<span>A number, half of that number, and one-third of that number are added.
This statement can be expressed as:
x + (1/2)x + (1/3)x
The total is 22
</span>x + (1/2)x + (1/3)x = 22
So let's look for x
x + (1/2)x + <span>(1/3)x = 22
</span>(6x + 3x + 2x) / 6 = 22
11x = 132
x = 12
So the original number is 12.
Answer:
o
Step-by-step explanation:
Answer:
I'm pretty sure it's +(-6).
Step-by-step explanation:
Basically for these, you find the slope. The slope equation is y1-y2/x1-x2.
Pick two points.
I'll just do (1,15) and (2,9).
15-9/1-2 = 6/-1 = -6.
I don't know if you were taught it this way, but my math teacher always told us that the rate of change had to be positive.
So you'd say the rate of change is +(-6), not -6.
Hope that sorta helped lol
Answer:
1a) t = 0.17b
1b) $36.03
2) 51,167.50
Step-by-step explanation:
1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip
1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.
To find what the cost was without the tip, divide the bill total by 1.17
248/1.17 = 211.97. That was the bill before the tip was added.
248-211.97 = 36.03 was the tip added.
2) 5.5% converted to a decimal is 0.055
0.55 x 48,500 = 2667.50
$2,667.50 + $48,500 = 51,167.50
Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500
1.055 x 48,500 = 51,167.50