1st worker produced x pants,
2nd worker produced (x+8) pants.
x+x+8=86
2x=78
x= 39
x+8 = 39+8 = 47
1st worker produced 39 pants,
2nd worker produced 47 pants.
A valid proportion would be 3/4=21/28.
You would multiply both the 3 & 4 is 3/4 by 7 to get 21/28.
Hope this helps!
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A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.
“Or” indicates that, as long as either statement is true, the entire compound sentence is true.
Now as shown in the graph, the solution inequality of the graph is :
x > 3 and x < 5 [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]
Now let's solve each option to find if it fits in with the above inequality
Option 1 : 2x-4 > 6 or 3x < 9
⇒ x > 5 or x < 3
Option 2 : 2x - 4 < 6 and 3x > 9
⇒ x < 5 and x > 3
Option 3 : 3x + 8 > -7 or -4x < 12
⇒ 3x > -15 or x < -3
⇒ x > -5 or x < -3
Option 4 : 3x + 8 < -7 and -4x > 12
⇒ 3x < -15 and x > -3
⇒ x < -5 and x > -3
So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9
has its solution set on the graph.
Answer:
The correct option is C
Step-by-step explanation:
The given equation is:
y ≥ 2x - 3
For x= 2
y = 2(2) - 3 = 1
For x=0
y = 2(0) - 3 = -3
WE have two point:
(2,1) and (0,-3)
Graph both points on the coordinate plane.
Join both points and extend the line to find the graph of the line y = 2x - 3
To find the area the represents y ≥ 2x - 3, consider any point, suppose (0,0)
Substitute (0,0) into y ≥ 2x - 3
0 ≥ 2(0) - 3
0 ≥ -3
Hence the equation satisfies.
Which means the area which has the point (0 , 0) shows the region for the equation y ≥ 2x - 3.
The graph is shown.
The formula to find the area of a circle is 2 x r^2
so 2 x 13^2 = 338
