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Elan Coil [88]
3 years ago
13

How many 1 3/5-inch-thick books can fit on a 14 1/2-inch-long bookshelf?

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
7 0

Answer: They can fit 9 thick books into the bookshelf

Step-by-step explanation: So I like putting fractions into decimals.

1 3/5 = 1.6 and 14 1/2 = 14.5

I got .6 because 1/5 is 20%, 2/5 is 40%, (3/5 is 60%), and it keeps going.

Now that we have that all we have to do is 14.5 divided by 1.6

14.5 divided by 1.6 = 9.06

Hope this helps!

bazaltina [42]3 years ago
3 0

Answer:

9  1/16 or about 9 books

Step-by-step explanation:

divide 14.5 by 1.6 to get 9.0625 or 9 books will fit!

14.5÷1.6=9.625    9.625= about 9

Hope that was helpful.Thank you!!!

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The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e
MaRussiya [10]

Answer:

y=-\frac{1}{4}x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope of line S using line R (m)</u>

y=-\frac{1}{4} x+3

We can identify clearly that the slope of the line is -\frac{1}{4}, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be -\frac{1}{4}. Plug this into y=mx+b:

y=-\frac{1}{4}x+b

<u>2) Determine the y-intercept of line S (b)</u>

y=-\frac{1}{4}x+b

Plug in the given point (-4,3) and solve for b

3=-\frac{1}{4}(-4)+b\\3=1+b

Subtract 1 from both sides to isolate b

3-1=1+b-1\\2=b

Therefore, the y-intercept is 2. Plug this back into y=-\frac{1}{4}x+b:

y=-\frac{1}{4}x+2

I hope this helps!

6 0
2 years ago
Solve 4e^2x-3=12 please help
Anestetic [448]

4*e^{2x} -3 = 12

Step 1:

Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.

4*e^{2x} = 12+3

4*e^{2x} = 15

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

e^{2x} = 15/4

e^{2x} = 3.75

Step 3:

taking log on both sides

ln ( e^{2x}) = ln(3.75)

{2x} =ln 3.75

Step 4:

Dividing right side by 2,

x= ln (3.75) /2 = 0.66088

Answer : x = 0.66088..


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In the diagram, angle LH is parallel angle JK. Find measure H
mario62 [17]

Step-by-step explanation:

for triangle HLM

180-2x

180-(3x+6)

H

2x=3x-10

x=10°

180-36=144°

36-20=16°

H=2x

H= 180-144-16= 20°

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Answer:

Step-by-step explanation:

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