Two water tanks are shown. Tank A is a rectangular prism and Tank B is a triangular prism. Tank A is filled with water to the 6-meter mark. Some of the water from Tank A is being transferred to Tank B so that the water level in Tank A is at 2 meters. Shade the amount of water in Tank B to indicate the approximate height of the water in Tank B after the transfer. Also write the height, to the nearest whole number of meters, in the space provided.

Answers

Answer 1

The height of the prism that's depicted in the water tank will be 8m.

How to calculate the height of the prism?

The area of the base of the triangular prism will be calculated thus:

= 1/2 × 4 × 9

= 18m²

The volume of water removed from the rectangular tank will be:

= (6 × 6) × 4

= 144m³

Therefore, the height will be calculated thus:

18 × h = 144

18h = 144

h = 144/18

h = 8m

Therefore, the height is 8m.

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Related Questions

Jada surveyed all the 7th and 8th graders at her school abouth whether they had pets. Complete the missing entries in this two way table :)

Answers

Based on the information provided, the missing entries are 48, 107, 209, 116, and 325.

What information is missing?

The missing information includes:

Number of 7th graders without a pet.Number of 8th graders with a pet.Total students with a pet.Total students without a pet.Total of students surveyed.

Number of 7th graders without a pet:

This can be found by subtracting the total of students with a pet from the total 7th graders.

150 - 102 = 48

Number of 8th graders with a pet:

Subtract the total of students without a pet from the total 8th graders.

175 - 68 = 107

Total of students with a pet:

Add students with a pet:

102 + 107 = 209

Total of students without a pet:

Add students without a pet:

48 + 68 = 116

Total of students surveyed:

Add the total of students:

209 + 116 = 325

Note: This question is incomplete because the chart is missing; below I attach it.

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Help ASAP. This is my 6th time making this question with nobody helping.

Answers

Answer:

m = 2.4 and b = 14.8

Step-by-step explanation:

In slope-intercept form, all equations follow the formula y = mx + b, in which equations are parallel as long as they have the same slope, represented by the variable m. All that the b variable does is change the y-intercept. Knowing this, in order to find a parallel equation to y = 2.4x + 5.2 that intercepts the point (-2, 10), the only variable that can change is the b variable. The first step is to plus -2 into the x variable. This will grant you y = 2.4(-2) or y = -4.8, which will then allow you to find what the b variable should be by subtracting -4.8 from 10. This will grant you b = 14.8, and since you know the slope must stay the same, the final answers are m = 2.4 and b = 14.8.

Kala bought two types of cheese at a deli. She bought 0. 50 pound of American cheese and 1. 25 pounds of Swiss cheese. The bar diagram and equation below represent Kala’s purchase, where p represents the total number of pounds of cheese she bought. A bar diagram. The top bar contains p. The bottom bars contain 0. 50 and 1. 25. P = 0. 50 1. 25 What is the total number of pounds of cheese Kala bought? 0. 75 1. 20 1. 30 1. 75.

Answers

The total number of pounds of cheese Kala bought is 1.75.

What is the Bar diagram?

Bar graph (bar chart) is a graph that represents the categorical data using rectangular bars.

The bar graph shows the comparison between discrete categories.

Given

Kala bought two types of cheese at a deli.

She bought 0.50 pound of American cheese and 1.25 pounds of Swiss cheese.

The bar diagram and equation below represent Kala’s purchase, where p represents the total number of pounds of cheese she bought.

A bar diagram. The top bar contains p.

The bottom bars contain 0.50 and 1.25.

p = 0.50 + 1.25

The total number of pounds of cheese Kala bought is;

= 0.50 + 1.25

= 1.75

Hence, the total number of pounds of cheese Kala bought is 1.75.

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What is 30% expressed as a decimal? Fraction?

Answers

Answer:

0.3

Step-by-step explanation:

Fraction: 30/100 or 3/10

Decimal: 0.3

Can someone please help me with this? I just need to know how it works and what the answer is.

Answers

Answer:

3

Step-by-step explanation:

Since you need to find the y value when x = -1, go to -1 on the x axis, and find where the green line crosses. The green line goes through the point (-1,3), or one box to the left and three boxes up, so the y value is 3.

Hopefully this helps- let me know if you have any questions!

Answer:Find the point in which the x = 1, and the y  point meets.

When x = 1, y = 2

2 is your answer for y

hope this helps

Step-by-step explanation:

Help me pleaseeeeeeee

Answers

Answer:

72°

Step-by-step explanation:

just add the two smaller angles to get the whole angle

45.3 + 26.7 = 72.0

Answer:

y= 72°

Step-by-step explanation:

If you add the two degrees you get 72.

45.3+26.7=y

45+26=71

.3+.7=1

71+1=72

Hope this helped.

A brainliest is always appreciated.

An office supply store purchased a case of binders for $600. The profit (P) to be made on the binders is defined by the function
P(b) - 8.50b - 600, where b is the number of binders sold.
Part A What is the range of the function if the domain is {10, 45, 72, 100)?
Part B What do the domain and range represent in this situation?
Part C What is the minimum number of binders that the store needs to sell in order to make a profit (P >0)? Show or explain your work.
Part D What is the minimum profit the store can make on the sale of these binders? Show or explain your work.

Answers

Answer:

Part A

Domain = input values

Range = output values

Therefore, if the domain is {10, 45, 72, 100} then input those values into the function:

P(10) = 8.50(10) - 600 = -515

P(45) = 8.50(45) - 600 = -217.5

P(72) = 8.50(72) - 600 = 12

P(100) = 8.50(100) - 600 = 250

So the range is {-515, -217.5, 12, 250}

Part B

The domain is the number of binders sold

The range is the profit in dollars

Part C

Set the function to >0:

⇒ P(b) > 0

⇒ 8.50b - 600 > 0

add 600 to both sides:

⇒ 8.50b > 600

divide both sides by 8.50:

⇒ b > 70.58823529...

Therefore, the minimum number of binders the store needs to sell in order to make a profit is 71.

Part D

If the store sells a minimum of 71 binders, then substitute b = 71 into the function and solve to find the minimum profit:

⇒ P(71) = 8.50(71) - 600

⇒ P(71) = 603.5 - 600

⇒ P(71) = 3.5

Therefore, the store will make a minimum of $3.50 profit if it sells at least 71 binders.

However, if the store sells less than 71 binders, it will make a loss.

If 7x+5=2x+9,then x=?

Answers

Answer:

5/4

Step-by-step explanation:

7x+5=2x+9

minus the 2x from the 7

5x+5=9

minue the 5 from the 9

5x=4

divide the 4 from the 5x

4/5=x

The answer will be 5/4

A car of the same type and make it 3 1/2 years old.
C. Estimate the value of the car

Answers

It will depreciate by half off the lot then slowly after that

Simplify the expression. Write your answer as a power (-5)^7/(-5)^3

Answers

(-5)₇ / (-5)³ = (-5)⁷⁻³ = (-5)⁴

Answer the following questions Question one Are the following rational, irrational or neither? Please HELP ASAP ​

Answers

Answer:

1.1) Rational

1.2) Rational

1.3) Irrational

1.4) Rational

1.5) Rational

1.6) Irrational

Step-by-step explanation:

Rational means it can be represented as a fraction where the numerator and denominator are whole numbers and vice versa for irrationals.

Answer:

-4 is not
√9 is a rational number.
Pi is an irrational number.

Robbie was attempting to calculate the solution to the problem below. Are his steps of the solution correct?

Answers

Robbie’s answer in incorrect because he dropped the negative sign.
5(x-2) should’ve been 5x - 10 not 5x + 10.

Part A
Colin uses 2/3 cup of vegetable oil in each cake that he makes for his father’s bakery. If Colin makes 8 cakes, how much oil did Colin use in all?
5 1/3 cups
7 1/3 cups
8 2/3 cups
16 1/3 cups
Part B
Colin makes an additional 2 cakes. How much oil did Colin use in all?
6 2/3 cups
6 1/3 cups
5 2/3 cups
6 cups

Answers

Answer:

Part A: 5 1/3

Part B: 6 2/3

Step-by-step explanation:

Part A:

8 x 2/3 = 16/3

16/3 = 5 1/3

Part B:

10 x 2/3 = 20/3

20/3 = 6 2/3


A. 2 B. -2 C. 0 D. -2

Answers

Answer:

d. -2 <= y <= infinity

Step-by-step explanation:

The graph starts at -2 with a solid (colored in) point on the -2. So there are no y's less than -2 on the graph.

The graph continues to go up. Yes, it goes to the right, but we are looking at the y's. There is an arrow at the right end of the graph which means it continues to go up forever.

-2 <= y <= infinity

Which expression means “y more than seven”?
A
7y

B
7 - y

C
y - 7

D
y + 7

(PLEASE HELP!)

Answers

Answer:

D

Step-by-step explanation:

y more than seven = 7 + y, using associative property, 7 + y = y + 7

The correct expression is,

⇒ y + 7

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The algebraic expression is,

⇒ “y more than seven”

Now, We can formulate;

The mathematical expression is,

⇒ y + 7

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#SPJ5

1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.

(Take the cost of a notebook to be ₹ x and that of a pen to be ₹ y)

Answers

Answer:

x = 2y

Taking the cost of a notebook to be ₹ x and that of a pen to be ₹ y

hope that helps...

I need help this due in soon!

Answers

Answer:

x=132

Step-by-step explanation:

Z=39° (alternate angles)

X=39+93(exterior angle of a triangle=2 interior opposite angles)

x=132

A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side length of 9 feet. Determine the area of the larger rectangle.

Answers

Answer: The answer would be 214

ASAP!!! GOD BLESS!! MUCH lOVE

Answers

Answer:

6 meters

Step-by-step explanation:

24 ÷ 4 = 6 meters

I hope this helps!

how do you write the year two-thousand-fourteen as a Roman numeral?

Answers

Answer:

MMXIV

Step-by-step explanation:

The two-thousand-fourteen is written in a roman numeral is MMXIV.

The following information regarding roman numerals is:

It is the symbols that are applied in the system in order of numerical notation that depend upon the ancient Roman system.The symbols that are I,V,X,L,C,D,M denotes 1, 5, 10, 50, 100, 500, and 1,000.

So we can conclude that the two-thousand-fourteen is written in a roman numeral is MMXIV.

Learn more about the roman here: brainly.com/question/6501778

​Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their environment. The formula is ​T=50+n-40/4, where T is a temperature in degrees Fahrenheit and N is a number of chirps per minute. If T​=57°F, find the number of chirps per minute.

Answers

Answer:

Number of chirps per minute = 68

Step-by-step explanation:

Given:

​T = 50+ (N - 40)/4

where,

T is a temperature in degrees Fahrenheit

N is a number of chirps per minute

Find n when T = 57°F

​T = 50 + (N - 40)/4

57 = 50 + (N - 40)/4

57 - 50 = (N - 40)/4

7 = (N - 40)/4

Multiply both sides by 4

7 × 4 = (N - 40)/4 × 4

28 = N - 40

28 + 40 = N

68 = N

N = 68

Number of chirps per minute = 68

A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.

Answers

Answer:

160 miles away

Step-by-step explanation:

I am BIG brain

Answer:

160

Step-by-step explantion

The train leaves at  10:20 AM and arrives at 1:00 PM.

It takes 2 hours and 40 for the train to arrive at Stamford.

1 hour = 60 miles

SO

60+60+60*2/3=160

In a certain town there were 247 robberies last year. This year the number of robberies has gone down 30%. How many robberies were there this year, to the nearest whole number?

Answers

Answer:

173

Step-by-step explanation:

10%x247=24.7

24.7x3=74.1

247-74=173

Help me please!!!!!!

Answers

Answer:

72

Step-by-step explanation:

Just add up 45.3+26.7

45.3 + 26.7 = 72

Answer:

y= 72°

Step-by-step explanation:

If you add the two degrees you get 72.

45.3+26.7=y

45+26=71

.3+.7=1

71+1=72

Hope this helped.

A brainliest is always appreciated.

Given y=f(x), when f(x) = -3 on the graph of y=√f(x)

a. is undefined
b. intersects y=f(x) on the x-axis
c. is above the graph of y=f(x)
d. intersects the graph of y=f(x)
e. is below the graph of y=f(x)

Answers

It would be undefined, because you cannot square root a negative number, and so y= √-3 does not exist

Question in picture.

Answers

Answer:

4

Step-by-step explanation:

dividing 48 by 12, gives you 4.

dividing 16 by 4, gives you 4

HOPE THIS HELPS

Answer:

x=4

Step-by-step explanation:

Solve for  x

by simplifying both sides of the equation, then isolating the variable.

Which of the following most closely rounds to the number 1

Answers

Answer:

1.1???????

Step-by-step explanation:

Answer:Its most likely to be D

Step-by-step explanation:

what is 10÷ 6.8 and when you get the answer what is the answer when you round the answer to the nearest tenth​

Answers

Answer:

Step-by-step explanation:

10/6.8 = 1.47

To the nearest tenth it would be 1.5

hi could somebody help me without guessing please...

Answers

Answer:

120.

Step-by-step explanation:

hope this helps

If 1% of a number equals 4, find 2% of that number.

Answers

The answer is 8

2 x 4 = 8
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