Mathematics High School

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

a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal

Answers

Answer:

96 and 192 calories

Step-by-step explanation:

Given

72 calories in a 3/4 cup

Divide both by 3/4 to find the unit rate:

72:3/4 in 3/4:3/496 calories in 1 cup

Then multiply both by 2 to get the calories for 2 cups:

96*2 = 192 calories

what is the DOMAIN of the graph

Answers

Answer:

The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates,  Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

Please help, question is in photo below, about finding angles.AWARDING MORE POINTS

Answers

The measure of angle ABC = ABD + DBC = 95 degrees.

Let's plug our values from the picture into our equation above.

95 = 2x + 23 + 9x - 5

Combine like terms

95 = 11x + 18

Subtract 18 from both sides

77 = 11x

Divide both sides by 11

7 = x

Angle ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37 degrees.

Angle DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58 degrees.

What is the slope of the linear function represented in
the table?
-7
-1/7
1/7
7

Answers

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

If c(x)=x-2 what is the value of x if c(x)=3.5

Answers

Answer:

5.5 = x

Step-by-step explanation:

c(x)=x-2

3.5 = x-2

Add 2 to each side

3.5+2=x-2+2

5.5 = x

One day Freya eats 12 ice creams
in 6 hours and the second day she
eats 14 ice creams in 7 hours. How
many ice creams does Freya eat
per hour?

Answers

Answer:

she ate 2 ice creams per hour

Step-by-step explanation:

2 per hour.

12 ice creams divided by 6 hours: 12/6 =2
14 ice creams divided by 7 hours: 14/7= 2

Hope this helps!
Have a good rest of day!
Make sure you ate today

Find the value of x.
(2x + 4)
(3x + 1)

Answers

Answer: x= 17°

Step-by-step explanation:

The interior angle of a triangle adds up to 180 degrees. It indicates that it is a right triangle so it already has a 90 degree angle  and if you add it to the two other angles they have to equal 180 degrees.  

(2x + 4 ) ( 3x + 1) + 90 = 180  

5x + 95 = 180

    -95       -95

5x = 85

x = 17

The correct answer is x= 17 make sure you highlight the equations in two different colors so you which equations you put first when your solving

Of the total runs made by Indian team during a cricket match Sachin scored 44% and dhoni scored 39% if Sachin scored 30 runs more than Dhoni find the score of indian team

Answers

Answer:

difference in percentage = 44-39=5%

difference in number =30

let total number of run by team be x

5% 0f x= 30

0r 5x = 3000

x= 300/5 = 600

Step-by-step explanation:

Simplify the expression 3(2x - y) + 2(4x + y).

Answers

here’s the answers
14x-y

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3(2x - y) + 2(4x + y)}[/tex]

Distribute 3 through the parentheses

Similarly , distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{6x - 3y + 8x + 2y}}[/tex]

Combine like terms and simplify

[tex] \dashrightarrow{ \sf{6x + 8x - 3y + 2y}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{14x - y}}}[/tex]

Hope I helped!

Best regards! :D

Solve this please, and quick

Answers

Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.

Answer:

3.2

Step-by-step explanation:

7x + 12 + 9x = 7

16x + 12 = 7

       - 12    -12

16x = -5

16 divided by -5 is 3.2

x = 3.2

y+7=-2/3(x+6) as a linear function

Answers

Go to your graph , and make a straight line . A linear function is basically a line , so make a line to those numbers in the graph .

HELP ME PLEASE NEED HELP ASAP !!

Answers

Answer:

Step-by-step explanation:

The answer is A

they are corresponding angles

Write as a single power
(-5)(-5)(-5)(-5)​

Answers

I think the answer is 625

Answer:

-5^4

Step-by-step explanation:

I hope this helped.

30 points if you answer

Answers

R+5+3r-14=35

4R-9=35

4R=44

R=11

Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer

Answers

Not sure about this one

Answer:

omg here is the answer

Step-by-step explanation:

ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS

Answers

Answer:

$16???

Step-by-step explanation:

Because each pizza costs $6 and each topping costs $2 each and they want 5 toppings so you want to multiply 5 X 2 and get 10 then add the 6 therefore the answer is 16!!..

Answer:

$16

Step-by-step explanation:

f(x) = 4x - 2
g(x) = 3x - 1
find (f - g) (2)

Answers

Answer:

Step-by-step explanation:

4x - 2 - 3x + 1 = x - 1 is the solution

7. if m< FGE = 5x + 10, find the value of x so that FC AE
8. if m

Answers

Answer:

22

Step-by-step explanation:

Last night, Olivia spent 125 hours on her math homework, then 45 minutes on her science homework. What is the total time she spent doing her math and science homework?

Answers

Answer: she spent 126 hours on her math and science homework together

Step-by-step explanation: because i rounded.

Did you misspell it? or did she legit spend 125 HOURS not minutes because if its minutes the answer would be 2hrs 50 min if not it would be 5 days 5hrs and 45 min

You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money

Answers

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)


this is integrated math2, i’m so lost idk what this is

Answers

Answer:

A. SAS

Step-by-step explanation:

[tex] In\:\triangle ABM \:\&\:\triangle CBM\\

\overline{AB} \cong \overline{CB}.... (given) \\

\angle ABM \cong \angle CBM....(given) \\

\overline{BM} \cong \overline{BM}.... (common) \\

\therefore \triangle ABM \:\cong\:\triangle CBM..... (SAS\: Postulate) [/tex]

Sandy is upgrading her Internet service. Fast Internet charges $20 for installation and $50.45 per month. Quick Internet has free installation but charges $52.95 per month.

Answers

okay.. what’s the question

A cookie factory uses 4 1/4 bags of flour in each batch of cookies. The factory uses 8 1/2 bags of flour yesterday. How many batches of cookies did the factory make

Answers

Answer:

2

Step-by-step explanation:

4 1/4 bags of flour multiplied by 2 is 8 2/4 and that's equivalent to 8 1/2

Answer:

The answer is 2 Batches

Step-by-step explanation:

The answer is 2 because 4 1/4 multiplied by 2 is 8 2/4 or in a simplified version 8 1/2.

Help please!!!
Three fourths of the difference of a number and 7 is negative filteen. What is the number?​

Answers

Answer:

The number is 27

Step-by-step explanation:

let the number be x

3/4 ( 7-x)=-15

21/4 - 3/4x=-15

collect like terms

-3/4x=-15-21/4

-3/4x=-81/4

divide both sides by -3/4

x=27

pls help fast......​

Answers

Standard form is just putting the exponents in descending order.

Standard form: 13x^8 + 4x^5 - 16x^2

The degree of a polynomial is the largest exponential value of a term.

In this case, the degree of the polynomial = 8

Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the following is another way to write this ratio?

1) 1:3

2) 3:4

3) 4:3

4) 7:3

Answers

Answer: 4:3

Step-by-step explanation: Because there are 4 game app for every 3 educational app.

The answer is 2.95 (correct to 2 decimal places)

List 5 numbers that could have been rounded up to give 2.95

Answers

Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

Answer:2.9477843782957987827878

Step-by-step explanation:

Which one of these numbers is in the solution set of x - 12= 3? Apex

A. -9
B. 9
C. 15
D. 4

Answers

Answer:

c.15

Step-by-step explanation:

x-12=3

-12+12

 3+12

 x=15

Determine the answer to (−5) + 4 and explain the steps using a number line.

Answers

Answer:

-1

Step-by-step explanation:

when adding on a number line you always go to the right.

-5+4=-1 , so you would move 4 places to the right on the number line.

(-5)+4
-5+4
-1

is the correct answer

Combine the terms in the following expressions.
a. 10x-4x

Answers

Answer:

6x

Step-by-step explanation:

Step 1:

10x - 4x

Answer:

6x

Hope This Helps :)

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