The exact name of the postulate isn't coming to mind, but it's the postulate that any three points that are not on the same line will form a unique plane. A plane in mathematics is a flat surface that extends in all directions.
Answer:
1 : 3.
Step-by-step explanation:
15 : 45
Divide both numbers by 15 , we get:
1 : 3.
Answer:
44kg of cereal, 16kg of nuts
Step-by-step explanation:
Step 1. We work out how much the party mix would cost if all of it was nuts.
$2.50 x 60kg = $150
Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.
$1.40 x 60kg = $84
Step 3. We work out the difference between the two above numbers.
$150 - $84 =$66
Step 4. We work out the difference between the nut mix and the cereal mix.
$2.50 - $1 = $1.50
Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.
$66 ÷ $1.50 = 44
Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.
60kg - 44kg = 16kg
Step 7. We double check.
44kg of cereal = $44 16kg of nuts = $40 $44 + $40 = $84
$84 ÷ 60kg = $1.4 per kg
Hope this helped!
Bluey :)
The slope of the graph will correspond to the unit rate.
The unit rate is the amount it cost for one minute.
From the graph at x = 1, the rate is $4.75.
Answer:
y = 2x + 3 → Gradient / slope = 2 → Y - intercept = 3
y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3
Step-by-step explanation:
y = mx + c
This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so
y = 2x + 3
Gradient / slope = 2
Y - intercept = 3
y = -3x + 3
Gradient / slope = -3
Y - intercept = 3
