From the equation, it looks like we can set up a triangle like this. One side is x and the other is x + 20 because the northbound car traveled 20 miles farther. The hypotenuse is 100 because they were 100 miles apart.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
Answer:
2,179
Step-by-step explanation:
Uma pessoa fez uma compra no valor de 104.592,00 pagou esse valor em 48 parcelas mensais sem juros qual seria o valor de cada parcela?
O valor de cada parcela é calculado como:
Quantidade / número de parcelas mensais
= 104.592,00 / 48
= 2.179
Portanto, o valor da Parcela Mensal é 2.179
We divide the total set into several sub-sets (subgroups) that contain the exact same number of members. This way we know the number of total members by adding the number of total subsets.
6.75 because 6 is the whole number so it won't change and if you do 3 divided by 4 you get .75
Answer:
24 Balloons for Felicity
25 balloons for Grumpy
Step-by-step explanation:
Graph y = 2/5x
Graph y = 5/12x
Graph x = 60
Find intersects
(60,24)
(60,25)