The advantage of the graphing calculator is that you just have to find two independent equations, introduce them in the calculator and it will find the intersection point ot the two graphs.
The equations that you have to introduce are:
1) y = 2.25x + 24
2) y = 2.75x + 23
The algebraic solution, which will give you the same coordinates of the intersection point of the graphs is
2.25x + 24 = 2.75x + 23
2.75x - 2.25x = 24 - 23
0.5x = 1 => x 1 /0.5 = 2.
Answer: 2
Answer: 5 : 3 1/8 = 8 : 5
Step-by-step explanation:
Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
The answer is 360.42 or 360
See how many times 15 can go into 120.
If 15 • 8 is 120, then the cost would have to multiply by 8.
It costs $2.00 to use the dryer for 120 minutes.
We can also use the equation to help. We plug in 120 for m and solve.
We still end up with the same result: $2.00 for 120 minutes.
