Answer:
Below in bold.
Step-by-step explanation:
I'll solve a few of them to illustrate the method:
a) 5x - (3x - 1) = x - 4
The aim is to get all the 'x' terms to one sides of the '=' and the numbers to the other side:
Distribute the negative over the 3x - 1 in the parentheses:
5x - 3x + 1 = x - 4 ( Note that -* -1 = + 1)
Now subtract 1 from both sides:
5x - 3x + 1 - 1 = x - 4 - 1
5x - 3x = x - 5
Now subtract x from both sides:
5x - 3x - x = x - x - 5.
2x - x = -5
x = -5.
(b) 3/5 x + 1 = 2/5 - 3x
We first get rid of the fractions by multiplying each term by 5:
5 * 3/5 x + 1*5 = 5 * 2/5 - 5*3x
3x + 5 = 2 - 15x
3x + 15x + 5 = 2 - 15x + 15x (adding 15x to both sides)
18x + 5 = 2 Subtract 5 from both sides:
18x + 5 - 5 = 2 - 5
18x = -3
Now we divide both sides by 18:
x = -3/18 = -1/6.
g) 0.3(6 + m) = 0.4(8 - m)
0.3 * 6 + 0.3* m = 0.4*8 + 0.4 * -m ( Distributing the 0.3 and 0.4 over the parentheses)
1.8 + 0.3m = 3.2 - 0.4m ( recall that + * - = -)
1.8 - 1.8 + 0.3m = 3.2 - 1.8 - 0.4m
0.3m = 1.4 - 0.4m
0.3m + 0.4m = 1.4 - 0.4m + 0.4m
0.7m = 1.4
m = 1/4/0.7
m = 2.
I hope this helps.
Answer:
Your Winnings are $ -1
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
Since we are not told what two balls were actually drawn, then the expected winnings would be of the greatest probability occurring. To figure this out we need to calculate the probability of getting two red balls consecutively and the probability of getting two different colors consecutively. Since there are a total of 10 balls the probabilities of getting one ball would be the following,
Red: 
Green: 
Now we need to know the probability of us getting 2 reds together, two greens, or one of each.
2 Reds: 
2 Greens: 
1 Each: 
So we can see that the highest probability is getting 2 Greens in a row. Meaning you would have to pay $1
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Answer:
158.4
Step-by-step explanation:
Answer:
Volume of shed = 38 m³
Step-by-step explanation:
Given:
Length = 5 m
Width = 2 m
Height of wall = 3 m
Height of triangular shed = 1.6 m
Find:
Volume of shed
Computation:
Volume of shed = Volume of walls + Volume of triangular shed
Volume of shed = [lbh] + [1/2][Base area]h
Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6
Volume of shed = [30] + [8]
Volume of shed = 38 m³