Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
-4x + 6 = 3x - 36
Step 2: Solve for <em>x</em>
- Add 4x to both sides: 6 = 7x - 36
- Add 36 to both sides: 42 = 7x
- Divide both sides by 7: x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-4(6) + 6 = 3(6) - 36
-24 + 6 = 18 - 36
-18 = -18
Y = -6.
-2(7)-2y=-2
-14-2y=-2
you need to move -14 to the other side by canceling out -14 with +14, and add +14 to -2, giving you -2y=12. -2/12=-6
Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
Expanding, you get:
And moving the 35 to the other side, you get a simple quadratic.
Solving by factoring:
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
Answer:
C
Step-by-step explanation:
Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.
From the first part of the question, we already know the distances in the first 5 minutes.
Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;
Mathematically; Total distance = average speed * time
From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.
That would be 5/60 = 1/12 hours
So the total distance in the second 5 minutes is;
33 * 1/12 = 2.75 km
Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;
That would be;
68 + 127 + 208 + 312 + 535 = 1,250 m
Let’s convert this to km.
We simply divide by 1000 = 1250/1000 = 1.25 km
The total distance is thus ;
1.25 + 2.75 = 4 km
What you have written down is correct, x=-3
