Answer:
32cm
Step-by-step explanation:
Let the width be w. Now we know that the width is 16cm less than the length, this means that the length will thus have a total length of w + 16
Now, we know that the perimeter of a rectangle is 2(l + b)
This means 2(w + w + 16) = 160
4w + 32 = 160
4w = 128
w = 128/4 = 32cm
The error is in step 2. if you are performing an operation on one side of the equation, it must be performed on the entire expression. you can’t only divide by 2 on one term, you must do it to everything in the equation. instead, you could add 6 to both sides first, giving you 2x = -4. Then you can divide by 2 on both sides. the answer is -2.
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
Answer:
<em>2,136,605</em>
<em />
Step-by-step explanation:
To estimate growth, we use the formula shown below:

Where
F is the future amount (we want to find for Jan 2024)
P is the present amount (present population of 1,988,817)
r is the rate of growth (0.9% means 0.009)
t is the time in years (from Jan 2016 to Jan 2024 is 8 years, t = 8)
<em>Let's put these into the formula and figure out F:</em>
<em>
</em>
<em />
<em>Rounding we get the population in Jan 2024 to be </em><em>2,136,605</em>