Answer: packages of buns: 100
packages of patties: 67
jars of pickles: 133
(100,67,133)
Step-by-step explanation: packages of buns: B
packages of patties: P
jars of pickles: J
B:P:J = 3:2:4
B + P + J = 300
Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.
Bx + Px + Jx = 300
3x + 2x + 4x = 300
x = 300/9
So,
3.300/9 = 100
2.300/9 = 66.6666
4.300/9 = 133.333
As we cannot buy 0.666 or 0.33 of patties and pickles, we round up
So: packages of buns: 100
packages of patties: 67
jars of pickles: 133
Answer: There are 20 boys
Step-by-step explanation:
He uses 5/8 tanks of gas in one week.
In 5 he will use, 5/8 *5 = 25/8 in 5 weeks
This can be simplified too:
3.125 tanks of gas
The answer is, 25/8 tanks of gas or 3.125 tanks of gas
parallel means "same slope (m)"
m =
= ![\frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B0%20-%205%7D%7B-3%20-%20%28-6%29%7D%20%3D%20%5Cfrac%7B-5%7D%7B-3%20%2B%206%7D%20%3D%20%5Cfrac%7B-5%7D%7B3%7D)
Now, input the point (0, 0) and the slope
into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 0 =
(x - 0)
y = ![\frac{-5}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B-5%7D%7B3%7Dx)
3y = -5x <em>multiplied both sides by 3</em>
0 = -5x - 3y <em>subtracted 3y from both sides</em>
Answer: C