At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a diameter of 3 inches, how many soda cans are in a pack? (Use 3.14 for pi)

At The Store, Jason Find The Volume Of A Soda Pack Is 423.9 In.. If Each Cylinder Shaped Can Has A Height

Answers

Answer 1

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]

Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.


Related Questions

Which pair of terms is alike?
A
X, 5x
B
3x, 2xy
C
2x, 2y
D
-4, -4y

Answers

Answer:

A

X, 5x

Step-by-step explanation:

A

X, 5x   yes, both variables are x

B

3x, 2xy   no, the first variable is x  the second is x times y

C

2x, 2y  no the first variable is x and the second is y

D

-4, -4y  no, the first is a constant and the second has a variable

Answer:

Pair A

Step-by-step explanation:

Pair A (x, 5x) are like terms.

Like terms are terms in a expression or equations with the same variables.

'x' and '5x' have the same variable (you can think of 'x' as '1x'), so they are like terms. All other pairs have different variables.

Hope this helps.

15 is divisible by 75 true or false ? need it right now :)

Answers

15 is divisible by 75 true or false

Answer:

True

I need help with #2 and 4 please help me T^T

Answers

Answer:

2. w = -90

4. b = 8

Step-by-step explanation:

Multiply both sides by the reciprocal of the number multiplying the variable.

2.

[tex] -\dfrac{2}{3}w = 60 [/tex]

[tex] -\dfrac{3}{2} \times (-\dfrac{2}{3}w) = -\dfrac{3}{2} \times 60 [/tex]

[tex] w = -\dfrac{180}{2} [/tex]

[tex] w = -90 [/tex]

4.

[tex] 9.6 = 1.2b [/tex]

[tex] \dfrac{1}{1.2} \times 9.6 = \dfrac{1}{1.2} \times 1.2b [/tex]

[tex] 8 = b [/tex]

[tex] b = 8 [/tex]

Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. The number of ducks and pigs in a field totals 38. The total number of legs among them is 100. Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many ducks and how many pigs are in the field. ducks pigs

Answers

5 legs because its 1000

jayden has two jobs. his full time job pays $17 an hour. a part time job pays $9 an hour. last week jayden worked 32 hours at his full time job and 14 hours at his part time job

Answers

Answer:

670

Step-by-step explanation:

32 hours at 17  plus 14 hours at 9

32 *17 + 14 *9

544+126

670

Answer:

job 1 = 544 dollars he made job 2 = 126$

Step-by-step explanation:

You multiply the amount he made for 1 hour by the total hours same thing with job 2.

5x + 15 = 75

State your answer as a decimal, not a fraction.

Answers

5x+15=75
-15
5x=60
X=12
Answer:

x = 12

Step-by-step explanation:

5x + 15 = 75

5x = 75 - 15

5x = 60

x = 60 : 5

x = 12

Find and simplify the following for ​f(x)=x(22-x), assuming h ≠ 0 in (C),a. f(x + h)b. f(x+h)- f(x)c. f(x+ h)- f(x)/h

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that f(x)=x(22-x)

a) f(x)=x(22-x)

f(x + h) = (x + h)(22 - (x + h))

f(x + h) = (x + h)(22 - x - h)

f(x + h) = (22x - x² - xh + 22h - xh - h²)

f(x + h) = (-x² + 22x - h²+ 22h - 2xh)

b) f(x)=x(22-x) = 22x - x²

f(x + h) = (-x² + 22x - h²+ 22h - 2xh)

f(x+h)- f(x) = (-x² + 22x - h²+ 22h - 2xh) - (22x - x²)

f(x+h)- f(x) = -x² + 22x - h²+ 22h - 2xh - 22x + x²

f(x+h)- f(x) = -x² + x² + 22x - 22x  - h²+ 22h - 2xh

f(x+h)- f(x) = - h²+ 22h - 2xh

c) f(x+h)- f(x) = - h²+ 22h - 2xh

[tex]\frac{f(x+h)-f(x)}{h}=\frac{- h^2+ 22h - 2xh}{h}\\ \\\frac{f(x+h)-f(x)}{h}=\frac{- h^2}{h}+\frac{22h}{h}-\frac{2xh}{h}\\\\\frac{f(x+h)-f(x)}{h}=-h+22-2x[/tex]

[tex]\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}= \lim_{h \to 0} (-h+22-2x )=22-2x[/tex]

can i plz get help? on these ?

Answers

Step-by-step explanation:

she is showing how many wheels are on each bike and skateboard,on each bike there are 2 wheels,on each skateboard there are 4 wheels. sarahs is different because she shows how many wheels are on each of those bikes

AB =4x+7
BC= 5x-8
AC=????

Answers

Answer:

i'm not sure so i'm sorry if it is not the right answer

Step-by-step explanation:

Let's assume AC is a straight line and B is on the line between A and C

AC=AB+BC

AC=4x+7+5x-8

AC=9x-1

You spin the spinner twice what is the probability of landing on 6 and then landing on 6 again

Answers

1/8 since 4*2=8 and there is one spot you can land on with 6.

Answer:

2/8

Step-by-step explanation:

If you are spinning it twice and there is 4 places that is where you get the 8        The 2 comes from how many times you are spinning

(Question is on the picture)

Answers

Answer:

Step-by-step explanation:

5. (6.5 - 2)/(7 - 4) = 4.5/3 = 1.5

6. (8 - 8)/(-5 - 10)= 0/-15= 0

7. (-3 + .75)/(4 - 1) = -2.25/3 = -.75= -3/4

8. (2 + 7)/(18 - 18)= 9/0 = undefined

solve for y. y/6 = 3/9 simplify your answer as much as possible​

Answers

Answer: y=2

Step-by-step explanation:

y/6 = 3/9        multiply both sides by 6/1 (since 6/1 times y/6 equals 1y or just y)

y = 18/9          now that y is isolated, just simplify 18/9

y=2                 18 divided by 9 is 2

find two consecutive odd integers such as that 6 times the lesser integer is 7 more than 5 times the greater integer​

Answers

Answer:

The first consecutive integer is 17 while the second is 19

Step-by-step explanation:

Let us say that the first odd integer is x

At this point, the second odd integer will be x+2.

This is because to obtain the next consecutive odd integer, 2 will have to be added to the original number.

From the question, we can set up an equation as shown below:

[tex]6x= 7+5(x+2)[/tex]

from this, we can simply evaluate and find out the value of x

[tex]6x=7 +5x +10\\x=17[/tex]

therefore, the first consecutive integer is 17 while the second is 19

Which of the following would you consider to be an example of a geometric line segment? Please
explain your answer or answers.
The 10-yard line on a football field
A scientist's line of vision as he looks into space with a telescope
A line of 15 dancers on stage
A light shone into the darkness
Hands of a clock

Answers

Answer:

The 10-yard line on a football field

Step-by-step explanation:

A geometric line segment is a straight path of points(that is a line) that has two end points (that is a beginning and an end). A 10 yard line on a football field is a line segment because it has two endpoints which is at the beginning of the 10 yard and at the end of the 10 yard.

A scientist's line of vision as he looks into space with a telescope is not a line segment because it extends forever (has no end).

A line of 15 dancers on stage is not a line segment, A light shone into the darkness is not a line segment because it continues forever and also, the hands of a clock is also not a line segment.

ok so I need help on this question. How would you evaluate this expression, -8x + 5 -2x - 4 + 5x when x=2. How would you write the expression in simplest form?

Answers

Answer:

Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants.

Step-by-step explanation:

(x-1)2/3+(x-1)1/3-6=0

Answers

Answer:

x=7

Step-by-step explanation:

Add 6 to both sides

Simplify

Expand the parentheses

Add 1 to both sides

Find each product. Then determine which conclusion can be drawn based on the results.

√2•√2
√5•√7
√ 2•18
√2•√6
The product of two irrational numbers is always rational.
The product of two irrational numbers can be rational or irrational.
The product of two irrational numbers is always irrational.
The product of two irrational numbers cannot be determined.

Answers

Answer:

Second answer:

"The product of two irrational numbers can be rational or irrational"

Step-by-step explanation:

notice from the first product

[tex]\sqrt{2} \,* \,\sqrt{2} = \sqrt{4} = 2[/tex]

that the product of two irrational numbers can give us a rational one.

from the other three examples, the answer for the products always contains a square root that cannot be reduced, so they all result in an irrational number.

Then, depending on the type of irrationals used, the product can be either rational or irrational.

Veronica deposited $11 in a savings account that earns 1.9% simple interest. Which graph represents this scenario?

Answers

Answer:

Option C

Step-by-step explanation:

Initial balance= $11Interest rate = 1.9% PA simple

It will be graphed as function:

y = 11 + 0.019x

Since is has a very small slope of 0.019 it will be shown almost parallel to x axis.

Some points on the graph:

Amount in 1 year= 11*(1+0.019) = $11.21Amount in 2 years = 11*(1+2*0.019) = $11.42Amount in 6 years = 11*(1+6*0.019) = $12.25Amount in 10 years = 11*(1 + 10*0.019) = $13.09

Correct graph is option C

You and two friends pay $40 for tickets. The cost was divided three ways in the ratio 1 : 3 : 6. How much did each person pay

Answers

Answer:

first person payed$4, second person payed$12 and the third person payed $24

Step-by-step explanation:

find the sum of the ratio

find

1 divided by the total ratio time $40 to get first person

follow in that order to get the amount each person payed.

a+2a-1=11


Be quick please :D

Answers

Answer:

[tex]a=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]a+2a-1=11[/tex]

First, combine like terms:"

[tex]3a-1=11[/tex]

Now, add 1 to both sides:

[tex]3a=12[/tex]

Divide both sides by 3:

[tex]a=4[/tex]

And we're done!

Question Which of the following statements are equivalent to the statement "Not all cats do not like having their belly rubbed"?​

Answers

Is this actually a Mathematics question?

what decimal is longer than 8.5 cm

Answers

Answer:

8.5555

Step-by-step explanation:

This number is not only larger, but also longer in digits than 8.5.

___________________________________________________I AM ALWAYS HAPPY TO HELP :)

HELP PLZ NEED ASAP AND BRAINLIEST Simplify the complex fraction. In complete sentences, explain the process that you followed to simplify the fraction. Include the LCD and simplified form in your answer. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

A-9/a / 1-3/a=

Answers

Answer:

the answer is a+9/2

Step-by-step explanation:

a-9/a/1-3/a

=a-9/a/-2/a

=a+9/a/2/a.

( dividing two negatives is equal to positive)

=a+9/a*a/2

doing reciprocal

=a+9*1/2

reduce the expression"a"

=a+9/2

find the product

answer is a+9/2

A store recorded the number of sweatshirts sold on several days throughout the year. The
scatterplot shows the relationship between the average daily temperature and the number of
sweatshirts sold.
Complete the following statement.
For every 10-degree increase in temperature, the store sells approximately
fewer
sweatshirts
A. 5
B. 10
C 30
D.50

Answers

Answer:

30

Step-by-step explanation:

For every 10-degree increase in temperature, the store sells around 50 fewer sweatshirts. The correct option is D.

What is regression analysis?

Regression analysis is a group of statistical procedures used in statistical modeling to determine the relationships between a dependent variable and one or more independent variables.

A scatter plot is a particular kind of plot or mathematical diagram that displays values for typically two variables for a collection of data. It uses Cartesian coordinates. When the points are coded, a further variable can be seen.

Given that store recorded the number of sweatshirts sold on several days throughout the year. The scatterplot shows the relationship between the average daily temperature and the number of sweatshirts sold.

Here is the scatter plot, it is observed that by increasing the temperature the number of sweatshirts sold is decreasing. For every 10-degree depression of temperature, the number of the sells is decreased by 50.

Therefore, for every 10-degree increase in temperature, the store sells around 50 fewer sweatshirts. The correct option is D.

To know more about regression analysis follow

https://brainly.com/question/26755306

#SPJ2

A football is thrown by a quarterback to a receiver. The points in the figure show the height of the​ football, in​ feet, above the ground in terms of its​ distance, in​ yards, from the quarterback. Use this information to solve the problem. Find the coordinates of point B.

Answers

Answer:

Coordinates of the point B will be (14, 3.5).

Step-by-step explanation:

From the graph attached,

Distance between the Quarterback and Receiver = x-coordinate of the point B = 14 yards

Similarly, height of the football from the ground at point B = y-coordinate of the point B = 9 + [tex]\frac{12-9}{2}[/tex]

                   = 9 + 1.5

                   = 10.5 feet

Since, 1 feet = [tex]\frac{1}{3}[/tex] yards

10.5 feet = [tex]\frac{10.5}{3}[/tex]

               = 3.5 yards

Therefore, coordinates of the point B will be (14, 3.5).

are points a c d and j coplanar

Answers

We have nothing to work with because you gave us nothing to work out so we cannot answer.
I’m sorry but there is no image, therefore I cannot help you.

find three consecutive integers whose sum is 63

Answers

What three consecutive integers have a sum of 63? Which means that the first number is 20, the second number is 20 + 1 and the third number is 20 + 2. Therefore, three consecutive integers that add up to 63 are 20, 21, and 22.

Solve:
1. (12+a) / 47 = - 18

Answers

Answer:

a= -858

Step-by-step explanation:

46 times -18 equals -846

-846-12 equals -858

Answer:

a=-858

Step-by-step explanation:

12+a=846

a=-846-12

a=-858

5. A group of hikers descended 1,200 feet from a
mountain in 3 hours. What was the change in elevation
per hour? Write your answer as an integer.

Answers

Answer:

300 feet an hour

Step-by-step explanation:

in three hours they went down 1200 feet so that means in 1 hour they will go down 300 feet if they take no break

Can you please help with question 2 and explain your work?

Answers

Answer:

Find AC+CB

Step-by-step explanation:

Answer:

Find [tex]AC + CB[/tex]; 10

Find AB; 10

Step-By-Step Explanation:

[tex]AC (3) + CB (7) = 10[/tex]

Find AB is the same thing, just phrased differently.

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