Remember PEMDAS and order of operations? When solving linear equations, order matters as well. Why is this important? You’re going to tell us!

Create an equation in one variable with at least 4 operations.
Solve another student’s equation and write the steps used to solve their equation. Try to choose a student who you have not responded to before or who does not have any responses to their problem.
Explain why it is easier to undo operations in a certain order.


Example: 5 x − 4 = 3 x + 5(9 − 7)

Answer: The answer is y=-2x+3

Answer:B

Step-by-step explanation:

The step by step solution us given in attachment below.

Answer:

y = (-2/5)x - 2

Step-by-step explanation:

One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +:  5x - 2y = -6 becomes 2x + 5y = c.  Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.

Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.

Then -4 = -2 + D, so that D = -2.

The desired equation is thus y = (-2/5)x - 2.

Check:  Does this pass through (5, -4)?  Is -4 = (-2/5)(5) - 2 true?  Yes.

Is the slope -2/5 the negative reciprocal of 5/2?  Yes, it is.

Gotcha!

Since there is no variables listed, I'll solve it both ways. :-)

f(-18)=2/3(-18)-4

Multiply the fraction by negative 18!

f=-12-4

answer: f=-16

If it's this way then it goes like this:

f(-18)=2/3-4(-18)

f=2/3+72

f=218/3 or f=72.66666..... Rounded: 72.7

4c2 + 7c – 5 = 0   a=4   b=7   c=-5

x = [-b +-sq root (b^2 -4ac)] / 2a

x = [-7 +-sq root(7^2 -4*4*-5)] / 2*4

x = [-7 +-sq root(49 + 80)] / 8

x = [-7 +-5.5677643628] /8

x1 = 0.544727125

x2 = -2.294727125

The ratio of girls to boys in the karate team remained the same at 2:3, both before and after the new members joined.

Initially, there were 6 girls and 9 boys, creating a ratio of 6 girls to 9 boys, which simplifies to 2:3 when divided by the greatest common divisor, 3. After 2 more girls and 3 more boys joined, the team had 8 girls and 12 boys.

This new ratio also simplifies to 2:3, since both the numerator and denominator can be divided by 4. Therefore, the ratio of girls to boys did not change after the new members joined the team; it remained the same at 2 girls for every 3 boys.

Isosceles triangle means both base angles are the same. SO,

42+42= 84

a triangle has 180 degrees. 180-84=96

the vertex angle is 96 degrees

The base angles of an isosceles triangle are equal.

The vertex angle is: 96 degrees

The given parameters are:

[tex]Base = 42[/tex]

So, we have:

[tex]Vertex + Base + Base = 180[/tex] --- sum of angles in a triangle

Substitute known values

[tex]Vertex + 42+42 = 180[/tex]

[tex]Vertex + 84 = 180[/tex]

Collect like terms

[tex]Vertex = -84 + 180[/tex]

[tex]Vertex = 96[/tex]

Hence, the vertex angle is: 96 degrees

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Step-by-step explanation: To add like fractions or fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.

Let's try an example.

[tex]\frac{1}{13}[/tex] + [tex]\frac{5}{13}[/tex] = ?

In this example, if we add the numerators we have 1 + 5 which gives us 6 and we put this over our original denominator which is 13. Therefore, 1/13 + 5/13 .  gives us 6/13 which is in lowest terms.

I think a comparison sentence could be 45 is 5 times as many as 9.

the slope would be -2/3 hope this helps

What you would have to do for this problem is set up an equation for a year and equal them out. The equation would be 27+6x = 8.25x.

X = each visit to the movie.

Now all you have to do is solve the equation. Subtract 6x from 8.25x, and get 27=2.25x. Then, divide 2.25 from 27, and you would get your answer, which is 12. So, they would both have to see 12 movies to pay the same amount that year.

To check your work to see if you were right, you would plug in 12 as x, because that is the variable that represents the amount of visits to the movie. For Jaycie, the equation would be 27+6.00(12), and you would get 99, so she would pay $99 in total. For Claire, you would just do 8.25(12), which is also 99. That is how you know your answer is right.

Hope I helped, it would be greatly appreciated if you gave me brainliest if you understood what I explained :)

They'll need to see 12 movies together before they pay the same amount.

Let the number of movies be x

Based on the question given, the equation for Jaycie will be:

= 27 + (6 × x)

= 27 + 6x

The equation for Clarie will be:

= 8.25 × x

= 8.25x

Then, the equation to solve the question will be:

27 + 6x = 8.25x

Collect like terms

27 = 8.25x - 6x

2.25x = 27

x = 27/2.25

x = 12

They will see 12 movies together.

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Answer:  .65

Step-by-step explanation:

The decimal representation of the amount spent, which is ratio of amount spent and the total amount in wallet is 0.65

Amount spent = $13.00

Total amount in wallet = $20.00

Fraction spent = Amount spent / total amount

To express as a decimal;

Therefore, the fractional representation of the amount spent from total is 0.65.

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the ansewer is n = 14

Answer:

2

Step-by-step explanation:

A side of a triangle is less than the sum of the lengths of the other two sides and is greater than the positive difference of them.

third side is in between 1.2 and 2.6 but it has to be a whole number so its 2

A possible measure of the third side is 2m (to the nearest whole number)

Using the triangular theorem which states that the measure of the third side of the triangle is less than the sum of the other two sides.

Given the length of the other two sides as 1.9m and 0.7m

Taking the sum

Since the length of the third side must e less than the sum, hence the required answer must be less than 2.6m.

A possible measure of the third side is 2m (to the nearest whole number)

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Find x-intercept and y-intercept

x-intercept = 3 → (3, 0)

y-intercept = -6 → (0, -6)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\dfrac{-6-0}{0-3}=\dfrac{-6}{-3}=2[/tex]

Answer: 2

Complementary angles equal 90 degrees.

Since each corner of the rectangle equals 90 degrees, the answer needs the same letter in the middle of each angle.

The correct answer is D, because the letter A is the middle letter of each angle.

Answer:

A proportional relationship is a relation of the form:

Y = A*X

This means that if we have two variables, X and Y, for each unit that X grows, Y grows A times that.

And notice that the relation:

Y/A = X

is also a porportional relationship

This relationship can be expresed in a graph as a straight line that pases through the origin and has a constant unit of growht (in this case A) that is also called the "slope" of the line.

The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.

*(Answer)*= 0.89 is the constant is because no matter what you do you still have to multiply 0.89 to the x values

Answer:

A, B, E

Step-by-step explanation:

A) 13=9+m

m= 13-9

m=4 ✔️

B) 7-m =3

m= 7-3

m=4 ✔️

C) 15= 11m

15=11*4

15≠44

D) 5= m+2

If m=4 therefore

5≠4+2

5≠6

E) 20 divide m = 5

20/4 = 5

therefore, m=4 ✔️

By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.

In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.

Let's substitute m with 4 in each equation:

Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.

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Find out what number $350 is 8% of, since he makes 8% commission on sales.  In the percent formula:  a = pb

a is the part, p is the percent (as a decimal), b is the base  

350 is 8% of what number?  350 = 0.08b {substituted given values into percent formula and changed 8% to a decimal}

b = $4,375 {divided each side by 0.08}  

He needs to make at least $4375 worth of sales.

Jamahl number is greater

The answer is 65000 divided by 40/100, which equates to 26000.

Tl;DR the benifit is 26000

27*12= 324 pounds of turkey

0.2(6x+1)/3.6=0.5x/9

We move all terms to the left:

0.2(6x+1)/3.6-(0.5x/9)=0

We add all the numbers together, and all the variables

0.2(6x+1)/3.6-(+0.5x/9)=0

We get rid of parentheses

0.2(6x+1)/3.6-0.5x/9=0

We calculate fractions

There is no solution for this equation

You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.

answer:

y = 10 - x²

step-by-step explanation:

the y value is means the y value is equal to meaning the first part of our equation is y =

10 decreased means 10 minus so the next part of our equation is y = 10 -

the square of the x value means x squared so the last part of our equation is y = 10 - x²

The required expression is y =  10- x²

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given statement is ,

The y-value is ten decreased by the square of the x-value

So we have two variables x and y.

So square of x = x*x = x²

and, ten decreased by the square of the x-value = 10- x²

Hence we get y is 10- x²

So the expression is

y =  10- x²

Hence,the required expression is y = 10- x²

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Answer:

C

Step-by-step explanation:

Because they do not have similar multiples with each other so they repeat, while some others do so they are terminating.

hope that helps :)

Solve out the actual multiplication problem: 18 x 5 = 90

So you can see that the final answer is 9 tens.

hope that helps :)