ANSWER
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Ratio of 8th graders to 7th graders = 3 : 2
Let the number of graders be 3x and 2x
Number of 8th graders = 18
So , 3x = 18
x = 18/3 = 6
Number of 7th graders = 2 × 6 = 12
Ratio of 6th graders to 7th graders = 5 : 4
Let the number of graders be 5a and 4a
Number of 7th graders = 12
So , 4a = 12
a = 12/4 = 3
Number of 6th graders = 5×3 = 15 ANS
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#BE BRAINLY
Find the value of -6(-2)^2 - 4^2 - 3(-2x^4).
-6(-2)^2 - 4^2 - 3(-2x^4)
Multiply -6(-2)^2.
12^2 - 4^2 - 3(-2x^4)
Subtract 12^2 and -4^2.
8 - 3(-2x^4)
Distribute -3(-2x^4).
8 + 6x^4
Therefore the value of 6(-2)^2 - 4^2 - 3(-2x^4) is 8 + 6x^4.
Answer:
The triangles are congruent
Step-by-step explanation:
The Triangles are congruent because they have the same side lengths and and angle measures.
We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

Replacing in the formula for the area we get:

Now we use the distributive law: