Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4 + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
Answer:
Sam made it -24 versus 24 (29-5=24 not -24)
(Sam failed to flip the inequality)
Step-by-step explanation:
-4x + 5 > 29
Subtract 5 from each side
-4x+5-5 > 29-5
-4x > 24 Sam made it -24 versus 24 (29-5=24 not -24)
Divide by -4 Remember to flip the inequality
-4x/-4 < 24/-4 (Sam failed to flip the inequality)
x < -6
Answer:
<u>7</u><u>.</u><u>7</u><u> </u><u> </u>= <u>2</u><u>.</u><u>3</u>
3.6 b
<u>7</u><u>.</u><u>7b</u>= <u>8</u><u>.</u><u>28</u>
7.7 7.7
b = 1.075324675
b = 1.08
A) If the last digit in the fractional part of 1.080 is less than 5, then simply remove the last the digit of the fractional part. With 1.080, rule A applies and 1.08 rounded to the nearest hundredth is:
Answer:
Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:
7th graders that can play guitars are:
So, the probability is:
Let the number be n.
Then 3n+5 = n+40
Combining like terms, we get
2n = 35, and so n = 35/7, or 17 1/2.
