Answer:
<h2>
x=2</h2>
Step-by-step explanation:
Isolate x
3x + 4x - 8 = 6
+8 +8
3x + 4x = 6 + 8
Simplify
3x + 4x = 6 + 8
7x = 14
Divide both sides by 7
7x/7 = 14/7
x = 2
Solve the inequality for x:
5x - 3 ≤ 7x +7
Subtract 7x from each side:
-2x -3 ≤ 7
Add 3 to each side:
-2x ≤ 10
Divide both sides by -2, also when dividing both sides of an inequality you flip the direction of the inequality sign:
x ≥ -5
The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.
The correct answer is D.
Answer:
Step-by-step explanation:
If you complete the square, you will add a right triangle with legs 10 - 6 = 4 ft.
<u>The area of the figure is:</u>
- A = 10² - 1/2*4*4 = 100 - 8 = 92 ft²
Multiply the hours worked by the wage,
5x25=125 7x20=140,
Add the two totals,
140+125=265,
Divide total made by hours worked,
$265/12=22.08 dollars an hour.
Answer:
(a) 
(b) 7 hours.
Step-by-step explanation:
(a) Let x be the number of hours and y is the total cost.
We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.
As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.
We can represent this information in an equation as:

Therefore, the equation
represents the total cost of using Beatrice’s babysitting service each day.
(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

Let us subtract 5 from both sides of our equation.


Let us divide both sides of our equation by 8.


Therefore, Beatrice babysit 7 hours the daughter.
Expression for part c is missing.