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vazorg [7]
3 years ago
14

If Joseph can read 4 books in 12 days, how many books does he read each day?

Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Answer:

1/3

Step-by-step explanation:

Take the number of books and divide by the days

4/12 = 1/3

He can read 1/3 of a book each day

VARVARA [1.3K]3 years ago
8 0

Answer:

1/3 or 0.3333... of a book each day

Step-by-step explanation:

To find how many books Joseph can read in a day, we would take how many books he can read and the amount of days it would take.

4 / 12 = 0.3333...

To find the answer in fraction form, we would just reduce 4 / 12 by dividing the numerator and denominator by the GCF, 4.

4 / 4 = 1

12 / 4 = 3

4 / 12 = 1 / 3

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Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten express
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3 years ago
PLEASE HELP! A tank containing 35 gallons of water is leaking at a rate of 1/4 gallon per minute. Write an expression to determi
Alekssandra [29.7K]

Answer:

35 - m is the expression used to determine the number of gallons left in the tank after m minutes.

Step-by-step explanation:

Given:

  • Tank with 35 gallons of water is leaking at a rate of gallon per minute

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  • Let "m" represent the number of minutes spent
  • Number of gallons left in the tank = initial amount of water present – leaked amount of water
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4 0
3 years ago
Find a vector that is parallel to -9x+2y = 10. Please explain step by step
coldgirl [10]

Answer:


Step-by-step explanation:

Step One: Find the slope of the given Line

2y - 9x = 10                   Add 9x to both sides

2y - 9x + 9x = 9x + 10  Combine

2y = 9x + 10

y = 9/2 x + 5

The parallel line has a slope of 9/2

Step Two: Find the magnitude

sqrt(x^2 + y^2) = r                   You don't have a magnitude. Invent one, r

x^2 + y^2 = r^2                        Both sides have been squared

Step Three: Find the change in y / x

y / x = 9/2

Step Four: Find the value of y

y/x = 9/2                 Multiply both sides by x

y = 9/2 * x

Step Five: Solve for x

x^2 + y^2 = r^2

x^2 +(9/2x)^2 = r^2

x^2 + 81x^2 / 4 = r^2                Change the 1 to common denominator 1 = 4/4

4/4 x^2 + 81x^2/ 4 = r^2

85 x^2/ 4 = r^2                        Multiply both sides by 4/85

4/85 * (85 / 4) x^2 = 4/85 r^2  

x^2 = 4/85 r^2                         Take the square root of both sides

x = +/- 2/sqrt(85) r                   Rationalize the denominator  

x = (+/- 2 sqrt(85) ) / 85 *

Step Six: Solve for y

y = 9/2 x

y = 9/2 * 2 sqrt(85) / 85      Cancel the 2s

y = +/- 9* sqrt(85)/85

Answer

<2*sqrt(85)/85 ,  9 sqrt(85)/85>

You can write the minus answer if you need it. I kind of suspect you won't.

4 0
3 years ago
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