Answer:
These two locations are 1200 miles apart.
Step-by-step explanation:
This question is solved using proportions, by a rule of three.
We have that:
1.25 inches represents 500 miles. 3 inches will represent x miles. So
1.25 inches - 500 miles
3 inches - x miles
Applying cross multiplication:
These two locations are 1200 miles apart.
Answer:
- 1364
Step-by-step explanation:
The n th term of a geometric series is
= a
where a is the first term and r the common ratio
4 ← is an n th term
with a = 4 and r = - 2
The sum to n terms of a geometric series is
= , thus
=
=
=
=
= - 1364
Answer:
13.62205 is your answer
Step-by-step explanation:
divide 34.6/2.54
Answer:
(14, -9)
Step-by-step explanation:
So you can solve this using substitution. When you're solving a systems of equations, you're looking for when (x, y) is the same for both equations, or in other words where the two linear equations intersect. Because of this we can solve for x or y in one equation and substitute it into the other equation, since the x and y in one equation should equal the x and y in the other equation.
Original equation:
x + 2y = -4
Subtract 2y from both sides
x = -2y - 4
Original equation:
2x + 3y = 1
Substitute -2y -4 as x
2(-2y - 4) + 3y = 1
Distribute the 2
-4y - 8 + 3y = 1
Combine like terms
-y - 8 = 1
Add 8 to both sides
-y = 9
Multiply both sides by -1
y = -9
So now that you know what y is, you can plug it into either equation to solve for x:
x + 2y = -4
Plug in -9 as y
x + 2(-9) = -4
Multiply
x - 18 = -4
Add 18 to both sides
x = 14
So this gives you the solution (14, -9)