Answer:
⇒ 
Step-by-step explanation:
Ice cream = 4 1/2 gallons
milk = 6 3/10 gallons
ice cream: 4 1/2 = (4*2 + 1)/2 = 9/2
milk: 6 3/10 = (6*10 +3)/10 = 63/10
milk:ice cream proportion: a:b = c:d where a*d = b*c
a = 63/10 ; b = 9/2 ; c = x ; d = 1
63/10:9/2 = x:1
63/10 * 1 = 9/2 * x
63/10 = 9x/2
63/10 * 2 = 9x/2 * 2
126/10 = 9x
126/10 * 10 = 9x * 10
126 = 90x
126/90 = 90x/90
1 36/90 = x
x = 1 36/90 simplified to 1 13/30
1 13/30 gallons of milk will make 1 gallon of ice cream.
1. 9
2. 16
3. 225
4. 196
5. 25
6. 256
Domain of the function F(x) = log 0.3 x is :
All Real Numbers greater than zero.
So the right answer is :
D. All real numbers
Let your 1st integer be X, then the 2nd will be (X+1) and the 3rd will be (X+2). Since we need the sum of the squares to equal 110 ⇒ X² + (X+1)² + (X+2)² = 110 Expanding the left-hand side: X² + X² + 2·X + 1 + X² +4·X + 4 = 110 3·X² + 6·X + 5 = 110 3·X² + 6·X - 105 = 0 Solve using the quadratic formula and you get roots: X = 5, X = -7 Your problem doesn't state that we have to restrict the solution to positive integers only and since we are summing the squares we have 2 solutions that work: 5, 6, 7 and -7, -6, -5
