Answer:
The value of x is -29.
Step-by-step explanation:
We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.
![\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}](https://tex.z-dn.net/?f=%5Ctext%7B7x%20-%205%20%3D%208%28x%20%2B%203%29%20%5C%20%5C%20%5C%20Distribute%20the%208%20throughout%20the%20parentheses.%7D%5C%5C%5Ctext%7B7x%20-%205%20%3D%208x%20%2B%2024%20%5C%20%5C%20%5C%20%5C%20Subtract%207x%20from%20both%20sides.%7D%5C%5C%5Ctext%7B-5%20%3D%20x%20%2B%2024%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20Flip%20the%20equation.%7D%5C%5C%5Ctext%7Bx%20%2B%2024%20%3D%20-5%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20Subtract%2024%20from%20both%20sides.%7D%5C%5C%5Csmall%5Cboxed%7B%5Cbold%7B%7Bx%20%3D%20-29%7D%7D%7D)
Now that we have solved for x, we can plug in -29 to see if we get a true statement.
![\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark](https://tex.z-dn.net/?f=%5Ctext%7B7%28-29%29%20-%205%20%3D%208%28-29%20%2B%203%29%7D%5C%5C%5Ctext%7B-203%20-%205%20%3D%20-232%20%2B%2024%7D%5C%5C%5Ctext%7B-208%20%3D%20-208%7D%20%5C%20%5Ccheckmark)
Because we ended up with a true statement, we have determined that the value of x is -29.
Answer:
9/4, 3/2, 1, 7/8, 5/8
Step-by-step explanation:
Answer:
I am not sure I am so so so sorry My friend
The cost of gas bill including VAT is 379.26.
<h3>What is VAT?</h3>
Value-Added Tax (VAT) is a tax, which is payable on sales of goods or services within the territory of the Member States of the EU.
Given:
Cost of the gas before the VAT was added was £361.20.
VAT = 5%
Thus, cost of bill including VAT is
=361.20.*1.05
=379.26.
Learn more about VAT here:
brainly.com/question/20628016
#SPJ1
Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45