Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
Answer:
Step-by-step explanation:
1 multiplied by x is simply x. As x is a variable, in simplest form, 1 added to x is just 1+x.
<u><em>so the Final and one answer is 1+x</em></u>
To solve this using the vertical line test, graph the points then see if any of them fall on the same vertical line (vertical lines run up and down), or in other words, see if any point is right above another. If there are any like this, then the graph is not a function. To graph the points from a t-chart, use one x-value, and the y-value right next to (or above it) as one point. For example, the first x-value is -3 and the first y-value is -4. Put these together as the first point: (-3, -4).
Answer:
He has to buy 4 packages of hamburgers in packages of 30 and 5 packages of hamburgers in packages of 24
Step-by-step explanation:
First we have to calculate the least common multiple (LCM) of 24 and 30
We will calculate the LCM of 24 and 30 by prime factorization method
24 = 2*2*2*3 = 
30 = 2*3*5 = 
LCM = 
LCM = 120
So number of hamburger buns = 120
Therefore, he must buy 120/24 = 5 packages of hamburgers in packages of 24 and he must also buy 120/30 = 4 packages of hamburgers in packages of 30
Answer:
LN = 16
Step-by-step explanation:
MO bisects LN into two equal parts (If you see a triangle MNL, the line in the middle 5y - 8 is a median. This means x + 6 = 4x)
x + 6 = 4x
3x = 6
x = 2
Substitute x
LN = 2 + 6 + 8 = 16
LN = 16
Hope this helps :)
Have a nice day!
