Answer:
The answer is 1251, the remainder is 3.
Step-by-step explanation:
Y = -x^2 + x + 2
y = -x + 3
-x + 3 = -x^2 + x + 2
x^2 - x - 2 - x + 3 = 0
x^2 -2x + 1 = 0
(x - 1)(x - 1) = 0
x - 1 = 0 y = -x + 3
x = 1 y = -1 + 3
y = 2
solutions are : (1,2) , (1,2)
Answer:
E. 10 feet
F. RS
Step-by-step explanation:
E. Height of actual tree = 
× 6 inches
= 10 feet
F. CD is like ST but bigger.
DA is like TQ but bigger.
AB is like QR but bigger.
BC is like RS but bigger.
Their proportion stays the same.
Answer:
585
Step-by-step explanation:
This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.
__
80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...
260/20% = 1300 . . . tourists surveyed
Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...
45% × 1300 = 585
The number of tourists who have been to India, but not China, is 585.
Answer:
A. ¹/₁₄ lb
Step-by-step explanation:
¹/₁₆ lb sand goes with ⅞ lb compost.
For 1 lb compost, the mass of sand needed is:
1 lb compost × (¹/₁₆ lb sand)/(⅞ lb compost).
We must evaluate the fraction (¹/₁₆)/(⅞).
Invert the denominator and multiply
(¹/₁₆)/(⅞) = ¹/₁₆ × ⁸/₇ Cancel the 8s
= ½ × ⅐ Multiply numerators and denominators
= ¹/₁₄
For 1 lb of compost, the mass of sand needed is ¹/₁₄ lb.
