Answer: it should be C
Step-by-step explanation:
proof is (countable) an effort, process, or operation designed to establish or discover a fact or truth; an act of testing; a test; a trial while theorem is (mathematics) a mathematical statement of some importance that has been proven to be true
20/1.04 = 19.60$
20.00$-19.60 = 0.40$ in change.
The numbers are 1 and 18
<em><u>Solution:</u></em>
Let the smaller number be "x"
Let the larger number be "y"
Given that smaller of two numbers is five less than
the larger number
smaller number = one - third of larger number - 5
![x = \frac{1}{3} \times y - 5\\\\x = \frac{y - 15}{3}\\\\](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20y%20-%205%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7By%20-%2015%7D%7B3%7D%5C%5C%5C%5C)
3x = y - 15
y = 3x + 15 ------- eqn 1
Half the larger added to the smaller is 10
![\frac{1}{2}y + x = 10\\\\\frac{y + 2x}{2} = 10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dy%20%2B%20x%20%3D%2010%5C%5C%5C%5C%5Cfrac%7By%20%2B%202x%7D%7B2%7D%20%3D%2010)
y + 2x = 20 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
3x + 15 + 2x = 20
5x = 20 - 15
5x = 5
<h3>x = 1</h3>
From eqn 1,
y = 3(1) + 15 = 18
<h3>y = 18</h3>
Thus the numbers are 1 and 18
1.-x[6+(4*2)]-5, first do the things in the parenthesis: 4*2=8, then +6=14 then *-x=-14x and keep the -5
-14x-5
Answer:
10 feet
Step-by-step explanation:
Let the length and the age of the sea turtle be L inches and A years old respectively.
Since its length is directly proportional to its age,
L= kA, where k is an unknown constant.
Let's find the value of the constant k.
L= kA
When L= 3, A= 2,
3= k(2)
2k= 3
k= 3 ÷2
![k = \frac{3}{2}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
Substitute the value of k back into the equation:
![L = \frac{3}{2} A](https://tex.z-dn.net/?f=L%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20A)
When A= 80,
![L = \frac{3}{2} (80)](https://tex.z-dn.net/?f=L%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%2880%29)
L= 120
Length of sea turtle
= 120 inches
= (120 ÷12) feet
= 10 feet