Answer:
32 magazines
Step-by-step explanation:
If x is the number of subscriptions in December, then the number in January is x-7.
The relationship between the average price of magazines in the two months is ...
80/(x-7) -80/(x) = 0.70 . . . . . . . . .Jan price - Dec price = 0.70
80(x) -80(x -7) = 0.70(x)(x-7) . . . . multiply by the denominators
0.7x^2 -4.9x +560 = 0 . . . . . . . . put in standard form
x^2 -7x +800 = 0 . . . . . . . . . . . . . divide by 0.7
(x -32)(x +25) = 0 . . . . . . . . . . . . . factor
The product is zero when one of the factors is zero. x=32 or -25. The sensible solution for this problem is x=32.
The school library subscribed to 32 magazines in December.
1) Write this as a ratio...
77.5 miles / 3.1 gallons = x miles / 8.2 gallons
Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.
8.2 gallons * 77.5 miles / 3.1 gallons = x
635.5/ 3.1 = x
211.83 miles = x
Justin travels 211.83 miles on 8.2 gallons of gas
2) If we let boys = b, then girls has to be b + 15 (since there are 15 more girls than boys). Now together there are 85 members of the band so... boys + girls = 85 and since girls is b + 15, then...
b + b+15 = 85
Now solve for b. First combine like terms...
2b + 15 = 85
Now subtract 15 from each side (cancels the 15 on the left)
2b + 15 - 15 = 85 - 15
2b = 70
Now divide each side by 2 (cancels 2 on the left)
2b / 2 = 70 / 2
b = 35
So there are 35 boys in the band.
Just FYI, that also means there are 35+15 = 50 girls. Just so happens that 50 + 35 = 85 so our work checks!
Since the volume of an object = \frac{4}{3}\times \Pi r^{3}
Volume= \frac{4}{3}\times (3.14) (243)^{3}
Volume= 60074091 mm^{3}
4/3 = AD/EH (similarity)
hence, AD= EH*4/3=60*4/3=80
so, 80
Answer:
650
Step-by-step explanation:
so the way I did this was by adding how much he works per week which is 35 per week. so he works 70 hours in 2 weeks. he earns 10 dollars per hour. so 10 times 70 you get 700 but he spends 50. so 700 minus 50. you get 650. he has 650 dollars left.
