Okay, first you got to simplify the mixed numbers. Example: 2 and 1/2. I got 5/2, how is this? first multiply 2 * 2 then add 1 from the numerator. sorry if this doesn't make since. You got to do this before you do the actual math.
Answer:
16.5 inch
Step-by-step explanation:
piece one = 1u
piece two, which is 5 times= 5u
total length = 6u = 99
1u= 99÷6= 16.5 inch
Answer: it would take 280 miles before Laura pays the same amount for both plans..
Step-by-step explanation:
Let x represent the number of miles that Laura drives using either the first plan or the second plan
Let y represent the total cost of x miles when using the first plan
Let y represent the total cost of x miles when using the second plan
The first plan has an initial fee of $55.98 and costs an additional $0.13 per mile driven. This means that the total cost of x miles would be
y = 0.13x + 55.98
The second plan has an initial fee of $69.98 and costs an additional $0.08 per mile driven.This means that the total cost of x miles would be
z = 0.08x + 69.98
To determine the number of miles that Laura would drive before the amount for both plans becomes the same, we would equate y to z. It becomes
0.13x + 55.98 = 0.08x + 69.98
0.13x - 0.08x = 69.98 - 55.98
0.05x = 14
x = 280
If we say there are 100 cars in a lot (It's an arbitrary number. You can use any number you want), Matthew can wash 100 cars in 14 hours or 7.14 cars an hour. Arianna can wash 100 cars in 11 hours or 9.09 cars an hour. Together, in an hour they can wash 7.14 + 9.09 or 16.23 cars. So to wash 100 cars it would take them 100/16.23 = 6.16 or about 6 hours.
You can do this with variables as well.
Matthew has a rate of x/14 while Arianna has a rate of x/11. Together their rate is x/14 + x/11= x/y
Divide both sides by x, you would get 1/14 + 1/11 = 1/y
Solve for y which would be around 6 hours.
"for each hour that she works over 40hrs in a week" key words "for each hour" in that section of the sentence. so we take 489.85 divide that by 9.7 = 50 and then we divide 489.85 by 5 so that we can get 1/5 of 50, then we take 9.7 times 1.5 = 14.55 and divide that by 97.97
489.85/5 = 97.97/14.55 = 6.73 + 40hrs = 46.73hrs
Not sure why it's a decimal.. but I'm 100% sure that's how you solve it
