Step-by-step explanation:
First, let x represent this unknown number because we are using an equation to solve this. Note that 'of' means multiplication.
First we cross out to get;
30 = 
Then we multiply both sides of the equation by 3
90 = 2x
Now since we want x to stand alone, we divide both sides by 2
45 = x
So the answer is 45
<u>Second Problem</u>
First we find how far Ken jumps.
1 ÷ 5 = 0.2. If this is attached to the one it means Ken jumped 1.2 metres.
To find how much further Steve jumped, we just have to subtract Ken's distance from Steve's distance.
1.5 - 1.2 = 0.3 metres
This means Steve jumped 0.3 metres further than Ken.
Answer:
x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer
Step-by-step explanation:
Solve for x over the real numbers:
4 x^2 - 16 x + 8 = 0
Hint: | Write the quadratic equation in standard form.
Divide both sides by 4:
x^2 - 4 x + 2 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 2 from both sides:
x^2 - 4 x = -2
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Hint: | Factor the left-hand side.
Write the left-hand side as a square:
(x - 2)^2 = 2
Hint: | Eliminate the exponent on the left-hand side.
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Hint: | Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Hint: | Look at the second equation: Solve for x.
Add 2 to both sides:
Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)
Answer:
(6,0)
Step-by-step explanation:
If the y-coordinate is 0, it is lying on the x-axis
Same with the x-coordinate. If it is 0, it is lying on the y-axis
Answer:
-3c-2d^(2)e^(101)-3
Step-by-step explanation:
17.5% of 50 = 0.175×50 = 8.75
= 8 3/4
= 35/4
