Hey there, Byanatwin2!
To solve this inequality, we need to isolate x, like any other equation or inequality.
So, to isolate x we need to divide both sides by
NOTE: We are dividing by a number less than 0, or a negative number so
the sign > will change to <
Now, to divide a fraction, we need to do the reciprocal and then multiply. The reciprocal of
is
Then, we multiply 8 times
and we get a total of -12
So the answer should be x < -12
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Answer:
4. x=10
5. x=15
6. x=20
7. x=4
Step-by-step explanation:
4. 50+4x=90
90-50=40
40/4=10
x=10
5. (2x+60)+6x=180
6x+2x=8x
8x+60=180
180-60=120
8x=120
120/8=15
x=15
6. 3x+30=90
90-30=60
60/3=20
x=20
7. (8x+120)+7x=180
8x+7x=15x
15x+120=180
180-120=60
15x=60
60/15=4
x=4
Inverse variation means y=k/x (direct variation is y=kx) so we can use the info given to find the constant k
y=k/x
6=k/900
k=6(900)
k=5400 so the equation is:
y=5400/x or more accurately for this problem
t(v)=5400/v then:
t(800)=5400/800
t(800)=6.75 hours
Answer:
x=2
Step-by-step explanation:
Perimeter of a square = 4*(side of the square)
28 = 4*(3x+1)
28 = 12x + 4
28- 4 = 12x
24 = 12x
x =2