Answer:
Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.
Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .
Let the fraction be
Since the numerator of a given fraction is 4 less than its denominator we have,
Numerator=Denominator-4
⇒ a=b-4
Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have
4(a-3)=1(b+5)
4a-12=b+5
4a-b=17
4(b-4)-b=17 ( ∵ a=b-4)
4b-16-b=17
3b=17+16
3b=33
⇒ b=11
Now put b=11 in a=b-4 we get
a=11-4
⇒ the fraction is a/b=7/11
Answer:
dimensions = 10.8 X 4
Step-by-step explanation:
Breadth/ width of room = x
Length of room = 6.8 + x
perimeter = 2 ( L + B )
29.6 = 2 ( 6.8 + x + x )
29.6/2 = 6.8 + 2x
14.8 - 6.8 = 2x
8 = 2x
8/2=x
4=x
Length of room = 6.8 + x = 6.8 + 4 = 10.8 m
Breadth/ width of room = x = 4m
Answer:
62.5%
Step-by-step explanation:
150/240=0.625
you do 0.625x100 to get the percent.
Answer:
y=400*x-500
Step-by-step explanation:
The expression that represents the problem is:
y=400*x-500
Function y represents earnings for one day.
400 is the fixed number that is charge for one hour work
x represents the number of hours that the technician has worked for one day
To find the total earnings you should multiply the fixed charge for one hour work (400) by the number of hours worked in a day.
Then you need to substract the cost of gasoline in a day, it is 500 and it is a constant in the equation since it doesn't depend on the number of hours worked.
So, the function is:
y=400*x-500
Answer:
-2, C
Step-by-step explanation:
Use the formula: (y2-y1)/(x2-x1)
Substitute the numbers:
(4-(-4)) / (3-7)
=8 / -4
= -2
The slope is -2, or C
