Answer:
x = 5
z =2
y =4.4
Step-by-step explanation:
y varies directly as x
y = kx
and inversely as z
y = kx/z
Putting in the numbers in the first line of the table, we can solve for k
13.75 = k * 25/4
Multiply by 4
13.75*4 = 25k
55 =25k
Divide by 25
55/25 = 25k/25
2.2 = k
Now we can fill in the table
y = 2.2 x/z
Row 2 we need to find x
1 = 2.2 x/11
Multiply by 11
11 = 2.2 x
Divide by 2.2
11/2.2 = 2.2x
5 =x
Row 3 we need to find z
18.7 = 2.2 *17/z
18.7 = 37.4 /z
Multiply by z
18.7z = 37.4
Divide by 18.7
18.7/18.7z = 37.4/18.8
z =2
Row 4 we need to find y
y = 2.2 *10/5
y = 22/5
y =4.4
I think it’s a because the lines kinda looks perfect but I might be wrong.
The segments shown below could form a triangle.
True.
Answer:
x =147
Step-by-step explanation:
The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)
42+(-124+x) =360-(2x+1)
Combine like terms
x-82 =359-2x
Add 2x to each side
x-82+2x = 359
3x -82 = 359
Add 82 to each side
3x-82+82 = 359+82
3x = 441
Divide by 3
3x/3=441/3
x =441/3 or 147
Answer:
He bought 6 chairs and 10 tables.
Step-by-step explanation:
x+y = 16
he spent = $1800
1 chair = $50
y chairs = $50y
1 table = $150
x chairs = $150x
so, 150x+50y = 1800
we got two equations :
x+ y = 16
150x+50y = 1800
Using. substitution method,
x+y = 16
so, x = 16-y
Now
150x+50y =1800
or, 150(16-y) + 50y = 1800
or, 2400-150y+50y = 1800
or, 2400-1800 = 150y-50y
or, 600=100y
so, y = 6
now,
x+y = 16
or, x + 6 = 16
so, x = 10