Answer:
What is the car's rate in kilometers per minute?
How many kilometers will the car travel in 5 minutes?
Step-by-step explanation:
If we know:
And there are 60 minutes in an hour:
We can do:
From here, we figure out the distance from minutes:
Step-by-step explanation:
We need to factorise 3x
2
−12xy
Here we can take 3x common.
Thus we have 3x
2
−12xy=3x(x−4y)
Hence, factors are 3x,(x−4y).
Answer:
<em> 1005 girls</em>
Step-by-step explanation:
From the question we are given ratio of boys to girls as 7 : 29
Total ratio will be 7 + 29 = 36
Total students in the school = 1248 students
Number of girls in the school = 29/36 * 1248
Number of girls in the school = 29 * 35
Number of girls in the school = 1005
<em>Hence the approximate total number of girls in the school is 1005 girls</em>
<em></em>
<em>Note that the ratio was assumed since we are not given in question</em>
First, define the area of a triangle: A = 1/2bh. Let A = 16, and since it’s a right triangle, the base and the height can easily be translated to its two legs. Let one leg = x, and the other = x + 4. So this would give you the equation: 16 = .5(x)(x+4). Distribute so 16 = .5x^2 + 2x. You might want to get rid of the decimal/fraction, so multiply everything by 2 and this would give you 32 = x^2 + 4x. Recognizing that this will be a quadratic equation let x = 0 and bring everything unto one side, so 0 = x^2 + 4x - 32. Factor. 0 = (x+8)(x-4). Since a leg cannot be negative, x can only equal 4. This means that one leg is 4 and the other is 8.
