Answer:
2 years 5 months
Step-by-step explanation:
TO solve, convert everything to months
1 year has 12 months, so 5 years would have 60, because we multiply by 5.
Then we add the remaining 2 months, 60+2 =62
Then we can convert 2 years to 24 months. Then we add the remaining 9 months to get 24+9, 33
Then we subtract the 2, and get 62-33= 29, and we divide by 12 to convert to years and months. 29 divided by 12 is 2 and 5 months
so your answer is 2 years and 5 months
The circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
<h3>What is Circle?</h3>
A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.
The circumference of the inner circle is 88 ft.
Circumference of a Circle = 2πr
2πr = 88
2 X 22/7 X r = 88
r = 88 X 7 / 44
r = 14 ft.
Radius of the inner circle = 14 feet
If the distance between the inner circle and the outer circle is 3 ft, the radius of the outer circle = 14+3 = 17 feet.
circumference of the outer Circle = 2πr
= 2 X 22/7 X 17
= 106.86 ft.
Difference in Circumference = 106.86 - 88 = 18.86 feet
Thus, the circumference of the outer circle is greater than that of the inner circle by 18.86 feet.
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Answer:
x = 7
y = 11
Step-by-step explanation:
Given the system;
y = 2x - 3
x + y = 18
1. Approach
The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.
2. Solve one of the equations for a variable
Manipulate the system such that each equation is solved for the same variable,
x + y = 18
Inverse operations,
x + y = 18
-18 -18
x + y - 18 = 0
-y -y
x - 18 = -y
3. Use elimination
Now substitute this back into the original system,
y = 2x - 3
-y = x - 18
Add the systems,
y = 2x - 3
-y = x - 18
_________
0 = 3x - 21
Inverse operations,
0 = 3x - 21
+21 +21
21 = 3x
/3 /3
7 = x
4. Find the value of the unknown variable
Backsovle to find the value of (y),
x + y = 18
Substitute,
7 + y = 18
Inverse operations,
7 + y = 18
-7 -7
y = 11
Answer:
C
Step-by-step explanation:
Answer:
k=9
Step-by-step explanation:
Here's how to solve this equation
Step 1: -7(k+9)=9(k-5)-14k
Step 2: -7k-63=(9k-45)-14k
Step 3: -7k-63=-5k-45
Step 4: -7k=-5k+18
Step 5: -2k=18
Solution: k=-9
Good luck on your assignment, hope this helps