Answer: x^2-3x+15
Step-by-step explanation:
Combine the like terms.
x^2 -3x+15
Answer:
yard
Step-by-step explanation:
Length of string Mrs. Ruiz has = yard
Mrs. Ruiz needs to hang 3 banners using the string.
Having known that each banner uses same length of string to be hung we can divide total length of sting into 3 equal parts.
So, we can divide yard by 3 as
⇒
Changing the division sing to multiplication by taking reciprocal of divisor.
⇒
We can now multiply numerators and denominators.
⇒ yard
∴ Mrs. Ruiz must used yard of string for each banner.
Hey there!
For Part A, all you need to do is write out an equation for how many dollars Andrew would make for x hours during regular hours (not overtime). Since he makes 6 dollars per hour, this will be 6x.
W = 6x
For Part B, create a similar equation for overtime hours. Overtime hours only apply after Andrew has worked 40 hours, so plug that into your first equation and add that to the second equation.
W = 6x
W = 6(40)
W = 240
S = 240 + 9y
For Part C, consider what we now know. If Andrew earns any money over 240 dollars (which is how much he earns after 40 hours), we know he worked overtime. So, we can just plug 330 into the second equation for S and solve for the number of additional hours he worked, y.
330 = 240 + 9y
– 240 – 240
<u>90</u> = <u>9y</u>
9 9
10 = y
Now, we can add up the initial 40 hours plus the additional 10 hours, which is 50 hours total.
Hope this helped you out! :-)
Answer:
The cost of hardbook is $9 and cost of paperback is $5.
Step-by-step explanation:
Let x be the price for hardback book and y be the price for paperback book.
Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.
We can write the equation as:
He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.
We can write the equation as:
We have to use the elimination method to solve the two equations.
We eliminate x by subtracting the two equations.
Thus, the cost of hardbook is $9 and cost of paperback is $5.
Subtract 3 both sides first. R-3=ts²
next, divide both sides by t, (R-3)/t=s²
finally, take the square root of both sides
√(R-3)/t = s. 2nd choice.