Mathematics Middle School

Mrs. Thomas is preparing a lunch for a group of students.

A can of juice has a radius of 4 cm and a height of 11 cm.
Mrs. Thomas knows she needs at least 5,100 Cm^3 of juice.

How many cans of juice will Mrs. Thomas need to buy?

Answers

Answer 1
Volume for a cylinder- V= πr^2h (pi multiplied by r squared times h)

V=π4^2(11)
V= (approximately) 552.92 cm cubed

5100/552.92= (approximately) 9.2 cans
Answer 2

To determine the number of cans of juice Mrs. Thomas needs to buy, calculate the volume of juice in one can and then divide the total required volume by the volume of one can. Mrs. Thomas will need to purchase at least 10 cans of juice.

To find out how many cans of juice Mrs. Thomas needs to buy, we need to calculate the volume of juice in one can first.

We use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.Calculate the volume of one can: V = 3.142 x (4 cm)² x 11 cm = 554.632 cm³.Divide the total volume needed by the volume of one can: Number of cans = 5,100 cm³ / 554.632 cm³ = 9.19.

Since you can't buy a fraction of a can, Mrs. Thomas will need to buy at least 10 cans of juice.

Related Questions

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Image 1. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?

Image 2. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?

Answers

1. 136
2. 107
The angles are the same if you look closely

A square garden has a perimeter of 60 yards. If one yard is approximately 0.9 meters, which of the following best represents the area of the garden in square meters?

Answers

Final answer:

To find the area of a square garden in square meters given its perimeter in yards, we first determine the side length by dividing the perimeter by 4, then convert this length into meters using the conversion rate, and finally square this metric side length to get the area in square meters.

Explanation:

The question you've asked involves calculating the area of a square garden in square meters given its perimeter in yards and a conversion factor between yards and meters. To solve this, we first determine the length of one side of the square garden using the given perimeter. The formula for the perimeter of a square is 4 × side length, so to find the side length, we divide the perimeter by 4. Given a perimeter of 60 yards, the side length is 15 yards.

To convert the side length into meters, we use the conversion factor that 1 yard is approximately 0.9 meters. Therefore, 15 yards × 0.9 meters/yard gives us 13.5 meters. Lastly, to find the area of the garden in square meters, we square the side length in meters, which is 13.5 meters × 13.5 meters = 182.25 square meters. This completes our calculation, showing that the area of the garden is approximately 182.25 square meters.

It takes a boat going upstream 11 hours and 9 hours downstream. What is the speed of The boat if the current is 2mph

Answers

well the speed of the boat changes depending on if it is up or down stream.
if it is going down stream it is with the current so there is a 2 mph assistance.
if upstream then 2 mph resistance.
i feel like there should be a given distance
11 hours to get to where, how far?
or simply answer 11-2=9 and 9+2=11. So possibly average it at 10.
Remark
You don't need the distance. The only thing that matters is the times (and assuming the same rate is used no matter what the current is doing). The distance coming and going is the same.

d_coming = d_going
t upstream = 11 hours
t downstream = 9 hours
current = 2 mph
rate_up = rate_down = r

General formula
d = r * t

Specific Formula
11(r - 2) = 9(r + 2) Note he seems faster with less time. That olnly means that the current is going in the same direction he is.

Solve
11(r - 2) = 9(r + 2)
11r - 11 =9r + 18    add 11 on both sides.
11r = 9r + 18 + 11  
11r = 9r + 29          subtract 9r from both sides.
11r - 9r = 29 
2r = 29                   divide by 2
r = 29/2
r = 14.5

Answer
The speed of the boat is 14.5 miles per hour.

42.5% of 59.2 is what number?

Answers

The answer is 25.16
Hope this helps.
Please mark as Brainliest:)

A total of 907 people went to a fishing tournament. Of these people 627 arrived before noon.Alina estimates that fewer than 300 people arrived in the afternoon. How did she estimate?

Answers

she subtracted 627 who arrived before noon from 907 people which is the total and got 280 people who came in the afternoon.

The equation h(t) = − 16t^2 + 19t + 110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.

What is the initial velocity when the rock is thrown?

Answers

That would be the coefficient of the t term:  19 ft/sec, upward.
ummm.. i think 19 feet per second and it would probably (i think) be thrown upward

which expression gives the length of pq in the triangle shown below?

Answers

For this case what we should do is use the Pythagorean theorem.
 We have then:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 Clearing we have:
 PQ = root (15 ^ 2 + 19 ^ 2)
 Answer:
 The expression used to find PQ is given by:
 PQ = root (15 ^ 2 + 19 ^ 2)
 option C
We have to use the Pythagorean theorem.
 So it will be:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 PQ = root (15 ^ 2 + 19 ^ 2)
 So the expression used to find PQ is given by:
 PQ = root (15 ^ 2 + 19 ^ 2)
 

So the answer would be letter C.

A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stores in Texas. Since then, it has grown by 35% in new store openings each year. Create an exponential function below to show the number of stores each year, x, since 2004.

Answers

The equation is y=16(1.35)ˣ.

This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time.  For our problem, a is 16; b is 0.35 (35%=35/100=0.35).  This gives us the equation above.

When Sally went bowling her scores were 108, 72, and 95. If she bowls a 4th game, what will her score need to be to give her an average of 91?

Answers

x= score of 4th game

Add the 4 scores, divide by 4 and set it equal to 91


(108 + 72 + 95 + x)/ 4= 91
multiply both sides by 4 to eliminate fraction

108 + 72 + 95 + x= 364
275 + x= 364

subtract both sides by 275
x= 89


ANSWER: The scored needed for the fourth game is 89.

Hope this helps! :)

To achieve an average score of 91, Sally needs to bowl an 89 in her fourth game, calculated by subtracting her current total score of 275 from the desired total of 364 points.

To calculate the score Sally needs in her fourth game to achieve an average of 91, we first need to determine the total points she needs after four games. We can calculate the required total points by multiplying the desired average score by the number of games:

91 × 4 = 364 total points

Next, we add up the scores from Sally's first three games:

108 + 72 + 95 = 275 points

Finally, we subtract the sum of her first three games from the total required points to find the score Sally needs in her fourth game:

364 - 275 = 89 points

Therefore, Sally needs to bowl a score of 89 in her fourth game to achieve an average of 91.

Lavender rolled a number cube 90 times. the outcome of the number 6 occurred 18 times. Compare the theoretical to the experimental probability of rolling the number 6.

Answers

By comparing the theoretical probability of 1/6 with the experimental probability of 1/5, one can see that the experimental probability is one that is slightly higher.

What is the outcome of the number

Based on the question, to compare the theoretical and experimental probabilities of rolling the number 6, one have to calculate both probabilities.

The theoretical probability is seen as the expected probability according to the assumption of a fair six-sided number cube.

Based on the fact that there are six equally likely outcomes (numbers 1 to 6) on the cube, the theoretical probability of rolling a 6 is 1/6.

So, the experimental probability is based on the actual outcomes observed in Lavender's 90 rolls.

According to the given information:

Lavender rolled the cube 90 times and got the outcome of 6 in 18 of those rolls.

So: Experimental probability = Number of successful outcomes / Total number of outcomes

= 18 / 90

= 1/5

Hence, the experimental probability of rolling the number 6 is 1/5.

Since the experimental probability is slightly higher, one can say that it could be as a result of random variation or a biased number cube.

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A nurse has an annual income of $48,752 the income taxes to 20% rate what is the amount of the nurses income tax in dollars and cents

Answers

$58502.40 is the answer. First divide the tax rate by 100 then add 1.

20/100 = .20 + 1 = 1.20

Then multiply the rate with the annual income.

48,752(1.20) = 58502.4

Which kind of pollution is shown in the image?
A: point source
B: nonpoint source
C: carbon source
D:natural resource

Answers

A - Point Source

This is the answer as a point source is defined as pollution that could come out of varying things which includes a pipe - thus what is depicted within the image. A point source is also pollution which you can detect the source from - non-point source being the opposite.

Hope this helps!

Since there are 6 faces on a die, there is a 1/6 chance of rolling a die and getting a 5.

Answers

yes. that statement is correct, but what is the question
yes, that is true. no matter what number you are trying to roll on a die, it will be 1/6.

7. Two lines that intersect to form right angles are called what? A. Perpendicular lines B. Parallel lines C. Line segments D. Skew lines

Answers

The answer to the above question can be explained as -

Perpendicular lines are the lines that intersect each other or meet each other at 90 degrees, thus form a right angle.

The parallel lines are the lines that do not meet each other.

Thus, the answer to -

"Two lines intersect each other to form right angles are called" is - A. Perpendicular Lines.

Final answer:

Perpendicular lines are two lines that intersect each other forming a right angle (90 degrees). They are different from parallel lines (which do not intersect), line segments (parts of a line with two endpoints), and skew lines (non-intersecting and non-parallel lines in different planes).

Explanation:

The correct answer is A. Perpendicular lines. Perpendicular lines are two lines that intersect each other at right angles, which means they form a 90-degree angle. This kind of intersection is common in geometry, and you will encounter it frequently in your studies. This contrasts with parallel lines, which do not intersect at all, and line segments, which are parts of a line with two endpoints. Skew lines are lines that do not intersect and are not parallel, usually because they exist in different planes.

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How many cubic centimeters of water can this paper cone cup hold?

Answers

Final answer:

To determine the number of cubic centimeters of water that the paper cone cup can hold, calculate the volume using the formula for the volume of a cone, and then convert it to cubic centimeters.

Explanation:

To calculate the number of cubic centimeters of water the paper cone cup can hold, we need to first determine its volume. The volume of a cone can be calculated using the formula V = (1/3) π r² h, where V is the volume, π is the mathematical constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Once we have the volume of the cone, we can convert it to cubic centimeters since the dimensions given are in centimeters. Finally, we can determine the number of cubic centimeters of water the paper cone cup can hold.

For example, if the cone has a radius of 5 cm and a height of 10 cm, the volume would be:

V = (1/3) π (5 cm)² (10 cm)

V = (1/3) π (25 cm²) (10 cm)

V = (1/3) π (250 cm³)

V ≈ 261.79 cm³

Therefore, the paper cone cup can hold approximately 261.79 cubic centimeters of water.

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Helpppp plzzz Maddie is packing for a trip. in her closet,there are 3 red, 4 black, 2 green, and 2 yellow blouses. She randomly selects 2 blouses. Find each probability. 1. P(black and yellow) 2. P(green and green

Answers

Final answer:

Calculate the probabilities of selecting specific pairs of blouses from Maddie's closet with different colors.

Explanation:

1. P(black and yellow):

Number of ways to select 1 black blouse out of 4 black blouses = 4Number of ways to select 1 yellow blouse out of 2 yellow blouses = 2Total number of ways to select 2 blouses out of 11 blouses = 11C2 = 55

Therefore, P(black and yellow) = (4/55) * (2/11) = 8/605

2. P(green and green):

Number of ways to select 2 green blouses out of 2 green blouses = 1Total number of ways to select 2 blouses out of 11 blouses = 11C2 = 55

Therefore, P(green and green) = (1/55) * (1/11) = 1/605

find the interquartile range for the data set: 10,3,8,6,9,12,13

Answers

Answer:

The interquartile range would be 6.

Step-by-step explanation:

3, 6, 8, 9, 10, 12, 13,

Median: 9

Lower quartile (Q1): 6

Upper quartile (Q2): 12

(IQR) Interquartile Range: 12 - 6 = 6

The interquartile range for the data set is, 6

We have to given that,

The data set is,

⇒ 10,3,8,6,9,12,13

We can arrange data set in ascending order,

⇒ 3, 6, 8, 9, 10, 12, 13

Hence, First quartile (Q₁) = 6

Second quartile (Q₃) = 12

Hence, The interquartile range for the data set is,

Interquartile range = 12 - 6

Interquartile range = 6

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find measure of side AB round to nearest tenth

Answers

Use:

[tex]|AB|^2=|AC|^2+|BC|^2-2|AC||BC|\cos(m\angle ACB)[/tex]

We have:

[tex]|AC|=13;\ |BC|=29;\ m\angle ACB=41^o[/tex]

[tex]\cos41^o\approx0.7547[/tex]

substitute:

[tex]|AB|^2=13^2+29^6-2\cdot13\cdot29\cdot0.7547\\\\|AB|^2=440.9562\\\\|AB|\approx21[/tex]

Which triangles are congruent by ASA

Answers

Answer:

Option B. ΔABC ≅ ΔFGH

Step-by-step explanation:

In the given picture if we compare ΔFGH and ΔABC

side FG = BC

and AB = GH

and angle between them are equal

∠FGH = ∠ABC

Therefore SAS property of congruence is true for these triangles.

Option B. ΔABC ≅ ΔFGH

A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A) Octagon
B) Hexagon
C) Heptagon
D) Quadrilateral

Answers

Answer :

The Correct Option is B) Hexagon

Step-by-step explanation :

Let number of sides in a polygon be n

The triangles are created by drawing the diagonals from one vertex to all the others.

Since there is no overlapping of the triangles so no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex would lie on top of the adjacent sides, therefore number of diagonals from a single vertex is three less the the number of sides, or n - 3 and the number of triangles is one more than that, so n - 2.

⇒ Number of triangles = number of sides in polygon - 2

⇒ Number of triangles = n - 2

⇒ n = 4 + 2

⇒ n = 6

And the polygon containing 6 sides is called Hexagon

Hence, the correct Option is B) Hexagon

Answer:

b

Step-by-step explanation:

Karen spends 450 on monthly bills.of this total amount,12% is for phone service,1/10 is internet service,2/9 is for utilities.id the rest of the amount is for food ,how much does Karen have for

Answers

The complete question is:
 how much does Karen have for food?

 For this case, we have that the full amount of money is:
 12/100 + 1/10 + 2/9 + x = 1
 Where,
 x: fraction of money for food
 Clearing x we have:
 x = 1 - (12/100 + 1/10 + 2/9)
 Rewriting:
 x = 251/450
 Thus, the amount of money for food is:
 450 * x = 450 * (251/450) = 251
 Answer:
 Karen has for food about:
 $ 251

10 points! Please Help! ASAP!!

Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid:

What set of transformations is performed on ABCD to form A′B′C′D′?


A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
B translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin
C 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
D translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin

Answers

A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left

Can anyone help me please, Not sure if my answers is right. Thanks

Answers

1) Bowling Ball
2) Egg
3) Apple
4) Flour Bags

These are the correct answers. If you want to know how, don't hesitate to ask me.

Hope this helps.

Karen has 3 pieces of ribbon that are each 2 3/4 yd long. She also has a piece of lace that is 3 1/5 yd long. Karen needs to cut the lace into 4 pieces that are all the same length to finish a sewing project. How long should each piece of lace be? A. 1 4/5 yd B. 1 1/4 yd C. 11/12 yd D. 4/5 yd

Answers

D) 4/5

Because the lace is 3.2 ydlong, so 3.2÷4=4/5
The first sentence is filler information that can be ignored, as the question involves lace, not ribbon.

Convert the mixed fraction into an improper fraction.

[tex]3 \frac{1}{5} [/tex]

3 * 5 = 15

15 + 1 = 16

The fraction is now [tex] \frac{16}{5} [/tex].

Divide the fraction by 4, as you want to get 4 equally long pieces.

[tex] \frac{16}{5} / \frac{4}{1} = \frac{16}{20} [/tex]

You get [tex] \frac{16}{20} [/tex], which can be simplified to [tex] \frac{4}{5} [/tex]. 

The answer is D.


Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will the artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect

Answers

Answer:

Step-by-step explanation:

Let the cost of canvas be $x per sq inches.

Measurement of the canvas bought by the artist is

24 × 36 inches

Area of canvas = 24×36= 864 sq inches

Cost of canvas = 864x

New cost of canvas =x+5% of x

=x+0.05x

=1.05x

New Cost of canvas = 907.20x

Increase in price=907.20x-864x=43.2x

Percentage = [tex]\frac{43.2x}{864x}*100[/tex]

= 5%

Hence artist is going save 5% of cost by buying sheet today.

when 3 less than the square of a number n is multiplied by 2, the result is 122. if n > 0, what is the value of n?

Answers

122÷2=61
61+3=64
√64=±8
N is positive so the number is +8.

Hope this helped!

Find the slope of the line through the points (4,8), and (5,10).

A.) - 1/2
B.) 1/2
C.) 2
D.) -2

Answers

C

(y2-y1)/(X2-X1)

(10-8)/(5-4)

=2

A pizza corner offers a choice of 2 types of pizza bases and 8 types of pizza toppings. How many different single topping pizzas can a customer order?

Answers

8 times 2 is 16 bud

Write this number in standard notation- (BTW 1/10 means a fraction)
(5 × 10) + (6 × 10) + (7× 1/10) + (3 × 1/10)

Answers

(5x10=50)
(6x10=60)
(7x1/10=7/10)
(3x1/10=3/10)

50+60+7/10+1/10

50+60+8/10
110+4/5 = 110 4/5

110 4/5 is the answer

Brainliest Please

Determine which ordered pair is a solution of y = x to the power of 2, minus 2. Choices: (5,21), (-5, 24), (-1, -1), (-2, 6)

Answers

ohhh i get it that one dude is right it is c

Answer: Below

Step-by-step explanation:

Y and x can be any number you have to start of with a number for x, you can't put (y,x)^2-2 if you don't know a value  

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