A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.
How many times greater is the volume of the swimming pool than the volume of the wading pool?
Answer:
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
V_{c} = l\cdot w\cdot h (1)
Wading pool
V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)
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.
V_{c} – Volume of the community swimming pool, measured in cubic feet.
V_{w} – 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:
\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)
\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }
\frac{V_{c}}{V_{w}} = 4
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.Step-by-step explanation:
The volume of the swimming pool is 4 times the volume of the wadding pool
What is the volume of a Rectangular box?
The volume of a rectangular box is given by the formula ,
Volume of Rectangular box = Length x Width x Height
where L = length of the rectangular box
W = width of the rectangular box
H = height of the rectangular box
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the length of the swimming pool be L = 30 feet
Let the width of the swimming pool be W = 12 feet
Let the height of the swimming pool be H = 5 feet
So , volume of a rectangular box is given by the formula ,
Volume of Rectangular box = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangular swimming pool = 30 x 12 x 5
Volume of Rectangular swimming pool = 1800 feet³
Now ,
The length of the wading pool be l = 15 feet
The width of the wading pool be w = 6 feet
The height of the wading pool be h = 5 feet
Volume of Rectangular wading pool = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangular wading pool = 15 x 6 x 5
Volume of Rectangular wading pool = 450 feet³
Now , the volume of the swimming pool = N x Volume of Rectangular wading pool
To calculate the value of N ,
1800 = N x 450
Divide by 450 on both sides of the equation , we get
N = 4 times
Therefore , the value of N is 4
Hence , The volume of the swimming pool is 4 times the volume of the wadding pool
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Question 1
1 pts
Launch Problem 1
Hillary is solving the equation 2 - 1%. She predicts that the difference will be more than
1 because 2 - 1 = 1 and then she will have a fraction left over.
1. Is Hillary correct? Yes
or No?
Question 2
1 pts
Answer:
Yes I believe so
Step-by-step explanation:
In a warehouse, you obtain a 20% discount but you must pay a 15% sales tax. Which would you prefer to have calculated first: discount or tax?
PLEASE ANSWER ASAP
Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?
Answer:
566
Step-by-step explanation:
Candice leaves on a trip driving at 35 miles per hour. Three hours later, her sister Liz starts from the same location driving at 50 miles per hour. How long after Liz leaves home will she catch up to Candice?
7 hours
9 hours
10 hours
3 hours
PLEASE PUT THE ANSWER IN FRACTION FORM!!! SHOW YOUR WORK!!!!
Answer:
-13/15, -3
Step-by-step explanation:
there is also a app you can get on your phone that you can download and it will tell you the answer and steps to get the answer. :)
help............................................
Answer:
y = 6, x = 8.4
Step-by-step explanation:
10 x .6 = 6
14 x .6 = 8.4
Please help me out? Cannot be taken again. Ty!
If Claire earns $75 the next week from delivering newspapers and deposits in her account, what will her account balance be then?
Answer:
75$
Step-by-step explanation:
if she already has a amount of money in her account just add that to 75$
the probability of rolling a 5 or 6 with a number cube is 1/3 what is the probability of not rolling for a 5 or 6?
Answer:
The probability for not rolling a 5 or a 6 is 2/3.
Step-by-step explanation:
It is 2/3 because if it is 1/3 of rolling then you just do 3/3-1/3=2/3.
So, if you the probability of not rolling for a 5 or a 6 is 2/3.
The probability for not rolling a 5 or a 6 is 2/3.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, given that,
the probability of rolling a 5 or 6 with a number cube is 1/3
we have to find, what is the probability of not rolling for a 5 or 6.
It is 2/3
because if it is 1/3 of rolling then you just do 3/3-1/3
=2/3.
So, the probability of not rolling for a 5 or a 6 is 2/3.
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PLZ HELP...
David cooks a turkey in the oven at 450 degrees for 30 mins. Then he lowers the heat to 300 degrees and cooks the turkey for 2 more hours. How many minutes does David cook the turkey in all??
Answer:
150 minutes
Step-by-step explanation:
Answer:
The answer is explained below
Step-by-step explanation:
if david cooks the turkey for 30 mins at 450 and then lowers to 300 and cooks for 2 more hours. All you have to do is to add both times.
30 mins + 2 hours= ? solve it and fnd out :)
Brianna needs to buy a new backpack for her European trip. The one she wants costs $150. She leaves in 5 months. How much should she save each month? What if she wants to leave in 3 months? How much does she need to save then?
Answer: she should save 30 dollars a month for 5 months and 50 a month for 3 months
Step-by-step explanation:
150 divided into 5 months = 30
150 divided into 3 months = 50
If she wants to leave in 5 months, then she should save $30 each month and if she wants to leave in 3 months then she should save $50 each month.
What is division?The division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.
We may face different situations every day where we use the division technique.
Given that, Brianna needs to buy a new backpack for her European trip. The one she wants costs $150.
We need to find the amount she should save if she is leaving in 5 and 3 months.
Let she saved $x in each case,
so,
For 5 months =
5x = 150
x = 30
And,
For 3 months =
3x = 150
x = 50
Hence, if she wants to leave in 5 months, then she should save $30 each month and if she wants to leave in 3 months then she should save $50 each month.
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You have a part-time job painting block towers. Each black has dimensions of 5cm by 5cm by 5cm. You MUST paint all exposed faces. The paint comes in 250ml jars. Each jar covers 1m square. How many jars of paint will you need all together in order to cover a 2 block tower, a 7 block tower, a 15 block tower, a 20 block tower, and a 36 block tower?
Determine a pattern rule that will help you solve the problem.
17 POINTS WILL GIVE BRIANLIEST !!
Answer:
68
Step-by-step explanation:
(4x+52)+(8x-10)=90
12x+42=90
12x=48
x=4
4(4)+52=4x+52
16+52=68
Find the largest prime divisor of 11! + 12!
Answer: 23
Step-by-step explanation:
Oh hi 11+12= 23!!!
20 POINTS WILL GIVE BRAINLIEST !!!
Answer:
the answer is 16 and a half plz give me brainlest plz
Step-by-step explanation:
Answer:
the equation is 3x+2=50 and there are 16 friends at the party!
Step-by-step explanation:
Help will mark brainleist serious answers only
Answer:
x is +1
y is-5
Step-by-step explanation:
Andrea surveyed her classmates asking what types of pets they have. The results of her survey are shown in the table.
Type of Pet
Number of Students
dog
12
cat
14
fish
5
bird
3
other
4
Which type of graph would best display the data?
A. bar graph
B. line graph
C. line plot
D. stem and leaf plot
Answer:
bar graph
Step-by-step explanation:
bar graphs show the values for specific variables, in this case, the type of animal
The type of graph would best display the data is :
A. Bar graph
"Graph"The type of graph would best display the data is bar graph.
A bar chart may be a chart that plots information utilizing rectangular bars or columns (called canisters) that represent the whole sum of perceptions within the information for that category.
Thus, the correct answer is A.
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What does -3/5> -2 indicate about the position of -3/5 and -2 in the number line?
Awnser is A
Step-by-step explanation:
Answer:
-3/5 is located on the right of -2
Step-by-step explanation:3/5 is to the left of 0 and -2 absolute value is 2 and it 2 away from 0 to the left and -3/5 has no whole number so it close to 0 and it left of 2 If you need more explantion just comment and I got you have a good day
Solve the following inequality -3m + 18 <30
Please
Answer:
ANSWER: m > -4
Step-by-step explanation:
Enter the phrase as an algebraic expression.
47 less than j =
PLS ANSWER THIS SIMPLE MATH PROBLEM. (click on it to see the picture of it) and also pls dont troll I need a genuine answer. -CALLING ALL MATH WIZARDS
Answer:
It’s either A or B
Step-by-step explanation:
Pretty sure it’s A though
Answer:
I think it's A
Step-by-step explanation:
I tested the equation and it worked out and none of the others did.
I did 22 times the day then added twelve on all of the inputs and got the correct output. None of the other ones worked.
1. Circle the given unit.
2. Count the number of blocks to the desired unit.
3. Move the decimal point that many places in the same direction.
How can Marco find how many dekagrams are in 77 centigrams?
Marco can .
There are dekagrams in 77 centigrams.
Answer:
what is the question asking
Step-by-step explanation:
HELP!!!! PLEASE WRITE A DETAILED EXPLANATION OF HOW YOU GOT YOUR ANSWER!!! BEST ANSWER GETS BRAINLIEST!!!!
9 Squared if equal to?
Answer: 81
Step-by-step explanation: 9 times 9 = 81
BEST ANSWER (WITH STEPS) GETS BRAINLIEST!
[tex]6^{-2r-1}=6^{r+3}[/tex]
Answer: r = − 4/3
Step-by-step explanation:
Cancel the base of 6 on both sides.
−2r−1=r+3
Add 2r to both sides.
−1=r+3+2r
Simplify r+3+2r to 3r+3
−1=3r+3
Subtract 3 from both sides
−1−3=3r
Simplify -1−3 to −4
−4=3r
Divide both sides by 3
-4/3= r
Answer✅
Interval or scale on a graph definition
The interval scale is a quantitative measurement scale where there is order, the difference between the two variables is meaningful and equal, and the presence of zero is arbitrary. It measures variables that exist along a common scale at equal intervals. The measures used to calculate the distance between the variables are highly reliable.
Answer:
In math, a scale in graphs can be defined as the system of marks at fixed intervals, which define the relation between the units being used and their representation on the graph. Here, for instance, the scale of the graph is 1 interval being equal to 10 units. ... Each small interval or division measures 100 ml.
Step-by-step explanation:
sorry if wrong
help pls.I need help on math
Answer:
24 kilometers.
Step-by-step explanation:
If 1cm is 8km
Then take 3cm and multiply it by 8km to get 24km
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.
How many angles are alternate interior angles with angle 9?
The angles which are alternate interior angles with angle 9 are just two(2).
What is Alternate interior angle?This is the angle which is formed when a transversal intersects two coplanar lines.
The alternate interior angles for angle 9 include angle 7 and 15 thereby making it two the most appropriate choice.
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You can also write fractions as percents. To write a fraction as a percent, find an ________________________ _____________________with 100 as the denominator.
Answer:
common numerator and denomanator
Step-by-step explanation:
Hey there!
Answer:
To turn a fraction to a percent, divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.
Hope this helps!
Good luck! :D
