a / 75 = 15 / 100
100a = 75 * 15 [cross multiplication]
a = 11.25
i hope this helps!!! :D
Simplifying
0.4x + -2.5 = 1.3x + 4.7
Reorder the terms:
-2.5 + 0.4x = 1.3x + 4.7
Reorder the terms:
-2.5 + 0.4x = 4.7 + 1.3x
Solving
-2.5 + 0.4x = 4.7 + 1.3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.3x' to each side of the equation.
-2.5 + 0.4x + -1.3x = 4.7 + 1.3x + -1.3x
Combine like terms: 0.4x + -1.3x = -0.9x
-2.5 + -0.9x = 4.7 + 1.3x + -1.3x
Combine like terms: 1.3x + -1.3x = 0.0
-2.5 + -0.9x = 4.7 + 0.0
-2.5 + -0.9x = 4.7
Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.9x = 4.7 + 2.5
Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.9x = 4.7 + 2.5
-0.9x = 4.7 + 2.5
Combine like terms: 4.7 + 2.5 = 7.2
-0.9x = 7.2
Divide each side by '-0.9'.
x = -8
Simplifying
x = -8
Answer: A
Step-by-step explanation:
On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.
So, the reflection of the point is: (8, -7)
Therefore, Option(a)(8, -7) is true.
Answer:
27 miles in the morning and 85 miles in the afternoon.
Explanation:
Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression
3m+4
to represent the miles ridden in the afternoon.
Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:
m+3m+4 = 112
Combine like terms:
4m+4 = 112
Subtract 4 from each side:
4m+4-4= 112-4
4m = 108
Divide both sides by 4:
4m/4 = 108/4
m = 27
They rode 27 miles in the morning.
That means in the afternoon, they rode
3m+4 = 3(27)+4 = 81+4 = 85 miles.
