1. 3x-5<19
3x-5+5<19+5
3x<24
3x/3<24/3
x<8
2. -2x+12<-4
-2x+12-12<-4-12
-2x<-16
-2x/-2>-16/-2
x>8
3. Because the numbers are positive when divided.
4. The inequality sign is reversed because the 2nd to last step is divided by by a negative number. (This is also the same for multiplication)
5. -7d+8>29
-7d+8-8>29-8
-7d/7>21/-7
d>-3
6.12-3b<9
12-12-3b<9-12
-3b/-3>-3/-3
b>1
7.z/7-6=>-5
z/7-6+6=>-5+6
z/7*7=>1*7
z=>7 (what grade are you in?!)
Look at the first line: y = (3/5)x - 3. What happens if you multiply each term by 5, to eliminate the fraction?
5y = 3x - 3
Compare this to the second equation,
5y - 3x = -10, or 5y = 3x - 10.
The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line. Since 5y = 3x is present in both equations, the two lines MUST be parallel.
y = 4
4y = 6 => y = 6/4
y+4 and y =3/2 are both horizontal lines. Since they are horiz., they are parallel.
Answer:5
Step-by-step explanation:
Answer:
56 m
Step-by-step explanation:
The area of a rectangle is found by multiplying length by width. since we already know the length, then we can just divide the total area by the length to find the width.
5432/97 = 56
and to check our work, make sure to multiply length by width.
97 * 56 = 5432
