The cost for each serving of soup is $0.62
Step-by-step explanation:
Diameter =3.5 inches
Radius = 1.75 inches
Height = 5 inches
Each serving of soup = 15 cubic inches
Cost of the can = $1.99
Volume of the can = π(1.75 x 1.75) 5
= (3.14) (3.0625) 5
= 48.08 cubic inches
For 48 cubic inches of soup the cost is $1.99
For 15 cubic inches of soup the coat will be,
Cost = (15x1.99) /48
= $0.62
The cost for each serving of soup is $0.62
Final answer:
Calculate the volume of the soup can and determine the cost for each serving by dividing the total cost by the volume per serving. The cost per serving of soup is approximately $0.62.
Explanation:
To find the volume of the soup can:
Calculate the radius by dividing the diameter by 2: 3.5 inches / 2 = 1.75 inches.Use the formula for the volume of a cylinder: V = πr²hSubstitute the values to find the volume: V = 3.142 × (1.75 inches)² × 5 inches ≈ 48.32 cubic inchesTo find the cost per serving:
Divide the cost of the can by the total volume: $1.99 / 48.32 ≈ $0.041 per cubic inch.Multiply the cost per cubic inch by the volume per serving: $0.041 x 15 cubic inches ≈ $0.62Therefore, the cost for each serving of soup is approximately $0.62, rounded to the nearest cent.
What single transformation was applied to quadrilateral A to get to quadrilateral B
a.)translation
b.)rotation
c.) reflection
d.) Dilation
Answer:
B. a rotation
Step-by-step explanation:
The shape appears to have the same size, but it has been moved in a way that is not reflection. Through the process of elimination, the answer is rotation.
Answer:
D.) dilation
Step-by-step explanation:
Triangle JKL are drawn on a coordinate plane. The coordinates are J: (2,4) K: (1,1) and L: (4,0). Using the scale factor of 2, what is L'?
A. (4,2)
B. (8,2)
C. (8,0)
Answer:
c
Step-by-step explanation:
Which addition does the model below represent?
A. 3+(-1)
B. 3+4
C. 3+ (-4)
D. 3+1
Answer:
C. 3+ (-4)
Step-by-step explanation:
First we have three but then we go back 4 spaces which results in -1
The simplified answer of C. would be 3-4= -1
Answer:
C.
Step-by-step explanation:
Find the value of x. Give the answer in simplest radical form.
Answer:
X = 8√2.
Step-by-step explanation:
In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.
So here, x = 8 and the side X = 8√2.
The pyramids have always fascinated Kristina, so she wants to build two model pyramids to put on her mantel. She wants her model of Khufu’s pyramid to have a volume of 73.5 cubic inches and a height of 4.5 inches. What would the side length of the base of the pyramid be? Is this number rational or irrational? Why?
Answer:
Side length = 7 inches
This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)
Step-by-step explanation:
The volume of the pyramid can be calculated as:
V = (1/3)*A*h
Where V is the volume, A is the area of the base and h is the height.
If the volume is 73.5 in3 and the height is 4.5 in, we can find the area of the base:
73.5 = (1/3)*A*4.5
A = 73.5*3/4.5 = 49 in2
As the pyramid have a square base, we can calculate the side length of the base:
A = L*L (L = length)
49 = L^2
L = 7 inches
This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)
Answer:
7 rational a rational number is a whole number
Step-by-step explanation:
Finding the area in this composite figure
To solve for the area of a composite figure, break it down into simpler shapes and calculate their areas, ensuring all measurements are in the same units and converting if necessary, then add the areas together and express the answer to the correct number of significant figures.
Explanation:The question is about finding the area of a composite figure, which is often a problem in high school mathematics. When calculating the area of a composite figure, we can break it down into simpler shapes such as rectangles and triangles. The area of a rectangle is found by multiplying its height by its width, while the area of a triangle is half the product of its base and height. We can then add these areas together to get the total area of the composite figure. It's important to ensure that all measurements are in the same units before performing the calculation. If necessary, we use conversion factors to change to the appropriate units and report the final answer to the correct number of significant figures.
For example, if we are given a rectangle with dimensions provided in meters and centimeters, we convert all measurements to the same unit, usually the meter, before calculating the area. To maintain accuracy, we use the fact that the number 1 and 100 in the conversion factors (such as 1m = 100 cm) are exact numbers and do not impact the significant figures of our final answer.
The number of hours of TV watched each week by 8 seventh grade students is shown below.
11, 7, 9, 3, 3, 8, 10, 5
a. What is the mean number of hours of TV watching?
b. Mean absolute deviation =
c. Explain the meaning of the mean absolute deviation as it relates to the number of hours of TV watched.
Answer:
(a)Mean=7 Hours
(b)Mean Absolute Deviation=2.5 Hours
Step-by-step explanation:
Given the number of hours of TV watched each week by 8 seventh grade students shown below.
11, 7, 9, 3, 3, 8, 10, 5
(a)Mean
[tex]Mean=\dfrac{\text{Addition of all the terms}}{\text{Number of Terms}} \\=\dfrac{11+7+9+3+3+8+10+5}{8} \\=\dfrac{56}{8} \\$Mean Number of Hours=7[/tex]
(b)Mean absolute deviation
[tex]M.A.D=\dfrac{|11-7|+|7-7|+|9-7|+|3-7|+|3-7|+|8-7|+|10-7|+|5-7|}{8} \\=\dfrac{4+0+2+4+4+1+3+2}{8} \\=\dfrac{20}{8}\\$Mean Absolute Deviation=2.5 Hours[/tex](c)The Mean Absolute Deviation tells us how far, on average, all values are from the mean. The Mean absolute deviation of 2.5 Hours tells us that each hour is on the average far from the mean number of hours by 2.5 Hours.
Solve for x. −18<9x
Answer:
ok its 6969 np btw <3;)
Find the slant height of the pyramid shown.
Answer:
B is the correct answer ( square root of ten)
Step-by-step explanation:
I just did it and got it right
The slant-height of the pyramid having perpendicular height as 3 units, base as 1 unit is : (b) √10.
A Pyramid is a three-dimensional geometric shape with a polygonal base and triangular faces that meet at a single point called the apex. The base can be any polygon, and the number of sides of the base determines the type of pyramid (e.g., a square base yields a square pyramid)
The "Slant-Height" of the given pyramid can be calculated by using Pythagoras-Theorem, which states that; (slant-height)² = (perpendicular)² + (base)²;
Substituting Perpendicular height as 3 units, base as 1 unit, and slant-height as "x";
We get,
⇒ 3² + 1² = x²,
⇒ x² = 9 + 1,
⇒ x² = 10,
⇒ x = √10,
Therefore, the slant-height is √10, option (b) is correct.
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The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.
When comparing the shapes of the two sets of data, what conclusion can someone draw?
The shortest boy is taller than the shortest girl.
The range for the girls is greater than the range for the boys.
There is an outlier in the data for the boys, but not for the girls.
The girls are generally taller than the boys.
Mark this and return
Which expression is equivalent to 36+12m?
Answer:
The second one
Step-by-step explanation:
Answer:
12(3+m)
Step-by-step explanation:
36 + 12m
Factor out 12
12*3 + 12*m
12(3+m)
HELP! let f(x) = 7x - 4. what is f(6)
Answer:
the answer was 38 sorry
Step-by-step explanation:
Answer:
F(6) = 38
Step-by-step explanation:
F(x) = 7x - 4
Plug in 6 where x is
F(6) = 7(6) - 4
Multiply
F(6)= 42 -4
Subtract
F(6) = 38
Two angles of a quadrilateral measure 100° and 90°. The other two angles are in a ratio of 3:14. What are the measures of those two angles?
quadrilaterals.
Answer: 3=30 14=140
Step-by-step explanation:
100+90=190 360-190=170
3+14=17 170 divided by 17=10
3x10=30 14x10=140
Answer: They other measures of the quadrilateral are 30° and 140°.
Step-by-step explanation:
360 - 190 = 170 then 3/17 x 170 gives 30 then 14/17 x 170 gives 140.
Consider this system of equations. Which equation represents the first equation written in slope-intercept form?
5 x minus 2 y = 10. y = one-fourth x + 1.
y = five-halves x minus 5
y = five-halves x + 10
y = negative five-halves x + 10
y = negative 5 x minus 5
Answer:
y= 5/2x - 5
Step-by-step explanation:
5x - 2y = 10
-5x -5x (Subtract both sides by 5x to leave y by itself)
-2y = -5x + 10
-2y/-2 = -5/-2 + 10/-2
(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.
y = 5/2 - 5
Answer:
A
Step-by-step explanation: i think tell me if im wrong
What is the value of x?
Answer:
x=15
Step-by-step explanation:
Definition of Isosceles triangle --- two side lengths are always equal!
Answer: 15
Step-by-step explanation: By looking at the shape, you can tell it's the exact same size.
How do I explain to a kid what volume mean?
Answer:
You could explain it with a box. Fill a box to the brim with objects. Tell him/her that volume is the stuff inside the box. Even if there are no objects in the box, there is still air. That is volume.
Answer:
It is a sound that can be adjusted
Step-by-step explanation:
Volume is something that is on all handheld or console like elctronics.
It can change the sound from loud to quiet.
Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20
The side lengths ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-angle triangle.
What is a right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given problem,
We know, in a right-triangle,
Hypotenuse² = Perpendicular² + Base²
For sides, 8, 15, 17
⇒ Hypotenuse ² = 8² + 15²
⇒ Hypotenuse² = 64 + 225
⇒ Hypotenuse = √289
⇒ Hypotenuse = 17
For sides, 15, 20, 25,
⇒ Hypotenuse² = 15² + 20²
⇒ Hypotenuse² = 225 + 400
⇒ Hypotenuse = √625
⇒ Hypotenuse = 25
Hence, we cam conclude, the sides, ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-triangle.
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Find the volume of the figure.
Answer:
233 in^3
Step-by-step explanation:
First we will find the volume of the square at the bottom
V = s^3 where s is the side length
V = 5^3
V = 125 in^3
Then we will find the volume of the rectangular prism at the top
V = l*w*h
V = 12*3*3
V =108 in^3
The total volume is the sum of the two volumes
V = 125+108
= 233 in^3
Answer:
233 in³
Step-by-step explanation:
Cube + cuboid
(5×5×5) + (3×3×12)
233 in³
Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are true about additional information for proving that the triangles are congruent? Select two options. If AngleA ≅ AngleT, then the triangles would be congruent by ASA. If AngleB ≅ AngleP, then the triangles would be congruent by AAS. If all the angles are acute, then the triangles would be congruent. If AngleC and AngleQ are right angles, then triangles would be congruent. If BC ≅ PQ, then the triangles would be congruent by ASA.
Answer:
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Step-by-step explanation:
It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
Since you only need to pick 2 answer choices, you can stop there.
If Angle A ≅ Angle T, then the triangles would be congruent by ASA
If Angle B ≅ Angle P, then the triangles would be congruent by AAS.
Congruent triangles:Since
Sides A C and T Q are congruent. Angles B C A and P Q T are congruent.
So here we can say that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So in the case when angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.
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How does the value of log 100 compare with the value of log 20?
The value of log 100 is about 4 times the value of loge 20
The value of log2100 is about 7 times the value of loge 20
The value of log2100 is about 3 times the value of log 20
O
The value of log2100 is about 3 times the value of loge 20
Answer:
option A
Step-by-step explanation:
log_2(100)
we can simplify it
we can use base change formula
log_2 (100)=\frac{ln\left(100\right)}{ln\left(2\right)}
log_2 (100)=6.643856
Second value is :
log_6(20)
we can simplify it
we can use base change formula
log_6(20)=\frac{ln\left(20\right)}{ln\left(6\right)}
log_6(20)=1.67195
so, we know that
6.6438 is almost 4 times of 1.67195
The value of log₂ (100) is about 4 times the value of log₆(20). The correct answer would be an option (A).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
The logarithms expression is given, as follows:
log₂(100)
It can use the base change formula,
log₂ (100) = ln (100) / ln (2)
log₂ (100) = 6.643856
The second value is :
log₆(20)
It can use the base change formula
log₆(20) = ln (20) / ln (6)
log₆(20) = 1.67195
Since 6.6438 is almost 4 times 1.67195
Hence, the correct answer would be option (A).
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Work Problem: Mrs. Perry needs Mr. Chesah's help painting her new office. Perry could paint her office in 4 hours. She heard that Chesah has the new PAINTMASTER3000...and could paint Perry's fancy new office in half the time. If they work together, how long would it take them to paint Perry's new office?
A 0.75 hrs
B 1.333 hrs
C 6 hrs
D 3 hrs
Answer:
6 hrs
Step-by-step explanation: If Im reading corectly your saying that Mrs. Perry is painting for 4 hours plus Mr. Chesah painting for 2 hours (half of 4 hours) Add them up and get 6 hrs. I hope this is what you meant.
To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. When two people work together, their work completion rates are added. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.
Explanation:To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. Let's say that Mrs. Perry can paint 1 office in 4 hours, which means her work completion rate is 1/4 offices per hour. Since Mr. Chesah can paint the same office in half the time, his work completion rate is 1/2 offices per hour.
When two people work together, their work completion rates are added. So, the combined work completion rate of Mrs. Perry and Mr. Chesah is 1/4 + 1/2 = 3/4 offices per hour.
To determine how long it would take them together to paint Perry's office, we can take the reciprocal of the combined work completion rate. This gives us 4/3 hours, which is equivalent to 1 hour and 20 minutes. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.
Solve the equation for x - 17 = 29
Answer:
X= 46
Step by Step explanation:
Move all terms not containing x to the right side of the equation.
You are given a random 4-digit PIN for your bank card. How many 4 digit PINs are
possible if the numbers can be repeated?
Answer:
There are 10,000 possible combinations that the digits 0-9 can be arranged to form a 4-digit pin code
Step-by-step explanation:
Answer:
10k
Step-by-step explanation:
Would anyone please be able to help me??
Answer:
a. = 111 inches squared b.= 506 inches squared c.=143 inches squared
Step-by-step explanation:
a.
To find the area I broke the shape into two parts one where you multiply 7 and 9 to get the area and one where you multiply 12 and 4 to get the area. The first area is 63 and the second is 48 and together the entire area is 111 inches squared
b.
To find the area here you do the same thing as a. you break the shape into two parts a part where you multiply 29 and 14 and a part where you multiply 20 and 5. In all you get 506 inches squared.
c.
I this problem you find the area of the triangle and the rectangle.The formula of the triangle is b times h times 1/2 in this case. 6 times 13 times 1/2 which is 39. the area of the rectangle is 8 times 13 = 104. So the total area is 143
Sorry i took so long I had to do something
13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indicated
parameter.
A psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness. Use P, the true percentage
of the population that suffers from extreme shyness.
OHo:p> 4.1%
Hips 4.1%
OHo: P = 4.1%
H:p> 4.1%
OHo: p < 4.1%
Hip 24.1%
OHo: P = 4.1%
Hip < 4.1%
Answer:
Null Hypothesis, [tex]H_0[/tex] : P = 4.1%
Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%
Step-by-step explanation:
We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.
Let p = true percentage of the population that suffers from extreme shyness.
So, Null Hypothesis, [tex]H_0[/tex] : P = 4.1%
Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%
Here, null hypothesis states that % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.
On the other hand, alternate hypothesis states that more than 4.1% of the population suffers from professional problems due to extreme shyness.
So, the above hypothesis would be appropriate for conducting the test.
What is 220kg increased by 12.5%
Answer:
247.5
Step-by-step explanation:
220 + (12.5% × 220)
220 + 12.5% × 220
(1 + 12.5%) × 220
(100% + 12.5%) × 220
112.5% × 220
112.5 ÷ 100 × 220
112.5 × 220 ÷ 100
24,750 ÷ 100 = 247.5
One of the solutions to x^2– 2x – 15 = 0 is x = -3. What is the other solution?
Answer:x=5
Step-by-step explanation: x^2−2x−15=0
(x−5)=0 x−5=0 x=5
Answer:
You have to factor the equation and the way you do this is to find two numbers that multiply to get -15 and add to get -2 and those numbers are 3 and -5 so the factors are (x+3) and (x-5)
You set them equal to 0 and solve for x
x+3=0 x=-3
x-5=0 x=5
SO THERE YOU HAVE IT: x=5!
Have a nice day!!!
-dsk-
Step-by-step explanation:
Which is the most efficient way to solve this equation?
x−57=135
A. Do nothing because the equation is already solved.
B. Subtract 135 from both sides of the equation so all terms will be on the same side of the equal sign.
C. Subtract 57 from 135 because x equals 78.
D. Add 57 to both sides of the equation because addition is the inverse operation of subtraction.
Answer: The Answer is D.
Step-by-step explanation: You are trying to get x by itself, and in order to do that, you need to get the 57 away from it. In order to do THAT, you need to do the opposite of what s already being done. Since your already subtracting it, in order to get it away from x, you need to add it to itself, and then add it to the other side, because what you do to one side, you do to one side, you must do to the other.
I wish my teacher could explain how to do this plz help
Answer: (-2,7)
Step-by-step explanation:
Answer:
The answer is c
Because it reflects over the y axis,soo the x axis stays the same
But the y dosent stay the same it turns into a negative
Brainliest plz
Happy to help
Step-by-step explanation:
An angle measures 30 degrees.
What is the measure of its complement (i.e., the complementary angle)?
The measure of the complimentary angle is 60 degrees.
Complimentary angle:The complimentary angle is the angle where the sum of angles should be 90 degrees
Since An angle measures 30 degrees.
So, the measure of an angle should be
= Sum of angles - one measurement of angle
= 90 - 30
= 60 degrees
Therefore we can conclude that The measure of the complimentary angle is 60 degrees.
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