monthly allowance of 15$
Therefore,
15(0.15)=2.25
Therefore,
Jack saving 2.25 $ each month.
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Which of the following are miscellaneous taxes? Gasoline tax License plate fees Hunting license fees Inheritance tax Marriage license fees
Answers
Its all five of them
Sam bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 38 cards left. How many cards did Sam start with?
Answers
He bought 9 new cards:
x + 9
His dog ate half (Which means he also had half left)
0.5(x+9)
There are 38 cards left:
0.5(x+9) = 38
0.5x + 4.5 = 38
0.5x = 38 - 4.5
0.5x = 33.5
x = 33.5 ÷ 0.5
x = 67
So Sam had 67 cards to start off with.
Note: You may want to write 0.5 as half (1/2) .. it is just clumsy to type that, so I kept it as decimal.
A rectangular park is 5/6 miles wide and 1 5/7 miles long. What is the area of the park?
Please hepl me can't find answer from others!!!!
Answers
5 x 12
6 x 7
60/42
or
10/7
or
1 3/7
So I was doing my math homework and I got stuck on this one... Can anyone please help
Answers
That would be (n+5)(n+5)(n+5), which is equal to n3 +125. Hope it helps! :)
Explain why 1/12+1/12+1/12 is the same as 1/4
Answers
Explanation of why 1/12+1/12+1/12 equals 1/4 through adding fractions with common denominators.
Adding fractions:
Convert all fractions to have a common denominator.
Add the numerators together.
Keep the denominator the same.
Therefore, 1/12 + 1/12 + 1/12 = 3/12 = 1/4.
it takes 45 minutes for 4 people to paint 5 walls. How many minutes does it take for 6 people to paint 4 walls?
Answers
1. according to the first condition 45 min for 4 p. 5 walls, it means that: n*a*t=w, where n-numbers of people, a- ability of one person and w-numbers of walls.
4a*45=5, a=1/36 - ability for one person.
2. according the second condition for 6 people and 4 walls:
6*1/36*t=4, ⇒ t=24 minutes.
answer: 24 min.
If it is possible check the arithmetic part.
Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?
Answers
Trial and Error using choice C:
3x + 4y = 86x - 3y = 2
x = 32/33y = 14/11
Therefore, the correct answer is 6x - 3y = 2. I know this because ive done this before
how to measure the length in meters of a poster. explain
Answers
What does the graph of f(x)=-(x-3)^2+11 look like
Answers
Answer:
opens downward with a vertex of (3,11)
Step-by-step explanation:
just took the test
Tamera earned an A on 5/8 of her spelling tests.Of those spelling tests,she earned a perfect score on 1/5 of them.
On what fraction of tamera's total spelling tests did she earn a perfect score?
If Tamera took 32 spelling test,on how many did she earn a perfect score?
Answers
Answer:
1/8
4
Step-by-step explanation:
She got an A on 5/8 of all tests.
She got a perfect score on 1/5 of the 5/8.
1/5 * 5/8 = 5/40 = 1/8
She took a total of 32 tests.
1/8 * 32 = 4
Answer:
1/8
4
Lacie is filling a bucket with water. Which is the best unit for Lacie to use to describe the amount of water in a full bucket? A. millimeters B. milliliters C. liters D. meters
Answers
answer plz I reallllllly need it it is proportion
Answers
Find two solutions to each equation in the interval -90°<θ<270°
cos θ = 0.766
tan θ = -5
cot θ = 2
sin θ = -0.31
sec θ = (18/11)
csc θ = 6
Answers
thank you for using Brainly!
Find the angles of a rhombus in which a diagonal length is equal to the length of a side.
Answers
We can draw the figure as shown in attachment.
Then you can see an equilateral triangle ABD.
So here angle A, B and D all will be 60 degrees.
So one of the angles of rhombus becomes 60°.
Rhombus is a parallelogram.Hence the adjacent angle becomes 120°.
Finally,angles of rhombus are 60 ,120,60,120.
The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7 inches?
Answers
Answer with Step-by-step explanation:
The volume of cylinder is given by
V=πr²h
Where r is the radius and h is the height
The volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches.
50.265=π×2²×4
⇒ π=50.265/16
Now when r=3 inches and h=7 inches
V=π×3²×7
[tex]V=\dfrac{50.265}{16}\times 9\times 7\\ \\V=199.336[/tex]
Hence, volume of the cylinder when the radius is 3 inches and the height is 7 inches is:
199.336 cubic inches
The volume of a cones is 6 pie, if a cylinder has the same diameter and height as the cone what is it's volume?
Answers
now, notice, the volume of the cylinder is really about the same as the volume of a cone, just 3 times larger, assuming "h"eight and "r"adius for both is the same amount.
now, if we know the cone with that "h" and "r" has a volume of 6π, the cylinder is.... well, you already know.
During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she drink in total?
Answers
Sasha drank a total of 51⁄2 cups of water by converting the pints to cups and then adding the half cup she drank on the way home.
To calculate the total amount of water Sasha drank, we need to add the volume of water she drank during practice and the volume she drank on the way home. However, we first need to convert the measurements so that they are in the same unit.
There are 2 cups in a pint, so 21⁄2 pints of water is equivalent to 5 cups of water (since 2 pints = 4 cups and 1/2 pint = 1 cup). Adding the additional 1/2 cup she drank on the way home gives us:
5 cups (from 21⁄2 pints)+ 1/2 cup (drank on the way home)
5 + 1/2 = 51⁄2 cups in total
Therefore, Sasha drank a total of 51⁄2 cups of water.
Solve for Y please!!!
Answers
Using this information, we can make and solve an equation:
8y - 4 = 60° (we know that it is equal to 60°, since it is an equilateral triangle)8y = 64° (we added both sides by 4 to get the y's alone on one side)y = 8° (we divide both sides by 8 to find out what just y is)-------------------------------------------------------------------------------------------------------------Answer:
So y is equal to 8°
an acute angle is in a right triangle with cos 9/10. What is the value of sec?
Answers
cos θ=9/10, so sec θ=10/9
Suppose consumers will purchase q units of a product at a price of StartFraction 200 Over q EndFraction plus 3 dollars per unit. What is the minimum number of units that must be sold in order that sales revenue be greater than $9000? The minimum number of units sold must be greater than nothing.
Answers
number of units = q
Revenue > $9000
Therefore,
q · ([tex] \frac{200}{q} [/tex] +3) > 9000
⇒ 200 + 3q > 9000
3q > 9000 - 200
3q > 8800
q > 2,933.3
Therefore, the minimum number of units that must be sold in order that sales revenue be greater than $9000 is 2,934 (Number of goods must be an integer)
the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in terms of its speed v. Estimate the stopping distance if the brakes are applied when the car is traveling at 71 miles per hour.
Answers
"The stopping distance of an automobile is directly proportional to the square of its speed v"
d = kv ^ 2
Where,
k: proportionality constant.
We now look for the value of K:
d = kv ^ 2
90 = k ((70) * (5280/3600)) ^ 2
k = 90 / ((70) * (5280/3600)) ^ 2
k = 0.008538539 s ^ 2 / feet
The equation will then be:
d = (0.008538539) * v ^ 2
For v = 71 miles per hour we have:
d = (0.008538539) * ((71) * (5280/3600)) ^ 2
d = 92.6 feet
Answer:
a mathematical model that gives the stopping distance in terms of its speed v is:
d = (0.008538539) * v ^ 2
The stopping distance if the brakes are applied when the car is traveling at 71 miles per hour is:
d = 92.6 feet
The estimated stopping distance when the car is traveling at [tex]71\ miles\ per\ hour[/tex] is approximately [tex]{91.84}\ feet[/tex].
To find the mathematical model that relates the stopping distance [tex]\( d \)[/tex] to the speed [tex]\( v \)[/tex], given that stopping distance is directly proportional to the square of the speed, we can write:
[tex]\[ d = k v^2 \][/tex]
where [tex]\( k \)[/tex] is the proportionality constant.
Given that the car required [tex]90\ feet[/tex] to stop when its speed was[tex]70\ miles \ per\ hour[/tex], we can use this information to find [tex]\( k \)[/tex]
Convert the speed from miles per hour to feet per second (since [tex]1 \ mile = 5280 \ feet\ and\ 1\ hour = 3600 \ seconds[/tex]):
[tex]\[ 70 \text{ mph} = 70 \times \frac{5280}{3600} \text{ fps} = 102.67 \text{ fps} \][/tex]
Now, substitute [tex]\( v = 102.67 \) fps[/tex] and [tex]\( d = 90 \) feet[/tex] into the equation:
[tex]\[ 90 = k \times (102.67)^2 \][/tex]
Calculate [tex]\( (102.67)^2 \)[/tex]
[tex]\[ (102.67)^2 = 10545.84 \][/tex]
[tex]\[ 90 = k \times 10545.84 \][/tex]
Solve for [tex]\( k \)[/tex]
[tex]\[ k = \frac{90}{10545.84} = 0.00853 \][/tex]
Now, substitute [tex]\( k \)[/tex] back into the model:
[tex]\[ d = 0.00853 v^2 \][/tex]
Estimate the Stopping Distance at [tex]71 \ miles\ per\ hour[/tex]
Convert [tex]71 \ miles\ per\ hour[/tex] to feet per second:
[tex]\[ 71 \text{ mph} = 71 \times \frac{5280}{3600} \text{ fps} = 103.87 \text{ fps} \][/tex]
Now, calculate the stopping distance [tex]\( d \)[/tex] at this speed:
[tex]\[ d = 0.00853 \times (103.87)^2 \][/tex]
[tex]\[ d = 0.00853 \times 10781.14 \][/tex]
[tex]\[ d = 91.84 \][/tex]
John is walking home with his younger brother, Don. Their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet. John decides to walk along two sides of the lot, While don takes the diagonal path home. About how much farther does john walk than don?
Answers
Diagonal = sqrt ( 500^2 + 800^2) = 943.4 feet.
Distance along 2 sides of rectangle = 500 + 800 = 1300 feet
So John walks 1300 - 943.4 = 356.6 feet more than Don.
The distance that John walk more than Don is 356.60 ft.
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
Given that John is walking home with his younger brother and their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet.
Since John is walking on the sides, the lenght covered by John will be the sum of the sides.
Sum of the sides of the rectangle = 500 ft + 800 ft
Sum of the sides of the rectangle = 1300 ft
Further, Don is walkin on the diagonal, the lenght covered by Don will be the diagonal of the rectangle.
(Diagonal)² = (500 ft)² + (800 ft)²
(Diagonal)² = 250000 ft² + 640000 ft²
Diagonal² = 890000 ft²
Diagonal = 943.39811 ft
The distance that John walk more than Don is:
Distance = 1300 ft - 943.39811 ft = 356.60 ft
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