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Keith_Richards [23]
3 years ago
14

What is the simplified form of the quantity x over 3 plus y over 4 all over the quantity x over 4 minus y over 3? the quantity 4

x plus 3y all over the quantity 3x minus 4y the quantity 4x minus 3y all over the quantity 3x plus 4y the quantity 3x plus 4y all over the quantity 4x minus 3y the quantity 3x minus 4y all over the quantity 4x plus 3y
Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer:

Option A) \frac{4x+3y}{3x-4y}

Step-by-step explanation:

The given expression is:

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

Taking LCM in upper and lower fractions, we get:

\frac{\frac{x}{3}+\frac{y}{4}}{\frac{x}{4}-\frac{y}{3}}\\\\ =\frac{\frac{4x+3y}{12}}{\frac{3x-4y}{12}}\\\\\text{Cancelling out the common factor 12, we get:}\\\\ =\frac{4x+3y}{3x-4y}

Therefore, the option A gives the correct answer.

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A microscope can magnify the object it is looking at 10×4 times. How many times is that? (MCC.8.EE.3) A. 40,000 times B. 40 time
damaskus [11]

Answer:

10×4 = 40

10^4 = 10,000

Step-by-step explanation:

10^4 is another way to write 10⁴ = 10·10·10·10 = 10,000.

Essentially, the exponent tells you how many places to the right of the leading digit the decimal point lies (here, the number of zeros in the number).

_____

<em>Comment on the answer choice</em>

The appropriate answer depends on what you mean by your problem statement. Some microscopes magnify 40 times; others magnify 10,000 times, so we cannot tell the appropriate answer using our knowledge of microscopes.

3 0
3 years ago
A tree that is 4 ft tall is growing at a rate of 1 ft each year a tree that is 12 feet tall is growing at a rate of 1/2 ft each
Andreyy89

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

          4= the initial height

          x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height

5 0
3 years ago
What is 26 divided by 503?
Hatshy [7]

Answer:0.05168986083

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487kg. Write an expo
Lubov Fominskaja [6]

Answer:

442.302 kg

Step-by-step explanation:

amount = 487 (1/2)^(t/36) where t is the number of days.

if t = 5

amount = 487(.5)^(5/36)

= 442.302 kg

4 0
2 years ago
Plsss HELP ANYONE PLSSS !
Talja [164]

Answer:

can be fourth one cause it starts at 2 on y axis. ( fourth option)

Step-by-step explanation:

can't be the first one cause it starts at origin

can't be second one cause it starts at -2 on x axis

can't be third on cause it starts on 2 on x axis

can't be fifth cause it starts on -2 on y axis.

3 0
3 years ago
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