ujalakhan01 can you answer these? 1. In Spencer’s garden, the number of rose bushes is 7 less than 1.5 times the number of carna
tion bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is 2. Using the Distributive Property, the expression 9.78(4.3x + 5.15) simplifies to
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Let Jean's speed while running = x mph
Then Jean's speed while riding will be = x+9 mph
Distance covered by running = 8 miles
Distance covered by riding = 11 miles
Total time taken to complete the race = 1.5 hours
As,
So, time for running=
And time for riding=
Equation becomes:
Now, multiply every term by 2x(x+9) to clear denominators:
Simplifying it we get
Solve the quadratic equation using formula
putting a=3 , b= -11, c= -144
we get (x - 9)(3x + 16) = 0
where x=9 and x=
Neglect the negative answer as speed cannot be negative, so x = 9 mph
Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph