<h3>
Answer: D) 6</h3>
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Explanation:
Direct proportion equations are in the form y = kx, for some constant k.
The k value is the constant of proportionality. Solving for k leads to k = y/x.
For each row in the table, divide the y value over the paired x value.
- Row1: k = y/x = 12/2 = 6
- Row2: k = y/x = 24/4 = 6
- Row3: k = y/x = 30/5 = 6
- Row4: k = y/x = 54/9 = 6
Each row leads to the same k value, so the constant of proportionality is 6.
The equation y = kx updates to y = 6x.
This line has slope 6 and y intercept 0.
All direct proportion equations go through the origin.
Answer: First, add 3.99 + 7.17. Then take the sum of those two numbers and multiply it by .05 to get 0.55. Since we are dealing money, round to the nearest hundredth to get .56. Add the sum of 3.99 and 7.17 (11.16) and .55 to get a total of 11.71. Therefore the total cost of their dinner, including tax, was $11.71.
Step-by-step explanation:
$21.6
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Step-by-step explanation:
Kilometres when Satish is alone
150 kilometres in the beginning
150 kilometres in the end
Total: 300 kilometres
Litres of gas when Satish is alone
6 litres of gas per 100 kilometres
6 x 3 for 300 kilometres = 18 litres
Cost of gas when Satish is alone
$1.2 per litre
18 x 1.2 = $21.6
Therefore, Satish will pay $21.6 for gas.
Answer:
x=4, y=-3. (4, -3).
Step-by-step explanation:
5x+4y=8
2x-3y=17
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2(5x+4y)=2(8)
-5(2x-3y)=-5(17)
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10x+8y=16
-10x+15y=-85
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23y=-69
y=-69/23
y=-3
5x+4(-3)=8
5x-12=8
5x=8+12
5x=20
x=20/5
x=4
<h2>5.4 × 10⁵ - 1.4 × 10⁴ = 540,000 - 14,000 = 526.000</h2><h2 /><h2 />