MATHEMATICS COLLEGE

Consider the following system of equations:Equation 1: 82 + 2y = 30
Equation 2: 70 + 2y = 24
Which variable pair should we try to eliminate?
The x's because the coefficients are the same.
The y's because the coefficients are the same.
The x's because the coefficients are different?
The y's because the coefficients are different?

Answers

Answer 1

Answer:

The correct answer is: "The y's because the coefficients are the same."

Further explanation:

we always try to eliminate the variable from the system of equations which involves lesser calculations and complexity.

Assuming that Given equations are:

Equation 1: 82x + 2y = 30

Equation 2: 70x + 2y = 24

we can see that the coefficients of x are very large and different. While the coefficients of y are same. We can only subtract the equations to eliminate y.

Hence,

The correct answer is: "The y's because the coefficients are the same."

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

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Convert 2 2/3 into an improper fraction

Answers

Answer: 8/3

Step-by-step explanation:

A three-digit number has two properties. The tens-digit and the ones-digit add up to 5. If the number is written with the digits in the reverse order, and then subtracted from the original number, the result is 792. Use a system of equations to nd all of the three-digit numbers with these properties

Answers

Answer:

The three-digit numbers with these properties are 850 or 941.

Step-by-step explanation:

Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that $y+z=5$ . The second condition is:

the original number is $(100x+10y+z)$ while the reversed number is $(100z+10y+x)$ so

$(100x+10y+z)-(100z+10y+x)=792\n99x-99z=792$

Now we have the system

$y+z=5\n 99x-99z=792$

You can divide by 99 to simplify the second equation.

$y+z=5\n x-z=8$

Note that x, y, z must be digits between 0 and 9 and $x\neq 0$ . If $z>1$ , then the second equation forces $x>9$ , for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.

Jay simplify the expression 3x( 3+12÷3)-4 over his first step he added 3+12 to get 15 what was jays error? Find the correct answer

Answers

Hello there!

To simplify this expression, you must follow PEMDAS.

3x(3+12÷3) parentheses first
3x(3+4) do the division
3x(7) addition inside of parentheses
21x multiplication

This means that Jay is incorrect in doing addition first.

I really hope this helps!
Best wishes :)

distribute 3x through all the numbers in () then solve for x and you get 21x-4

How do you calculate the approximate mean monthly salary of 100 graduatesmonthly salary number of graduate

1001-1400 1
1401-1800 11
1801-2200 14
2201-2600 38
2601 3000 36.

Answers

Answer:

The mean monthly salary of these 100 graduates is $2388.5

Step-by-step explanation:

First, lets make all of the salaries a set, so:

S = {S1,S2,S3,S4,S5}

where

S1 = {1001-1400}

S2 = {1401-1800}

S3 = {1801-2200}

S4 = {2201-2600}

S5 = {2601-3000}

Each element S1,S2,..,S5 will have it's own mean, that will be the upper range + lower range divided by 2.

M(S1) = (1400+1001)/2 = 2401/2 = 1200.5

M(S2) = (1401+1800)/2 = 3201/2 = 1600.5

M(S3) = (1801+2200)/2 = 4001/2 = 2000.5

M(S4) = (2201+2600)/2 = 4801/2 = 2400.5

M(S5) = (2601+3000)/2 = 5601/2 = 2800.5

To find the approximate mean, now we calculate a weigthed mean between M(S1),M(S2),...,M(S5)

So the mean will be

M = (M(S1)+11*M(S2)+14*M(S3)+38*M(S4)+36*M(S5))/100

M = 238850/100

M = 2388.5

So the mean monthly salary of these 100 graduates is $2388.5

7n+4n combine the like terms to create an equivalent expression

Answers

Answer:

11n

Step-by-step explanation:

7n+4n (factorize out n)

= n (7 + 4)

= n (11)

= 11n

Answer:

11n

Step-by-step explanation:

Combining like terms just means adding together the numbers with the same variable. 7n and 4n both have an n attached, so you would add like normal to get 7n + 4n = 11n.

Consider a binomial experiment with n = 20 and p = .70. If you calculate the binomial probabilities manually, make sure to carry at least 4 decimal digits in your calculations.

a) Compute f(12) (to 4 decimals).
b) Compute f(16) (to 4 decimals).
c) Compute P(x 16) (to 4 decimals).
d) Compute P(x 15) (to 4 decimals).
e) Compute E(x). 14
f) Compute Var(x) (to 1 decimal) and (to 2 decimals).
Var(x)
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