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expeople1 [14]
3 years ago
10

Malcolm is given a plan for a garden. He expresses the perimeter as 2(x+8) + 2(3x). WHAT WILL BE THE COEFFICIENT OF X WHEN HE SI

MPLIFIES THE EXPRESSION?
Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

The coefficient of x is 8

Step-by-step explanation:

Given

P = 2(x+8) + 2(3x) --- Perimeter

Required

Determine the coefficient of x

P = 2(x+8) + 2(3x)

Open bracket

P = 2x + 16 + 6x

Collect like terms

P = 2x + 6x+ 16

P = 8x+ 16

<em>The coefficient of x is 8</em>

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Sales increased 50% last year, from $5,000 to $10,000. When sales dropped from $10,000 to $5,000 this year, sales decreased 50%

5 0
3 years ago
Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

3 0
3 years ago
Rodney bought a 25-pound bag of dog food.His dog at 10 2/5 pounds of food in the first month and 10 4/5 pounds of the food in th
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10 4/5+ 10 2/5= 20 1/5 
25- 20 1/5 = 4 4/5 pounds of dog food is left.
7 0
3 years ago
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Which expression is equivalent to (4 + 7i)(3 + 4i)?
ANTONII [103]

Answer:

the answer is -16+37i

Step-by-step explanation:

4 0
3 years ago
Find the greatest common factor of the terms in the following expression: 8m + 18mn.
icang [17]

Answer:

2m

Step-by-step explanation:

GCF of 8 and 18 is 2 and m is the only variable in both parts of the equation.

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