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3 years ago

Evaluate and simplify the following complex fraction.

Mathematics

1 answer:

aniked [119]3 years ago

6 0

<h3>Answer: -22/7</h3>

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Explanation:

The fraction 6/(-7) is the same as -6/7

We have the two fraction -6/7 and 3/11 being divided

The denominators are 7 and 11 respectively.

The LCM of those two numbers is 77 since 7*11 = 77

If we multiply each of those fractions (-6/7 and 3/11) by 77, then we'll clear out those inner denominators to simplify this complex fraction into a nicer one.

77*(-6/7) = -66

77*(3/11) = 21

This means the original complex fraction becomes -66/21

We can further simplify this by dividing each part by the GCF 3

-66/3 = -22

21/3 = 7

Therefore, the final answer is -22/7

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The first and second terms of a linear sequence (A.p) are 3 and 8 respectively. Please determine the least Number of terms of Ap

Alla [95]

Answer:

To rewrite your question, you are looking for the smallest that fulfills the inequality:

∑=1>250

First, we must find the sequence in explicit form. We can think of it as a line we are trying to get the slope-intercept form of. We have the points (1, 3) and (2, 8). Therefore, the slope is 8−32−1=51=5 . Now we just need the y-intercept. We can find it through substitution:

=5+

In order to solve for , we can plug in one of the points that we were already given. I will choose the point (1, 3). Note that this point just means that when =1 , =3 .

3=5(1)+

3=5+

=−2

Now for the original question.

∑=1(5−2)>250

((5(1)−2)+(5()−2)2)>250

(5+12)>250

522+12>250

2+15>100

2+15+1100>100+1100

(+110)2>100+1100

(+110)2>10001100

+110>±10001100‾‾‾‾‾‾‾√

+110>±11010001‾‾‾‾‾‾√

>−110±11010001‾‾‾‾‾‾√

Since we are looking for the smallest value, we will subtract for the plus or minus sign.

>−110−11010001‾‾‾‾‾‾√≈−10

Since that is negative, we will have to add instead.

>−110+11010001‾‾‾‾‾‾√≈9.9

Therefore, the smallest integer that makes sense and satisfies the inequality is 10.

So, the first 10 numbers must be added.

Honestly, it would have been quicker just to brute-force this.

Step-by-step explanation:

Have a good day

8 0

3 years ago

The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.

a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55 Eqn 1

7x+10y = 64 Eqn 2

Multiplying equation 1 by 7

$7(10x+7y) = 7(55)\\70x+49y=385$

This will be equation 3.

Multiplying equation 2 by 10

$10(7x+10y) = 10(64)\\70x+100y=640$

This will be equation 4.

Subtracting equation 3 from equation 4

$70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}$

So,

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Keywords: Linear Equations, Solving system of linear equations

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

jose purchased a pair of shoes for $55 , new york has a sales tax of 6%. How much is the final price with tax ?

Slav-nsk [51]

Answer:

$58.30

Step-by-step explanation:

4 0

3 years ago

Which list is in order from least to greatest?

Bad White [126]

The 3rd one because when you find the absolute value of a number, it will always be positive. So the list would be 3.5, 4.2, 9

6 0

3 years ago

Read 2 more answers

I will give you brainliest <3

mamaluj [8]

Answer:

Triangle AEC can be proved congruent to triangle BED by St= 8x2 .

Step-by-step explanation:

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3 years ago