Answer:
<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>
Step-by-step explanation:
1. For solving the question and understand which of the statements matches with the solution, let's proceed with the equation:
2x − 4 = 20
2x - 4 + 4 = 20 + 4 (Adding 4 at both sides)
2x = 24
2x/2 = 24/2 (Dividing by 2 at both sides)
x = 12
<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>
Answer:
angle2=23°
angle7=angle5
angle2=angle6
so,angle8=23°
total angle = 180°
angle7=180°-46°=134°÷2=67°
The cost of one drink is $2.50 and cost of one popcorn is $3.75
<u><em>Explanation</em></u>
Suppose, the cost of one drink is
dollar and cost of one popcorn is
dollar.
Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75
So, the system of equations will be......

Multiplying equation (1) by -3 , we will get.....

Now, adding equation (2) and equation (3) , we will get ............

Plugging this
into equation (1) ......

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75
4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?
314 boys + 310 girls = 624
If they are grouped into classes of 26 students each, how many class will there be?
130 students = 5 classes
Therefore
260 students = 10 classes
260 x 2 = 520 = 20 classes
26 x 24 = 624
Number of classes = 24
Question 5).
Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?
Solution:
48 weeks
24hrs × 7 = 168hrs
168 x 48 = 8,064
Additional 240hrs
= 168hrs = 7 days (a week)
240hrs - 168 = 72 (3days)
168 + 72
= 240hrs + 8, 064
= 8, 304 hrs
Recall that the formula for the perimeter of a rectangle is: 2Length+2Width
With this in mind, we have that the original design is 96×60, where 90 is length and 60 is width, so it would simply be:
2(96+l) + 2 (60+w) = New Perimeter
Or simplified, it'd be:
2l + 2w + 312 = New Perimeter