Explanation:
The value of x is provided by the second equation, therefore the first step would be to substitute that value for x, which is 2(2y - 1)- y = 7.
Explanation:
Mary was three times as old as Mark five years ago.
Mark is 10 years old now. Therefore, 5 years ago Mark was just 5 years old.
Five years ago, Mary was:
A = 3 × 5 = 15
15 + 5 = 20
So Mary is 20 years old now.
Explanation:
You have to flip the inequality symbol on the negative solution when solving a 1-variable absolute value inequality and undoing an absolute value.
Explanation:
Point (3, 4) is included.
Explanation:
The amount must be greater than 50, and less than 75. $55 is the only number that meets the parameters.
Explanation:
Solving for x, you will get:
8x - 7 = 5x + 8
3x = 15
x = 15 / 3 = 5
Explanation:
The roller coaster requirement to be at least four feet tall introduces a range of possible values. Anyone who is four feet tall or taller can therefore ride.
Explanation:
Find the area of the entire shape by breaking it into two rectangles:
6*2 + 5*4 = 32
Break the inner shape into two rectangles:
5*2 - 1*2 = 8
Subtract the inner shape from the entire shape:
32 - 8 = 24
Explanation:
Convert the mixed numbers to improper fractions:
1 1/6 = 7/6 and 2 1/2 = 5/2
Now, multiply these two improper fractions together:
7/6 * 5/2 = 35/12
Simplifying, you get 2 11/12 hours.
Explanation:
We will be solving for the total cost of the rental (TC) when we set up the equations for the two companies. We will obtain a single value for both equations—the point at which both businesses charge the same amount—by using a system of equations.
Explanation:
The number in front of the x is the slope, which indicates how much it increases with each step, and the number by itself is the y-intercept, or where it begins when using the slope-intercept form. Therefore, the number in this problem must be 5, and the number in front of the x must be 8.
