Answer:
Perform the following division using partial quotients: 504 ÷ 14:
To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1
Step-by-step explanation:
1 4| 5 0 4
2 8 0 20 <---- 20 x 14 = 280
2 2 4 <---- 504 - 280 = 224
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10 <---- 10 x 14 = 140
8 4 <---- 224 - 140 = 84
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5 <---- 5 x 14 = 70
1 4 <---- 84 - 70 = 14
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5
1 4
1 4 1 <---- 1 x 14 = 14
0 <---- 14 - 14 = 0
Our partial quotients add up as follows:
20 + 10 + 5 + 1 = 36
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His meal has a total of 551 calories.
300+150 = 450
450 + 101 = 551
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
The simplification of the given expression 
will be equal to 
<h3>What is simplification?</h3>
The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.
The simplification of the given expression will be:
hence the simplification of the given expression will be equal to
To know more about Simplification follow
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x isn't a linear equation, it's just a variable or an expression or a letter of the alphabet.
x = 0 is a linear equation and is a line in the Cartesian plane. In fact, it's the y axis itself.
So every point on the line x=0 is a y intercept.
There is no "the" y intercept, no unique y intercept.
