Answer:
The two numbers are 18 and 42
Step-by-step explanation:
let the two numbers = x and y
Their sum: x + y = 60 ------ (1)
Also, dividing the larger by the smaller (partition = 2 and remainder = 6).
Let the larger number = y
Substitute the value of y into equation (1)
x + (2x + 6) = 60
x + 2x + 6 = 60
3x + 6 = 60
3x = 60 - 6
3x = 54
x = 54 / 3
x = 18
y = 2x + 6
y = 2(18) + 6
y = 36 + 6
y = 42
The two numbers are 18 and 42
The answer to the problem is 5.
Answer:
y = 2.4
Step-by-step explanation:
If y varies inversely as x, it means there's an inverse relationship between y and x, that is if x is increasing, y is decreasing and vice versa. In such instance, we have to find the constant of proportionality "k"
Hence,
y~1/x
y=k/x
When y =-6 and x =-2, we insert these values to find the value of the constant "k"
-6 = k/-2
k = 12.
Using this value of k to determine value of y when x =5 becomes:
y = 12/5
y = 2.4
<h3>
Answer: 2</h3>
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Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
Answer:
number 1. 5/4 number 2. 7/4 number 3. 1/5
Step-by-step explanation It's the shaped parts. Hope this helps : )
