Answer:
let the price of a pen be x
9 pens cost 7.20, so 9x costs 7.20. Therefore,
9x = 7.20
x = 0.8
Each pen is 0.8 dollars (80 cents).
Answer=$769.50
95 x
_____=_____
20 162
cross multiply
20x=15390
divide both sides by 20
x=$769.50
Hello! To solve this problem, we can write out and solve a proportion. Set it up like this: 6/3 = x/15. We’re looking for the height of the pine tree, but we know the length of the shadows, so they line up with one another and “x” goes at the top. Let’s cross multiply the values to get 90 = 3x. Now, divide each side by 3 to isolate the “x”. 90/3 is 3. x = 30. The pine tree is 30 feet tall.
3x²+5x+2
the factor of 3 is 1 and 3, the factors of 2 is 1 and 2.
line them up this way:
1 1
3 2
multiply them diagonally and add up the products: 1*2+1*3=5, exactly what we need for 5x, so the factored form is (x+1)(3x+2)
