MATHEMATICS MIDDLE SCHOOL

Look at the picture and plzz help me and also pick from the boxed sentences

Answers

Answer 1

Answer:

Hello!

The answers are:

3. Addition property of equality

4. $6x-7+7=12+7$ - Simplification

7. $x=(19)/(6)$

Why?

To solve the problem, we need to start with the result of the second step:

$6x-7=12$

So,

For the step 3:

Then, for the 3rd step, we have to apply the addition property of equality.

The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.

Then, applying the property, we have:

$6x-7=12$

Adding 7 to both sides, we have:

$6x-7+7=12+7$

For the step 4:

Now, for the 4th step, we have to simplify the expression:

$6x-7+7=12+7$

Then, simplifying, we have:

$6x=19$

For the step 7:

Simplificating, we divide each side of the equality by 6:

$(6x)/(6)=(19)/(6) \n\nx=(19)/(6)$

Have a nice day!

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98-49 use rounding or compatible numbers to estimate the difference

Answers

Well you round 98 to 100 and 49 to 50. So 100-50=50.

Well you round 98 to 100 and 49 to 50. So 100-50=50

1/4hour 1/2hour 3/4 what is the total amount of time

Answers

1/4+1/2=1/4+1/2=3/4

1/2=2/4

3/4 is the answer

What is the area of the figure?

Answers

Divide the shape to two different shapes
We get a trapezium/trapezoid
And a triangle

Formula of the area of a trapezium:
$(1)/(2)$ × height × (base₁ + base₂)
$(1)/(2)$ × 5 × (14 + 18)
*(height is 5, because 17 - 12 = 5)
2.5 × 32
80 mm²

Formula of the area of a triangle:
$(1)/(2)$ × base × height
$(1)/(2)$ × 18 × 12
48 mm²

Total Area:
Area of trapezium + Area of triangle
80 + 48
128 mm²

If c=16 and B=67 degrees, find a

Answers

Answer:

Step-by-step explanation:

No explanation required

From your rules from SOHCAHTOA, you can solve for a using the cosine of B. See picture attached.

What is another way to express 3/5 1) 0.2

2) 0.3

3) 0.5

4) 0.6

Answers

You would divide 3 by 5. You would get 0.6.6 is your answer.

the ratio of boys to girl in Mr. Claytons class is 2:3. If there are 30 total students how many more girls are in the class than boys

Answers

Number of girls :
30*3/5=18

Number of boys :
30*2/5=12

18-12=6

6 more girls than boys.

Well, if there are two boys for every three girls then we multiply 30 by 3.

30×5=90.

Next, we divide 90 by 5.

90÷5=18.

Then we subtract 18 from 30.

30-18=12.

That means we have 12 boys and 18 girls.

Finally, we subtract 18 from 12.

18-12=6.

There are 6 more boys than girls.

Have a nice day! :)

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