The equation we'll use for this is:Total Gifts = Veronica's Gifts (v) + Natalie's Gifts (n).
12 = v + n
The problem says Veronica got 3 times as many gifts as Natalie.
You can directly translate this into an equation!
v = 3 * n = 3n. This means we can replace any v with 3n.
So, 12 = v + n = 3n + n = 4n
12 = 4n
3 = n. Natalie got 3 gifts.
We can now plug back in for Veronica's gifts:
v = 3n
v = 3(3)
v = 9. Veronica got 9 gifts.
Area of rectangular board = length (inches) x width (inches) = 12" x 16" = 192 in²
Area of the border is given as 128 in²
Adding the area of the board and the border gives (192 + 128)in² = 320 in²
Set this up as the algebraic equation (x + 12)(x + 16) = 320 and solve for x:
Remember to use the FOIL method, which is multiplying the terms in the order of first, outer, inner, last.
x² + 12x + 16x + 192 = 320
x² + 28x + 192 - 320 = 0
x² + 28x - 128 = 0
solve for the two x values:
(x + 32)(x - 4) = 0, and knowing we only need the positive x value
x = 4 or 4 inches is the width of the border
Answer:
X+190=7602
X=7412
Step-by-step explanation:
The odometer read 7412 miles at the beginning of the trip.
The answer is 73, simple math
Answer:
1/14 i think
Step-by-step explanation:
