The answer to question 4 is C, (16,20)
Answer:
8/40 is the correct answer
Compatible numbers is used to find estimate to a sum. The numbers are chosen because its 'simplicity' when they are multiplied, divided, added or subtracted.
Estimate one:
We can decrease the value 1322 to 1320 and 18 to 15
Then do the sum = 1320÷15 = 88
This estimate is not far from the actual answer 1322÷18 = 73.44..
Estimate two:
We can increase 1322 to 1330 and 18 to 20
Then do the sum 1330÷20=66.50
This estimate is also not far from the actual answer 73.44...
Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
Answer:
- Using the y-axis to represent pounds, and the x-axis to represent kilograms, the graph is straight line going through the origin with a slope of 2.2 lbs/kg.
Explanation:
A constant conversion factor, such as 1 kg 2.2 lb, means that the two units are in direct proportion; thus the graph is a straight line that goes through the origin.
The conversion factor also gives the slope of the line.
Depending on which axis you choose for either unit the slope may be 2.2 pounds per kilogram, or 1/2.2 kilogram per pound.
When you use the y-axis for pounds and the x-axis for kilograms then the relationship is:
In that case, the slope is 2.2 pounds per kilogram.
