A water tank in Stewart's
home had a small, steady
leak.
Loss of 1 3/5 mL in 10 min.
a. Use a complex fraction to
represent the change in the
volume of water in 1 minute.
___ milliliters
10 minutes
b. Simplify the complex fraction to find the change in the volume of water in the tank in 1 minute.

Answers

Answer 1

The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:

The total leak must be calculated and divided by the 10 minutes duration.  3/5 = 0.6 1 + 0.6 = 1.6 1.6 / 10 = 0.16

Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.

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Related Questions

9 to the power 18 = 27 to the power x work out the value of x

Answers

Answer:

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

So 3^3x = 3^(2-x)

Comparing powers on both sides,

3x = 2 - x

So, 4x = 2

So, x = 1/2

Given ( 27 ) ^ x = 9 / 3 ^x

⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x

⇒ ( 3 ³ )^x = 3² / 3^x

⇒  3 ^ 3x × 3^x = 3²            [ since  ( a ^m)^n = a ^mn ]

⇒ 3^ (3x +x) = 3²                [ since a^m × a^n = a ^m+n ]

⇒ 3^4x = 3²

⇒4x = 2                      [ since  If a ^m = a ^n then m = n ]

⇒ x = 2 / 4

 ∴ x = 1 / 2

I hope this helps you.

3/5 × 7 1/2 ÷ 2 7/10

Answers

Answer:

simplify??

Step-by-step explanation:

Exact form:5/3

Decimal form:1.6

Mixed number form:1 2/3

Could someone please help answer this (homework help) will give brainliest, please no spam, thank you!

Answers

Answer:

m= 4(25) + 2(7)

m= 100 + 14

m= 114

For what value of x is line f parallel to line g?

Answers

Answer:

13

Step-by-step explanation:

So the concept is that co-interior angles add up to 180 in parallel line. This means:

3x + 9 + 9x + 15 = 180

So we solve for x.

12x + 24 = 180 ( What I did was simplifying the equation).

12x + 24 - 24 = 180 - 24

12x / 12= 156 / 12

x = 13

HOPE THIS HELPED

Consider the linear equation y=4x-7 find the value of y that makes the given ordered pair a solution to the equation (3, y) Y=

Answers

Y = 4x - 7 is a line with a slope of 4 and y-intercept of -7.

plug in any X value, for example 1 and you get the following

y = 4(1) - 7

y = -3

(1,-3) is a point that satisfies the equation y = 4x - 7

what is 9,340 x 4/3.

Answers

Answer:

12453.3333333

Step-by-step explanation:

4/3 is the same things as 4 ÷ 3 which is 1.33333333333

1.33333333333*9340 = 12453.3333333

Hope this helps!

what is the estimate of 19,369

Answers

Answer:

19,500

Step-by-step explanation:

This is probably a good one.

Consider the graph of f(x).
12
10
-6
- 4
120
2 4 6 8
Which statements are true about tthe function represented by the graph?
Select all that apply.
The y-interceptis (0.-2).
The x-interceptis (0,5).
The domain of the function is (-3.3)
The domain of the function is all real numbers.

Answers

Answer:

The domain of the function is all real numbers.

Step-by-step explanation:

The answer is not A because the y-axis is the vertical (straight up and down) axis, and it crosses of that at positive 5.

The answer is not B because the x-axis is the horizontal axis, and it crosses that at negative 2.

Don't let them confuse you by saying the intercepts of one is the other!

It is also not C because the answer is D, we know this because the arrows at each end of the arrow signify that the line keeps going infinitely in each direction.

Hope this helps!

solve for the value of r

Answers

Answer:

[tex]r = 13[/tex]

Step-by-step explanation:

[tex](8r + 5) + (5r + 6) = 180 \\ 13r + 11 = 180 \\ 13r = 180 - 11 \\ 13r = 169 \\ \\ r = \frac{169}{13} \\ \\ r = 13[/tex]

Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x can be used to represent this situation.


What is the constant of proportionality? Express your answer in decimal form.

Answers

Answer:

2.58

Step-by-step explanation:




A factory uses 220,000 gallons of water to produce
2 tons of steel. How many gallons of water are
needed to produce 1 pound of steel?


A 55 gallons
B 110 gallon
C 110,000 gallon
D 440,000 gallon

Answers

2 tons = 4,000 pounds

So, 220,000 gallons of water is used to produce 4,000 pounds of steel.

4,000 pounds = 220,000 gallons

Divide both sides by 4,000 to get:

1 pound = 55 gallons.

So the correct answer is A.

Statement (Mathematical Steps) 12 > 7(4 + 5) − 19 show ecah reasonReason

Answers

Answer:

4 23/42 ≅ 4.547619

Step-by-step explanation:

Classify the system of equations and identify the number of solutions.
2x + y = 5
6x + 3y = 25
inconsistent; one
consistent, dependent; one
consistent, dependent; infinite
inconsistent; none
HELP ASSAP PLS

Answers

Step-by-step explanation:

2x + y = 5 (times 3)

6x + 3y = 25

↓↓↓↓↓↓↓↓↓↓↓↓

6x + 3y = 15

6x + 3y = 25

No solution

2x+y=5

y=-2x+53y=-6x+15--(1)

6x+3y=25

3y=-6x+25

As slopes are equal lines are parallel

So no solutions

Option D

Type the correct answer in each box.

The value of x is ___°, and the value of y is ___°.

Answers

Answer:

The value of x is 60°, and the value of y is 50°.

Step-by-step explanation:

50°+70°+x°=180°

x=180°-120°

x=60°

similarly the angle on the left side of x will be

70°

All these angles form 180°(linear pair)

hence, 70°+60°+y°=180°

130°+y°=180°

y°=180° - 130°

y°=50°

Hope this helps you. Have a nice day. Please amrk as braiiest. It helps a lot.^_^

the sum of three numbers is 106. the first number is 6 less than the second. the third is 2 times the first

Answers

Answer: 31/25/50

Explanation: 31 is the second one. 6 less than second is 25 which is the first one, and third is 2x the first so 50

50 + 25 + 31 = 106

0.8% of 150 is what numbers and how do you write the equation with a variable in it.

Answers

Answer:

1.2

Step-by-step explanation:

1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this: [tex]\frac{0.8}{100} * 150 = x[/tex]

2. Now, let's solve for x!

[tex]\frac{0.8}{100} * 150 = (0.008)(150)[/tex] [tex](0.008)(150) = \frac{6}{5}[/tex] [tex]\frac{6}{5} = 1\frac{1}{5}[/tex] [tex]1\frac{1}{5} = 1.2[/tex] [tex]1.2[/tex]

Therefore, 0.8% of 150 is 1.2!

Can someone help me do this

Answers

The answer is Angle T = angle N

Please when giving answer please show the work my teacher won’t let me turn it in with just the answer

Answers

Answer:

5000 millimeters

Step-by-step explanation:

5*1000=50

A ride sharing company offers two options: riding in small cars that can carry up to 3 passengers each, or riding in large vans that can carry up to 6 passengers each. A group of 27 people is going to use the ride sharing service to take a trip. The trip in a small car costs $10 and the trip in a large van costs $15. The group ends up spending $80 total. An equation that represents one of the constraints is 3x+6y=a. What is the value of a?

Answers

Answer:

a = 27

Step-by-step explanation:

3x + 6y = a

From the given information, 3 and 6 are the numbers of passengers that cars and vans can take. That means x and y must be the numbers of cars and vans, and a is the total number of passengers.

a = 27

In class today, we had 98 notebooks and 70 children.If each child gets two notebooks, how many more notebooks will we need?

Answers

Answer:

42

Step-by-step explanation:

times 70 by two to get how many notebooks needed total.

70*2=140

subtract how many notebooks you already had.

140-98=42

The no. of notebooks we need more will be equal to 42 notebooks.

It is given that no. of notebooks available is 98 and there are 70 children in class.

We have to find no. of notebooks needed more if each child gets two notebooks.

What is algebra ?

Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations and the symbols are called variables.

As per the question ;

No. of notebooks we had in class = 98 notebooks

And

Total no. of children = 70 children

The no. of notebook each child gets = 2 per child

So ;

70 children will get no. of notebooks ;

= 70 × 2

= 140 notebooks

The no. of notebooks we need will be ;

= 140 - 98

= 42 notebooks

Thus , the no. of notebooks we need will be equal to 42 notebooks.

To learn more about algebra click here ;

https://brainly.com/question/22516053

#SPJ2


5. Which of the following is a sign that you have a budget deficit?

Your savings account balance grows every month.

. You overdraw your checking account on a consistent basis (with a $25 cost per overdraft).

Your checking account balance grows every month.

Answers

B becuase money stuff

B is the midpoint of AC. if ac =10 and BC =x+1 find the value of x

Answers

Answer:

x=9

Step-by-step explanation:

x+1=10

*subtract 1 from both sides

x=9

A recipe called for the ratio of sugar to flour to be 8 : 7.If you used 48 ounce of sugar, how many ounces of flour would you need to use?​

Answers

Answer:

42 ounces of flour

Step-by-step explanation:

8 - 48

7 - x

When you cross multiply, you get:

8x = 7*48

8x = 336

x = 336/8

x = 42

Feel free to mark this as brainliest! :D

Find the midpoint of (-6,2) (-4,-11)

Answers

Answer:

(-5,-4.5)

Step-by-step explanation:

Add −1.5+1.75

Plot the first addend and the sum on the number.

Answers

Answer:

0.5+0.75=0.80

now

1+1=2

2+0.80=2.89

Answer:

.25

Step-by-step explanation:

its very easy btw you shouldn't have needed to post it just use a calculator.

The ____ of the ratio of two proportional qualities?

Answers

Answer:

2

Step-by-step explanation:

its 2

help pls
what is the slope intercept form of (4,-3) and (2,1)

Answers

Step 1: Find the Slope

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (4, -3)

Point 2 = (2, 1)

Slope = (1 - - 3) / (2 - 4) = (4) / (-2) = -2

Step 2: Find the Y-Intercept

Plug in the slope and one of the points into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

1 = -2(2) + b

1 = -4 + b

b = 5

Step 3: Put it all together

Plug in the slope and y-intercept into slope-intercept form.

Slope-Intercept Form: y = mx + b

y = -2x + 5

Hope this helps!! :)

Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skateboard was $84.50. The sale price for the skateboard is $50.70 What is the percent decrease in the price of the skateboard?

Answers

Answer:

40

Step-by-step explanation:

Mary Seitz invested a certain amount of money in a savings account paying ​3% simple interest per year. When she withdrew her money at the end of 3​ years, she received in $3900 interest. How much money did Mary place in the savings​ account?

Answers

Answer:

351

Step-by-step explanation:

3%=0.03

3900*0.03*3=351

A REALITY OF RATIONAL ALGEBRAIC EXPRESSIONS​

Answers

Rational equations can be used to solve a variety of problems that involve rates, times and work. Using rational expressions and equations can help you answer questions about how to combine workers or machines to complete a job on schedule.

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