Step-by-step explanation:
x = father's age now
y = son's age now
x = 2y + 10
x - 20 = 5(y - 20) = 5y - 100
using the first in the second equation :
2y + 10 - 20 = 5y - 100
-10 = 3y - 100
90 = 3y
y = 30
x = 2y + 10 = 2×30 + 10 = 60 + 10 = 70
the father is now 70 years old, the son now 30 years old.
Answer:
The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.
Step-by-step explanation:
Let's take as example a linear function of the form: y = kx.
Where, k is the constant of proportionality.
Therefore, the proportionality constant is the point: (x, kx)
Generically it is always the point: (x, k * f (x)
Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.
Answer:
about 55 quarts
Step-by-step explanation:
1.1 * 50
Answer:
She gives 16 ounces to her neighbor
Step-by-step explanation:
How much did you use to make sauce
6 * 3/4 = 18/4 =9/2 = 4.5 lbs
That leaves 6-4.5 = 1.5 lbs
She give 2/3 of this to her neighbor
1.5 * 2/3
Changing the decimal to a fraction
3/2 * 2/3 = 1
She gives 1 pound to her neighbor, but we want it in ounces
16 ounces equals 1 pound
She gives 16 ounces to her neighbor
Answer:
800. Here's why:
Step-by-step explanation:
This indicats that 440 students make up 55% of the 6th grade population. We can write this as
55/440.
We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as
100/x.
55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders
