Answer:
<u>Jonathan has to pay Faye back US$ 240 </u>
<u>Jonathan has 4 people on his bill and Faye has 6.</u>
Step-by-step explanation:
1. Let's find out the amount of the phone bills, this way:
Total of the two bills = US$ 600
Faye's bill = US$ 120 more than Jonathan's
Jonathan's bill = x
Solving for x, we can use this equation:
x + x + 120 = 600
2x + 120 = 600
2x = 600 - 120
2x = 480
x = 480/2 = 240
<u>Jonathan has to pay Faye back US$ 240 </u>
2. Let's find out the number of people on each bill, this way:
Faye has two people more on her bill than Jonathan
Number of people on Jonathan's bill = x
Number of people on Faye's bill = x + 2
We will use the following equation:
240 * (x + 2) = 360x
240x + 480 = 360x
240x - 360x = -480
-120x = - 480
x = -480/-120
x = 4 ⇒ x + 2 = 6
<u>Jonathan has 4 people on his bill and Faye has 6.</u>
<em>y</em> - 1/<em>z</em> = 1 ==> <em>y</em> = 1 + 1/<em>z</em>
<em>z</em> - 1/<em>x</em> = 1 ==> <em>z</em> = 1 + 1/<em>x</em>
==> <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)
<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1
==> 2<em>x</em> ² - 1 = 2<em>x</em> + 1
==> 2<em>x</em> ² - 2<em>x</em> - 2 = 0
==> <em>x</em> ² - <em>x</em> - 1 = 0
==> <em>x</em> = (1 ± √5)/2
If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.
Answer:
Step-by-step explanation:
You could either do what I did in the above answer, or you could do this:
It does not matter how you write it, as long as you understand the concept!
I am joyous to assist you anytime.
It is 32 because highest number subtracted by lowest
The expression of Volume in cubic meter 
(8)(6)(6)+(8)(6)(4)
The correct option is (1)
<h3>What is Volume?</h3>
Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains.
Volume will be,
V= Volume of rectangular pyramid + Volume of cuboid
Volume of rectangular pyramid= * base area* height
= * 6*8*(10-4)
= * 6*8*6
Volume of cuboid= l*b*h
= 4*6*8
So, Volume = * 6*8*6 + 4*6*8
= (8)(6)(6)+(8)(6)(4)
So, The expression of Volume in cubic meter (8)(6)(6)+(8)(6)(4).
Learn more about Volume here:
brainly.com/question/15626455
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