Change the mixed leading number into an improper fraction...a b/c=(ac+b)/c
19/7-7/8 the least common multiple of the denominators is 56 so:
(19/7)(8/8)-(7/8)(7/7)
(152-49)/56
103/56 now we can change back into a mixed number...
(56+47)/56
1 47/56
Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours
Answer:
540.6 mi
Step-by-step explanation:
The angle of depression = angle of elevation = 6°
Let x = the distance to the runway.
tan 6 = 30000/x
xtan 6 = 30000
x = 30000/tan 6 =285430.9 ft
285430.9336.../5280 = 540.6 mi
Answer:
27.9 i think in in a fraction 12 / 43
Step-by-step explanation:
Hi there!
<em><u>Answer:</u></em>
<em><u>=107</u></em>
<em><u>*The answer must have a positive sign.*</u></em>
Step-by-step explanation:
<h2><u>Lesson: Order of operations</u></h2>
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
It can also go left to right.
First, you do exponents.
Then, you multiply from left to right.
Finally, you add from left to right.
I hope this helps you!
Have a nice day! :)
-Charlie
