Answer:
x = 2
Step-by-step explanation:
Solve the two equations simultaneously....whereby you substitute y = 2x - 6 from the above equation into the second equation...
where...; 5x + 10(2x - 6) = -10
5x + 20x - 60 = -10...then move the variables with x to one side...
5x + 20x = -10 + 60
25x = 50
;Therefore...the value of x at intersection point = 2
If there are 1.5 times as many pairs of walking shoes as there are running shoes on display, then it is best to take each amount of running shoes and multiply it by 1.5, if doing that equals the amount of walking shoes, then it would be correct. Which in this case, would be D.
You times 0.02 with a hundred and that’s it
Answer:
Small gift: $2
Large gift: $7
Step-by-step explanation:
Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.
We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.
We can represent this information in an equation as:

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:
From equation (1), we will get:

Upon substituting this value in equation (2), we will get:










Therefore, cost to wrap a large gift is $7.
Upon substituting
in equation
, we will get:




Therefore, cost to wrap a small gift is $2.
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³