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.
Natalia is moving into a new house. All together, her furniture weighs 2,896 pounds. If it takes 2 trucks to carry all of Natalia's furniture, what is the average weight load on each truck?
Answer:
1448 Pounds per truck
Step-by-step explanation:
Divide 2896 by 2
If you haven't learned long division yet, try breaking up the number and dividing it by 2 like this:
2000/2=1000
800/2=400
90/2=45
6/2=3
Then, add them up and solve from there: 1000+400+45+3=1400+48=1448
Answer:
1448
Step-by-step explanation:
2,896/2 = 1448
Hope this helps!
Archer Middle School has 78 students playing soccer this year. This number is 6 more than 3 times the number of students who played last year. Let n represent the number of students who played last year. Which equation expresses an equality between two different ways of expressing the number of students who are playing soccer this year?
A: n + 6 = 78
B: 3n + 6 = 78
C: n - 6 = 78
D: 3n - 6 = 78
The following table shows the number of visitors to Yellowstone National Park from 2000 to 2006.
What was the percent of change in the number of tourists between 2000 and 2001?
Answer:
79,707
Step-by-step explanation:
2,838,233 - 2,758,526= 79,707
A tire from Karens car is shown below Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi= 22/7
Answer:
264 inches
Step-by-step explanation:
Circumference = pi x diameter
28 x 22/7 = 88 (in)
88 x 3 = 264 (in)
The closest distance traveled by Karen's car is, 18.86 feet.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We know that;
One rotation of the tire is equal to the circumference of the tire.
And, The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd
where, π = 22/7
d = diameter
Here, The size of one revolution = 2 x 22/7
= 44/7 feet
Hence, The distance covered in one rotation of the tire is 44/7 feet
So, The distance covered in 3 rotations = (44/7) x 3
= 18.86 feet
Learn more about the circle visit:
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The complete question is this,
A tire from Karen's car is shown below. Which is the closest to the distance traveled, in feet, after 3 full rotations of the tire? The diameter is 2 feet, by the way.
Sarah babysits her neighbor's son to make money. Her earnings can be represented by the equation
M = 9h
where M is the money she earns and h is the hours she babysits.
Samara babysits her cousin to make money. Her earnings can be represented by the graph.
Which babysitter earns more money per hour?
Answer:
Sarah makes more money.
Step-by-step explanation:
Sarah makes $9 an hour babysitting while Samara make $3 an hour babysitting. For every 1-hour Sara babysits, Samara has to babysit 3-hours to make the same amount of money. Hope this helps :)
.............................
Answer:
a
Step-by-step explanation:
i just needed the points
find -3(-1.25) (I cant screenshot it sorry!) HELP PLEASE
-----------------------------------------------
-4 -3 -2 -1 0 1 2 3 4
Answer: 1.25
Step-by-step explanation:
What is the solution to this equation?
−6(x+7)=−30
Enter your answer in the box.
Answer:
x = -2
Step-by-step explanation:
-6(x + 7) = -30
distribute the -6
-6 * x = -6x and -6 * 7 = -42
-6x - 42 = -30
add 42 to both sides
-6x = 12
divide both sides by -6
-6x/-6 = x and 12/-6 = -2
we're left with x = -2
Ramiro is 3/10 as tall as the flagpole. The flagpole is 5/9 as tall as the nearby tree. The tree is 32 2/5 feet tall. How tall is Ramiro?
Answer:
5.4 feet
Step-by-step explanation:
Start with the flagpole. It is 5/9 of 32 2/5.
32 2/5 = 162/5.
5/9 * 162/5 = 162/9.
Ramiro is 3/10 as tall as 162/9.
3/10 * 162/9 = 27/5, or 5.4 feet tall
His height is 5.4 f
Thank you...
Does the following relationship represent a function?
Answer:
yes
Step-by-step explanation:
the output can have more than one input
the input cannot have more than one output
I hope this helps!!
Answer:
No. it does not represent a function.
Step-by-step explanation:
hope this helps.
HELPPPPP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLS
Max is scuba diving at an elevation of −64.5 feet when his friend signals to come higher. Max makes two ascents, each an equal distance, to reach an elevation of −21.4 feet, where his friend is located. What was Max's elevation after his first ascent? Enter your answer as a decimal in the box.
Answer:
-42.95ft
Step-by-step explanation:
First, find the change in elevation between where Max starts and where his friends are:
-21.4ft-(-64.5ft)=43.1ft
Since we're told that he makes two equidistant ascents, we know that each ascent would be equal to:
43.1ft/2=21.55ft
Now we take the height that he started at and add the height that he would gain in his first ascent
-64.5ft+21.55ft=42.95ft
Meghan made [tex]$458[/tex] in her last paycheck. If she would like to
save at least [tex]$175[/tex]of it, how much can she spend?
X - How Much She Can Spend
Answer:
She would be able to spend 283
Step-by-step explanation:
458-175=283
Hope this helps!
What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??
Step-by-step explanation:
50/50 chance of choosing one or the other because there is only two options
Sarah wanted to buy a TV. She had $390 in her pocket. The TV she wanted was $415; however she had a 10% off coupon. The sales tax is 6%. Does she have enough money to purchase the TV?
Answer: Sarah does not have enough money to purchase the TV.
Explanation: The total price is $395.91.
Answer:
No
Step-by-step explanation:
10% of 415
= 1/10 of 415
= 1/10 * 415
= $41.5
415 - 41.5 = $ 373.5
6% of 415
= 6% * 415
= $24.9
∴ $373.5 + $24.9 = $398.4
∴ Sarah cannot buy the TV as she is $ 8.4 short.
Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle..
8 cm along the left side of the triangle and 45 degrees in the lower left of the triangle....
more than one triangle
a unique triangle
no triangle
Answer:
(a) more than one triangle
Step-by-step explanation:
Specifying one side and one angle is not sufficient to define a particular triangle. More than one triangle can meet those requirements.
1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know
2. Convert this length to inches
Answer:
4 feet I think
Step-by-step explanation:
Giovanni can read 210 words per minute. If there are approximately 540 words on a page, about how many pages can he read in 3 hours? Round your answer to the nearest whole number.
462 pages
122 pages
233 pages
70 pages
She can read 70 pages in 3 hours.
What is proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are Given:
Giovanni can read 210 words per minute and, books contain 540 pages
So, she can read the portion of book
=210/540
= 21/54 per minutes
= 21/54 x 60
= 23.3 pages in one hour
and in 3 hours she can read
= 23.3 x 3
= 70 pages in 3 hours
Learn more about unitary method here:
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Question: 5/12 − 2/5= 1/60
A. The answer 1/60 is not reasonable because 5/12 is closer to 1 than to 1/2, and 2/5 is closer to 0 than to 1/2, making the difference close to 1/2.
B. The answer 1/60 is not reasonable because 5/12 is closer to 1/2 than to 1, and 2/5 is closer to 0 than to 1/2, making the difference close to 1/2.
C. The answer 1/60 is reasonable because both fractions are closer to 1/2 than they are to 0, making the difference close to 0.
D. The answer 1/60 is reasonable because both fractions are closer to 1 than they are to 1/2, making the difference close to 0.
Answer:
C
Step-by-step explanation:
It is reasonable: the answer is both reasonable and correct because 5/12 - 2/5 = 1/60. This is because using cross multiply, 5 x 5/12 = 25/60, 12 x 2/5 = 24/60. 25/60 - 24/60 = 1/60.
Both are closer to half: half out of 12 would be 6/12 and 0 would be 0/12, so 5/12 is closer to half because 5/12 is closer to 6/12 than 0/12. Half out of 5 would be 2.5/5 and 0 would be 0/5, so 2/5 is closer to half because 2/5 is closer to 2.5/5 than 0/5.
The difference is close to 0: 1/60 is very close to 0. It's only worth 0.016.
I promise I will give you a crown if you do it right.
Q. Arrange the following integers in ascending order.
a. 3902, -3923, -3454, -3345, 3623, -3212.
b. 1005, -1090, -1420, -1230, 1302.
c. -100, -110, -99, 99, 101, 110.
d. 9990, 9011, 9909, -9099, -9990, 9099.
Answer:
A) -3923, -3454, -3345, -3212, 3623 and 3902.
B) -1420, -1230, -1090, 1005 and 1302.
C) -110, -100, -99, 99, 101 and 110
D) -9990, -9099, 9011, 9099, 9909, 9990
Step-by-step explanation:
Please help please and thank you
Answer:
The answer is 1.5
Step-by-step explanation:
The answer is 1.5
I NEED HELP ASAP PLEASE
Drag each graph to the correct location on the table. Identify the scatter plots that show a positive association, a negative association, or no association.
Does the equation y = x represent a function?
10 points ... for anyone
Answer:
gimmethat
Step-by-step explanation:
I really need help if u want to help me I will be ur best friend lol help me pls girls and boys! also, i neeeeeed you to not just use this for points, i actually need help ya'll
Answer:
denise:39
Denise:19.5
David:19.5
Step-by-step explanation:
They split the pears between the two. it shows that n is 39 and the both had pears
denise:19.5
David:19.5
Answer:
denise:39
Denise:19.5
David:19.5
Step-by-step explanation:
look at the other person srry
If each unit on the grid represents 2.5 inches, find the height of the triangle.
Answer:
15
Step-by-step explanation:
on edge
Sally has 243.75 pieces of candy. John has 27.4 pieces of candy. How many pieces of candy do they have in all? John thinks altogether there are 217.15 pieces of candy. Is he correct? Explain your thinking.
Answer:
Yes, John is correct.
Step-by-step explanation:
To find the total amount of candy you must add the amounts Sally and John have. Sally has 243.75 and John has 27.4. When you add those two together you can 217.5 which is what John thinks therefore he is correct.
Which point on the number line represents Negative three-fourths?
A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D
Answer:
A
Step-by-step explanation
i am biggest brain
Your friend finds the value of 8⁴. 8⁴ = 8x4 = 32 Is your friend correct? Explain
I would say my friend is correct. I think this because when doing function tables, i would often say x2, x5, etc. This would mean that it would be X x 2, and X x 5. If you replace the "x" and turn it into 8, than I would think it would mean the same thing. So, yes. My friend is correct.
I'm not sure if this was what you were looking for, but I hope this helps somehow!
Consider the points (-5,2) and (3,-9)
What is the VERTICAL distance
Answer:
(3,-9)
Step-by-step explanation:
mag comment kong mali
po ang sagot please react
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation: