Mathematics Middle School

HELPPPPPP
Safety standards require a pool to add 3 chlorine tablets to every 2,000 gallons of water. Today, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10,000 gallons of water. How does Park Pool's chlorine compare to the safety standards?

Answers

Answer 1

They have less chlorine than the safety standards require.

Answer 2

Answer: With the help of Ratio we can compare Park Pool's chlorine to the safety standards.

Step-by-step explanation:

Since we have given that

Safety standards requires a pool to add 3 chlorine tablets to every 2,000 gallons of water.

Number of chlorine tablets = 3

Volume of water = 2000 gallons

So, Ratio will be

[tex]3:2000\\\\=1:\frac{2000}{3}\\\\=1:666.67[/tex]

Now, According to question, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10000 gallons of water.

So, Number of chlorine tablets = 8

Volume of water = 10000 gallons

So, Ratio will be

[tex]8:10000\\\\1:1250[/tex]

Hence, with the help of Ratio we can compare Park Pool's chlorine to the safety standards.

Related Questions

Identify a sequence of transformation that maps triangle ABC onto A"B"C" in the image below.
A. Clockwise 270 degrees rotation; reflection over the X-axis
B. Counterclockwise 90 degrees rotation; reduction
C. Counterclockwise 270 degrees rotation; reflection over the Y-axis
D. Enlargement; clockwise 90 degrees rotation

Answers

B. Counterclockwise 90 degrees rotation; reduction

when the handles are lifted 7.5 centimeters, the load is lifted 3 centimeters. What is the mechanical advantage of this lever?

Answers

Answer:

2.5 :)

Step-by-step explanation:

If i=Square root of -1, what is the value of i^3?
A.-1
B.i
C.1
D.-i

Answers

 First we are going to reesribir the inaginario number:
 i = root (-1)
 i = (- 1) ^ (1/2)
 Then, we have to
 By properties of exponents:
 i ^ 3 = i ^ 2 * i
 Substituting the value of i:
 i ^ 3 = ((- 1) ^ (1/2)) ^ 2 * i
 Applying properties of exponents:
 i ^ 3 = ((- 1) ^ (1/2)) * ((- 1) ^ (1/2)) * i
 i ^ 3 = ((- 1) ^ ((1/2) + (1/2)) * i
 i ^ 3 = ((- 1) ^ ((2/2)) * i
 i ^ 3 = ((- 1) ^ (1) * i
 i ^ 3 = -1 * i
 i ^ 3 = - i
 Answer:
 D.-i

Order the following sets of numbers from least to greatest 2.1 notation bar,-2.1,2 1/11,-2

Answers

least from greatest
-2.1, -2, 1/11, 2

Question 15 please

Please show work and Thank you for your time

Answers

15)
∠EAD ≅ ∠CAB . . . . . . reflexive property. An angle is congruent with itself.
∠AED ≅ ∠ACB . . . . . . given
ΔABC ≅ ΔADE . . . . . . angle-angle similarity: If two angles are congruent, all three angles are congruent and the triangles are similar.

An app developer projects that he will earn $22.00 for every 8 apps downloaded. Write an equation to represent the proportional relationship between the number of apps and the total earnings.

Answers

$the answer is 22/8 = x/1

Answer:

y = ($2.750 / app) . x

Step-by-step explanation:

Let's call

x = number of appsy = earned money

There is a linear relation between x and y, that follows the general form:

y = a . x + b

where

a is the slope

b is the y-intercept

The slope is:

Δy / Δx = $22.00 / 8 app = $2.750 / app

The, we have

y = ($2.750 / app) . x + b

When x = 0 (no app has been sold), y = 0 (no money has been earned).

0 = ($2.750 / app) . 0 + b

b = 0

The equation representing the proportionality between x and y is:

y = ($2.750 / app) . x

Identify the corresponding word problem, given the inequality: 16x ≥ 384

A) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
B) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
C) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will not need more than 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
D) Clint is going hiking and will need to carry enough water for the duration of the hike. He determines he will need at least 24 bottles of water. If a bottle holds 16 ounces of water, what is the total amount of water he will need?

Answers

B) Clint is going hiking and will need to carry enough water for the duration of the hike. I have determined he will need at least 384 ounces of water. If a bottle holds 16 ounces of water, how many bottles will he need?
 The problem is represented correctly by the inequality shown:
 16x ≥ 384
 Where,
 x: is the number of 16 oz water bottles.
 The key word to notice is:
 "he will need AT LEAST 384"
 It means that you may need 384 or more ounces of water.

Find the volume of each cone please help me with number 20 please

Answers

The formula for volume on a right circular cone is : 1/3 π r² H
18. 602.88ft.
20.132.46875in.


The shaded area represents a cement walkway around a pool. State the algebraic expression that represents the difference between the outside perimeter of the walkway and the perimeter of the pool.

Answers

Large perimeter :  2(2x+12)+2(2x-1+7+7)=8x+50
Smaller perimeter : 2(2x-1)+2(12)=4x+22

Large perimeter - smaller perimeter =          4x+28 

The difference between the outside perimeter of the walkway and the perimeter of the pool in algebraic expression is (2x + 14).

How to solve perimeter of rectangle?

Pool:

Length = 2x - 1

Width = 12

The perimeter of the pool = 2(length + width)

= 2{(2x - 1) + 12}

= 2(2x - 1 + 12)

= 2(2x + 11)

= 4x + 22

Outside perimeter of the walkway:

Length = (2x - 1) + x

= 3x - 1

Width = 12 + 7

= 19

The perimeter of the walkway = 2(length + width)

= 2{(3x - 1) + 19}

= 2(3x - 1 + 19

= 2(3x + 18)

= 6x + 36

Difference between the outside perimeter of the walkway and the perimeter of the pool = The perimeter of the walkway - The perimeter of the pool

= (6x + 36) - (4x + 22)

= 6x + 36 - 4x - 22

= 2x + 14

Hence, (2x + 14) is the expression which represents the difference between the perimeter of the walkway and the perimeter of the pool.

Read more on perimeter:

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HELP EASY I just have a lot more work i need to do, i need 9, 11-14, and 18 show work, please

Answers

I'll help with the last three.

13. Multiply the first equation by -4 and add the second.
.. -4(4x -3y) +(16x +10y) = -4(16) +240
.. 22y = 176
.. y = 8
.. x = (16 +3*8)/4 = 10
(x, y) = (10, 8)

14. Divide the first equation by 2, multiply the second by 2, and add.
.. (20x +10y)/2 +2(-5x +4y) = (100)/2 +2(53)
.. 13y = 156
.. y = 12
.. x = (53 -4*12)/-5 = -1
(x, y) = (-1, 12)

18. Multiply the first equation by -2 and the second by 3, then add.
.. -2(3x -5y) +3(2x -3y) = -2(-16) +3(-8)
.. y = 8
.. x = (-16 +5*8)/3 = 8
(x, y) = (8, 8)

Factories and solve x^2 +x -12=0

Answers

The equation factors into:  " (x + 4)(x –3) = 0 " .  
____________________________________________________
The solutions are: " x = - 4 " and " x = 3 " .
____________________________________________________
Note:
____________________________________________________

Factors of  "-12" that, when added up", equal " +1 " ;  
      
                                                              →  { Note:  Refer to:  "+1x" .}.

 - 4, 3 :  -4 + 3 = -1 

   4, -3 :  4  + (-3) = 4 -3 = 1 . Yes! 
_______________________________________________
So:    " (x + 4)(x –3) = 0 "  ;     x = - 4, and x = 3 .
_______________________________________________

Solve the following system of equations by linear combination:


3d – e = 7

d + e = 5



The solution is (3, 2).

The solution is (2, –1).

There is no solution.

There are an infinite number of solutions.

Answers

3d - e =7
d  + e = 5
-------------
4d  /  = 12
d=12:4
d=3

3+e=5
e=5-3
e=2
the solution is (3,2)

Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks? A. $18.12 B. $115.96 C. $116.06 D. $116.16

Answers

First figure out the step! ADITTION SUBTRACTION MULTIPLICATION DIVISION choose!  ; )
All you do is add the two savings together.

$48.97 + $67.09 = $116.06

A candidate to the presidency wants to know what percentage of the registered voters in the country would vote for him. So, he gives that task to one of his aides and tells him he has 3 days to come up with the results. Describe a method the aide should use to complete the task in time and which provides meaningful data. Use size of the sample, population of interest, and method of selection to complete your answer.

Answers

The population of interest are those above the voting age (ex. 18, depending on what country this is in). The size of the sample will depend on the population of the country, and the candidate will want to interview more people to get a representative sample if the country has a large population. Finally, for method of selection, a random and wide range of people must be surveyed. Ideally, we would want people from different professions, age groups, political parties, and geographical locations. Since the aide only has 3 days, the most practical decision may be to use online surveys spread around varying interest groups to get a wide range of data quickly.

Answer:

Since the aide has only 3 days to come up with the results So, firstly he will collect the data of those people only who has the right to vote which is called the population of interest.

The size of the sample will depend on the population of the country.

Finally, for method of selection, a random and wide range of people must be surveyed. Ideally, he would want people from different professions, age groups, political parties, and geographical locations.

Since the aide has only 3 days, the most practical decision may be to use online surveys spread around varying interest groups to collect the information in the given short period of time. Because it is very difficult to collect this information in a very short period of time.

Checking on answer to this

Answers

no, 1 hole pie is = 10/10. 
so if 5 people each take 2/10 that is equal to
2/10 x 5 = 10/10 thus 1 
so none of the pie is left 

Sylvia has 3/4 of a yad of paper to wrap candles. It takes 1/8 of a yard of paper to wrap each candle. How many candles can Sylvia Wrap?

Answers

Sylvia can wrap 6 candles.

Sylvia can wrap 6 candles.

To find out how many candles Sylvia can wrap with 3/4 of a yard of paper, we need to divide the total paper by the paper needed for each candle. Since it takes 1/8 of a yard to wrap one candle, we can find the number of candles by dividing 3/4 by 1/8:

3/4 ÷ 1/8 = 3/4 x 8/1 = 6 candles

Therefore, Sylvia can wrap 6 candles with the available paper.

A carpenter makes custom desks. He currently has 7 desks in his showroom. If he can build 3 desks each week, how many weeks will it take him to have a total of 22 desks?

Answers

7.5 weeks because 22÷3
5 weeks
He already has 7 desks
Subtract 7 from 22
Leaves him 15
Divide by 3
Answer is 5 weeks

Determine which of the following expressions simplifies to x - 4y. Select all situations that apply.

-x(-2 + 8y)
-(-2x + 8y)
3(x - 2y) + 2(y - x)
(y - x)(-2) (-2)

Answers

3(x - 2y) + 2(y - x)  is your answer:

Proof:
Simplify the following:
3 (x - 2 y) + 2 (y - x)

3 (x - 2 y) = 3 x - 6 y:
3 x - 6 y + 2 (y - x)

2 (y - x) = 2 y - 2 x:
3 x - 6 y + 2 y - 2 x

Grouping like terms, 3 x - 6 y - 2 x + 2 y = (3 x - 2 x) + (2 y - 6 y):
(3 x - 2 x) + (2 y - 6 y)

2 y - 6 y = -4 y:
-4 y + (3 x - 2 x)

3 x - 2 x = x:
Answer:  x - 4 y

Answer:

The above one is partly correct the answer (for odyssey ware) is                        (-(1)/(2)x+2y)(-2)

-(1)/(2) (-2 x + 8 y)

and 3( x - 2 y) + 2( y - x)

Hope this helps people in the future ☜(ﾟヮﾟ☜)

Step-by-step explanation:

the speed of an object in space is shown in the graph

what is the slope of the line ?

Answers

Answer:

Step-by-step explanation:

The answer is fifteen

Explanation:  6-3/0.4-0.2=3 over 0.2 which is equivalent to 15

Answer B: 15

Step-by-step explanation:

Help help help help help

Answers

I believe it should be B because it says one more than twice the number so that means addition. Also it says twice the number so that should be 2w.
I’m not 100% sure but it is my best guess

Which of the following graphs shows the value of the antique clock, y, in dollars, after x years?

Answers

There is no attachment.

The graph shows how the cost of gasoline

Answers

it decreases 2 times
It decreases 2 times

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

can't answer due to the green box blocking part of the question

xfinity cable charges $60 set up fee and $80 a month for cable. direct tv has. a $160 equipment fee and $79 a month for cable services. How many months will it take before the cost is the same? What is that cost?

Answers

The correct answer is 100 months, 8060$,

To solve this problem, we need to find the point where the total cost of Xfinity cable and Direct TV cable services become equal, and then calculate the corresponding cost at that point.

Given:

- Xfinity cable charges a [tex]$60[/tex] setup fee and [tex]$80[/tex] per month.

- Direct TV charges a [tex]$160[/tex] equipment fee and [tex]$79[/tex] per month.

Let's define the total cost functions for both cable services:

Xfinity cable total cost ([tex]C_x[/tex]) after x months:

[tex]C_x = 60 + 80x[/tex]

Direct TV total cost ([tex]C_d[/tex]) after x months:

[tex]C_d = 160 + 79x[/tex]

To find the point where the total costs are equal, we set the two equations equal to each other and solve for x:

[tex]60 + 80x = 160 + 79x[/tex]

[tex]x = 100[/tex]

Substituting x = 100 into either equation, we can find the total cost at that point:

[tex]C_x = 60 + 80(100) = 8060[/tex]

[tex]C_d = 160 + 79(100) = 8060[/tex]

Therefore, after 100 months, the total cost of both cable services will be the same at [tex]$8060[/tex].

What is 7.3 x 10^2 = !????
Help!?

Answers

Hey there! 

[tex]10^2 = 10(10) = 100 \\ \\ \\ 7.3(100) = 730 \\ \\ \\ \\ \\ Answer: 730[/tex]

Good luck on your assignment and enjoy your day! 

~[tex]LoveYourselfFirst:)[/tex]

Subtract.

(6k+2)−(3k−2)

Enter your answer, in simplified form, in the box.

Please answer!

Answers

(6k + 2) - (3k - 2)= 6k + 2 - 3k + 2 = 3k + 4
The answer is 3k+4 Hope this helps

Each of the two congruent sides of an isosceles triangle is 8 inches less than twice the base.the perimeter of the triangle is 74 inches ,what is the length of the base

Answers

if base is x
congruent side = 2x-8
perimeter=2 congruent sides +base

2(2x-8)+x=74
4x-16+x=74
5x=58
x=11.6

length of the base is 11.6 inches
Final answer:

The length of the base of the isosceles triangle is 18 inches.

Explanation:

Let the length of the base be 'b' inches. According to the given information, each of the congruent sides of the isosceles triangle is 8 inches less than twice the base. So, the length of each congruent side is (2b - 8) inches.

The perimeter of the triangle is the sum of all three sides, which is given as 74 inches. So, we can write the equation:

(2b - 8) + (2b - 8) + b = 74

Simplifying the equation, we get:

5b - 16 = 74

5b = 90

b = 18

Therefore, the length of the base is 18 inches.

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The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF? √10

Answers

If the length is 4 times from DE=4AB then the corresponding length of EF which is BC is also 4 times larger. Length of BC=sqrt((2-1)^2+(-1-3)^2)=sqrt of 17 Hence, length of EF is 1/4 of sqrt 17. Hope it helps

Answer:

The length of EF is [tex]4\sqrt{17}[/tex] units.

Step-by-step explanation:

The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1).

Using distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]BC=\sqrt{(3+1)^2+(1-2)^2}=\sqrt{17}[/tex]

It is given that ΔDEF ∼ ΔABC.

If two triangles are similar then the corresponding sides are proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]

[tex]\frac{AB}{4AB}=\frac{BC}{EF}[/tex]        (DE = 4AB)

[tex]\frac{1}{4}=\frac{BC}{EF}[/tex]

[tex]EF=4\times BC[/tex]

[tex]EF=4\times \sqrt{17}[/tex]

[tex]EF=4\sqrt{17}[/tex]

Therefore the length of EF is [tex]4\sqrt{17}[/tex] units.

light travels at a rate of 1.86 x 10^5 miles per second. if the distance from a star to a planet and its orbit is 32,000,000 miles, find how long it takes to light of the star to reach the planet in seconds.

Answers

I'm a 15 yr old 10th grader. I see myself working for nasa one day. I love astronomy and it is what i live for.
Light travels at 1.86x10 to the 5th in another word 1.86000 ( 186k ). The planet is 32,000,000 miles away ( 32 million miles ) 32 million divide by 186k = 172.043010753
There is your answer. IT WILL TAKE LIGHT 172.043010753 ( YOU CAN ROUND IT UP ) SECONDS TO REACH THE PLANET. 
I hope it helped you out. You can contact me on instagram ( nymul_yt ) and let me know if you got it or get it right. I will try to answer all of your astronomy question. Me and my friend love astronomy. Astronomy is what we live for.

Owen plots the numbers 4, ???6, ???8, and ???3 on a horizontal number line. Which list shows the numbers in the order in which they would appear from left to right on the number line?
???8, ???6, ???3, 4
???3, ???6, ???8, 4
???3, 4, ???6, ???8
???8, ???6, 4, ???3

Answers

I think the correct answer is A

Answer:

The answer is a. the real answer

Step-by-step explanation:

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