A rectangular prism has a volume of 600 cubic inches.
If the height of the prism is 5 inches and the width is 10 inches,
what is the length of the prism? Enter your answer in the box.

Answers

Answer 1

Answer:

The length is 12 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by:

V=LBH

It was given that; the rectangular prism has a volume of 600 cubic inches.

The height of the prism is 5 inches and the width is 10 inches.

We want to find the length of the rectangular prism.

We substitute V=600, H=5,and W=10 into the formula:

600=5×10×L

600=20L

[tex] L = \frac{600}{50} [/tex]

[tex]L = 12in[/tex]

Answer 2

The length of the rectangular prism is 12 inches.

To find the length of a rectangular prism, we can use the formula for volume:

Volume = Length × Width × Height

We know the volume is 600 cubic inches, the height is 5 inches, and the width is 10 inches. We can rearrange the formula to solve for the length:

Length = Volume / (Width × Height)

Substitute the known values into the equation:

Length = 600 / (10 × 5)

Length = 600 / 50

Length = 12 inches

Therefore, the length of the rectangular prism is 12 inches.


Related Questions

Ben sharpened 5 pencils he has 8 more unsharpened pencils than sharpened. How many unsharpened pencils does Ben have?​

Answers

13 unsharpened pencils

What transformation was made to ABC?

Answers

Answer:

REFLECTION

Step-by-step explanation:

The triangle ABC was reflected over the x-axis to get triangle A'B'C'.

HELP ILL GIVE 15 POINTS!!!!!!!!!!!!

Answers

Answer:

1 i think

Step-by-step explanation:

Answer:1 hope this helped

Mr. Viviano would like to report to the principal the smaller measure of center between the mean and the median for the distribution of test scores of his AP Calculus class. The test scores are as follows: 60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100. What number will he report?

Answers

Step-by-step explanation:

Given data,

Test scores =60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100

    Mean= (60+65+70+75+80+80+80+85+85+90+95+100)/11

             = 885/11

             = 80.45

   Median= 80

   

For the given functions FNG, find the indicated composition.

Answers

Answer:

A

Step-by-step explanation:

To find (f ○ g)(x) substitute x = g(x) into f(x), that is

f(g(x))

= f(2x - 1)

= 3(2x - 1) + 14

= 6x - 3 + 14

= 6x + 11 → A

At a back to school sale, backpacks are marked down 15%. If the original price was $34, then what is the sale price?

Answers

Answer:

$28.90

Step-by-step explanation:

If it is marked down 15% then that means it is sold at 85% of the original price

x/34=85/100

cross multiply both fractions

100x=2890

x=28.90

Answer:

$28.90

Step-by-step explanation:

take 34 and multiply that by .15, that would get you 5.1

take 34 and subtract 5.1 and that should get you your new price

G(x)=2x-5 h(x)=4x+5 find g(3)-h(3)

Answers

Answer:

-16

Step-by-step explanation:

G(x)=2x-5 h(x)=4x+5

g(3)-h(3)

g(3) = 2(3) -5 = 6-5 =1

h(3) = 4(3) +5 = 12 +5 = 17

g(3)-h(3) = 1-17 = -16

Answer:

-16

Step-by-step explanation:

G(x)=2x-5

G(3)=2(3)-5

=6-5

=1

H(x)=4x+5

H(3)=4(3)+5

=12+5

=17

G(3)-H(3)

1-17

=-16

Therefore the final answer is -16

6.25 in.
Apply
9. Poppy is using wire to make metal wall hangings
radius shown for her friends. Her older sister is
hangings with a diameter that is 12 inches longer
How much more wire did her sister use per
Poppy? Use 3.14 for it. Write your answer as a
the nearest hundredth.
all hangings that have the
sister is making her wall
thes longer than Poppy's.
per wall hanging than
er as a decimal rounded to

Answers

Final answer:

To determine how much more wire the sister used, we calculate the difference in circumference based on the increased diameter of 12 inches using the formula C = πd. The extra wire length is 3.14 • 12, which is the difference in circumference between the sister's and Poppy's wall hangings.

Explanation:

The student's question focuses on comparing the length of wire used by Poppy and her sister for making metal wall hangings. Poppy's wall hangings have an unspecified radius, while her sister's hangings have a diameter that is 12 inches longer than Poppy's. The amount of wire corresponds to the circumference of the wall hangings, which can be found by using the diameter to calculate the circumference with the formula C = πd, where C is the circumference and d is the diameter.

To find out how much more wire the sister used per wall hanging than Poppy, we first determine the diameter of Poppy's hangings. Let's denote it as d, then her sister's hangings' diameter would be d + 12 inches. Using 3.14 for π, the difference in wire used would be 3.14 • (d + 12) - 3.14 • d, which simplifies to 3.14 • 12. After calculating and rounding to the nearest hundredth, we get the answer.

The graph of y = -x 2 + 3x - 2 is shown. The ZERO(S) of this function is/are

Answers

Answer:

x=2 , 1

Step-by-step explanation:

the zeros are the value of X

-x+2x+x-2

-x(x-2)+x-2

(x-2)×(x+1)

x = 2 , 1

40 POINTS. WILL AMRK BRAINLIEST!!! NEED ASAP
Dave's sister baked 3 dozen pies of which a third contained chocolate, a quarter contained marshmallows, a sixth contained cayenne, and one twelfth contained salted soy nuts. What is the smallest possible number of pies that had none of these ingredients?

Answers

Answer:

The answer is 34.75% because:

Step-by-step explanation:

36-(1÷3)-(1÷4)-(1÷6)-(1÷2)=

(PLEASE MARK ME BRAINLIEST!!!)

Answer:

6

Step-by-step explanation:

(1/3) + (1/4) + (1/6) + (1/2)

5/6

At max, ⅚ of the pies contain atleast one of these ingredients

1 - ⅚ = ⅙

Atleast ⅙ of them don't contain any

⅙ × 3 dozen

⅙ × 36

6

Find the coordinates of point B on AC such that AB is 1/4 of AC

will give brainliest answers to the first who answers correctly

Answers

Find the vertical and horizontal difference between the two given points:

Horizontal  is the Y values: 4 - -4 = 4+4 = 8

Vertical is the X values 7 - -1 = 7+1 = 8

Multiply the changes by the ratio:

Now copy the dot on A 2 places to the left and down 2 places and the dot lands on point (5,2)

8 * 1/4 = 2

AC in the horizontal and vertical direction is 8 units. AB in the horizontal and vertical direction is 1/4 of 8 which is 2 units. To find the coordinates of B on the graph, move 2 units to the left and 2 units down. We lie on the point (5, 2).

Best of Luck!

Solve: 2x > 18
x < 9
x > 9
x > 36
x < 36

Answers

Answer:

the answer is X > 9

Step-by-step explanation:

you divide move the 2 to the other side and divide by 18

PLS ANSWER ONLY IF YOU KNOW IT Sea World has 9 aquariums with small fish in them and the number of fish in each tank are shown below:

45, 10, 48, 19, 36, 25, 63, 14, 39

What is the mean of the number of fish?
Question 2 options:


40


33


53


36

Answers

Answer:

33

Step-by-step explanation:

add all the numbers together and divide them by the number of values given

Answer:

33, 33.2 to be precise

Step-by-step explanation:

Mean is the average of a set of numbers, so just add all of them and divide by the amount of numbers (9)

I honestly have no clue how to do these

Answers

Answer:

[tex]-2^{2} -4(1)(5)[/tex]

so the answer would be c.

Step-by-step explanation:

The discriminant is the following equation:

[tex]b^{2} -4ac[/tex]

You just simply plug in the values of the coefficients.

[tex]0=x^{2} -2x+5[/tex]

a = 1 (first terms coefficient)

b = -2 (second terms coefficient)

c = 5 (last terms coefficient)

3/5 * (t + 41) = −3(3 − t)

t =

Answers

Answer:

T=14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a diameter of 6 inches and a height of 5 inches, what would it cost to fill the cone to its full capacity? Use 3.14 for pi.

Answers

Answer: Your answer is 3.77

Step-by-step explanation:

Answer:

its actually $11.30

Step-by-step explanation:

1. 9 x 3.14(pi) x 5

2. 141.3x 0.08

3. 11.304

4. if im incorrect im not sorry since its not gonna help you

I will make you Brainliest, just help me please!!!

Gabriel is investigating the forces that result from contact. All of the following are types of contact forces, except which of the following? Electrostatic force, Air resistance, Spring compression, Friction force

Answers

Answer:

Electrostatic force

Step-by-step explanation:

The answer is Electrostatic force because physical contact isn't required here.

SHOW FULL WORK FOR BRAINLY. make the answer actually make sense

Answers

Answer:

B, 7 units.

Step-by-step explanation:

Since points K and L have the same x value, their only difference in location is with their y coordinate. The difference between the first y coordinate (5) and the second y coordinate (-2) is 5-(-2)=7 units, which is the length of KL. Hope this helps!

Answer:

7

Step-by-step explanation:

To solve for this equation, we are going to use the distance formula, or what is known as:

[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\[/tex]

Solving for distance is easier to do with perfect squares, in which this one is. If you're ever wondering which way to arrange the x2-x1 it doesn't matter how you put it, just be sure to put both x and y in the same order.

[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\K(4,5)\\L(4, -2)\\\sqrt{(4 -4)^{2}+ (-2 -5)^{2} }\\\sqrt{(0)^{2}+ (-7)^{2} }\\\sqrt{(0)+ (49) }\\\sqrt{49} = 7[/tex]

I am happy to help with any other questions you might have in the future and I will continue to work hard in trying to provide the best answers I can :)

#7: At the gym on Saturday, Reese ran 5 miles on the treadmill and then
completed 1 mile on the elliptical machine, and burned 725 calories. On Sunday
she ran 3 miles on the treadmill and completed 1 mile on the elliptical, and burned
505 calories. Write and solve a linear system to find the number of calories Reese
burns on each machine.
Treadmill:
Elliptical:

Answers

Answer: The equations are 5t + e = 725 and 3t + e = 505

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence we shall call the treadmill t, and we shall call the elliptical machine e.

If on Saturday, she ran 5 miles on the treadmill and 1 mile on the elliptical machine and she burned 725 calories in the process, we can express this as

5t + e = 725 ------(1)

Also on Sunday, she ran 3 miles on the treadmill and 1 mile on the elliptical machine and burned 505 calories in the process, that too can be expressed as

3t + e = 505 ------(2)

We now have a pair of simultaneous equations which an be solved by the elimination method (reason being that on of the unknowns have the same coefficient, that is variable e).

Subtract equation (2) from equation (1) and you arrive at;

2t = 220

Divide both sides of the equation by 2

t = 110

Having calculated the value of t, substitute for the value of t into equation (1)

5t + e = 725

5(110) + e = 725

550 + e = 725

Subtract 550 from both sides of the equation

e = 175

The above calculations shows that the calories burned on each gym equipment are;

Treadmill = 110 per hour

Elliptical = 175 per hour

Please answer, will mark brainliest

Answers

Answer:

4. B 5. C

Step-by-step explanation:

Answer:

B; C

Step-by-step explanation:

The data contains 10 separate values.The only plot with 10 "x"s is the 2nd one, therefore the answer is B.

The only stem-and-leaf plots in the proper format are the last 2. The only one containing "89" as a value is the 3rd one (It was one of the values in the data set). Therefore, it is C.

URGENT PLEASE HURRY WILL MARK BRAINLIEST PLS GIVE EXPLANATION
The two dot plots below show the heights of some sixth graders and some seventh graders:

Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there is 1 dot above the second mark, there is 1 dot above the third mark, there is 1 dot above the fourth mark and there are two dots above the sixth mark.

The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders? (Round all values to the tenths place.)

1.2
1.4
2.4
2.8

Answers

Answer:

(B)1.4

Step-by-step explanation:

The mean absolute deviation(MAD) of a set of data is the average of the absolute deviations from the mean. It gives us statistics on the variability of the given set of data.

From the given information:

The first set of data represents the height of the sixth graders. The mean absolute deviation (MAD) for their heights is 1.2.The second set of data represents the height of the seventh graders. The mean absolute deviation (MAD) for their heights is 1.7.

1.2 and 1.7 are the measures of the variability of the height of the sixth and seventh graders respectively.

To find out approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders,

Let the number of times=x

MAD of the 6th graders X x=MAD of the 7th graders

1.2x=1.7

x=1.7/1.2

x=1.42[tex]\approx 1.4[/tex]

Answer:

1.4

Step-by-step explanation:

A bag has 6 RED marbles and 9 Blue marbles in it. What is the ratio probability of pulling a Red marble out of the bag ?

Answers

Answer:

6:9

Step-by-step explanation:

6:9 or when u simplify it’s 2:3

HELP PLEASE!!! ASAP 12 POINTS

Answers

Answer:

c=−3 or c=7

Step-by-step explanation:

Step 1: Cross-multiply.

c/3= 7/c−4

c*(c−4)=(7)*(3)

c2−4c=21

Step 2: Subtract 21 from both sides.

c2−4c−21=21−21

c2−4c−21=0

Step 3: Factor left side of equation.

(c+3)(c−7)=0

Step 4: Set factors equal to 0.

c+3=0 or c−7=0

c=−3 or c=7

Exponential function question

Answers

Answer:

The correct answer is A.

In A, the set of ordered pairs can be generated by the exponential function f(x) = 3^x.

Plz answer i will give brainiest to the first person who answers this correctly Plzzz helppppp!!!!!

Answers

Answer:

The correct answer is D

Step-by-step explanation:

If you find the length of the two adjacent sides, it will determine whether or not the figure is a square or not.

Good luck!

A spinner is divided into 4 equal parts. 1 part is colored red, 2 parts are colored blue, and 1 part is colored yellow. The spinner is spun 1000 times. Select all of reasonable possible outcomes

Answers

The sections on the spinner are used to illustrate probability

The reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

How to determine the possible outcomes

The sections in the spinners are:

Red = 1Blue = 2Yellow = 1Total = 4

From the above parameters, the probability of each section is:

P(Red) = 1/4

P(Blue) = 1/2

P(Yellow) = 1/2

When the spinner is spun 1000 times, the expected outcomes are:

Red = 1/4 * 1000 = 250

Blue = 1/2 * 1000 = 500

Yellow = 1/4 * 1000 = 250

From the above calculations, we can determine that the reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

Read more about probabilities at:

https://brainly.com/question/25870256

A factory makes bottled perfume. Each bottle is in the shape of a triangular prism, as shown below. If the factory is filling 27 such bottles, how much perfume will the factory need (in cubic centimeters)?

Answers

Answer:

2,916 cubic centimeters

Step-by-step explanation:

9 x 4 x 6 = 216 Because it is a triangular prism, you'll have to divide it by 2

216/2 = 108 for each

108 x 27 = 2,916 cubic centimeters

All work was done by me, not Google

Which statements are true regarding f(x) = 10 ? Check all that apply.
x+ 5
The domain of f(x) is (-00,-5) U (-5,0).
The range of f(x) is (0, 2) U (2, oo).
The x-intercept is at (-5,0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = -5.
The end behavior is x - -00, f(x) - 0 and x - 00, f(x) - 0.

Answers

Answer: A,D,E,F on Edge

Explanation:

yes

Final answer:

The true statements regarding the function f(x)=10/(x+5) are that the domain excludes x=-5, there is a vertical asymptote at x=-5, the y-intercept is at (0,2), and the end behavior is such that as x approaches negative or positive infinity, f(x) approaches 0. There are no x-intercepts, and the range is all real numbers except 0.

Explanation:

The function given is f(x) = \frac{10}{x+5}. To analyze the properties of this function, we need to understand its behavior when x approaches certain values and its graph within the given restrictions. Let's check each statement given:

The domain of f(x) is (-∞, -5) U (-5, ∞). This means x can be any real number except -5, where the function would be undefined due to division by zero, indicating there is a vertical asymptote at x = -5.The range of f(x) is all real numbers since as x changes, the value of f(x) can take any real number except 0; there are no other restrictions imposed on f(x) by the function itself.The x-intercept does not occur at (-5,0) because there the function is undefined. Actually, the function cannot have an x-intercept because f(x) is never zero for any real value of x.The y-intercept is (0,2), which can be found by plugging x=0 into the function, yielding f(0) = \frac{10}{0+5} = 2.There is indeed a vertical asymptote at x = -5 since the function is undefined at this point and the values of f(x) grow without bound as x approaches -5.The end behavior suggests that as x approaches negative or positive infinity, f(x) approaches 0. This is because the numerator remains constant, and as the denominator grows larger in magnitude, the overall value of the fraction diminishes towards zero.

Which number is both a factor and a multiple of 14? A, 1 7 B. 14 C.28

Answers

Answer:

Step-by-step explanation:

The multiples of 14

Answer : 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252,266,280,294,308,322,336,350,364,378,392,406,420,434,448,462,476,490,504,518,532,546,560,574,588,602,616,630,644,658,672,686,

Answer:

A 1

Step-by-step explanation:

1, 2, 7, 14 14 28 42 56 70 84 98 112 126 140

plus question on edge please give me brain list please or rate good

5. Mrs. Parker is providing lunch at her next staff meeting. She will pay $15.75 for 3 people
to eat lunch. At this rate, how much will it cost Mrs. Parker to feed 40 people?

Answers

Answer = $210

3/15.75 = 40/x
3x = 15.75 (40)
3x =630
x=210
Other Questions
a lighthouse is 150 feet tall and cast a shadow of 30 feet.Kyle is standing next to a lighthouse and is 6 feet tall. how long is his shadow? 3. Assume a disk drive from the late 1990s is configured as follows. The total storage is approximately 675MB divided among 15 surfaces. Each surface has 612 tracks; there are 144 sectors/track, 512 bytes/sector, and 8 sectors/cluster. The disk turns at 3600 rpm. The tract-to-track seek time is 20ms, and the average seek time is 80ms. Now assume that there is a 360KB file on the disk. On average, how long does it take to read all of the data in the file? Assume that the first track of the file is randomly placed on the disk, that the entire file lies on adjacent tracks, and that the file completely fills each track on which it is found. A seek must be performed each time the I/O head moves to a new track. Show your calculations A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results. Number Showing on Top FaceFrequency102333465365If you were to use these results to predict the probability of the next number showing on the top face, what type of probability would you be using?A) Theoretical probabilityB) Experimental probabilityC) Independent probabilityD) Dependent probability Help me, please .... Gabe is twenty years older than his children. Laura is forty years older than her grandchildren. All members ages add to 290. Write an equation that would represent this scenario. Seneca Hill Winery recently purchased land for the purpose of establishing a new vineyard. Management is considering two varieties of white grapes for the new vineyard: Chardonnay and Riesling. The Chardonnay grapes would be used to produce a dry Chardonnay wine, and the Riesling grapes would be used to produce a semidry Riesling wine. It takes approximately four years from the time of planting before new grapes can be harvested. This length of time creates a great deal of uncertainty concerning future demand and makes the decision about the type of grapes to plant difficult. Three possibilities are being considered: Chardonnay grapes only; Riesling grapes only; and both Chardonnay and Riesling grapes. Seneca management decided that for planning purposes it would be adequate to consider only two demand possibilities for each type of wine: strong or weak. With two possibilities for each type of wine, it was necessary to assess four probabilities. With the help of some forecasts in industry publications, management made the following probability assessments: Riesling DemandChardonnay Demand Weak StrongWeak 0.05 0.50Strong 0.25 0.20Revenue projections show an annual contribution to profit of $20,000 if Seneca Hill only plants Chardonnay grapes and demand is weak for Chardonnay wine, and $70,000 if they only plant Chardonnay grapes and demand is strong for Chardonnay wine. If they only plant Riesling grapes, the annual profit projection is $25,000 if demand is weak for Riesling grapes and $45,000 if demand is strong for Riesling grapes. If Seneca plants both types of grapes, the annual profit projections are shown in the following table: Riesling DemandChardonnay Demand Weak StrongWeak $22,000 $40,000Strong $26,000 $60,000a. What is the decision to be made, what is the chance event, and what is the consequence? Identify the alternatives for the decisions and the possible outcomes for the chance events.b. Develop a decision tree.c. Use the expected value approach to recommend which alternative Seneca Hill Winery should follow in order to maximize expected annual profit.d. Suppose management is concerned about the probability assessments when demand for Chardonnay wine is strong. Some believe it is likely for Riesling demand to also be strong in this case. Suppose the probability of strong demand for Chardonnay and weak demand for Riesling is 0.05 and that the probability of strong demand for Chardonnay and strong demand for Riesling is 0.40. How does this change the recommended decision? Assume that the probabilities when Chardonnay demand is weak are still 0.05 and 0.50.e. Other members of the management team expect the Chardonnay market to become saturated at some point in the future, causing a fall in prices. Suppose that the annual profit projections fall to $50,000 when demand for Chardonnay is strong and Chardonnay grapes only are planted. Using the original probability assessments, determine how this change would affect the optimal decision. To prevent banks from using excess reserves to make loans that would increase the money supply, the Federal Reserve could conduct open-market ______ and _____ the interest rate paid on bank reserves. a) sales; lower b) purchases; raise c) sales; raise d) purchases; lower Ayer, Sandra y us Hermano_______una comida Lara did Padres (preparar) The isotope thulium-167 is used in laser scans for medical treatments. Its rate of decay is 0.075. How many days does it take 500 grams of the isotope to decay to 250 g?Thank you! What is the length of midsegment XY Explain why a historian might not think that Norman Ikaris account of racial discrimination reflects the experience of all Japanese Americans during World War II. Write the equation for the line graphed below. An investor has purchased stock in a firm. 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