Answer:
x = 4
Step-by-step explanation:
DE / XY = EF / YZ
5 / 10 = 2x-1 / 14
cross-multiply:
10(2x-1) = 14(5)
20x - 10 = 70
20x = 80
x = 4
Answer:
b. 1:3
Step-by-step explanation:
To find the hypotenuse of the first triangle, use a^2 + b^2 = c^2
c = sqrt (5^2 + 12^2)
c = 13
From here, since they are similar, you can set up a proportion
13:39
1:3
Answer:
h(t) = 1.5t²/2 + 4t +12
Step-by-step explanation:
The growth rate is given by
dh/dt = 1.5t + 4
To determine the height of the seedlings we integrate the rate with respect to t.
The integral of dh/dt = integral of 1.5t + integral of 4
The integral of dh/dt = h
The integral of dh/dt = 1.5t²/2 + 4t
So at t = 0
h = 12
That makes the equation
h = 1.5t²/2 + 4t +12
Where 12 is the constant
So h(t) = 1.5t²/2 + 4t +12
Will give us the height after t years
What you do is you make it into a fraction. You got 60 out of 110, so that's 60<u />/110. Because all fractions are practically division problems, that's 60 ÷ 110 = 0.5454545454...
Times that by 100 to get the percentage.
Given:
You and your friend each purchase an equal number n of magazines.
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Total cost = $10.50
To find:
The equation to find number of magazines you purchased.
Solution:
Your magazines cost = $1.50 each
Your friend's magazines cost = $2 each
Number of magazines purchased by you and your friend = n
Total cost = 
It is given that total cost is $10.50.
Divide both sides by 3.50.
Therefore, required equation is and the number of magazines purchased by you is 3.
