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vaieri [72.5K]
2 years ago
15

Determine which number is a solution of the equation. q divide 8 = 56

Mathematics
1 answer:
Wittaler [7]2 years ago
5 0

Answer: q = 56

Step-by-step explanation: First rewrite the problem to be \frac{q}{8} = 56

In this problem, notice that <em>q</em> is being divided by 8 so to get <em>q</em> by itself, we need to multiply both sides of the equation by 8.

Notice that on the left side the 8 and 8 cancel each other out so we're just left with <em>q</em>. On the right side, we have

56 x 8 which is 448 so <em>q = 448</em>.

Finally, we can check our answer by plugging a 488 back into the original equation. So we have \frac{(448)}{8} = 56 which is a true statement so our answer checks.

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zepelin [54]
For these questions it is asking you to convert different measurements.
For the first part,
You must convert 10 kilometres to meters
Or 500 meters to kilometres
For this example I will covert 500 meters to kilometres
1000 meters = 1 kilometer
So 500 meters is 0.5 kilometres or half a kilometer
So on the first day you ride 10 kilometres and increase by 0.5 kilometres a day that means you increase by 1 kilometer every two days
The question is asking how many days until you get to 15 kilometres well
15-10=5
5x2 =10 so the answer to the first part is 10 days

In the second part you have to convert again I am going to convert kilometres to meters this time
We know 1km = 1000m
So you times the kilometer by 1000 to get the meters
0.75 x 1000 = 750
So you start with 7500 and increase by 750 every day
The question asks you the total after 3 days so we must find out each day and add them up
1st day: 7500
2nd day: 7500+750=8250
3rd day: 8250+750=9000
Now we must add them together so
7500+8250+9000=24750
So the answer to this part is 24750 meters

The last part is asking you to compare the programs so let’s start with training program A
20-10=10
10x2= 20
So A is 20 days

Training program B:
We know from previous questions that on the third day you do 9000 meters so we must carry on from there
4th day: 9000+750=9750
5th day: 9750 +750=10500
6th day: 10500 + 750=11250
7th day: 11250 + 750 = 12000
As you can see there is a pattern here on the 3rd day we are on 9000 and on the 7th day we are on 12000 that means it has increased by 3000 in 4 days this is because 750 x 4 = 3000
This means we know 18000 is the 15th day
We will carry on from here
16th day: 18000+750=18750
17th day: 18760+750=19500
18th day: 19500+750=20250
Here we have gone over 200000 which is 20 km on the 18th day meaning training program B is quicker
8 0
2 years ago
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