Answer:
x^2+12x+35
Step-by-step explanation:
x(x+7)+5(x+7)
x^2+7x+5x +35
x^2+12x+35
x+ x+6+ 5x =34
combine like terms
7x+6 = 34
subtract 6 from each side
7x+6-6 = 34-6
7x = 28
divide by 7
7x/7 = 28/7
x =4
x is cows
5times as many chickens as cows
chickens = 5x
chickens = 5*4 = 20
money for chickens = 20* 1.75 = 35.00
he made $35.00 for his chickens
35 = 5*7
7 = 5*5 -18
The dimensions of the rectangle are: length = 7 cm, width = 5 cm.
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It is handy to know your times tables.
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If you want, you can write a couple of equations and solve them.
.. L = 5W -18
.. LW = 35
Substituting for L, we have
.. (5W -18)W = 35
.. 5W^2 -18W -35 = 0 . . . . put in standard form
.. (W -5)*(5W +7) = 0 . . . . . factor
.. W = 5 or -7/5 . . . . . . . . . we are only interested in the positive solution
The width of the rectangle is 5 cm; its length is 7 cm.
A] David's speed during the period:
i] AB
speed=distance/time
time taken between AB=0.5 hours
distance=20 km
thus
speed=20/0.5=40 km/h
ii]BC
time taken between BC=1.5 hours
distance=20
speed=20/1.5=13 1/3 km/h
b] Average speed for the entire time will be:
average speed=(total distance)/(total time)
total distance=(20+20+20)=60 km
total time=3 hours
thus
average speed=60/3=20 km/h
c] David's distance 2 hours and 15 minutes from the starting point was:
distance=20+20+10=50 km
