Answer:
X = 4 & Y = 3
Step-by-step explanation:
1. Multiply the first equation by -2 & Multiply the second equation by 1
-2 (2x+3y=17)
1 (3x+6y=30)
Becomes:
−4x−6y=−34
3x+6y=30
Add these equations to eliminate y:
−x=−4
2. Then solve −x= −4 for x:
−x=−4
-x/−1 = −4/−1
(Divide both sides by -1)
x=4
Now that we've found x, plug it back in to solve for y.
Write down an original equation:
2x+3y=17
Substitute (4) for (x) in 2x+3y=17:
(2)(4)+3y=17
3y+8=17(Simplify both sides of the equation)
3y+8+−8=17+−8(Add -8 to both sides)
3y=9
3y/3 = 9/3
(Divide both sides by 3)
y=3
<span>So we need to find the average speed of the bus that travels 20 km in 30 minutes. Average speed is defined as: Average speed=distance travelled/time taken or: v=s/t. We know s=20 km and t=30 minutes=0.5h. So after we input our numbers in the equation, we get: v=20km/0.5h=40km/h. So the correct answer is C) 40km/h.</span>
Equation (1)
Equation (2)
Get y alone in equation (1)
Insert y in equation (2)
Answer:
Your answer should be 443.82
Step-by-step explanation:
Ok, so if 6 workers were paid 6.93 an hour each and worked 9 hours each then you would do 6.93 x 9 for the number of hours and the pay for each hour, which is 62. 37. Then you would times 62.37 by 6 because you have 6 workers and the question asks for how much they made in TOTAL. 62.37 x 6 is 344.22, then you still have you overtime hours. So if each worker makes 3.32 for every overtime hour then you would do 3.32 x 5 for the number of hours. And that equals 16.60, then you would multiply that by 6 for the number of workers, 16.60 x 6 = 99.60. So in total for regual hours they made 344.22, and in total for overtime hours they made 99.60. Now you add those to to get you overall price which is 443.82. And that should be your answer
Hope I did some good :) Have a great day!
Answer:
4:9
Step-by-step explanation:
- Circles: 8
- Total shapes: squares + circles
- Total shapes: 10 + 8
- Total shapes: 18
- Circles : Total shapes = 8:18
- 8:18 = 4:9
I hope this helps!
