Mathematics Middle School

    A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters.
What is the volume of the prism?

Enter your answer in the box as a simplified mixed number or a decimal.

Please Help! Quickly!

Answers

Answer 1
First we need to convert our fractions into decimals, it's just a lot easier to work with.
2 1/2 is equal to 2.5
2 1/4 is equal to 2.25
Then we plug our numbers into the formula used to find the volume of a rectangle:
V=L*W*H
Volume equals Length times Width times Height.
V=2.5*4*2.25
V=22.5
22.5 is already in decimal form, or if you'd rather have a mixed number, your answer is 22 [tex] \frac{1}{2} [/tex]
Answer 2

Volume of rectangular prism is [tex]11\frac{1}{4}[/tex] cm³

Volume based problem;

Given that:

Length of prism = [tex]2\frac{1}{2}[/tex] meter = 5/4 meter

Width of prism = 4 meter

Height of prism = [tex]2\frac{1}{4}[/tex] meter = 9/4 meter

Find:

Volume of rectangular prism = lbh

Volume of rectangular prism = [5/4][4][9/4]

Volume of rectangular prism = 45 / 4

Volume of rectangular prism = [tex]11\frac{1}{4}[/tex] cm³

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Related Questions

Letitia has 7 1/6 yards of yellow ribbon, 5 1/4 yards of orange ribbon, and 5 1/6 yards of brown ribbion. How much ribbion does she have altogether

Answers

7 1/6+ 5 1/4+ 5 1/6=17 7/12yards of ribbon
To find the total amount of ribbon she has, we need to add up all of the fractions.

First, we need to find the common denominator.

6 × 2 = 12
4 × 3 = 12

Our least common denominator is 12.

Now, we convert the fractions and add.

7 1/6 = 7 2/12
5 1/4 = 5 3/12
5 1/6 = 5 2/12

7 2/12 + 5 3/12 + 5 2/12 = 17 7/12

Hope this helps!

The expression 12g12g12, g gives the number of kilometers a car can travel using ggg liters of gasoline. How far can this car travel on 5 \dfrac125 2 1 ​ 5, start fraction, 1, divided by, 2, end fraction liters of gasoline?

Answers

Answer:
The car can travel 66 miles using 5.5 liters of gasoline

Explanation:
We are given that:
The expression 12*g is used to evaluate the number of miles the car can travel using g liters of gasoline.
Therefore:
miles = 12*g

Now, we are given that the liters of gasoline = 5[tex] \frac{1}{2} [/tex] = 5.5 liters.
To get the number of miles, all we have to do is substitute with the given liters in the above expression as follows:
miles = 12*g
miles = 12 * 5.5
miles = 66 miles

Hope this helps :)

HEEEEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:
y = 3x - 8

Explanation:
The equation in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope = 3
Therefore, the equation becomes:
y = 3x + c

Now, we need to get the value of c. We are given that the point (6,10) belongs to the line. Therefore, we will substitute with this point in the equation of the line and solve for c as follows:
y = 3x + c
10 = 3(6) + c
10 = 18 + c
c = 10 - 18
c = -8

Based on the above, the equation of the line is:
y = 3x - 8

Hope this helps :)

how do you find the slope intercept form if you are given two triangles with one point over laped?

Answers

Hi there!

If one edge of both of the triangles form a straight line, you take the units of rise (y values) and divide it by the run (x values) of any one of the triangles. 

Hope this helps!

Solve for x. 6x^2−2=13

Answers


[tex]6 {x}^{2} - 2 = 13[/tex]
You add both sides by 2
[tex]6 {x}^{2} = 15[/tex]
[tex] \frac{ {6x}^{2} }{6} = \frac{15}{6} [/tex]
[tex] {x}^{2} = \frac{15}{6} [/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{15}{6} } [/tex]
[tex]x = \sqrt{ \frac{15}{6} } [/tex]

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.

Answers

46 + 176 = 222 males
254 + 364 = 518

Which is  total of 740 people.

The probability of being male is 0.3

46 + 254 = 300 that bring lunch
176 + 264 = 440 that buy their lunch 
P(male | buy lunch ) = 0.4

Answer D 

The events "male” and "buys lunch” are not independent because

P(buys lunch | male) = 0.3 and P(male) = 0.4.

Option C is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We are given that,

P(buys lunch | male) = 0.3 (the probability that a male student buys lunch)

P(male) = 0.4 (the probability that a student is a male).

These values suggest that there is a dependence between the two events.

The probability of buying lunch at school may be different for males and females.

The conditional probability P (buys lunch | male) is not equal to the marginal probability P(buys lunch) if the events "male" and "buys lunch" are dependent.

To confirm this,

We would need to calculate the conditional probability

P(buys lunch | female) (the probability that a female student buys lunch).

If this probability is different from 0.3 (the probability for males), then the events "male" and "buys lunch" are dependent.

Therefore,

The events "male” and "buys lunch” are not independent because

P(buys lunch | male) = 0.3 and P(male) = 0.4.

Learn more about probability here:

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Find the measure of side b.

Answers

b=202.25 
cos (angle)=adjacent/hypotenuse

Which of the following points is a solution of y > |x| + 5?

(0,5)

(1, 7)

(7, 1)

Answers

The answer is the second option, (1,7).
Let's put it into the inequality. 
7 > |1| + 5
The absolute value of 1 is 1 because it is 1 away from zero. So:
7 > 1 + 5 
1 + 5 is 6. 
7 > 6 

Hope this helps!

I need help on 4, 5 :)

Answers

what do you need help with? it helps us to know the question!

Find the distance represented by 2.6 in. if the scale 1 in. = 50 mi. is used.

Answers

Answer:

10inch

Step-by-step explanation:

Please help for number 2!

Answers

what do you need help with? it helps us to know the question!

What is the rule of 5832,blank,648,216,72,blank,8

Answers

Divide the number by three or multiply by 1/3

Identify the question that is NOT statistical.

A)What is the maximum number of swimmers allowed on a swim team?
B)What were the times of the top five swimmers in the competition?
C)How many people attended on each of a three day competition?
D)How many tickets were purchased by each school for the competition?

Answers

A)What is the maximum number of swimmers allowed on a swim team?

Answer:

A)What is the maximum number of swimmers allowed on a swim team?

Step-by-step explanation:

usatestprep

What is x- and y- intercept of -7x + 2y= 14

Answers

The y-intercept is (0,7) and the x-intercept is (-2,0).

You have a 64 foot of fencing. What are the dimensions of the rectangle of the greatest area you could enclose?

Answers

In a rectangle, opposite sides are congruent.
Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.

The rectangle has sides of length x and 32 - x.

The area of the rectangle is

A = LW

A = x(32 - x)

A = 32x - x^2

y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.

32x - x^2 = 0

(32 - x)x = 0

32 - x = 0 or x = 0

x = 32 or x = 0

Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.

At x = 16, you get maximum area.

Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.

Since all sides turned out to have length 16 ft, the rectangle is a square.

Answer: The maximum area is enclosed by a square with side 16 ft.

An item selling for $1102 is reduced to $806. To the nearest whole, what is the percent decrease?

Answers

The answer is 296. Hope this helps:)
The 26% decrease would be $1102-$287 which equals $815 while a 27% decrease would be $1102-$298 which also doesn't equal $806. So therefore, the answer is 26.9%because that would equal $1102-$296 which equals $806.

15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 toddlers drink water with their lunch? (a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table model, that’s fine too!) and label the “part,” “whole,” and “percent.”

Answers

Answer: There are 20 toddlers in the class.

To solve this problem, you can use the percent proportion. I set it up below and then solved it.

part/whole = percent/100

3/x = 15/100

Cross multiply and divide to solve.

15x = 300
x = 20

There are 20 toddlers in the class.

Last year Anthony earned $24,000. After a brief lay-off this year, Anthony's income is $18,500.

What I am basically trying to find is the Percent Of Change and I have to state whether or not the change is an increase or a decrease.

Answers

The answer is 23% Decrease :)

Final answer:

Calculate the percentage change in income, find a decrease of 22.92% from last year to this year.

Explanation:

Given:

Original income = $24,000
Current income = $18,500

Step 1: Calculate the change in income:
Change in income = New income - Original income = $18,500 - $24,000 = -$5,500

Step 2: Calculate the percentage change in income:
Percentage change = [(Change in income) / (Original income)] x 100
= [(-$5,500) / ($24,000)] x 100
= -22.92%

Step 3: Interpretation:
The percentage change is -22.92%, indicating a decrease in income by 22.92%.

Write an algebraic expression that illustrates the multiplicative identity.

Answers

The multiplicative identity shows us that any time you multiply something by the number 1, the result would be what you started with.

Ex: 1(m) or 1 x m.

The reason for thusbis that when you are multiplying you are representing groups of something, so 1 group of anything or m, would just be that anything or m in this case!

Answer:

The multiplicative identity shows us that any time you multiply something by the number 1, the result would be what you started with.

Ex: 1(m) or 1 x m.

The reason for thusbis that when you are multiplying you are representing groups of something, so 1 group of anything or m, would just be that anything or m in this case!Step-by-step explanation:

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. A particular person weighs 192 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person.
Answer choices on picture.

Answers

The question tells us that the weight of a person varies with the square of their distance to the center of the Earth.

Weight = 192 pounds
Radius of the earth = 3900  miles 

Let's introduce the constant, k
192 = [tex] \frac{k}{3900 ^{2} } [/tex]
k = 192 * 3900²
k = 192 * 15,210,000
k = 2,290,320,000

Putting the constant k back into the equation, W = [tex] \frac{k}{d ^{2} } [/tex]

W = [tex] \frac{2,290,320,000}{d ^{2} } [/tex]

(OPTION D)

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth.

The distance the person is from the center of the earth: d

W=K/d^2

W=192 pounds, d=R: Radius of the earth=3900 miles
Replacing in the equation above:
192=K/3900^2

Solving for K:
192=K/15,210,000
192*15,210,000=K
2,920,320,000=K
K=2,920,320,000

Then the equation is:
W=K/d^2 and K=2,920,320,000

W=2,920,320,000/d^2

Answer: Option d. W=2,920,320,000/d^2 


Mrs. Plesich has a 16 1/2 ounce bag of chocolate chips. She will only use 1/4 of the bag for decorating a cake . How many ounces will she use for the decorating.

Answers

16 1/2= 33/2=66/4
66/4 x 1/4 is 66/16
33/8
The answer is 33/8 ounces.

Each box of Fred’s Fudge is constructed from 2 triangles and 3 rectangles. What is the shape of each box?

Answers

The answer is a rectangular prism

The boxes of Fred's Fudge, made of 2 triangles and 3 rectangles, are most likely shaped as triangular prisms.

Each box of Fred's Fudge is constructed from 2 triangles and 3 rectangles. The shape of each box can be determined by visualizing how the triangles and rectangles are assembled. In most cases, packaging that includes triangles would imply the presence of triangular prism shapes, where the triangles serve as the ends and the rectangles connect the corresponding sides of the triangles. Hence, it's reasonable to conclude that the shape of each box is likely a triangular prism.

The sum of two numbers is 76. The first number is 4 more than twice the other. How much is the first number?

Answers

Set up two equations, with your first number being x and your second number being y:

Since their sum is 76, then x+y=76.
Since x is 4 more than twice y, then x=4+2y.

Now, since you have a definition for x (x=4+2y), you can substitute that equation in for x in the first equation.
This gets you (4+2y)+y=76.

Now, simplifying that out, you get the solution for y: y=24. Since you know what y is, you can substitute that in for y in the first equation and find x:
x+24=76
x=76-24
x=52

43 + (x -7) =90 find the value of x

Answers

43 + x - 7 = 90

Subtract 36 (-43 +7) from each side

x = 54
43 + (x-7) = 90
43x - 301 = 90
        +301    +301
43x = 391
43        43

x = 9.09 or 9

I hope this helps :)

Find the interest earned and the balance of the account: P=$650 R=4% T=2 Years

Answers

I have no idea.... Try to ask your teacher or your parents

A small pizza has a diameter of 10 inches and cost 7.75 how many square inches of pizza are in a small pizza? what is the cost per square inch?

Answers

The answer is 0.0987
The answer is gonna be 0.0987

0.000309 in scientific notation

Answers

Hey there :)

Writing in scientific notation means a should be
0 ≤ a < 10

Therefore, 0.000309 will be written as
3.09 x 10ⁿ

3 is the 4th decimal place value

so n = - 4

3.04 x 10⁻⁴

Please need help on this any clue any one

Answers

Answer:

A

Step-by-step explanation:

it makes the most sense

Meghan has a beginning balance of $750 in her checking account. She writes a check for $150 and has a debit transaction of $135. What is her new balance?

Answers

her new balance is her new balance would be 435
heres my math 
750-150-135=435
Her new balance is going to be 465 because if she has a balance of 750 and than she writes a check for 150, so you subtract 
750-150
Than she has a debit transaction of 135, so you subtract 
600-135 giving you 465

Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.

Answers

Answer: The simplified express is 10m + 20.5 where m represents the total number of months.

To start we can write the following two expressions for her expenses.
8.5 + 62.5m   and     12 + 3.75m

Then, adding the two expressions together will give us a combined expression of:  10m + 20.5

Total amount of money Sabra spends on both clubs = 20.50 + 10m

Amount paid to join the cooking club = $8.50

Monthly payment at the cooking club = $6.25

Payment for m months at the cooking club = 6.25m

Total money paid at the cooking club = 8.50 + 6.25m

Amount paid to join the movie club = $12

Monthly payment at the movie club = $3.75

Payment for m months at the movie club = 3.75m

Total money paid at the movie club = 12 + 3.75m

Total amount of money Sabra spends on both clubs = Total money paid at the cooking club + Total money paid at the movie club

Total amount of money Sabra spends on both clubs = 8.50 + 6.25m + 12 + 3.75m

Total amount of money Sabra spends on both clubs = 20.50 + 10m

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