The value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
<h3>How to determine the dimensions?</h3>
The given parameters are:
Base = 5(x+3)
Height = 2(x+9)
Perimeter = 108
The perimeter of a rectangle is
P = 2 *(Base + Height)
So, we have:
2 *(5(x + 3) + 2(x + 9)) = 108
Divide both sides by 2
5(x + 3) + 2(x + 9) = 54
Open the brackets
5x + 15 + 2x + 18 = 54
Evaluate the like terms
7x = 21
Divide by 7
x = 3
Substitute x = 3 in Base = 5(x+3) and Height = 2(x+9)
Base = 5(3+3) = 30
Height = 2(3+9) = 24
Hence, the value of x is 3, while the length of the rectangle is 30 units and the width is 24 units.
Read more about perimeter at:
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For this one I'm going to assume that 4 7a means 4 * 7a...
(8 + 7a) + 4 * 7a =
8 + 7a + 28a =
8 + 35a
If I read it wrong and 4 7a is actually 47a then...
(8 + 7a) + 47a =
8 + 54a =
2(4 + 27a)
Answer:
x=3
Step-by-step explanation:
the sides MJ and MK should be equal so 12x-24 = 4x
if you isolate x you get 3
The data set which contains an outlier from the given answer choices is; Choice D; {16, 42, 45, 45, 46, 48}.
<h3>What is an outlier?</h3>
An outlier in a set of data values is a data value which differs significantly from other data points and hence, tends to affect the mean of such set of data values significantly.
On this note, choice D is the set of data values which contains an outlier.
Read more on outliers;
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Answer:
Order summands
2
Subtract
5
.
1
5.1
5.1
from both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Step-by-step explanation:
