Answer:
C
Step-by-step explanation:
18x1=18
18x3=54
ergo
18+54
Answer:
The equation to determine the total length in kilometers is ![\frac{h}{2} =(17+2)](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B2%7D%20%3D%2817%2B2%29)
The total length in kilometers of Josh’s hike is 38 km.
Step-by-step explanation:
Given:
Let the total length in kilometers of Josh’s hike be h.
Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.
It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.
Framing the above sentence in equation form we get;
![\frac{h}{2}=(17+2)](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B2%7D%3D%2817%2B2%29)
Hence, The equation to determine the total length in kilometers is ![\frac{h}{2} =(17+2)](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B2%7D%20%3D%2817%2B2%29)
Now Solving the above equation we get;
First we will multiply 2 on both side using Multiplication property we get;
![2\times \frac{h}{2}= 2\times(17+2)\\\\h =2\times 19 =38 \ km](https://tex.z-dn.net/?f=2%5Ctimes%20%5Cfrac%7Bh%7D%7B2%7D%3D%202%5Ctimes%2817%2B2%29%5C%5C%5C%5Ch%20%3D2%5Ctimes%2019%20%3D38%20%5C%20km)
Hence, The total length in kilometers of Josh’s hike is 38 km.
<em><u>True staments are:</u></em>
The y-variable will be eliminated when adding the system of equations
There is only one solution to the system of equations
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + 6y = 16 ----- eqn 1
8x - 6y = -2 ---- eqn 2
We have to solve the system of equations
When we add eqn 1 and eqn 2, then y term will get eliminated
Let us add eqn 1 and eqn 2
x + 6y + 8x - 6y = 16 - 2
6y and -6y will get eliminated
Thus, y-variable will be eliminated when adding the system of equations
x + 8x = 14
9x = 14
x = 1.55
Substitute x = 1.55 in eqn 1
1.55 + 6y = 16
6y = 16 - 1.55
6y = 14.45
y = 2.408
Thus the solution is x = 1.55 and y = 2.408
There is only one solution to the system of equations
It can help to write each number in expanded form, where the digit is multiplied by a power of the base.
332 base 5 = 3*5^2 + 3*5^1 +2*5^0 = 75 +15 +2 = 92
In base 8, this is
92 = 64 + 24 + 4 = 1*8^2 + 3*8^1 + 4*8^0 = 134 base 8
_____
The conversion of an integer to base b is often done by finding the remainder when dividing by b.
92/8 = 11 remainder 4
11/8 = 1 remainder 3
1/8 = 0 remainder 1
The digits of the converted number (right to left) are the remainders at each step. Here: 92 = 134 (base 8).