Answer:
1a) 25, 1b) 3, 2a) 14, 2b) 4
Step-by-step explanation:
1a)
x/5 + 10 = 15
Subtract 10 from both sides:
x/5 = 15 - 10
x/5 = 5
Multiply both sides by 5:
x = 5 * 5
x = 25
1b)
25x + 26 = 101
Subtract 26 from both sides:
25x = 101 - 26
25x = 75
Divide both sides by 25:
x = 75/25
x = 3
2a)
Four less than a number is 10.
Let's call the number x. This means:
x - 4 = 10
Now add 4 to both sides:
x = 10 + 4
x = 14
2b)
The product of three and a number equals 12.
Let's call the number x. This means:
3 * x = 12
Now divide both sides by 3:
x = 12/3
x = 4
2x + 7 ≤ 3x - 5
Start by keeping the variable x on the left side of the inequality, and move everything else to the right side.
We can do this by subtracting 3x from both sides and subtracting 7 from both sides.
-x ≤ -12
Divide both sides by -1 to make x a positive; when dividing by a negative number you will flip the inequality sign, so ≤ becomes ≥.
x ≥ 12
Possible solutions for x are any number equal to or greater than 12.
Let x = length and y = width
You would have 2 lengths, so 2x and 3 widths, so 3y
Those need to equal total length of fence:
2x + 3y = 1200
The 3 widths would equal total fence minus the 2 lengths:
3Y = 1200-2x
Solve for y: y = 400 -2/3x
Area = length x width = xy. Replace y :
Area = x(400-2/3x) = 400x-2/3x^2
Differentiate:
400-4x/3 =0
4x/3 = 400
4x = 1200
X = 300
Y = 400-2/3(300) = 200
The dimension would be 300 ft x 200 ft
Answer: 1 is greater 2 is less 3 is greater 4 is less
Step-by-step explanation:
If you observe the two given equations, the left hand side of both equation is the same and is equal to y.
Since the left hand side of two equations is the same, we can conclude that the right hand side of two equations must also be the same.
So, setting them right hand sides of both equations equal to each other and solving for x, we can find the solution to the simultaneous equations.
Therefore, the correct answer is option B
