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?
Enter your answer as a number, like this: 42
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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.
which expression uses the commutative property to make it easier to evaluate 1/6 • 5/7 • 18?
−2.4(m−2/3)=−9
Please help! I can't figure it out!
Answer:
−2.4(m−2/3)=−9 First you do the problem inside the parenthesis. Then figure out the answer for that and then -2.4 with whatever the answer was. then you will have the answer
Step-by-step explanation:
hope this hels
Answer: 4.416 (the 6 should have a line on top to show it goes on)
Step-by-step explanation:
Jerome bought a pair of shoes for $58.13 including tax. The shoes had a sticker price of $54.20. What percent sales tax did he pay?
I NEED AN ANSWER ASAP!!!!!!!!!!!!!!!!!!
Answer: %7
Step-by-step explanation: 61.49- 57.20= 4.29
4.29÷ 61.49= 0.0697674419
0.0697674419 × 100= 6.9767449
6.9767449 rounded is 7
Your answer is 7%
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
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Malik digs a hole at a rate of 2/3 feet every 15 minutes. After digging for 60 minutes, Malik places a shrub in the hole that fills exactly 5/6 feet of the hole. Relative to ground level, what is the elevation of the hole after placing the shrub in the hole? Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
15/6
Step-by-step explanation:
(20/9) ft of the hole is elevated after the shrub was placed.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is that Malik digs a hole at a rate of 2/3 feet every 15 minutes. After digging for 60 minutes, Malik places a shrub in the hole that fills exactly 5/6 feet of the hole.
In 15 minutes, the depth of hole digged is (2/3) feet.
In 1 minute, the depth of hole digged is {(2/3)/15} feet.
In 60 minutes, the depth of hole digged will be {(2/3)/15} x 60 = 8/3 ft.
The hole filled after placing the shrub will be -
(5/6) x (8/3)
5/6 x 8/3
5/3 x 4/3
20/9
Therefore, the (20/9) ft of the hole is elevated after the shrub was placed.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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Grant mows lawns for extra money. He mows 9 lawns in 9 hours on Wednesday and 6 lawns In 6 hours on Saturday.
What is the constant of proportionality that relates the total number of lawns mowed, y, to the number of hours mowing lawns, x?
Answer:
the constant is 1. 9/9 is the same as 1. so 9hours over 9 lawns is 1.
A Christmas string light measures 12 inches. If the bulbs on the string are spaced 3/2 inches apart from each other, how many bulbs are strung together? *
Your answer
Answer:
8
Step-by-step explanation:
1) 3/2 is the same as 1.5 so divide 12 by 1.5 to get 8
Help pls ASAP PLSSS its really important!
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.
Diego measured the number of cups of water in 15 bottles of various sizes. He made this line plot to show how many of each size he has. Diego then took all the bottles of the most common size and poured the water into one container. How much water is in the container? (Line plot in image)
Please help immediately. I need only 10 more questions on IXL to get 100%
y = 5x + 4
What is the slope. Please help.
Answer:
The slope is 5
Step-by-step explanation:
Our equation:
y = mx + bGiven equation:
y = 5x + 4Now, let's compare both equations to see which is the slope.
=> y = mx + b = y = 5x + 4
We can clearly see that m = 5.
Therefore, the slope is 5.
Hoped this helped.
[tex]GeniusUser[/tex]
what is 1+1-1 plssssssssssssssssssssssssssssssss its a test and its impossible to solve
Answer:
1
Step-by-step explanation:
1+1 =2
and 2-1=1
since the 2 is a bigger no. 1 got the sigh of +
GAME SHOW GET READY... WHOEVER ANSWERS CORRECT GETS BRAINLIST
Which expression gives the best estimate of 30 percent of 61?
1/5 (60)
1/10 (60)
1/4 (60)
1/2 (60)
Answer:
1/2 (60)
Step-by-step explanation:
Answer:
1/2 (60)
Step-by-step explanation:
What is the greatest common factor of 35 and 70?
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
Which of the following is true? (1 point)
|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|
whoever is smart enough gets brainliest >:))
By coincidence, Norma's Obedience School trained the same number of dogs and cats last week. The school teaches dogs in groups of 6 and cats in groups of 5. What is the smallest number of cats the school could have had?
Answer:
Its 4
Step-by-step explanation:
I need help I think the answer is G but I'm not to sure
Answer:
I
Step-by-step explanation:
-2x + y ≥ 4
-upwards slope, solid line
x + y < 2
-downwards slope, dotted line
10 < 2x + 4
_
the sign is a greater than
Answer:
x > 3
Step-by-step explanation:
10 < 2x + 4
- 4 - 4
--------------
6 < 2x
3 < x, x > 3
hope this helps! :D
Answer: no is not that is grater
Step-by-step explanation: because when a number is next to a variable you multiply and that would be eight and that is not greater than 10
How do I create a radical equation with an extraneous solution quickly? How do I go the same for a radical equation with a non-extraneous solution?
Answer:
why r u wafflin
Step-by-step explanation:
The density of a substance is the mass of the substance per unit of volume. The density of the element Americium is inversely proportional to its volume. The graph shows the relationship between the density of Americium, p grams per cubic centimeters, and its volume, v cubic centimeters.
Answer:
The density of a substance is the mass of the substance per unit of volume.
Step-by-step explanation:
I NEED HELP PLEASE I HAVE POINTS
Answer:
17, 17, 1 13/21
Answer:
1 13/21
Step-by-step explanation:
First, Multiply the 4 and 3 by 7 to get 28/21. Then Multiply the 2 and 7 by 3 to get 6/21. Add them up and you get 34/21. To convert, divide 34 and 21 to get one with the remainder of 13. The final answer is 1 13/21.
What is the range of possible sizes for side x? _ < x < _
Answer:
0.5 < x < 16.5
Step-by-step explanation:
The third side of the triangle must be longer than the difference of the other two sides:
x > (8.5 -8.0)
x > 0.5
And it must be shorter than their sum:
x < (8.5 +8.0)
x < 16.5
The third side must be in the range ...
0.5 < x < 16.5
_____
These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.
Laura made 3/4 of a kilogram of trail mix. If she puts 1/4 of a kilogram into each bag, how many bags can Laura fill?
Laura can fill 3 Bags
if she has 3/4 kilograms of mix and each bag, she only needs 1/4
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ive found 2 i just need one more but if you can list everything it can be great
What is the range of possible sizes for side x?
Answer:
12.0
Step-by-step explanation:
Add the sides and you get your answer
Assume an average bunch of bananas contains 7 bananas. Make your own assumption
about the average number of bananas a person eats per week. Explain how you can
make an estimate as to how many bunches of bananas are needed for a year’s supply
for one person.
Help please. Sort the numbers.
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
A plant is 5cm tall and growing at a rate of 3cm a month. What is the right equation?
1. y= 5 - 3x
2. y=3x+5
3. y= 5x+3
Answer:
C. y=3x+5
Step-by-step explanation:
It is at a growing rate of 3cm a month.
x = centimeters a month
y = total amount
A speed skater completes a 500 meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds.How do their speeds compare
Answer:
25:26
Step-by-step explanation:
You mean the ratio?
Let's simplify the speed skater first. 500 meter in 40 second to x meter in 1 second. 500/40=12.5 meters per seconds
Cheetah:260/10=26 meters per seconds
Let's make this into a integer
12.5*2=25
25:26
:)