The values of x are x = -0.77 and x = 3.27
<h3>How to determine the value of x?</h3>
To calculate the value of x. we start by using the following equivalent ratio
2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5
Evaluate the like terms
2x : (5 + x) = x + 0.5 : x + 1.5
Express the ratio as a fraction
2x/5 + x = x + 0.5/x + 1.5
Cross multiply
2x(x + 1.5) = (5 + x)(x + 0.5)
Open the brackets
2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x
Evaluate the like terms
x^2 - 2.5x - 2.5 = 0
Using a graphing calculator, we have
x = -0.77 and x = 3.27
Hence, the values of x are x = -0.77 and x = 3.27
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Answer:
y = 50
Step-by-step explanation:
Firstly, let's make an equation. We know that when y is 15, x is 3. Or, in other words, y is 5 times what x is. Therefore we can use the equation, y = 5x.
Now, just plug x into the equation.
y = 5(10)
y = 50
60.
The question gives you the fact that 6 bricks is 2 feet high.
What do you do to get from 2 to 20?
You multiply by 10.
Since you multiplied one thing by 10, you must do it to the other side so it remains balanced.
2 ft x 10ft = 20ft
6 bricks x 10 bricks = 60 bricks
Answer:
34.134%
68.268%
Step-by-step explanation:
Given that:
Mean (m) = 500
Standard deviation (s) = 100
Percentage between 500 and 600
P(500 < x < 600)
P(x < 600) - P(x < 500)
Z = (x - m) / s
P(x < 600)
Z = (600 - 500) /100 = 1
P(x < 500)
Z = (500 - 500) / 500 = 0
P(Z< 1) - P(Z < 0)
0.84134 - 0.5
= 0.34134
= 0.34134 * 100%
= 34.134%
B.) Between 400 and 600
P(x < 400)
Z = (400 - 500) /100 = - 1
P(x < 600)
Z = (600 - 500) / 500 = 1
P(Z< 1 ) - P(Z < - 1)
0.84134 - 0.15866
= 0.68268
= 0.68268 * 100%
= 68.268%
Answer: try multiplication for the answer or use photomath
Step-by-step explanation: