Answer:
3
Step-by-step explanation:
Solving the inequality gives ...
x/9 < 2/5
x < 18/5 . . . . multiply by 9
Applying the problem restrictions, we have ...
0 < x < 3.6 . . . . . x is an integer
Solutions are {1, 2, 3}. There are 3 distinct possible values for x.
Answer:
28 is the GCF
Step-by-step explanation:
What I know about GCF is that it's a greatest (G) common (C) factor (F). The GCF of 84 and 56 is 7142128; false.
56- 56, 28, 14, 8, 7, 4, 2, 1.
84- 84, 42, 28, 21, 14, 12, 7, 6, 4, 3, 2, 1.
Hope this helps. :)
Answer:
2y+12
Step-by-step explanation:
First you subtract 5 and 3 so that you can combine them. THen, you put the solution together.
Answer:
(-3, 2)
Step-by-step explanation:
{3x=7y=5
{5x-2y=-19
solve....
maybe it was 3x + 7y = 5
and 5x - 2y = -19
2*(3x + 7y = 5)
7*(5x - 2y = -19)
-------------
6x + 14y = 10
35x -14y = -133
41x = -123
x = -3
y = ...
5*(-3) - 2y = -19
-15 - 2y = -19
2y = 4
y = 2
(-3, 2)
Width of the rectangle is 12 cm.
Solution:
The length of a rectangle is 4 cm more than its width , and the area of the rectangle is 96 cm². Find the width of the rectangle.
Given data:
Let x be width of the rectangle.
Length of the rectangle = (x + 4) cm
Area of the rectangle = 96 cm²
length × breadth = 96
Subtract 96 from both sides.
Let us factor the polynomial.
Take x common in 1st two terms and -12 common in next two terms.
Now, take (x + 8) common in both terms.
x + 8 = 0 and x - 12 = 0
x = -8 and x = 12
Dimension cannot be in negative terms, so ignore x = -8.
Width = 12 cm
Width of the rectangle is 12 cm.
