Answer:
x = 8.5
Step-by-step explanation:
I got this answer by assuming the triangles were congurent, if they are not, the answer may vary.
first, make an equation:
x + 8 = 3x - 9
bring 3x to the other side, by subtracting it
-2x + 8 = -9
Subtract 8
-2x = -17
divide by -2
x = 8.5
Then, just sub x into the formulas
The worth of Sarah's investment when she is 68 is $14,728.51.
<h3>What is the worth of the investment?</h3>
The formula that can be used to determine the worth of the investment is:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years = 68 - 18 = 50
$500 x (1.07)^50 = $14,728.51
To learn more about future value, please check: brainly.com/question/18760477
Answer:
c = 69 and h = 51
Step-by-step explanation:
You will need two different equations here
use variable c as coffee and variable h as hot chocolate
c + h = 120
1.80c + 3.15h = 284.40
By moving variables, you can alter the first equation
h = 120 - c
Now insert this into the second equation
1.80c + 3.15(120 - c) = 284.40
Multiply
1.80c + 378 - 3.15c = 284.40
Subtract the c
-1.35c + 378 = 284.40
Subtract 378 from both sides
-1.35c = -93.6
Divide both sides by -1.35
c = 69
Then plug into the first equation
69 + h = 120
Subtract 69
h = 51
7/3 you divide 3.5 by 1.5 and get 2.3333333 which in fraction form is 7/3
Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.
Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.
The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)
And the radius is = 
inches.
So, the largest pizza that can fit in the box will have a radius of 5 inches.
