4)
12/16=21/b
multiply both sides by b
(12/16)b=21
now multiple both sides by (16/12)
b = 21 (16/12) =28
5)
rate is distance / time or time/distance
train travels 279 km per 1.5 hr =270/1.5
or
1.5 hr per 270 =1.5/27p
answer choice a and c matches that.
looking at choice C...270km/1.5hr=5hr/270km
looking at choice A.. 1.5hr/270km=5hr/k km
the units don't match for choice C so the
right answer is A
6)
1.5/270=5/k
multiply both sides by k
(1.5/270)k=21
now multiple both sides by (270/1.5)
k = (270/1.5)21= 900
7) 75 points per 6 game
75 points / 6 games
75/6=P/20
multiply both sides by 20
(75/6)20=P
P=250
we are given

To find x-intercept means we have to find zeros
and for finding zeros , we will use quadratic formula
and we have it has two x-intercepts
so, it's discriminant must be greater than 0
so, we will find discriminant

now, we can compare with


and then we can find a , b and c

now, we can find D


It has two x-intercepts
so,

now, we can solve for m


............Answer
Answer:
$5 bill
Step-by-step explanation:
If Rhonda has $13 and she has a $5 bill and 3 $1 bills, then she has
5 + 3(1) + x = 13
5 + 3 + x = 13
8 + x = 13
x = 5.
The last bill must be a $5 bill to equal the remaining $5.
Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2