The number of 11-inch softball is 70 and the number of 12-inch softball is 50.
<u>Step-by-step explanation</u>:
<u>Given that,</u>
- The cost of 11-inch softball = $2.50
- The cost of 12-inch softball = $3.50
<u>Let us assume,</u>
- The number of 11-inch softball be 'x'.
- The number of 12-inch softball be 'y'.
<u>Forming the equation to solve x and y values :</u>
- The total number of softball ordered = 120
- The total cost for 120 softballs = $350
x + y = 120 -------(1)
2.5x + 3.5y = 350 --------(2)
<u>Multiply eq(1) by 2.5 and subtract eq(2) from eq(1)</u>,
2.5x +2.5y = 300
-<u>(2.5x +3.5y = 350)</u>
<u> -1y = -50</u>
Therefore the value of y = 50.
The number of 12-inch softball is 50.
<u>Substitute y=50 in eq(1),</u>
x+50 = 120
x = 120-50
x = 70
The number of 11-inch softball is 70.
Answer:
Below
Step-by-step explanation:
● 3 ( -x +2x - 1) = x - 1
● 3 ( -x -1 ) = x - 1
● -3x -3 = x - 1
Add -x to both sides
● -3x -3 - x = x -1 -x
● -4x -3 = -1
Add 3 to both sides
● -4x - 3 + 3 = -1 + 3
● -4x = 2
Divide both sides by -4
● -4x/-4 = 2/-4
● x = -1/2
Answer:
<h3>
x = 1/2</h3>
Step-by-step explanation:
-3x + 1 + 10x = x + 4
-1 -1
7x = x + 3
-x -x
6x = 3
÷6 ÷6
x = 1/2
We have that
y=-2x+3
y=(1/3)x-4
using a graph tool
see the attached figure
the solution of the system is the point (3,-3)
<h2>
Answer:</h2>
<u>By supplementary angle property</u>,
x + 78° = 180°
x = 180° - 78°
<u>x = 102°.</u>
