8 - {x - (5 + x)}
= 8 - {x - 5 - x}
= 8 + 5
= 13
Answer:
680 girls and 850 boys
Step-by-step explanation:
the ratio of girls is 4/9
then we can find the number of girls (G) in the group of 1530 students using proportions:
4 / 9 = G / 1530
solving for G by multiplying both sides of the proportion by 1530, we get:
G = 4 * 1530 / 9 = 680
So there were:
680 girls and 1530 - 680 = 850 boys
Answer:
A, or 
Step-by-step explanation:
Step two would've been
Which equals
If you need to siplify that radical, you should try to put all the numbers as product of prime factors.
922 = 2*461
2 and 461 are prime numbers. Then the transformation of the square root is √(922) = √(2*461) = (√2)(√461)
So you can use that in any expression to try to simpliy with other numbers whose prime factors include 2 and 461.
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case here : 1/5
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case that means y increases by 1 for every increase of x by 5.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
so, here the perpendicular slope is : -5/1 = -5
the line function looks therefore like
y = -5x + b
b is the y-intercept, and we get it by using the coordinates of the point for x and y :
-8 = -5×0 + b = b
so, the full line function is
y = -5x - 8
