So the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4? let's see.

you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4 and stop there.
then you'll notice that 12/24 is really 2/4 in disguise.
If Mike is willing to pay no more than an effective rate of 8.000% annually, the loans that meet his criteria are loan X and loan Z. Of those two, the lowest would be loan X. I hope the answer will help you :)
Slope intercept form is y=MX+b.
M is the slope, x is the x intercept, and b is the y intercept
the slope is

An intercept is where the formula crosses the axis. therefore, the x intercept is .5, and the y intercept is 1
so the point slope formula is
Answer:

Step-by-step explanation:
we are given a quadratic function

we want to figure out the minimum value of the function
to do so we need to figure out the minimum value of x in the case we can consider the following formula:

the given function is in the standard form i.e

so we acquire:
thus substitute:

simplify multiplication:

simply division:

plug in the value of minimum x to the given function:

simplify square:

simplify multiplication:

simplify:

hence,
the minimum value of the function is -155
Answer:
There are 101 marbles in each bag and 10 marbles left over
Step-by-step explanation:
We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.
1525 % 15 = 10 marbles are left over
Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains
1515 / 15 = 101 marbles