Answer:
x = 5/8 for 5x - 3 = (1/5)x
Step-by-step explanation:
To find x, we want to isolate our 3 from our x-values. You can add three to both sides of the equation and get it to the other side and then subtract 1/5x from 5x.
(5x - 3) + 3 = ((1/5)x) + 3
5x = (1/5)x + 3
5x = (25/5)x
((25/5)x) - (1/5)x = ((1/5)x + 3) - (1/5)x
(24/5)x = 3
From here, you would want to solve for x. This would mean multiplying 3 by 5 and dividing your product by 24.
5*3 = 15
15/24 = 5/8 = x
Hope this helps!
Step-by-step explanation:
The mean is- 100 ÷ 5= 20
The median is- 15
hope it helps!
Yes, your answer is correct.
Let's identify what we are looking for in terms of variables. Sandwiches are s and coffee is c. Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c. Those all put together on one bill comes to 26. So Casey's equation for his purchases is 3s + 5c = 26. Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23. Eric's equation for his purchases then is 4s + 2c = 23. In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's. The coefficients on the s terms are 4 and 3. 4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out. 4[3s + 5c = 26] means that 12s + 20c = 104. Multiplying the second bolded equation by -3: -3[4s + 2c = 23] means that -12s - 6c = -69. The s terms cancel because 12s - 12s = 0s. We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for. 20c = 104 and -6c = -69. Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35. That means that c = 2.5 and a cup of coffee is $2.50. There you go!
The winner of an election is voted for by the majority of people. If there are two things being voted for, veggie pizza and chicken, and pizza earns 36% of the vote, then chicken must earn 64% of the vote because 36 and 64 add to 100.
Therefore, the chicken would win the election and be on the lunch menu.
