Answer: 16
Step-by-step explanation:
Answer:
factors are any group of number or expressions which, when multiplied, produce another number or expression.
Basic example: 4 can be broken into 2 factors---2 and 2. 2 times 2 = 4
Example using an unknown:
2X + 6 = 2 * (X + 3)
In the given problem, there is no whole-number common factor. A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.
So: 8X + 7 = 8 ( X + 7/8 )
The following would also be correct:
8X + 7 = 4 ( 2X + 7/4 )
Step-by-step explanation:
Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
9514 1404 393
Answer:
geometric
Step-by-step explanation:
The signs of the terms alternate, so it cannot be an arithmetic sequence.
The ratios of terms are ...
6/-3 = -12/6 = 24/-12 = -2
The terms have a constant ratio of -2, so the sequence is geometric.
Since we know what time Dennis' sister finished babysitting, we can calculate how much money she's made since 9p.m. Between 9 and 11 is 2 hours, so we know she made $16 ($8 per hour x 2 hours).
That means she made $22 before 9p.m. ($32 total - $16 made past 9p.m.)
So, you just need to figure out how many hours $22 is worth and subtract that number of hours from 9p.m. That will get you to the starting point of babysitting.
$22 / $5.50 = 4 so we know that $22 is 4 hours' worth of babysitting.
9p.m. - 4 hours is 5p.m., so we know that Dennis' sister started babysitting at 5p.m.
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