What is the solution to the equation |10-5y| =20

a) y=2
b) y=4
c) y=6
d) y=10

The correct answer is option c) y = 6

Step-by-step explanation:

It is given that|10-5y| =20

Check each option

a) y = 2

|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20

b) y = 4

|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20

c) y = 6

|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20

d) y = 10

|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40|  ≠ 20

From the above result we get the correct answer is option c) y = 6

The correct answer option is a) y =2.

Step-by-step explanation:

We are given the following equation and we are to find its solution:

Since the expression is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.

Ignoring the negative sign because of mod.

y = 2

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet