Answer:

Step-by-step explanation:
The slope intercept form is
.
The "
" is the slope; which in this case is -3. So
.
The "
" is the y-intercept, which is this case is the -8 because it is the 2nd number in the coordinate point.
This is why the answer is
.
Perimeter of a rectangle = 2L + 2W
Perimeter = 39
W = 8.5
we plug those into the perimeter equation and get
2L + 2(8.5) = 39
simplify
2L + 17 = 39
subtract 17 from both sides
2L = 22
divide both sides by 2
L = 11
therefore the length of the sheet of paper is 11 in.
Answer:
$2598.80
Step-by-step explanation:
49 at $12.80 per ticket = $627.20
106 at $18.60 per ticket = $1971.60
Total = $2598.80
Answer:
Let x and y be the two numbers. Then
yx=57 and x−y=20
Cross multiplying the proportion
5x=7y or y=75x
So, x−y=20
x−75x=20⇒77x−5x=72x=20
⇒x=2140=70
y=75x=75×70=50
So smaller number is 50.
Check :yx=5070=57 and 70−50=20
The two cars will be 5.5 miles apart after 5.5 hours.
Step-by-step explanation:
Given,
Speed of first car = 57 mph
Time = 5.5 hours
Distance covered by first car = Speed * Time
Distance covered by first car = 57*5.5 = 313.5 miles
Speed of other car = 58 mph
Distance covered by other car = 58*5.5 = 319 miles
Difference = 319 - 313.5
Difference = 5.5 miles
The two cars will be 5.5 miles apart after 5.5 hours.
Keywords: speed, distance
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