Dividing by 50 is the same as multiplying by 1/50, which is equivalent to 2/100.
The fraction 2/100 means we'll double 24000 to get 48000. Then remove 2 zeros at the end to get 480. The removal of two 0's is due to the division by 100.
Therefore, 24000/50 = 480
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Dividing by 5 will follow a similar pathway. We can multiply by 1/5 aka 2/10
24000/5 = 24000*(1/5) = 24000*(2/10) = 48000/10 = 4800
Notice the numerator doubled to 48000, and then we remove a zero at the end.
All of this can be done using pure mental math only. Each answer can be confirmed with a calculator.
Answer:
The top line has a slope of 1/2
The bottom line has a slope of - 1/4
B. Find the value of x and show your work.
Answer:
Complementary angle
Step-by-step explanation:
It adds up to 90 degrees
12.3 m
18.3 m
21.4 m
The length of AC is equal to 10.5m
Data;
To solve this problem, we have to apply trigonometric ratioSOHCAHTOA here;
Since we have the value of opposite side, angle and we are looking for the adjacent, we can use tangent of the angle to find AC
Let's substitute the values and solve for AC
From the calculations above, the length of AC is equal to 10.5m
Learn more on trigonometric ratio here;
Answer:
b = 1/2, -12.5
Step-by-step explanation:
13 = |2b+12|
Case 1:
13 = |2b+12|
13 = 2b + 12
1 = 2b
b = 1/2
Case 2:
13 = |2b+12|
13 = - (2b + 12)
13 = -2b - 12
25 = -2b
b = -12.5
So, the answer is b = 1/2 & -12.5
The product of two consecutive integers is 420 is 20 and 21.
Consider x one the two number
Then the successor of x = x + 1
Then x and x+1 are the consecutive numbers
Now according to the question,
The product of two consecutive integers is 420,
Then, multiply x and x+1 and equate it to 420
Therefore,
⇒ x(x+1) = 420
⇒ x² + x = 420
⇒ x² + x - 420 = 0
This is a quadratic equation
Now solve it to find the value of x
We can write it as,
⇒ x² + 21x - 20x - 420 = 0
⇒ x(x + 21) - 20(x + 21) = 0
⇒ (x+21)(x-20) = 0
⇒ x = 20 or x = -21
Since number should be an integer so - 21 is absurd.
Hence, consecutive numbers are,
20 and 21
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