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
HELLLLPPPP PLEASEEEEEE
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.
Question 12 The graph represents the amounts Madison and Morgan earn each hour tutoring. After how many hours will Madison and Morgan earn the same amount? Amount Earned ($) y 80 70 60 50 40 30 20 10 절 0 1 2 3 4 5 6 7 8 Number of Hours Answer Record your answer in the boxes below. Be sure to use correct place value. +/-
Answer:
hmmm
Step-by-step explanation:
lmk if you got the answer
The approximate radius, r, of a circle with an area, A, is r=0.32^1/2.
Find the approximate radius of a circle with an area of 16 cm2.
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
WILL GIVE BRAINLIEST FIVE STARS LIKE ETC THE WHOLE SHEBANG BRAINLIEST BRAINLIEST BRAINLIEST;
PLZ ANSWER AS SOON AS YOU CAN!!!!!!!!!!!
The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara's Flower Arrangements
White 3 6 9 12 15
Yellow 5 10 15 20 25
Hector's Flower Arrangements
White 4 8 12 16 20
Yellow 6 10 14 18 22
Part A
Are the numbers of white and yellow flowers in Cara's arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
A. Yes; y=35w
B. Yes; y=53w
C. No; y=3w+5w
D. No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector's arrangements proportional?
Write an equation to relate the number of white flowers, h, to the number of yellow flowers, e.
A. Yes; e=32h
B. Yes; e=23h
C. No; e=h+2
D. No; e=h−2
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
Han and Tyler both started walking toward each other from opposite ends of a 18-mile path. Han walks at a pace of 4 miles per hour and Tyler walks at a pace of 2 miles per hour.
How long does it take for Han and Tyler to meet?
Explain or show your reasoning.
give a step by step explanation pls
Answer:
D
Step-by-step explanation:
20/5=4
28/7=4
The x axis is
vertical
horizontal
diagonal
Answer:
Horizontal
Step-by-step explanation:
The x-axis is horizontal while the y-axis is vertical.
B - Horizontal
The y-axis is vertical and most exponential functions tend to be diagonal.
please help me get an answer for this question.
Answer:
I have no idea
Step-by-step explanation:
pls help!!!! ASAP!!
Answer:
5:3
Step-by-step explanation:
The ratio is 5 to 3
chocolate being 5 and oatmeal being 3
Solve this please
⎯.+/⎯.+/
Also this one--Sorry
Answer:
3 hours or on a calculator do 540 divided by 1620
A man is climbing down from 100 feet high descending 30 feet per minute. What equation is right?
1. y=100+30x
2. y=100x+30
3. y=100x-30
4. y=100-30x
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
-4(-6x + 4) ?
(including steps please!) :D
Answer:
-32
Step-by-step explanation:
first you need to find the unknown #(.666) and multiple it by 6 then add 4 then times 8 by for to get - 32.
Answer:
24x - 16
Step-by-step explanation
What we're doing here is factorisation
To factorise a number, you need to multiply the number outside of the bracket (in this case -4) by both of the inside numbers (-6x and 4).
First,
-4 x -6x
-4 x -6x = 24 , The x also needs to be kept- coming from the -6x, so the answer would be 24x.
You may think that because there are minuses involved, the answer would be -24x but you need to remember the rule that 2 negatives make a positive!
Next,
Multipying the outside number by the second inside again:
-4 x 4 = -16
Alongside the rule that two negatives make a postive, another rule is that one negative and one positive always result in a negative.
Finally,
Connect both of these answers
24x - 16 is the answer!
(The minus/negative symbol in the final answer is because the second multipication turned out negative, if the second number was positive, the answer would be 24x + 16.)
plz help 100 points i really need help
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:
Help meee I don't know what to do anymore--
Answer:
It is increasing by 40 and the first game will 40 the next is 80 the next is 120 and it keeps going on
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
34% of _____ peaches is 17 peaches
Help please
Answer:
50
Step-by-step explanation:
34%=34/100
34/100 = 17/50
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.
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
10x > 14x + 8 (find the value of x)
Answer: The answer will be created shortly.
Please Help Me Out!
Evaluate the expressions. Write your answer as a single base with a positive exponent.
(b^-7)^2 x b^6
a^-10 x a^8
Answer:
1/b^8, 1/a^2
Step-by-step explanation:
(b^-7)^2 x b^6
= b^-14 x b^6
= b^-8
= 1/b^8 In a fraction
a^-10 x a^8
= a^-2
= 1/a^2 In a fraction
Answer:
1/b^8
1/a^2
Step-by-step explanation:
Mallory puts $1.00 in a jar. The following week, she puts 2 times that original amount in the jar. For each of the next six weeks, Mallory continues to double the amout of money she places in her savings jar each week.
Determine if the relationship is linear or nonlinear. Explain your choice using examples with ordered pairs. (week, amount)
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:
In week 1 she puts $1.00 in the jar.In week 2 she puts $2.00 in the jar (now the jar has $3.00 in it)In week 3 she puts $4.00 in the jar (now the jar has $7.00 on it)In week 4 she puts $8.00 in the jar (now the jar has $15.00 on it)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.
Week 1: (1, 1)Week 2: (2,2)Week 3: (3,4)Week 4: (4,8)Week 5: (5,16)Week 6: (6,32)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
Annette is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those surveyed, do not want a new mall. How many people did Annette survey?
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
Find the missing number.
Answer:
25% - from 180 degrees
Step-by-step explanation:
Write the coordinates of two points that are the given distance from these points and horizontal/vertical:
6. 5 units from (–1, –2) ( , –2) and ( , –2) _______________________
7. 8 units from ( 2 , 4 ) ( 2 , ) and ( 2 , ) _______________________
8. 3 units from (–7, –5) (–7, ) and (–7, ) _______________________
9. 6 units from ( 4, –1) ( 4 , ) and ( 4 , ) _______________________
10. 10 units from (–1, 9) ( , 9 ) and ( , 9 ) ______________________
11. 7 units from (–3 , 2) ( , 2 ) and ( , 2 ) ____________________________
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
Please help me
Evaluate the expression when M=2
m²+29
Which equation has the correct sign on the product?
Answer:
A
Step-by-step explanation:
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
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 ;)
May I please get help with my math lesson if possible I don't know why they are 4 answers if 1 of the answers don't apply to any of the questions it fine just leave it blank
Answer: S1:E7 ; S2:E1 ; S3:E5
Step-by-step explanation:
What we know:
3 answers applyWe need to find which answers go with each question**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:
Find the x 5.50Find the y 3Find the total 145Write equation 5.50 + 3 = 145Problem 2:
Find the x 2.50Find the y 0.75Find the total 25Write equation 2.50 + 0.75 = 25Problem 3:
Find the x 2Find the y 5Find the total 50Write equation 2 + 5 = 50Solution: S1:E7 ; S2:E1 ; S3:E5
Answer:
S1:E7 S2:E1 S3:E5 Have a great day...
Step-by-step explanation:
Identify the terms in the expression 70 – (4 • 15).
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:
70 – (4 • 15)It has two terms:
70 and – (4 • 15)If we need to solve it then:
70 – (4 • 15) = 70 - 60 =10