Answer:
x = -10/3
Step-by-step explanation:
2/3x + 2/3 + 1/5x = 2/3x
Subtract 2/3x from each side
2/3x-2/3x + 2/3 + 1/5x = 2/3x-2/3x
2/3 + 1/5x = 0
Subtract 2/3 from each side
2/3 -2/3+ 1/5x =0- 2/3
1/5x = -2/3
Multiply each side by 5
5*1/5x = 5*-2/3
x = -10/3
Answer:
Domain: -9, 5, 6, 4 Range: 4, 5, -1,
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
A metal rod is 3/4 meters long. It will be cut into pieces that are each 1/48 meters long. How many pieces will be made from the rod?
let n = number of pieces the rod would be cut into
the following equation can be used to represent the question
3/4 x 1/n = 1/48
divide both sides of the equation by 3/4
1/n = 1/48 ÷ 3/4
1/n = 1/48 x 4/3 = 1/36
n = 36 rods
Answer:
65 mph
Step-by-step explanation:
To find the unit rate (miles per hour), we can use the equation
Where
r=rate (miles per hour)
d=distance (in miles)
t=time (in hours)
Using the given information, we can plug in
So, our equation is
When we divide 97.5 and 1.5, we get
So,
In conclusion, the rate (miles per hour) is 65 mph.
Answer:
The answer is z < -8. First of all, you use distributive property to get rid of the brackets. 3(z) = 3z and 3(1) = 3. The left side of the equation is now 3z + 3 + 11. Then, on the other side, -2(z) = -2z and -2(13) = -26. The right side of the equation is now -2z - 26. Then we combine like terms on the left side so we end up with 3z + 14 while the other side is still -2z - 26. We can put all of the z on the left side, so add 2z to both sides and then we have 5z + 14 < -26. We can put all of the “regular” numbers on the right side, so subtract 14 from each side and then we have 5z < -40. Divide each side by 5 and you end up with z < -8!
Step-by-step explanation: