Answer:
There were (4x + 2) grapes in the bowl
Step-by-step explanation:
Here, we are interested in calculating the total number of grapes in the bowl.
We have 3 people sharing the total
Damien are x grapes
Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes
Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes
And now, we have 6 grapes left.
To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.
Mathematically, that would be;
x + 1 + 2x + x -5 + 6
= 4x + 2
central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians
Step-by-step explanation:
We need to find the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm.
arc length l== 7.2 cm
radius =r= 8 cm
central angle=Ф = ?
The formula used is:

Putting values:

So, central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians
Keywords: central angle of circle
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The amount that needs to be changed = 6.60 pounds
The ratio in which the given amount needs to be divided = 5:6
Let us assume the common ratio to be = x
Then
5x + 6x = 6.60
11x = 6.60
x = 6.60/11
= 0.6
So
The ratio for dividing 6.60 in the ratio 5:6 will be = 5 * 0.6: 6 * 0.6
= 3:3.6
This is the simplest way to to find the ratio of the amount 6.60 pounds. I hope you have understood the procedure.