Answer:
x = -4
Step-by-step explanation:
2x + 9 (x-1) = 8(2x + 2) -5
2x + 9x - 9 = 16x + 16 - 5
11x - 9 = 16x +11
-9 = 5x +11
-20= 5x
x= -4
Answer:
It's 6. AND BRAINLY STOP DELETING MY POST IT'S RELATED TO SCHOOL!!
Step-by-step explanation: 6
To simplify 12/18, you can see that the greatest common factor is 6 (6 × 2 = 12, 3 × 6 = 18), and so you can divide by 6 to get D. 2/3 as your answer.
I'm pretty sure you could just select the answer to not show your working :)
I hope this helps!
Answer:
$962.00
Step-by-step explanation:
We can start from the first sentence of the word problem and work from there.
First, the employee is working for 40 hours at $18.50 per hour. This means that for each hour, the employee is gaining $18.50 . This can be represented as $18.50 * 40 = $740 for their base pay.
Next, the employee works 8 hours of overtime at 1.5 * base pay (18.50). For each hour of overtime they work, they earn 1.5 * 18.50 = $27.75 dollars. Their earnings from overtime work for the week can be represented as
8 * 27.75 = $222
Because all the employee's hours are encompassed in overtime and base pay, we can add the two together to get
740 + 222 = $962.00 for their total pay for the week
Answer:
The solution to the inequality is:
![\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B5%3E10%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%3E15%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%2815%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
The solution graph is also attached below.
Step-by-step explanation:
Given
We are given the expression
![\frac{1}{3}x+5>10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B5%3E10)
To determine
Solve for x
Given the expression
![\frac{1}{3}x+5>10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B5%3E10)
Subtract 5 from both sides
![\frac{1}{3}x+5-5>10-5](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B5-5%3E10-5)
Simplify
![\frac{1}{3}x>5](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%3E5)
Multiply both sides by 3
![3\cdot \frac{1}{3}x>5\cdot \:3](https://tex.z-dn.net/?f=3%5Ccdot%20%5Cfrac%7B1%7D%7B3%7Dx%3E5%5Ccdot%20%5C%3A3)
Simplify
![x>15](https://tex.z-dn.net/?f=x%3E15)
Thus, we conclude that:
![x>15](https://tex.z-dn.net/?f=x%3E15)
Therefore, the solution to the inequality is:
![\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B5%3E10%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%3E15%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%2815%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
The solution graph is also attached below.