Two cans of soup and three bags of chips cost $10.30. Four cans of soup and two bags of chips cost $14.20. What is the cost for each item sold separately?

A can of soup costs $2.75, while a bag of chips costs $1.6

Step-by-step explanation: We shall start by first assigning letters to the unknown variables. Let each can of soup be represented by c, and let each bag of chips be represented by b.

If two cans of soup and three bags of chips cost $10.30, then we can write this out as,

2c + 3b = 10.30

Also, if four cans of soup and two bags of chips cost $14.20, we can write this too as,

4c + 2b = 14.20

What we now have is a pair of simultaneous equations

2c + 3b = 10.30 (1)

4c + 2b = 14.20 (2)

None of the variables has a coefficient of 1, hence we shall use the elimination method

Multiply equation (1) by 4 and multiply equation (2) by 2.

We now have,

8c + 12b = 41.20 (3)

8c + 4b = 28.40 (4)

Subtract equation (4) from equation (3)

8b = 12.80

Divide both sides of the equation by 8

b = 1.60

Having computed the value of b, we can now substitute for the value of b into equation (1)

2c + 3(1.60) = 10.30

2c + 4.80 = 10.30

Subtract 4.80 from both sides of the equation

2c = 5.50

Divide both sides of the equation by 2

c = 2.75

Therefore a bag of chips is $1.60, a can of soup is $2.75

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720