Answer:
14 cases
Step-by-step explanation:
Let x be the number of personal injury cases this year by Gypsum Goode
x* 9/7 = 18
Multiply each side by 7/9
x * 9/7 *7/9 = 18 * 7/9
x = 14
Answer:
x = ¹⁰⁄₄,⁵⁄₂, or 2.5
Step-by-step explanation:
Given: 13 - 2(2x + 1) = 1
1. Distribute -2 through the parentheses:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 + (-2)(2x) + (-2)(1) = 1
13 - 4x - 2 = 1
2. Combine like terms:
⇒ 13 - 4x - 2 = 1
⟹ 11 - 4x = 1
3. Subtract 11 from both sides:
⇒ 11 - 11 - 4x = 1 - 11
⟹ -4x = -10
4. Divide both sides by -4:
⇒ -4x ÷ -4 = -10 ÷ -4
⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5
5. Check your work:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 - 2(2(2.5) + 1) = 1
⇒ 13 - 2(5 + 1) = 1
⇒ 13 - 2(6) = 1
⇒ 13 - 12 = 1
⟹ 1 = 1 ✔
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Solution is not extraneous, x=1 is correct answer
Step-by-step explanation:
We need to solve the equation
and find value of x.
Solving:

So. Value of x = 1
Now checking if solution is extraneous or not
Solution is extraneous if value of x doesn't satisfy the given equation.
Checking: putting x=1 in the equation 

Since x=1, verifies the given equation so, x=1 is not extraneous solution
Solution is not extraneous, x=1 is correct answer
Keywords: Solving equations and finding extraneous roots
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Answer:
Explanation:
49-20=29 blue counters
There’s a 29/49 chance that the counter will be blue
You solve for x
start by expanding the (3x-7)²
12 = 2(3x - 7)(3x - 7) + 4
12 = 2(9x² - 42x + 49) + 4
multiply the 2 through
12 = 18x² - 84x + 98 + 4
combine all like terms, set equal to zero
18x² - 84x + 102 - 12 = 0
18x² - 84x + 90 = 0
use the quadratic equation

Where
a = 18
b = -84
c = 90
then x = 3 and 5/3