I’m trying to get points so I’m not answering this
Answer:if there are 7 HS students for every 2 MS students and there are 18 MS students...
18/2 = 9
9(7) = 63
So, there are 18 + 63 = 81 total students.
Since we had 9 parts last year also (1:8), 81/9 = 9 students are in each part. 8 students in each part are HS and one is MS.
8(9) = 72 HS students last year.
72 - 63 = 9 fewer HS students than last year.
Hope this helps!
Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2
Now, P'(x) = 0 ⇒ x = 12
Also,
P''(12) = -2 < 0
So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12
So, In short that numbers would be 12,12
Hope this helps!
Answer:
If the first number is x and y is the second number
x = 11
y = 18
Step-by-step explanation:
If x is the first number and y is the second number then:
x + 7 = y
The sum of the two numbers is expressed as:
x + y = 29
In order to find what the two numbers are, use what you know. According to the first equation, y equals the first number(x) plus 7, so you can substitute that for the y in the second equation
x + y = 29
x + (x + 7) = 29
2x + 7 = 29
2x + 7 - 7 = 29 - 7
2x/2 = 22/2
That means x equals 11
Now that x is known, you can find the value for y. The second number(y) is 7 more than than the first number(x) so that means x + 7 = y
11 + 7 = y
y = 18
If the lines are the same, the equations are dependent linear equations.
