The 10 1/3 written as the improper fraction31/3.
To convert the mixed number 10 1/3 into an improper fraction, follow these steps:
Multiply the whole number (10) by the denominator of the fraction (3):
10 × 3 = 30
Add the result from step 1 to the numerator of the fraction (1):
30 + 1 = 31
Place the result from step 2 over the original denominator (3) to form the improper fraction:
10 1/3 = 31/3
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Answer:
31/3
Step-by-step explanation:
Answer: y = -4/3x - 6
Step-by-step explanation: To write the equation in slope-intercept form, we need to solve for y.
Starting with the given equation: y - 2 = -4/3(x + 6)
First, distribute -4/3 to both terms within the parentheses: y - 2 = -4/3x - 8
Next, isolate y by adding 2 to both sides of the equation: y = -4/3x - 8 + 2
Simplifying further: y = -4/3x - 6
Therefore, the equation in slope-intercept form is y = -4/3x - 6.
would Mike pay for the bike, before taxes, once the
discount was applied?
A. $85.50
B. $199.50
C. $315.00
D. $370.50
Answer:
B
Step-by-step explanation:
285 × .30 = 85.50
285 - 85.50 = 199.50
5x - 6 = 4x + 8
Answer: (a - b)(a + b + 1)
a - b + a² - b²
= (a - b) + (a - b)(a + b)
= (a - b)(a + b + 1)
Step-by-step explanation:
The solution of the given inequality 12x - 3x + 11 > 4x - (17 - 9x) is x < 7
The given inequality is,
12x - 3x +11 > 4x - (17-9x)
Simplify the left-hand side of the inequality by combining like terms.
We can simplify 12x - 3x to get 9x, so our inequality becomes:
9x + 11 > 4x - (17 - 9x)
Next, we can simplify the expression inside the parentheses on the right-hand side of the inequality by distributing the negative sign:
9x + 11 > 4x - 17 + 9x
We can further simplify this by combining like terms on the right-hand side of the inequality:
9x + 11 > 13x - 17
Now, we can isolate the variable on one side of the inequality by subtracting 9x from both sides:
11 > 4x - 4x - 17
Add 17 to both sides to isolate the variable:
28 > 4x
Finally, we can solve for x by dividing both sides by 4:
x < 7
Therefore, the solution to the inequality 12x - 3x + 11 > 4x - (17 - 9x) is x < 7.
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Answer:
100
Step-by-step explanation:
First, write out the equation
y = 24x + 4
Then plug in x = 4 to solve for y
y = 24x + 4
y = (24)(4) + 4
y = 100