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Explanation:
Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.
Consider after 1 minute we have x = 1, so,
1200-15x = 1200-15*1 = 1200-15 = 11185
Then after 2 minutes we have x = 2, which means,
1200-15x = 1200-15*2 = 1200-30 = 11170
is the amount left over in gallons.
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In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y
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So we found these two expressions
1200-15x25xto represent the amount of water (in gallons) for Pool X and Pool Y respectively.
We want to know when Pool Y will have more water. So we get to this final answer
1200 - 15x < 25x
It is in the form A < B, where A is the amount of water in Pool X and B is the amount of water in Pool Y.
Answer:
CStep-by-step explanation:
cause i got it right
Sam can clean the pool in 5 hours; his coworker Glenn can clean the same pool in 7 hours. One day Sam
started to clean the pool by himself and worked for an hour. Then Glenn joined him, and the finished
cleaning the pool. How long did it take them to finish cleaning the pool?
Answer:
23/12 hours or 1.9167 hours
Step-by-step explanation:
We are told that Sam can clean the pool in 5 hours. This implies 1:5
Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7
Since it's the same pool, let's generate a workrate formula.
Thus;
(1/5)x + (1/7)x = 1
Where x is the amount of time used by both of them to clean 1 pool
Simplifying it, we multiply each term by 35 to get;
7x + 5x = 35
12x = 35
x = 35/12
We are now told that One day Sam
started to clean the pool by himself and worked for an hour.
Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours
Thus, time they both used to finish cleaning the pool is 23/12 hours
Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____
Answer:
5000 is the best estimate
what is the geometric mean of
9 and 12
16 and 25
7 and 11
Answer:
Step-by-step explanation:
9 and 12 GM=[tex]\sqrt{9*12}[/tex]=10.39
16 and 25 gm=[tex]\sqrt{16*25}[/tex]=[tex]\sqrt{400}[/tex]=20
7 and 11 GM=[tex]\sqrt{7*11}[/tex]=8.77
Answer:
6sqrt(3)
20
sqrt(77)
Step-by-step explanation:
x is the geometric mean of a and b if the following equation is true.
a/x = x/b
9 and 12
9/x = x/12
x^2 = 9 * 12
x^2 = 108
x = sqrt(108)
x = 6sqrt(3)
16 and 26
16/x = x/25
x^2 = 16 * 25
x^2 = 400
x = 20
7 and 11
7/x = x/11
x^2 = 7 * 11
x = sqrt(77)
What is the absolute value of -7? 7 - 1/7 1/7
Answer:
7
Step-by-step explanation:
First ones 7 second ones 7 third ones 1/7 forth ones 1/7
Step-by-step explanation:
Because absolute value basically means the distance from zero so the distance from zero from -7 is 7 the same with 7 and the distance from zero with -1/7 is you guested it 1/7 and follow suit for 1/7 and you got your answers
Hope this helps ;)
I need help with number 3 and 4 please
Step-by-step explanation:
x 1 2 3 4 5 6
y 4 8 12 16 20 24
4
x 1 2 3 4 5. 6
y 2 7 12 17. 22. 27
2 of 6
Evaluate
(-32)°
Answer:
Step-by-step explanation:
Any number to the power of 0 (zero) is 1, so the answer is 1
Jesse plays basketball for his high school team. In his last 12 twelve games he scored the following points: 18, 22, 19, 15, 24, 22, 18, 15, 10, 14, 18, 10. Barbara plays basketball for her high school team. In her last 10 games she scored the following points: 15, 12, 12, 16, 18, 22, 16, 20, 20, 14. Determine which player had the largest range of points scored? What is the difference is the range of points between the two players?
In the form of a paragraph, explain in complete sentences the steps necessary to compute the range of the points, which team player had the largest range of points and include the final answer in your explanation. Complete your work in the space provided.
Answer:
Jesse has the largest range. To find the range you have to take the greatest value and the lowest value to find the range. Jesse's largest value is 24 points while his lowest is 10 points making his range 14 points. Barbara's highest value is 22 points while her lowest is 12 points making her range 10 points.
Step-by-step explanation:
24-10=14 Jesse
22-12=10 Barbara
b) How far does the car travel in 4 hours?
Answer:
70 miles per hour
Step-by-step explanation:
Answer:
A car can travel up to 240 km in 4 hours.
Step-by-step explanation:
A car travels 60 MPH meaning 60(miles) times 4(hours) is 240.
Can someone help please I’ll give brainliest!
Answer: F.
Step-by-step explanation:
First we have to determine the common factor for all of them, which in this case is 11.75. Then we have to multiply that by 40 which gives us 470.
Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).
The coordinates of the centroid are?
Answer:
The coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
Step-by-step explanation:
Given the vertices
P (-1, 7)Q (9, 5)R (4, 3)We know that the intersection of medians brings the centroid of the triangle.
The centroid of a triangle is given by
[tex]O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)[/tex]
In this example,
[tex]P_x=-1,\:P_y=7[/tex]
[tex]Qx=9,\:Q_y=5[/tex]
[tex]Rx=4,\:R_y=3[/tex]
substituting in the formula
[tex]O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
Therefore, the coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.
★ Centroid of a triangle :-
[tex]\red{\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} } \: , \: \dfrac{y_1 \: + \: y_2 \: + \: y_3}{3} }} \: \pink\bigstar [/tex]We have :
x₁ = -1x₂ = 9x3 = 4y₁ = 7y₂ = 5y3 = 3Substituting the values :
★ For x co-ordinate:-
[tex]: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }[/tex]
★ For y co-ordinate:-
[tex]: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }[/tex]
★ Henceforth,
Co-ordinates are (4 , 5)Additional Information :
★ Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ Visit more :-
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Slope= -3/5. Y-intercept = -1
Answer:
y=-3/5x-1
Step-by-step explanation:
y=-3/5x-1
slope intercept form
Which of the table in the image below represents a function?
Table 1
Input: 4, 3, 2
Output: 3, 2, 1
Table 2
Input: 1, 2, 3
Output: 3, 5, 7
Table 3
Input: 0, 1, 1
Output: 0, 4, 5
Table 4
Input: 4, 4, 4
Output: 1, 2, 3
Answer:
A
Step-by-step explanation:
A recipe calls for 0.8 oz of cheese. If I make 35 batches of this recipe, how many ounces of cheese do I need?
Answer:
28
Step-by-step explanation:
mm ya
Can y'all help me with dis
Factorise
a- 49a2 – 36b2
b- 3x3 – 48x
c- x2-20x+100
d- 4xy2 – 8x4y +16x2y2-2x3y
Answer:
i cant understand are they at the power of 2
Step-by-step explanation:
What is the measure of the missing side?
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Answer:
8
Step-by-step explanation:
exact
127/9-5.89
14.11-5.89
8.22
estimating
14 1/9 is close to 14
5.89 is close to 6
14-6 is 8
Answer:
the answer is 8
Step-by-step explanation:
hope i help
Which values of x and y satisfy the system
of equations below?
3x + 5y = 22
- 4x - 5y = -26
A. x = -4, y = 2
C. x= 2, y = 4
D. x= 4, y = 2
B. x= -2, y - 4.
Answer:
D. x= 4, y = 2
Step-by-step explanation:
Since it's multiple choice, you can plug in the values
What is the solution to this inequality
X-6 <-4
O A. x>-10
O B. X> 2
O c. x< -10
O D. x<2
Answer:
Answer is D
Step-by-step explanation:
Answer:x<2
Step-by-step explanation:
17/6 + 4/3 fractions
Answer:
25/6
Step-by-step explanation:
I multiplied 4/3 by 2, so the new fraction is 8/6. You add 17/6 with 8/6, and you get 25/6. I hope you understand.
How i do this and please give me answer too
Please help me for 15 points ASAP
Answer:
Option A
Step-by-step explanation:
The question asks how much did Sarah spend per book.
The statement in the problem that she $42.20 on 2 books would be enough information to solve the question given.
Using the information, we would find the unit rate of the price to get our answer.
Hope this helps.
How many games did Vernon download in March?
Answer:
None
Step-by-step explanation:
because Vernon has no friends to play them with
what is a relation?????????????????
Answer:
c.
Step-by-step explanation:
Зx +1 <10
What is the answer for this
Answer:
x < 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Inequality
3x + 1 < 10
Step 2: Solve for x
Subtract 1 on both sides: 3x < 9Divide 3 on both sides: x < 3Here we see that any value x smaller than 3 would work as a solution to the inequality.
A feather fell from a bird's nest in a tree from a height of 25 feet. The leaf fell at a speed of 3 feet per second. Choose all the equations below that correctly describes the relationship between t, the time in seconds, and h, the feathers height in feet?
A) h=25-3t
B) h=3t-25
C) h=-3t-25
D) h+3t=25
Answer:
A and C
Step-by-step explanation:
why are y'all doing school work so late
Answer:
fr
Step-by-step explanation:
its 1 am for me but I'm just bored and answering peoples questions lol but it's weird that they are doing school work now I was thinking that but was like oh well lol
Determine which regions contain cube roots of -1
Answer:
A, C, F
Step-by-step explanation:
area of a square field is 1600 square metre. find the cost of boundary wall if the rate of per metre is Rs. 500
Answer:
Rs. 20,000
Step-by-step explanation:
the boundary wall will act as a perimeter.
the perimeter of a square field is 4S( S = side)
S x S = area
S2 = area
S =
square root of S2= square root of area
square root of S2 = S
S = square root of area
S = square root of 1600
S = 40m
perimeter = 4 x S
= 4 x 40
= 160m
1m = rs. 500
40m = 40m x rs.500
1m
=Rs. 20,000
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answer:
2, 3, and 5
Step-by-step explanation:
got it right on test.
The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
According to the given option,
The second has no slope, therefore there is no correlation.
The third has a zero average slope with no upward or descending trend; no correlation.
The fifth has a general increasing tendency and will have a non-zero correlation.
Thus, the scatterplots (B), (C), and (E) have no correlation.
Hence, the correct answer would be options (B), (C), and (E),
Learn more about the Scatter plot here:
brainly.com/question/1386565
#SPJ6
A=4
B=2
C=5
D=2 square root of 3
C 5 i think
Step-by-step explanation: