Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
If they won 55 of the games, that means they lost the rest of the 75. So,
75 - 55 = 20 games lost. To find the percentage of 20 out of 75, you set up a proportion:
where x = the percentage of games lost. Cross multiply and divide to isolate the x:
Rounded to the nearest hundredth, the Royals lost 26.667 % of their games.
Answer:
Sandy will receive $800
Steve will receive $600
Step-by-step explanation:
Sandy : Steve = 4 : 3
Sandy = 4
Steve = 3
Total ratio = 4 + 3 = 7
Total prize money = $1400
How much does Sandy receive ?
Sandy's share = Sandy's ratio / total ratio × Total prize money
= 4 / 7 × 1400
= 4 × 200
= $800
Sandy will receive $800 out of $1400
Steve's share = Steve's ratio / total ratio × Total prize money
= 3 / 7 × $1400
= 3 × $200
= $600
Steve will receive $600 out of $1400
Check:
Sandy's share + Steve's share
= $800 + $600
= $1400