A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inches. If a can of soup this size costs $1.99, what is the cost for each serving of soup? Round to the nearest cent.

Answers

Answer 1

Answer:   The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                  48.08 in³ ---------------- $1.99

                        15  in³ ----------------  x

                         x = (15 x 1.99)/48.08

                         x = 29.85/48.08

                         x = $0.62


Related Questions

What is the solution to this equation?
m – 3 = 9


m=9


m=6


m=3


m=12

Answers

Answer: m=12

Step-by-step explanation:

Answer:

m=12

Step-by-step explanation:

m - 3 = 9

You have to make sure

that m stands alone,

that's making m the subject.

So -3 have to cross the equal to sign,

to become +3

m = 9 + 3

m = 12

Hope this help. I wish you all the best

A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
10 m
10 m
6 m
16 m
What is the value of B?
36 m2
48
18 m2
54 m?
30 m

Answers

The area of the base of the triangular prism is 48 square meters. Then the correct option is B.

What is a triangular prism?

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A triangular prism has a height of 6 meters and a triangular base with the following dimensions.

The figure is shown below.

Then the area of the base of the triangular prism will be

[tex]\rm Area = \dfrac{1}{2} \times 16 \times 6\\\\Area = 48[/tex]

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What is 40/36 simplified?

Answers

Answer:

40/36 simplified is 10/9

Step-by-step explanation:

40 ÷ 4

36 ÷ 4

Reduced fraction:

10/9

Therefore, 40/36 simplified to lowest terms is 10/9.

Answer:

10/9

Step-by-step explanation:

i hope this helps you good luck on your quiz or lesson! :)

also thanks for the points and not to boher you but can i please have brainlliest thanks

Any other question tell me in the comments!

2. Which situation does have a final value of 0? A. A jet tose lo a height of 1000 feet ubove the ground. It then descended to a height of 100 feet. B. The tempetature at 1:00 p.m. was 10"F. It dropped another 10 over 4 hours. C Pace deposits $10 in his account and then withdrew $10. D. Keith guinod 8 yards during the first quarter of the football game and then lost 8 yards during the second quarter. pls helpp​

Answers

12.30 is the answer

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

No

Step-by-step explanation:

If you look at the graphs of the two expressions when x > 8

 you will see that 2^x is greater

Yes that's true

because

As we can observe the table

The values of 5x²

5204580

The values of 2^x

24816

Clearly Tyler is correct

But

This is just according to table

After some while 2^x will shift gears to go ahead of 5x² side

Example

2^9=256=5125(9)²=5(81)=405

help me answer this pls

Answers

Answer:

Area is = 40

Explanation:

To find the area of a parralelgram use this formula A=b×h

So . .

The base is 20 feet and the height is 4 feet.

So . .

A= 20 × 4 = 40

A=40

The coordinates of the vertices of a triangle are A(-1, 2), B(3, 1), and C(-3, -2). The coordinates of the vertices of its image are A'(3, -2), B(7, -3), and C'(1, -6). What transformations would result in this image?

Δ ABC was translated up 4 units and left 4 units.
Δ ABC was translated left 4 units and down 4 units.
Δ ABC was translated up 4 units and right 4 units.
Δ ABC was translated right 4 units and down 4 units.
Best answer gets brainliest!

Answers

Answer:

the answer is ABC was translated right 4 units and down 4 units. hope this helped

what is 722 divided by 9

Answers

80.2 is the correct answer. Or 80.22222

Answer: Heyaa! ~

772 divided by 9 is... 80.2

Step-by-step explanation:

Lets solve! ~

Reduce the expression if possible by cancelling the common factors.

Hopefully this helps you! ^^

Solve the equation E = v + Ir for r
A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work

Answers

Answer:

A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Step-by-step explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

DO NOT ANSWER IF YOU DON'T KNOW. AND NO GUESSES!
In the following table of values, what would be the value of “b” in ax2 + bx + c?

–2, –9

–1, –1

0, 9

1, 21

2, 35

Answer choices:
1
9
11
22

Answers

Answer:

11

Step-by-step explanation:

I used a bunch of formulas that would clog this page, so I can't put them down.  Sorry if it's wrong

which of these numbers: 3,4,18,111,123,340,345,456,555 are divisible by 3 but not 9

Answers

Answer:

3

Step-by-step explanation:

3÷3=1

cant be divided by 9 and get a whole number

3÷9=.33333

Verify if x > 1 is the solution to the inequality 7 - 4x > −2 (3x - 5).​

Answers

Answer:

No, x>3/2

Step-by-step explanation:

Too lazy sorry.

Solve 1 over 3 (2x - 8) = 4

Answers

Answer:

X=10

Step-by-step explanation:

1. 1/3 (2x-8)=4

2. 2x/3 - 8/3 = 4

3. 2x/3 = 4+2 2/3

2x/3 = 6 2/3

2x/3 = 20/3(Criss cross method)

6x = 60

x=10

brainly pls!

Please help meeeee !

Answers

Answer: 3(5/8)
Attached is the process

=
Given that f(x) = 2x – 2 and
g(x) = 3x, evaluate
,
f(g(-1))

Answers

Hope this is not confusing.

Write an equation to match each graph.

I already tried y=[x] that didn’t work

Answers

Answer:

y=|x|

Step-by-step explanation:

We know

general modulus function passes through origin as |0| is 0

And it's symmetric on both sides of y axis .

As it's not one -one function

Means

f(-1)=|-1|=1f(1)=|1|=1

So the graph is y=|x|

Answer:

y = |x|

Step-by-step explanation:

The equation for the part of graph to the right of the y-axis is:  

y = x  where y ≥ 0

The equation for the part of graph to the left of the y-axis is:  

y = -x  where y ≥ 0

So we can see that both a positive and negative value of x gives the same positive value of y.

Therefore, we can create an equation for the graph by using the absolute value of x:

⇒ y = |x|

Absolute value means how far away a number is from zero.

"x" is x away from zero and "−x" is also x away from zero.

So the absolute value of x is x, and the absolute value of −x is also x.

The bars either side of the x shows that we want the absolute value of x.

In practice, think of "absolute value" as removing any negative sign in front of a number.

With y = x  →  when x = 1, y = 1  and  when x = -1, y = -1

With y = |x|  →  when x = 1, y = 1  and  when x = -1 we think of it as x = 1, so y = 1

need help with sigma notation

Answers

Answer:

114126  

Step-by-step explanation:

The given expression describes the GP with

The first term:

t = 80(1.23²⁻²) = 80(1.23⁰) = 80

The common ratio:

r = 1.23

It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)

The number of terms is

n = 29 - 2 + 1 = 28

The sum of the first 28 terms is

Sₙ = t(rⁿ - 1)/(r - 1) S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)

Answer:

114,126 (nearest whole number)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

Given:

[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]

The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.

First term (a)

Determine the first term by substituting n = 2 into the given expression:

[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]

Common ratio (r)

From inspection, the common ratio is 1.23.

nth term

As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.

Therefore:

a = 80r = 1.23n = 28

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Substituting the given values into the formula:

[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]

Therefore, the sum of the given geometric series is 114,126 (nearest whole number)

The area of a circle is 88.44 cm² find the length of the radius rounded to 2 DP

Answers

The radius of the circle is 5.30 cm.

What is a radius?

A radius is a line that extends from the center of a circle to any point of the circumference.

To calculate the length of the radius of the circle, we use the formula below.

Formula:

A = πr²......... Equation 1

Make r the subject of the equation

r = √(A/π).................. Equation 2

Where:

A = Area of the  circler = Radius of the circleπ = Pie

From the question,

Given:

A = 88.44 cm²π = 22/7

Substitute these values into equation 2

r = √(88.44/(22/7))r = √(88.44×7/22)r = √(28.14)r = 5.30 cm

Hence, the radius of the circle is 5.30 cm.

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Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.

Answers

Samantha and Mia are 13 km apart from each other.

What is Pythagoras theorem?

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

As Mia walked 7km/h and she is 7 km north of Julia's house.

and, Samantha walked 11km/h and she is 11 km west of Julia's house.

The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.

the distance between the girls is shown by, hypotenuse of triangle

Using Pythagoras theorem,

[tex]H^{2} =P^{2} +B^{2}[/tex]

[tex]H^{2} =7^{2} +11^{2}[/tex]

[tex]H^{2} =49+121\\[/tex]

H= [tex]\sqrt{170}[/tex]

H= 13.038

H= 13 Km

They are 13 km apart from each other.

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Answer:

13.0 km

Step-by-step explanation:

what is 2 times 2 times 5 times 6 divided by 3 and subtracted 3 and plus 1?

Answers

Answer:

38

Step-by-step explanation:

2(2) = 4

4(5) = 20

20(6) = 120

120/3 = 40

40 - 3 = 37

37 + 1 = 38

Please help with this. I don’t understand what I’m doing. It’s due tonight

Answers

Answer:

.0006

Step-by-step explanation:

I'm not sure if this is correct.. sorry if this is wrong.. :(

what shape always has four congruent sides

Answers

Answer:

A rhombus

Step-by-step explanation:

A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.

Answer: rhombus

Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Prove .. help me pls

Answers

Answer:

Step-by-step explanation:

Find the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm. Use the value 3.14 for , and do not do any rounding. Be sure to include the correct unit. 6 cm 8 cm​

Answers

The surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

What is surface area?

The area of the outer layer of any object or cylinder is called the surface area. Here we have a cylinder with a base radius of 6 cm and a height of 8 cm.

The formula for the surface area of a cylinder:-

SA = 2πrl

SA = 2 x π x 6 x 8

SA = 301.6 cm ²

Therefore the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

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I don't understand someone help pls

Answers

Answer:

Find x

The angles are corresponding.

We have

x+35°+90°=180 (angles in a triangle)

x= 55°

Please give Brainliest

Answer:

x = 20 degrees

Step-by-step explanation:

I cannot give a thorough explanation but I will show my workings and reasoning.

Reasoning:

Vertically opposite angles are equal

Angles in a triangle add up to 180 degrees

Workings:

35 multiplied by 2 is 70

70 add 90 is 160

180 minus 160 is 20

x = 20

How to find the simple interest rate if P=$4,000. T=2 years . And I= $320
And pls explain how I can find simple interest in every question bc I’m stressing about math finals

Answers

Answer:

3.2

Step-by-step explanation:

Formula to find the simple interest rate :

S.I. = [tex]\frac{PRT}{100}[/tex]

Formula to find R (simple interest rate) :

R = [tex]\frac{100*S.I.}{P*T}[/tex]

Since you have I (interest amount), we can use this formula instead :

R = [tex]\frac{I}{PT}[/tex]

R = [tex]\frac{320}{4,000*2}[/tex] = 4%/year or 0.04

Now plug this into the first formula

S.I. = [tex]\frac{4,000*0.04*2}{100}[/tex] = 3.2

i haven't done this in a while so hope this helps !!

Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56

Answers

The simplest form of the expression (x + 7)(3x − 8) is 3x²  + 13x - 56

How to determine the simplest form of this expression?

The expression is given as:

(x + 7)(3x − 8)

Expand the expression

3x² - 8x + 21x - 56

Evaluate the like terms

3x²  + 13x - 56

Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x²  + 13x - 56

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f(x) = x2. What is g(x)?

Answers

Answer:

A.  g(x) = -x^2 - 3.

Step-by-step explanation:

If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)

To get g(x) we then translate the image 3 units down,

g(x) = -x^2 - 3.

Which of the following is the
correct way to express
3.7 x 10-3 in standard form?
A 3.7
B 3,700
C 0.0037

Answers

Answer:

0.0037

Step-by-step explanation:

In scientific notation, if the exponent is negative, you shift the decimal to the left to find the number in standard form.

C. 0.0037
the negative in -3 signifies the decimal point moves to the left!!


HELP PLS !!!! help help help

Answers

Answer:

x = 6

Step-by-step explanation:

(17*6)+6 = 108

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