Answer:
327 children and 318 adults
Step-by-step explanation:
The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:
x+y=645
1.75x+2.50y=1367.25
Move y to the other side in the first equation to isolate x and solve the system using substitution:
x=645-y
1.75(645-y)+2.50y=1367.25
Distribute
1128.75-1.75y+2.50y=1367.25
1128.75+0.75y=1367.25
Subtract 1128.75 from both sides
0.75y=238.5
Divide both sides by 0.75
y=318
x=645-y
x=645-318
x=327
327 children and 318 adults swam at the pool that day
Answer:
5.4 in.
Step-by-step explanation:
Figuring out the area of shapes like these are quite simple, you first have to break apart this shape to make solving this easier. If you draw a line and break off the triangle from the square you will get 2 different shapes. A square with all the sides being 2 inches, and a triangle that is 2 inches tall and 1.4 inches across (you subtract 3.4 by 2). Next you just use the equation (2 * 2) + ((1.4 * 2)/2). Multiply 2 by 2 (which is 4) and you get the area of the square (you multiply the base by the width). And for the triangle you multiple 1.4 by 2 (you get 2.8)... But because it's a triangle you have to divide that number by 2 since the triangle is half of a square. So 2.8 / 2 is going to be 1.4. After that you now have the equation 4 + 1.4 and the answer is going to be 5.4.
Option A, it’s the base times the height
Answer:
50
Step-by-step explanation:
12x + 15 = 5x + 85 {Subtract 15 from both sides}
12x + 15 - 15 = 5x + 85 - 15
12x = 5x + 70 {Subtract 5x from both sides}
12x - 5x = 70
7x = 70 {Divide both sides by 7}
x = 70/7
x = 10
∠U = 5x = 5*10 = 50
Given:
The compound inequality is:
To find:
The solution for x.
Solution:
We have,
To solve the inequality, we need to isolate the variable x.
Subtracting 3 from each side, we get
The solution for x is . Therefore, the correct option is C.
