Answer:
14 cm, 18 cm, 20 cm
Step-by-step explanation:
7x + 9x + 10x = 26x
equation: 26x = 52
divide each side by 26: x = 2
7 * 2 = 14
9 * 2 = 18
10 * 2 = 20
check if answer is right: 14 + 20 + 18 = 52
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Answer:(x,y)=(8,18)
Step-by-step explanation:
Given
5x-2y=4-------1
Second Equation
-2x+y=2-----2
Now multiply equation 2 by 2 and it to equation 1
5x-4x+0=8
x=8
substitute it in equation 1

36=2y
y=18
Therefore
(x,y)=(8,18)
Answer:
Alexander is incorrect because the expressions are not equivalent.
Step-by-step explanation:
If the expression is evaluated for any value of x, y; the result will not be same.
For instance, let assume x = 1 and y = 2
3x + 4y = 3 + 4 = 7
(3)(4) + xy = (3)(4) + (1 * 2) = 12 + 2 = 14
So, the expressions are not the same and Alexander is incorrect.
Answer:
Area = 960 cm^2
Step-by-step explanation:
Perimeter (P) = 2 (l + w)
P = 2l + 2w
Let the length be 5x
Let the width be 3x
From the question, P = 128.
Therefore:
128 = 2l + 2w
Divide both sides by 2.
l + w = 64
Recall we said:
l = 5x
w = 3x
So then:
5x + 3x = 64
8x = 64
Divide both sides by 8
x = 64/8
x = 8.
Since x = 8
Length = 5x = 5*8 = 40cm
Width =3x = 3 * 8 = 24cm
Area of a RECTANGLE:
Area = length * width
Area = 40 * 24
Area = 960 cm^2