Can you guys please check my answers?

Evaluate x/y for x = 2/3 and y =6/7
1. 7/9
2. 8/10***
3. 9/12
4. 12/21


Simplify the expression (3/7^2)
1. 3/7
2. 6/14
3. 9/49***
4. 5/9

What is the simplified form of the expression 7[63 ÷ (52 – 22) – 1]?
1. 10
2. 42
3. 14***
4. 350

Which is a solution of the equation y = 5x + 3?
1. (5, 28)***
2. (28/5)
3. (4, 20)
4. (3, 19)


Solve the equation.

3m – 4 = 26
1. m=30
2. m=22/3
3. m=3***
4. m=17

For the first question: Evaluate x/y for x = 2/3 and y = 6/7.

To evaluate x/y, we need to divide x by y.
x/y = (2/3) / (6/7)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
x/y = (2/3) * (7/6)

Simplify the expression by canceling out common factors:
x/y = (2 * 7) / (3 * 6)
= 14/18

The simplified form of x/y is 7/9.

So, the correct answer is 1. 7/9.

For the second question: Simplify the expression (3/7^2).

To simplify the expression, we need to evaluate 7^2 first.
7^2 means 7 raised to the power of 2, which is equal to 49.

Now, substitute 7^2 in the expression:
(3/7^2) = 3/49

The simplified form of the expression is 3/49.

So, the correct answer is 3. 3/49.

For the third question: What is the simplified form of the expression 7[63 ÷ (52 – 22) – 1]?

To simplify the expression, we need to follow the order of operations, which is parentheses first.

Evaluate the expression inside the parentheses: 52 - 22 = 30.

Now, substitute the value inside the brackets:
7[63/30 - 1]

Simplify the expression inside the brackets:
63/30 - 1 = 21/10 - 1

To subtract fractions, we need to have a common denominator. The common denominator is 10.
21/10 - 1 = 21/10 - 10/10 = (21 - 10)/10 = 11/10.

Substitute the simplified expression back into the main expression:
7(11/10) = 77/10

So, the simplified form of the expression is 77/10.

The correct answer is 4. 77/10.

For the fourth question: Which is a solution of the equation y = 5x + 3?

In an equation, to find a solution, we substitute the given values for x and y.

Substitute the values from the options and see which one satisfies the equation:

Option 1: (x, y) = (5, 28)
Substitute: 28 = 5(5) + 3
Evalute: 28 = 25 + 3
This is not true, so option 1 is not a solution.

Option 2: (x, y) = (28/5)
This option is missing a value for y. It cannot be considered a solution.

Option 3: (x, y) = (4, 20)
Substitute: 20 = 5(4) + 3
Evaluate: 20 = 20 + 3
This is not true, so option 3 is not a solution.

Option 4: (x, y) = (3, 19)
Substitute: 19 = 5(3) + 3
Evaluate: 19 = 15 + 3
This is true.

So, the correct answer is 4. (3, 19).

For the fifth question: Solve the equation 3m – 4 = 26.

To solve the equation, isolate the variable m.

Add 4 to both sides of the equation:
3m - 4 + 4 = 26 + 4
3m = 30

Now, divide both sides of the equation by 3:
3m/3 = 30/3
m = 10

So, the solution to the equation is m = 10.

The correct answer is 1. m = 10.

Sure, I can help you check your answers and explain how to get the correct answer for each question.

1. Evaluate x/y for x = 2/3 and y = 6/7
To evaluate x/y, we can simply divide the value of x by the value of y.
So, x/y = (2/3) / (6/7)
To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction.
Thus, x/y = (2/3) * (7/6) = (2 * 7) / (3 * 6) = 14/18
Simplifying further, 14/18 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 2.
Therefore, x/y = 7/9.
Based on your provided options, none of them matches the correct answer. The correct answer is 7/9.

2. Simplify the expression (3/7^2)
In this expression, ^2 means squaring the value of 7.
So, (3/7^2) = 3/(7*7) = 3/49.
According to your options, the correct answer is 3/49.

3. Simplify the expression 7[63 ÷ (52 – 22) – 1]
Firstly, we simplify the expression within brackets.
52 - 22 = 30
Then, we calculate the division:
63 / 30 = 2.1
Now substitute the value back into the original expression:
7 * (2.1 - 1) = 7 * 1.1 = 7.7
However, none of your options matches the correct answer. The simplified form of the expression is 7.7.

4. Which is a solution of the equation y = 5x + 3?
To check if a given point is a solution for an equation, we substitute the values of x and y into the equation and see if the equation holds true.
Let's check the options:
1. y = 5(5) + 3 = 28.
So, (5, 28) is indeed a solution to the equation y = 5x + 3.
Therefore, based on your provided options, (5, 28) is the correct answer.

5. Solve the equation 3m – 4 = 26
We want to find the value of m that makes the equation true.
To solve it, we isolate the variable m.
First, we add 4 to both sides of the equation to get rid of the -4:
3m - 4 + 4 = 26 + 4
3m = 30
Next, we divide both sides of the equation by 3 to solve for m:
3m/3 = 30/3
m = 10
So, m = 10 is the solution to the equation.
Based on your provided options, none of them matches the correct answer. The correct answer is m = 10.

most of them are wrong. ON

7[63 ÷ (52 – 22) – 1] and
(3/7^2) your use of () is not what any answer is..that is 3/49