Alan is printing photographs for an exhibition. He prints 11 photographs, and the total printing cost is $47.81. After 2 days, he gets 3 more photos printed. Alan estimates that the cost of the last 3 photos will be approximately $13.00. Is this a reasonable estimate?

Answers

Answer 1

Answer:

yes, this is a reasonable estimate

Step-by-step explanation:

47.81 x 3/11 = 13.04

Answer 2

The total cost for the first 11 photographs is $47.81.

To ascertain whether Alan's estimate for the cost of the last three photographs is reasonable, we will first compute the average cost of the first 11 photographs. Then, we will compare it to the estimated cost for the additional 3 photographs.

The total cost for the first 11 photographs is $47.81. To find the average cost per photograph, we divide this amount by the number of photographs:

$47.81 / 11 = $4.35 per photograph (rounded to the nearest cent).

Next, if Alan estimates the cost for 3 more photographs to be approximately $13.00, then the estimated cost per photograph for these would be:

$13.00 / 3 = $4.33 per photograph (rounded to the nearest cent).

Given that the average cost of the first 11 photographs is very close to the estimated cost of the additional 3 photographs, Alan's estimate is not only reasonable but also very precise.


Related Questions

The given data set shows the weight, in pounds, of nine dogs at an animal hospital.

{35, 22, 30, 110, 20, 25, 30, 32, 32}

Which data value is considered an outlier?



Enter the answer in the box.

Answers

Answer:

110

Step-by-step explanation:

You can see that the other terms are between 20 and 40, but 110 is a whole 75 off of the next greatest number. That makes it an outlier

Answer:

110

Step-by-step explanation:

All other value are between 20 and 35, 110 is way apart

What is the slope, m, and y-intercept for the line that is plotted on the grid below?
-54-342-
11 23
m= 1 / (0, -2)
m = 1/2, (0.4)

Answers

m = 1/2, (0.4)
because
the slope, m and y-intercept for line that is plotted on the grid below
= 1/2, (0.4)

It should be 0.6. you add the numbers you got I think you add

I need the help of identifying the constant term and numerical coefficient in this expression

4+2n

Answers

Answer:

constant term:n

numerical coefficient:2

Step-by-step explanation:

a numerical coefficient is a fixed number that is multiplied to a variable. So in the expression, the numerical coefficient would be 2

A constant term is something in an algebraic expression that does not change which is n

Number coefficient 2

can someone give me the answer for this and maybe explain it?​

Answers

Answer:

5x=85

9x=153

Step-by-step explanation:

540-139-71-92-9x-5x=0

238-14x=0

238=14x

17=x

5x=85

9x=153

what is the slope of the ordered pair (19, -2) (-11, 10)

Answers

Answer:

-0.4

Step-by-step explanation:

first you subtract both x values (19 - (-11)) or (19+11)

then subtract both y values (-2 - 10)

which would give you -12 over 30

-12/30 is -0.4

-12/30 would be the slope

Find the area of the polygon, read the info, plz ANWSER will mark brainest!!
(Also plz explain what u did)

Answers

1) 7x3.5 answer is 24.5

What is 14/24 ad a percent

Answers

Answer:

58.33%

Step-by-step explanation:

To turn a fraction into a percent all you need to do is multiply the numerator by the denominator

Which statement represents the percent of American adults with total cholesterol scores in the borderline-high range?

Answers

Answer:

P(0<z<1.3)

Step-by-step explanation:

Edge2020

Answer:

Step-by-step explanation:

C

Find the value of X.

Answers

Answer:

3.96ft

Step-by-step explanation:3.3/5 is .66 so that is the scale factor and multiply 6 by .66 gets you 3.96 hope this helps god bless

What function is represented by the mapping diagram shown?

O A. F(x)= x+3
O B. F(x)= x-3
O C. F(x) = 3x
O D. F(x) = 1

Answers

Correct Answer is A.
Final answer:

The mapping diagram displays how inputs are transformed into outputs; this relationship must match the transformation properties of the given functions to determine the correct answer.

Explanation:

To understand which function is represented by the mapping diagram, one needs to look at how the inputs (or arguments) are being transformed into outputs (or values). A mapping diagram shows a set of ordered pairs, illustrating how each input is associated with a specific output. Considering the functions given: F(x) = x+3, F(x) = x-3, F(x) = 3x, and F(x) = 1, it is important to note the nature of transformations that each of these functions imply.

For the F(x) = x+3 function, every input value x is increased by 3, which is a shift to the right on the graph. On the other hand, F(x) = x-3 would decrease every input x by 3, showing a leftward shift. If we consider F(x) = 3x, this would imply each input x is being scaled by a factor of 3. Lastly, F(x) = 1 represents a constant function that maps every input to the same output, which is 1.

To determine the correct function from the mapping diagram, one would compare these transformations to the mapping shown and select the function that accurately describes the relationship between the inputs and outputs in the diagram.

Alona has some wood cutouts of two different shapes - square and triangle. Each square cutout is 6 mm thick and each triangular cutout is 8 mm thick. Both cutouts have the same area of cross-section. Alona makes an upright stack using 24 square cutouts. She is making an oblique stack using the triangular cutouts. How many triangular cutouts should she put in the oblique stack so that both stacks have the same volume?

Answers

Answer:

18

Step-by-step explanation:

Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.

For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm

Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.

Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks

Final answer:

To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).

Explanation:

To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).

Since both stacks have the same area of cross-section, we can set up the equation 6mm × (area of a square) × 24 = 8mm × (area of a triangle) × (number of triangular cutouts). By finding the ratio of the volumes and solving for the number of triangular cutouts, we can determine the number needed.

Learn more about Comparing volumes here:

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Anyone know how to do this?! Help!

Answers

Given:

Vertical angles.

One angle is 85°.

To find:

The measure of ∠1, ∠2 and ∠3.

Solution:

∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then the vertically opposite angles are congruent.

m∠2 = 85°

Sum of the adjacent angles in a straight line = 180°

m∠2 + m∠3 = 180°

85° + m∠3 = 180°

Subtract 85° from both sides.

85° + m∠3 - 85° = 180° - 85°

m∠3 = 95°

By vertical angle theorem:

⇒ m∠1 = m∠3

m∠1 = 95°

Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.

12 cm Area

I already know the area but i can find the height.

Area of Parallelogram

120 cm

Answers

Answer: 10cm

Step-by-step explanation:

If the area is 120 and I'm assuming you meant the side length is 12, then 120 divided by 12 is 10

what is the area of the base in the figure below? A cylinder with height 12and diameter 6

Answers

Answer:

[tex]9\pi[/tex]

Step-by-step explanation:

I don't see a picture, so I'm assuming the cylinder looks like a soup can sitting on a table, resting on it's circular base.

The base of the cylinder is a circle, so you need to find the area of a circle with diameter 6.  Use the formula

[tex]A=\pi r^2[/tex] where r is the radius of the cylinder.  If the diameter is 6, then the radius is 3.

[tex]A=\pi (3)^2 = 9\pi[/tex]

A little help here?


Whats the value of X?

Answers

You’d add 65+79 to get 144 then subtract that from 180 and get 36 so X would be 36 :) hope this helped!

Answer:

36

Step-by-step explanation:

That kind of triangle is supposed to equal up to 180. So 65 + 79 = 144. So 180 - 144 = 36. Sorry if this is the wrong answer. This is what i think it is. Again, sorry in advanced!


One way to notate the complement of an event A is not A. For instance, suppose that P(even) represents the probability of rolling an even number on a number cube. Then, P(not even) represents the probability of rolling a number that is not even on a number cube.
Consider the events from Activity 1.1, Questions 5 and 6—“rolling an even number” and “rolling a number that is not even.” What do you notice about the sum of the probabilities of these two complementary events?

Answers

Sum is always 1

Step-by-step explanation:

Step 1: Find the sum of probability of complementary events.

The sum of probability of an event and its complementary event is always 1.

Here, the event is rolling an even number. Let it be P(even)

Its complementary event is rolling a number that is not even. Let it be P(not even)

P(even) = 1/6

P(not even) = 5/6

P(even) + P(not even) = 1/6 + 5/6 = 1

Does this graph represent constant or changing speed? How do you know?

Find the average speed (1pt).

Answers

Answer:

yes because the no's.are different and they are moving high in the graph

The graph represents changing speed, and the average speed is 0.5 meters per second.

To determine whether the graph represents constant or changing speed, we examine the relationship between distance and time.

If the speed remains consistent over time, the graph represents constant speed.

Conversely, if the speed varies, the graph represents changing speed.

Upon examining the data provided, we observe that the distance traveled increases as time progresses, indicating changing speed.

This inference arises because the increments in distance over successive time intervals are not consistent, suggesting acceleration or deceleration.

To find the average speed, we divide the total distance traveled by the total time taken. In this case, the total distance covered is 100 meters (from 10 to 100 meters), and the total time elapsed is 200 seconds (from 20 to 200 seconds).

Therefore, the average speed is:

[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{100 \, \text{m}}{200 \, \text{s}} = 0.5 \, \text{m/s} \][/tex]

Hence, the graph represents changing speed, and the average speed is 0.5 meters per second.

The probable question may be:

Does this graph represent constant or changing speed? How do you know?

Find the average speed (1pt).

Distance (m) Time (sec)

10                     20

20                    40

35                    70

65                   130

85                    170

100                 200

A newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft. above the ground, and then anchored to the ground 4 ft. from the base of the tree. How much wire is needed for 6 trees?

Answers

Answer:

72

Step-by-step explanation:

These questions are best done if you draw a diagram

if you do, you will see that the wires are arranged in a 3,4,5 right triangle.

you only need the perimeter so for each tree you  need 12 feet of wires

multiply that by 6 and you get 72

Answer:

72

Step-by-step explanation:

Hope this helps!

Use the table. Which inference can you make by comparing the measures of center?

A: every runner ran faster last year as compared to this year

B: most runners ran faster last year, on average, as compared to this year

C: the runners ran faster this year, on average, as compared to last year

D: every runner ran faster this year as compared to last year

Answers

Answer:

C: the runners ran faster this year, on average, as compared to last year

Step-by-step explanation:

Mean is a measure of center and MAD is a measure of dispersion. Comparing the means, this year, on average, the runners ran faster than last year.

Answer:

c

Step-by-step explanation:

Evaluate the expression for z = -4.
-4z - 11=

Answers

Step-by-step explanation:

Plug z = -4 into the equation

-4. -4 - 11 = 16 -11 = 5

I need the answer for that ^

Answers

so the right answer is of option D.

Hope this will help u...

Choose the problem with the same relationship that is modeled by the graph

Answers

Answer:

<M

Step-by-step explanation:

The sum of the angle measures
of a triangle is 180°. Find the
measure of each angle.

Measure of angle A =

Measure of angle B =

Measure of angle C =​

Answers

Answer:

(x-2 )= 18

(4xt1) = 81

i got it because x=20 mark branliest if you can thanks

A is 18 degrees
B is 81 degrees
C is 81 degrees

I solved this problem by finding x, then plugging it into each little equation. B and C are the same because is is an isosceles triangle. You can tell this from the beginning because their equations are the same. Hope this helps :)

Cassie is designing a wheelchair ramp for a school. her original design had a height of 3 feet and a base of 24 feet. Her new design must have a height of 3 feet and height-to-base ratio of 1:12.
How long will the base ramp be in the new design?

A 6 feet

B 12 feet

C 30 feet

D 36 feet

Answers

Answer:

D. 36 feet

Step-by-step explanation:

if Cassie's new ratio is 1:12 height-to-base, and her height is 3, plug that information into the ratio.

1:12 = 3:b

to go from 1 to 3, you multiply 1 by 3, so you will need to multiply 12 by 3 to get the new base.

3x12 = 36

D. 36 feet

2. Husein used a ladder to climb up a tree. The
ladder which has its foot 2 m from the
bottom of the tree touches the tree at a
height of 7 m. How long is the ladder?​

Answers

Answer:

7.28 m

Explanation:

Use the Pythagorean Theorem. The length of the ladder is the hypotenuse.

a^2 + b^2 = c^2
a = 2, b = 7, c = ?

Plug in the values into the equation.

2^2 + 7^2 = c^2
4 + 49 = c^2

Square root both sides to get c = 7.28

Circle O is inscribed in the given triangle. What is the perimeter of the triangle?

Answers

Answer:

44 units

Step-by-step explanation:

just answered on edg 2020

Final answer:

When a circle is inscribed in a triangle, its radius is equal to the distances between the points of tangency on each side and the center of the circle.

Explanation:

When a circle is inscribed in a triangle, it is tangent to all three sides of the triangle.

The perimeter of the triangle can be found by adding the lengths of the three sides.

Since the circle is inscribed in the triangle, the lengths of the sides of the triangle are equal to the distances between the points of tangency on each side and the center of the circle.

Therefore, the perimeter of the triangle is equal to the sum of these distances.

Learn more about Circle inscribed in a triangle here:

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What is the arc measure of DBC in
degrees?

Answers

Answer:

In this context:

[tex]\boxed{\angle DBC=x=60^{\circ}}[/tex]

Explanation:

Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is the measure of its central angle being a central angle an angle between two radii in a circle. Suppose that angle measures:

[tex]\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}[/tex]

An isosceles triangle has an angle that measures 140°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Every triangle is 180 degrees, so each other angle should have 20

Answer: 20 :)

Step-by-step explanation:

jamal has 2 straight sticks with the length of 20cm and 18cm. Jamal searches for a third stick so that he can form a triangle. Which length of stick will allow jamal to make a triangle.

Answers

The length of third side of triangle should be greater than 2 cm and less than 38 cm

Solution:

Given that,

Jamal has 2 straight sticks with the length of 20 cm and 18 cm

Jamal searches for a third stick so that he can form a triangle

According to triangle inequality theorem,

Triangle inequality theorem states that sum of length of two sides of triangle should always be greater than measure of third side

Let the length of unknown side be "x"

Case 1:

Let 20 cm be the length of third side

Then,

x + 18 > 20

x > 20 - 18

x > 2

Case 2:

Let "x" cm be the length of third side

18 + 20 > x

38 > x

x < 38

This means that length of third side of triangle should be greater than 2 and less than 38

Final answer:

Jamal can use any third stick with a length greater than 2 cm and less than 38 cm to form a triangle with his existing sticks of 20 cm and 18 cm, according to the triangle inequality theorem.

Explanation:

To determine the length of a third stick that Jamal can use to form a triangle with the other two sticks, one must apply the triangle inequality theorem. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In Jamal's case, the sticks have lengths of 20 cm and 18 cm. Therefore, the length of the third stick must be more than the difference of the two sticks and less than their sum to form a triangle.

So the third stick must be longer than 2 cm (20 cm - 18 cm) and shorter than 38 cm (20 cm + 18 cm). To summarize:

The third stick must be > 2 cm.The third stick must be < 38 cm.

So any stick length between > 2 cm and < 38 cm will allow Jamal to create a triangle with the other two sticks.

what is the volume of a right circular with a radius of 6 m and a height of 9 m

Answers

Answer:

324 pi m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h  where r is the radius and h is the height

V = pi (6)^2 9

V = pi (36)9

V =324 pi m^3

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C) Is dependent on the accurate collection of demographic and financial information. D) Verifies whether scheduled service expenses will be covered. Find the area of the regular 15-gon with radius 5mm Travis is at a carnival and has a chance to win a goldfish. He can either roll 2 or 3 on a six-sided fair die or pick either an A or B out of a hat which contains letters A, B, C, D, and E. Which game should Travis play to win a goldfish? Explain. Ming is walking around a circular track. The diameter of the track is approximately 125 meters. If Ming walks around the track 5 times how many total meters will she walk? Round your answer to the nearest whole meter.Pd: the answer is 1963 but I dont know the process. What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?9,920 mm310,010 mm37,680 mm310,240 mm3 What is the surface area of this cylinder? Use 3.14 and round your answer to the nearest hundredth. 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