The equivalent expression for 7x + 2x + 6y is 9x + 6y. We get this by combining the like terms 7x and 2x.
The expression 7x + 2x + 6y can be simplified by combining like terms. 'Like terms' are terms that have the same variables and powers. The terms 7x and 2x are like terms because they both have the variable x.
When you combine 7x and 2x, you add the coefficients (numerical parts) together. So, 7x + 2x equals 9x. Therefore the equivalent expression for 7x + 2x + 6y is 9x + 6y.
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Answer
Find out the amounts of the three parts of investments .
To proof
let us assume that first part of investment be = u
let us assume that second part of investment be = v
let us assume that third part of investment be = w
As given
An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.
than the equation is written in the form
u + v + w = 27000
.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.
8% is written in the decimal form
= 0.08
6% is written in the decimal form
= 0.06
9% is written in the decimal form
= 0.09
than the equation in the form
0.08u +0.06v +0.09w = 2130
equation written in the simple form
8u +6v +9w =213000
As given
the first investment was three times the interest from the second
u = 3v
Than the three equation in the form
u + v + w = 27000 , 8u +6v +9w =213000 , u = 3v
put this u = 3v in the equation u + v + w = 27000 , 8u +6v +9w =213000
than the equation
30v +9w + 213000
4v +w = 27000
multiply the 4v +w = 27000 by 9 and subtracted with 30v +9w + 213000
36v-30v +9w-9w =243000- 213000
6v = 30000
v =$5000
put this in the equation
u =3v
u = 3× 5000
u= $15000
put the value u , v in the equation u + v + w = 27000
5000 + 15000 +w = 27000
w = $7000
than the three part be $5000, $15000,$7000
Hence proved
Answer: S=28
Step-by-step explanation:
Answer:
None of the numbers are divisible by three, therefore there could never be a multiple of three. Mary is correct
Also I have that same rug XD