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3 years ago

Choose the correct simplification of m^7n^4/m^4n^3 m^11n^7 m^11n m^3n m^3/n^7

Mathematics

1 answer:

nika2105 [10]3 years ago

8 0

The simplification of given expression is: $m^3n$

Step-by-step explanation:

Given fraction is:

$\frac{m^7n^4}{m^4n^3}$

When the exponents with same base are in numerator and denominator, the exponents can be added or subtracted

As we prefer to keep the exponents positive, both the exponents in the denominator will be moved to numerator

$=m^{7-4}n^{4-3}\\= m^3n$

Hence,

The simplification of given expression is: $m^3n$

Keywords: Exponents, Fractions

Learn more about exponents at:

#LearnwithBrainly

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There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that th

kifflom [539]

Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

5 0

2 years ago

James works in a sporting goods store and earns $324 a week and 5% of his sales. One week James earned $432. What were his sales

Bogdan [553]

Answer:

His sales that week were $2,160.

Step-by-step explanation:

First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:

$432-$324=$108

Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:

5% → 108

100% → x

x=(100*108)/5=2160

According to this, the answer is that his sales that week were $2,160.

7 0

3 years ago

Solve the quadratic. 4x^2+4-20=0 brainlist if you explain

frez [133]

Answer:

x = -1/2(1 +√21) ≈ -2.79129
x = -1/2(1 -√21) ≈ 1.79129

Step-by-step explanation:

We assume the middle term is supposed to be 4x.

We can remove a common factor of 4 to simplify this a bit.

x^2 +x -5 = 0

This is of the form

ax^2 +bx +c = 0

where a=1, b=1, c=-5.

The quadratic formula gives the solutions as ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

Filling in the given coefficients, we have ...

x = (-1 ±√(1^2 -4·1·(-5)))/(2·1)

x = (-1±√21)/2

The solutions are x = -1/2(1 +√21) and -1/2(1 -√21).

_____

If what you wrote is what you intend, then the equation simplifies to 4x^2 -16 = 0.

Dividing by 4 and factoring the difference of squares gives ...

x^2 -4 = 0

(x -2)(x +2) = 0

These factors are zero (hence their product is 0) for the values x = 2 and x = -2.

The solutions are x=2 and x=-2.

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2 years ago

A trip to another city is 180 miles. In miles per hour to the nearest tenth, how fast does one have to drive to average 60 mph o

irakobra [83]

Answer:

63.5

Step-by-step explanation:

If one didn't take a 10 minute break he could drive 60 mph totalling 180 minutes but since he did and 180 - 10 = 170. He/she has to drive 180 miles in 170 min. so we take so we divde 180/170 and multiply by 60. If you round it to the nearest tenth you get 63.5

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2 years ago

Round fuis number 5,731 to the nearest 100

Reil [10]

5700 is 5731 rounded to the nearest hundred

8 0

3 years ago

Read 2 more answers