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Aleks [24]
3 years ago
10

A stack of books is 35 inches high. If each book is 1 3/4 inches thick, how many books are in the stack?

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

20 books

Step-by-step explanation:

Height of stack = 35 inches

Thickness of one book =1\frac{3}{4} =\frac{7}{4}\: in

No. of books

=  35 \div  \frac{7}{4}  \\  \\  = 35 \times  \frac{4}{7}  \\  \\  = 5 \times 4 \\  \\  = 20

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Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)
Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

x_1=-2\\y_1=5\\x_2=-1\\y_2=1

Now substitute into the formula

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1-5}{-1--2}
Simplify

m=\frac{1-5}{-1+2}

Subtract

m=\frac{-4}{1}

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0
2 years ago
The base of a statue of liberty is 154 feet tall.Is this number closer to 100 or 200?explain
mixer [17]
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8 0
3 years ago
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USPshnik [31]

Answer:

he can buy 30

Step-by-step explanation:

21.62 divided by .78 = 30.0277777778,you dont have enough for 31

6 0
3 years ago
A class must have fewer than 18 students due to the number of desks that can be placed in the classroom. Write an inequality tha
forsale [732]

Answer:

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Step-by-step explanation:

The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.

  <em>the number of students</em> is fewer than 18

translates to ...

  n < 18

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The wording "at least" translates to the math symbol "greater than or equal to."

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translates to ...

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8 0
2 years ago
The value of x is?<br> 84<br> 96<br> 132<br> 264<br> HELPPPP!!!!
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The 3 outside angles of a triangle need to equal 360 degrees.

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