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

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2