The given expressions are :
Firstly, we will draw figure
Let's assume
length of AC=x
we have
AB : BC = 2 : 1
so,
Point D is on line AB
and
AD : DB = 3 : 2
so, we get
now, we can locate these values
Firstly, we will find DC
DC=DB+BC
now, we can plug values
we have got
now, we can find ratio
now, we can simplify it
so,
AD:DC=2:3...........Answer
Answer:
First One = 0.000045 Second One = 0.024
Step-by-step explanation:
When 10 has a negative power, move the decimal to the right the number of times the power is. For example, 10^-5 is moved 5 places to the LEFT, so it is 0.000045.
Answer:
Step-by-step explanation:
What this question is asking of you is what is the greatest common divisor of 12 and 15. Or, what is the biggest number that divides both 12 and 15.
in order to find this we have to split each number into it's prime components.
for 12 they are 2,2 and 3 (
2
⋅
2
⋅
3
=
12
)
and for 15 they are 3 and 5 (
3
⋅
5
=
15
)
Out of those two groups (2,2,3) and (3,5) the only thing in common is 3, so 3 is the greatest common divisor. That tells us that the greatest number of groups that can exist and have the same number of girls and the same number of boys for each group is 3.
Now to find out how many girls and boys there are going to be in each group we divide the totals by 3, so:
12
3
=
4
girls per group, and
15
3
=
5
boys per group.
(just as a thought exercise, if there were 16 boys, the divisors would have been (2,2,3) and (2,2,2,2), leaving us with 4 groups [
2
⋅
2
] of 3 girls [12/4] and 4 boys [16/4] )
Please note that in the original problem you have horizontal division symbols:
4 1 3
--- x - ---- = -----
5 10 10
On the other hand, you have typed <span>4/5x-1/10=3/10. To avoid ambiguity you must enclose the fractions inside parentheses:
</span><span>(4/5)x- (1/10) = (3/10). Otherwise, your reader will not know for sure whether you meant 4 / (5x) or (4/5)x.
</span><span>After you've typed in these parentheses, your next task is to mult. all the terms of this equation by 10, to remove the fractions. Result:
8x - 1 = 3, or 8x = 4, or x = 1/2 (answer)</span>
