10. Model with mathematics. The flow rate on the Otter River Run can

vary up to 90 gallons per minute from the target flow rate of 640 gallons

per minute. Write and solve an absolute value equation to find the

extreme values of the flow rate on the Otter River Run.

Answers

Answer 1

Answer:

Extreme Flow Rates = 730 gallons per minute | 550 gallons per minute

where,

Maximum Flow Rate = 730 gallons per minute

Minimum Flow Rate = 550 gallons per minute

Step-by-step explanation:

The extreme values of a quantity are the minimum and the maximum acceptable  values of that quantity. These values can be found by adding and subtracting the allowed variation from the target value, for maximum and minimum value, respectively. Therefore:

Extreme Flow Rates = Target Flow Rate ± Allowed Variation in Flow Rate

Extreme Flow Rates = 640 gallons per minute ± 90 gallons per minute

Extreme Flow Rates = 640 gallons per minute + 90 gallons per minute | 640 gallons per minute - 90 gallons per minute

Extreme Flow Rates = 730 gallons per minute | 550 gallons per minute

where,

Maximum Flow Rate = 730 gallons per minute

Minimum Flow Rate = 550 gallons per minute


Related Questions

The math club at Emily's middle school has 40 members. Only 85% of the members attend Saturday meetings. Use the number line below to determine the number of members who attend Saturday's mee

Answers

Answer: 34 members.

Step-by-step explanation:

We have 40 members.

Only 85% of them attend the Saturday meetings.

If we have a set of N objects, and the x% of them can be calculated as:

(x%/100%)*N

Now, if we want to know the exact amount that attends the Saturday meetings, then we must compute:

(85%/100%)*40 = 0.85*40 = 34.

Answer:

Please see attached number line

The 85% corresponds with having 34 members in attending Saturday meetings

Step-by-step explanation:

The number of members in the math club at Emily's middle school = 40

The percentage of members that attend Saturday meetings = 85%

Therefore, the number of members that attend Saturday meetings is given as follows;

85% of 40 = 0.85 × 40 = 34 members

Where we have a number line graduated in percentages, we get;

Percentage of members, 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

Number of members, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40

Therefore, the 85% corresponds with having 34 members in attending Saturday meetings

If the top of Mt. Everest is 29,035 ft and Death Valley in California at it's lowest point is negative 282 ft. What is the difference between the top of Everest and the bottom of the Valley?​

Answers

Answer: 29317

Step-by-step explanation:

What is 5x-(3+7)=9+2(x-8)

Answers

5x-3-7=9+2x-16
5x-10=2x-7
5x-2x=-7+10
3x=3
X=1

Answer:

x= 1

Step-by-step explanation:

5x - (3+7)=9+2(x-8)

Add the numbers 3 + 7= 10

5x - 10= 9 + 2(x-8)

Expand 9 + 2(x-8): 2x - 7

5x - 10 = 2x - 7

Add 10 to both sides

5x -10 + 10 = 2x -7 + 10

Simplify 5x = 2x + 3

Subtract 2x from both sides

5x -2x = 2x + 3- 2x

Simplify

3x = 3

Divide both sides by 3

3x/3 =3/3

Simplify

x= 1

4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-





!!!!!!!!!!!!!!!!!!!

Answers

Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?

Answers

It gained 2 lb. because if you subtract 8-6 you would get 2. So Arfus gained 2 lb.

4 subtracted from twice w, the result is 20 more than w. Find w

Answers

Answer:

w = 24

I hope this helps!

W=12 as shown in pic good luck

what is the slope of a line that passes through (-4,1) and (5,2)

Answers

basically use the formula y1-y2 over x1-x2 and just plug in the number


HELP!!!!
It was saying that my question is to short so I am just writing this to make it longer! and Thank you to the person who answers my question I do appreciate you taking time out of your day to help me!

Answers

I do know see any ? Above

Julio says, "if you subtract 14 from my number and multiply the difference by -2, the result is -42." what is julio's number?​

Answers

Answer:

let the number is x

-2(x-14) = -42

-2x + 28 =-42

-2x = -70

x= 35

Step-by-step explanation:

What is the first step of the following division problem?

(8x3 – x2 + 6x + 7) ÷ (2x – 1)
Divide 8x3 by 2x.
Divide 2x by 8x3.
Divide 6x by 2x.
Divide 2x by 6x.

Answers

Answer:

Divide 8x^3 by 2x

Step-by-step explanation:

Here, we want to identify the first step to take in the polynomial division.

When working with a polynomial division, what to do is to divide the first term of the dividend by the first term of the divisor ( the divisor is arranged in descending powers of x)

The number we want to divide is the dividend, while the number we are using to divide is the divisor.

In this case, the first term of the dividend is 8x^3 while that of the divisor is 2x

The first step of the following division problem is to divide 8x³ by 2x

How to divide polynomials

Given:

(8x³ – x2 + 6x + 7) ÷ (2x – 1)

(8x³ – x2 + 6x + 7) is the divided

(2x – 1) is the divisor

Dividend is number or expression that is to be divided by another

Divisor is the number which is used to divide another.

The first step in the be division of polynomial is to divide the first term of the bc dividend by the first term of the divisor.

Learn more about polynomial:

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A parent volunteer group is raising money by making custom hats to sell at school activities they plan to sell the hats for $11 each hat costs $5 to make they spent $50 advertising

Answers

Answer:

(11 - 5)n - 50

Step-by-step explanation:

Cost of 1 hat = $5Selling price = $11Advertising = $50

Let the number of hats be n. Then money made is

Profit for each hat:

(11-5)

Profit for n hats

(11 - 5)n

Deduct cost of advertisement - 50

(11 - 5)n - 50

Option C is correct

6/10= x/15 Whats is the x?

Answers

Answer:

9

Step-by-step explanation:

Step 1:

6/10 = x/15

Step 2:

10x = 90

Answer:

x = 9

Hope This Helps :)

Answer:

x=9

Step-by-step explanation:

6/10 =x/15

10x =15 ×`6

10x =90

x=90 :10

x=9

where is sandy mistake ive been trying for 30 mintues and still cant find it im not very good at math please help

Answers

Answer:

Sandy did not follow PEMDAS and added first instead of doing her multiplication and division and then her addition and subtraction the answer would be 18

What is the exact number of hundreds in 4,575?

Answers

Answer:

45

Step-by-step explanation:

3rd from the left and over r considered 100s

forty five because its 3rd from the left

Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.​

Answers

Answer:

23

Step-by-step explanation:

Let the mean also is x

Mean = Sum of all observations / Total no of observations

x = 30 + 12 + 40 + 10 + x / 5

5x = 92 + x

4x = 92

x = 23

Therefore 23 is the mean and also one of the numbers.

The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

It is known that,

Mean = sum of data / Number of data

x = (30 + x + 12 + 40 + 10)/5

5x = x + 92

4x = 92

x = 23

Hence "The value of x such that mean of  30, x, 12, 40, and 10 is equal to x will be 23".

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The ratio table below shows the number of eggs per omelet.
Omelets
Number of eggs
Number of omelets
18
?
9
3
6
2
3
1
How many omelets can be made with 18 eggs?
4
6
9
12.

Answers

Answer:

B(6

Step-by-step explanation:

The number of omelets made by 18 eggs will be 6. The correct option is B.

What is the ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

The number of eggs required to make the number of omelets is given in the tables as:-

omelets        eggs

    ?                 18

    3                 9    

    2                 6

    1                  3

The ratio of omelets and egg is calculated as:-

omelets: egg = 3 : 9      

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:-

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x ( 1 / 3 )

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

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2(w-9)=5w+6+w i need help on this question?

Answers

Answer:

w=-6

Step-by-step explanation:

2(w-9)=5w+6+w

multiply 2 to the (w-9), also add the 5w to the other w

2w-18=6w+6

subtract 2w to 6w

-18=4w+6

subtract 6 to -18

-24=4w

divide 4 to -24

THE ANSWER IS -6

X + 9 = 7
How do you move the constant to the right side and change it’s sign

Answers

Step-by-step explanation:

X + 9= 7

get x by itself you -9 on both sides

X + 9 = 7

- 9. -9

X = -2

X + 9 = 7
You can throw the X to the right side and change to -X
9 = 7 - X
OR You can add both sides with -X
X + 9 - X = 7 - X
9 = 7 - X
Then you can do the same with 7 by throwing it to the left side and get -7
9 - 7 = - X
2 = - X
Now throw the -1 to the left side ( -X = -1X )
2(-1) = X
X = -2

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34

Answers

Answer: 31, hope this helps❤

Step-by-step explanation:

If f(4) = 22, then the value of f(1) is 31.

What is Sequence?

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given a sequence defined as,

f(n + 1) = f(n) - 3

Given,

f(4) = 22

We know from definition,

f(4) = f(3) - 3

So, f(3) = 22 + 3 = 25

Similarly,

f(2) = 25 + 3 = 28

f(1) = 28 + 3 = 31

Hence the correct option is 31.

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Please please help
|q-8|=14

Answers

Answer:

22, -6

Step-by-step explanation:

q-8=14 or 8-q=14

q=22 or q= -6

Answer:

the answer for the problem |q-8|=14 is q=22 or q= -6

If 2x-1 = 13, evaluate the expression below. -x^2-4x
Explain please.

Answers

Answer: -77

Step-by-step explanation:

2x - 1 = 13

Add 1 on both sides

2x = 14

x = 7

Substitute x to 7

-(7)^2 -4(7)

Solve

-49 - 28 = -77

Answer:

-77

Step-by-step explanation:

-x^2-4x to [tex]-7^{2}[/tex]- ( 4  × 7)

-7^2 - ( 4  × 7)

-49 - ( 4  × 7)

-49 -28

=

-77

one third of one seventh of a land is sold for RS. 30000.What is the value of land? ​

Answers

Answer:

Step-by-step explanation:

Let the value of the land = Rs . 30000

[tex]\frac{1}{3}of\frac{1}{7}of x = 30000\\\\\\\frac{1}{3}*\frac{1}{7}*x = 30000\\\\\\x = 30000*\frac{3}{1}*\frac{7}{1}\\\\\\[/tex]

x = Rs. 630000

An airplane takes off over flat area when it is 2500' above the Earth it has covered 3000' on the ground how many feet approximately has it flow through the air

Answers

Answer:

3905.12 feet

Step-by-step explanation:

we can form a triangle in order to use the Pythagorean theorem: a² + b² = h²

where:

a = distance covered on the ground

b = height above the Earth

3000² + 2500² = h²

h² = 9000000 + 6250000 = 15250000

h = √15250000

h = 3905.12 feet

Solve x2+8x-10=0 by completing the square. What are the solutions? *answer choices are in the picture

Answers

Answer:

Last option

Step-by-step explanation:

Step 1: Write out equation

x² + 8x - 10 = 0

Step 2: Add 10 to both sides

x² + 8x = 10

Step 3: Complete the Square

x² + 8x + 16 = 10 + 16

(x + 4)² = 26

Step 4: Square root both sides

x + 4 = ±√26

Step 5: Subtract 4 on both sides

x = -4 ± √26

(30 points) find the measure of each lettered angle a= b= c= d= e= f= g= h= i=

Answers

Answer:

a=90 b=90 c=90 d=148 e=32 f=148 g= 122 h=58 l=122

Step-by-step explanation:

a is supp. to 90 degrees, therefore it is 90 (180-90)=90.

b and c are vertical angles, therefore they are the same as the angle directly across from them

d is supp. to 32 degrees, therefore it is 148 (180-32)=148

e and f are vertical angles, therefore they are the same as the angle directly across from them

g is supp. to 58 degrees, therefore it is 122 (180-58)=122

h and l are vertical angles, therefore they are the same as the angle directly across from them

A new computer game costs $32.50. Find the cost with tax if the tax is
7%. Round to the nearest cent. *
*

Answers

Answer:

$34.78

Step-by-step explanation:

...............

Which expression represents the following number line?
+++++++++
-8-7-6-5-4-3-2-1012
0-6+3 = 3
6+3=3
0-6-3= -3
3-6-3
Help ASAP

Answers

The Answer is -6+3=-3 because the little dot thing starts at -6 but it’s going to the right so when it goes to the right that means your going to have to add so your going to add 3 and if you add -6+3 you will get negative three ! Hope this helps !

40x-20=100+10x x= Please help asap!

Answers

Answer:

x= 4

Step-by-step explanation:

40x-20=100+10x

Subtract 10x and add 20 both sides:

30x= 120

x=4

What is this called? I’m trying to look up a video on how to do these.
y = - 7/2x -4

Answers

Answer:

linear equations, only when it is y=(equation with an x  

variable)) or x=(equation with an y  

variable), usually you tend to graph these.

The length of segment AB is 10 cm
If you draw a point halfway between A and B and label the point C, what is the
length of AC?

Answers

Answer:

Step-by-step explanation:

The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.

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