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IgorC [24]
3 years ago
5

Solve the following​

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

Q1

|a-b| = b-a when a<b

Q2

104159/33000

Step-by-step explanation:

Q1

If a<b then a-b will always be negative.  To get the absolute value, we can take -(a-b) = -a+b = b-a.

Q2

Let x = 3.12789789789...

We isolate the repeating decimal to start after the decimal, so we multiply by 100.

100x = 312.789789789...

We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.

100000x = 312789.789789

Subtracting the two...

x(100000-100) = 312789.789789 - 312.789789

99900x = 312477

x = 312477/99000 = 104159/33000

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Given: Q = 7m 3n, R = 11 - 2m, S = n 5, and T = -m - 3n 8. Simplify R - S T. M - 2n - 2 -3m - 4n 14 3m - 4n 14 -m 2n - 2.
ziro4ka [17]

To solve the algebraic expression, add or subtract the variables with same power of variable.

The result of the given problem after simplifying is,

y=7m+n-6

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

To solve the algebraic expression, add or subtract the variables with same power of variable.

Given information-

The given numbers are,

Q=7m+3n\\R=11-2m\\S=n+5\\T=-3-3n

All the four number given in the form of unknown number m and n.

The result, need to be find is,

R-S+T+M

Let the result of above expression is y. Thus,

y=R-S+T+M

Put the values to solve it further,

y=(7m+3n)-(11-2m)+(n+5)+(-m-3n)

Solve it further by open the bracket as,

y=7m+3n-11+2m+n+5-m-3n\\y=7m+2m-m+3n+n-3n-11+5\\y=7m+n-6

Hence the result of the given problem after simplifying is,

y=7m+n-6

Learn more about the algebraic expression here;

brainly.com/question/2164351

3 0
2 years ago
NEED THESE ANSWERS FAST
vladimir2022 [97]

Answer:

1) m=2/9; y-intercept= 17/3

2) m=7 ; y-intercept= 22

3) m= -2/11 ; y-intercept= 100/11

4) m= 13/19 ; y-intercept= -53/13

Step by Step Explanation:

Use the slope formula to find the slope m.

6 0
3 years ago
Help Please! Answer ASAP!
Lilit [14]

Answer: Its C SAS

Step-by-step explanation:i know because i dont know

4 0
3 years ago
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The scores of 1000 students on a standardized test are normally distributed with a mean of 50 and a standard deviation of 5. wha
ra1l [238]
We are looking to find P(X>60 students)

X is normally distributed with mean 50 and standard deviation 5

We need to find the z-score of 60 students 
Z= \frac{60-50}{5}=2

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228

The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
3 0
4 years ago
Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
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When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.

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This means the ball will hit the ground 6 seconds after Amir threw it
6 0
3 years ago
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