Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 13 feet and a height of 14 feet. Container B has a radius of 10 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Answer:

7 units from (-3,2)(,2)and(,2)

Step-by-step explanation:

The purpose of this task is for students to solve a mathematical problem using points in the coordinate plane. This task also helps lay the foundation for understanding operations on signed numbers without formally introducing those notions, which are not expected until 7th grade (see 7.NS.1). Students will not have the full machinery needed to find distances between two arbitrary points in the plane until they have studied the Pythagorean Theorem in 8th grade. However, it is straightforward for them to find horizontal and vertical distances, which mirrors how one might represent sums and differences of signed numbers on a number line. The solution for the first part shows how these questions can be represented using absolute values (as described in standard 6.NS.C.8), although students are unlikely to make this connection without being asked to do so. If students are asked to solve this problem on their own first, it could be used to launch a discussion of the relationship between the the absolute value of coordinates of points in the plane and their distance to the respective axes.

Please note that students will have to assume that the points have integer coordinates, which is reasonable but worth mentioning.

Solution

The distance between points B and C is 5 units, as indicated below.

We can determine the distance between points B and C by counting the units between the two points since they are on the same vertical line which happens to be a grid line.

We can also note that the coordinates for B are (3,2) and so it is |2| units above the x-axis. Similarly, the coordinates for C are (3,−3), so it is |-3| units below the x-axis. Thus, the distance between B and C is

|2|+|−3|=5

units.

The distance between points D and B is 7 units, as indicated below.

The distance between points D and E is 4 units, as indicated below.

Point C is the only one of points A,…E that is both 4 units away from (−1,−3) and 2 units away from (3,−1). There is another point that satisfies these two criteria (which is the other intersection point of the circle of radius 4 and circle of radius 2 shown below), but it does not have integer coordinates and is not one of the points identified in the task

Answer:

50

Step-by-step explanation:

34%=34/100

34/100 = 17/50

Answer:

radius (r)= 2.25

Step-by-step explanation:

area (A)=16cm^2

A = πr^2

16= (22/7)r^2

(16*7)/22=r^2

√5.09= r

r=2.25

Answer:

247/100

Step-by-step explanation:

can be writen as 2.47 in dedimal form

247/100, I believe it's the answer, I'm not sure

Answer:

D. y=100-30x

Step-by-step explanation:

Every fpm (Feet Per Minute), the man is descending 30 feet

x = feet per minute

y = total amount

Answer:

Step-by-step explanation:

Part A.

A. Yes y = 5/3w

Part B.

C. No, e = h + 2

Answer:

Step-by-step explanation:

1. B

2. C

Answer:

25% - from 180 degrees

Step-by-step explanation:

Answer:

The volume in Cubic feet is 60 cft.

Step-by-step explanation:

we have to divide 20 by 120. 120 ÷ 20 = 60. Even though 5 is divisible by 60, we won't be doing that. 60 cft. is the answer.

Hope this helps!

Answer:

it is 500 cubic feet, when it is a triangle or triangular prism we divide it in half since its half a square, 120 inches=10 feet. 10ftx20x1/2=100. 100x5=500

Answer:

35

Have a nice day

Answer:

35

Step-by-step explanation:

35 is the biggest number that you can multiply to get both 35 and 70

35 x 1 = 35

35 x 2 = 70

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

[tex]V_{c} = l\cdot w\cdot h (1)[/tex]

Wading pool

[tex]V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)[/tex]

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

[tex]V_{c}[/tex] – Volume of the community swimming pool, measured in cubic feet.

[tex]V_{w}[/tex] – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

[tex]\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)[/tex]

[tex]\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }[/tex]

[tex]\frac{V_{c}}{V_{w}} = 4[/tex]

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Answer:

25 - 01

Step-by-step explanation:

Answer:

The difference is like subtraction. the difference is 01 so, 24 - 01. I got this answer because it is the smallest that I can get to.

hope this helped.

Answer: 4200? or 10 because there is a minus sign

Step-by-step explanation:

if we start with the parentheses you can see 4 x 15 = 60 and your subtracting 70 minus 60 so it would be 10

Step-by-step explanation:

Given expression:

It has two terms:

If we need to solve it then:

Answer:

A

Step-by-step explanation:

Answer:

y=(x*9)-4

Step-by-step explanation:

for example:

0*9=0

0-4=-4

4*9=36

36-4=32

2*9=18

18-4=14

hope this helped ;)

Answer: S1:E7 ; S2:E1 ; S3:E5

Step-by-step explanation:

What we know:

**A lot of info is problem-specific.

How to solve:

Since we only need to write the equations, we simply need to find the x and y variables, and the total.

Process:

Problem 1:

Problem 2:

Problem 3:

Solution: S1:E7 ; S2:E1 ; S3:E5

Answer:

S1:E7  S2:E1  S3:E5 Have a great day...

Step-by-step explanation:

Answer: The answer will be created shortly.

Answer:

D

Step-by-step explanation:

20/5=4

28/7=4

Let the required no. be x

Then the equation is-

(150/100)x = 750

=> x = 750 × (100/150)

=> x = 500

Ans- 750 is 150 percent of 500.

Answer:

1) 2² + 3² - 2 = 4 + 9 - 2 = 11

3² + 2² - 3 = 9 + 4 - 3 = 10

2) 4(3²) + 3(2) + 3 = 36 + 6 + 3 = 45

4(2²) + 3(3) + 3 = 16 + 9 + 3 = 28

3) 2(3) + 3 + 1 = 10

4) 3(2²) + 2(3) + 2 = 12 + 6 + 2 = 20

3(3²) + 2(2) + 3 = 27 + 4 + 3 = 34

5) 2⁴ - 3² + 3 = 16 - 9 + 3 = 10

6) 2³ - 2(3)(3) - 5 = 8 - 18 - 5 = -15

3³ - 2(3)(3) - 5 = 27 - 18 - 5 = 4

1) x = 3, y = 2

2) neither

3) x = 2, y = 3

4) neither

5) x = 2, y = 3

6) neither

Answer:

2 43/45

Step-by-step explanation:

Answer:

6 7/45

or

6 and 7/45

Step-by-step explanation:

8 3/5 - 2 4/9

= 43/5 - 2 4/9

= 43/5 - 22/9

= 277/45

= 6 7/45

Pineapple:Sparkling water

              3:2

A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.

B: 3 times as much punch, basically multiply by 3

3(3):2(3)

9:6 pineapple:water

2 (water) = 4 quarts  1=2 quarts

9(2)=18

B: 18 quarts

We want to find the total number of people that Annette surveyed given that we know a percentage and the number that the percentage represents.

We will find that the number of people that Annette survey is 480.

To get the solution:

Let's assume that she surveyed a total of X people.

Then we can write the equivalence:

100% = X

We know that the 37.5% is equivalent to 180 people, then we can write:

37.5% = 180

The two equations are:

100% = X

37.5% = 180

Now we can take the quotient between these two equations to get:

(100%/37.5%) = X/180

Solving for X we get:

(100%/37.5%)*180 = X = 480

So the total number of people surveyed is 480.

Answer:

480 people

180/X × 100 = 37.5%

180 × 100 = 37.5 × X

18000 ÷ 37.5 = 37.5 × x ÷ 37.5

480 people = x

Answer:

c

Step-by-step explanation:

Answer:

5:3

Step-by-step explanation:

The ratio is 5 to 3

chocolate being 5 and oatmeal being 3

Answer:

you can basically graph different points to form a decagon so you can have a 10 point combination and then say the order you went in.

Step-by-step explanation:

We want to see if the relationship between the number of weeks and the money put in the jar is linear or not, we will see that this is not a linear equation (it is exponential).

So a linear relation is something like:

y = a*x + b

Note that for any value of x, an increase of 1 unit gives:

y = a*(x+ 1) + b = (a*x + b) + a

So for increases of 1 unit in the x-value, we have increases of "a" units on the y-value.

In the given situation we have:

and so on.

Writing that as points we have:

(1, $1)

(2, $3)

(3, $7)

(4, $15)

Notice that for equal increases in the x-value, (increases of 1 unit) we don't equal increases in the y-value (first increases by $2, then by $4, etc...) So this is not a linear equation, this is actually exponential.

If you want to learn more, you can read:

https://brainly.com/question/19770987

The relationship of the ordered pair that represents Mallory savings is a nonlinear relationship.

Let x represents the number of weeks, and y represents the amount put in the jar, each week.

So, we have the following highlights for 6 weeks.

The ordered pairs can then be represented as:

[tex](x,y) = (1,1)(2,2)(3,4)(4,8)(5,16)(6,32)[/tex]

As the x values increase, the y values increase too, but the y values do not increase at a constant rate.

This means that the relationship is not linear; it is an exponential relationship.

Hence, the relationship is a nonlinear relationship.

Read more about linear relationships at:

https://brainly.com/question/7040405

Answer:

I have no idea

Step-by-step explanation: