Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
Answer:
a on edge
Step-by-step explanation:
Answer:
- large: 18.5 kg
- small: 15.75 kg
Step-by-step explanation:
Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...
5b +6s = 187
3b +2s = 87
We can eliminate the "s" variable by subtracting the first equation from 3 times the second:
3(3b +2s) -(5b +6s) = 3(87) -(187)
4b = 74 . . . . . collect terms
b = 18.5 . . . . . divide by 4
Using this value in the second equation, we find ...
3(18.5) +2s = 87
2s = 31.5 . . . . . . . . subtract 55.5
s = 15.75 . . . . . . . . divide by 2
The large box weighs 18.5 kg; the small box weighs 15.75 kg.
19 has 2 factors (1,19)
21 has 4 factors (1,3,7,21)
23 has 2 factors (1,23)
25 has 3 factors (1,5,25)
you need the nearest number 25 that has 5 factors or more :28(1,2,4,7,14,28)
Answer:
y=(1/5)x-5
Step-by-step explanation:
The given equation is
y=(1/5)x+4
This is of the form
y=mx+b
which is called the slope-intercept form because
m is the slope
b is the y intercept.
In this case,
m=1/5
b=4
you can see from the chart that this matches the red line.
If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that
y=(1/5)x+b
Since the line must go through the point (5,-4), we have
-4=(1/5)(5)+b
-4=1+b
b=-5
So, the desired line is
y=(1/5)x-5
