Answer:
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Step-by-step explanation:
LET:
j = the points that Jessica scored
t = the points that Tina scored
Jessica scored 147 more points than Tina:
j = t + 1497
Together, Bradley and Harner scored 1601 points:
j + t = 1601
by solving the system of equations:
j = t + 147
j + t = 1601
we find
j = 856 points
t = 707 points
Jessica Bradley scored 856 point.
Tina Harner scored 707 points.
there are 18 pieces of dark chocolate and the ratio of dark and white is 3:2 so we can divide 18 by 3.
18/3 = 6.
This means the ratio of dark chocolate to white as a 1:1 ratio would be 6:6 so we can multiply 6 by 2 to give us the total amount of pieces of white chocolate.
6*2 = 12.
Therefore there are 12 white chocolate pieces.
Answer:
Since b^2 -4ac = 256 we have 2 real distinct root roots
Step-by-step explanation:
4x^2+12x=7
We need to subtract 7 to get it in the proper form
4x^2+12x-7=7-7
4x^2+12x-7=0
The discriminant is b^2 -4ac
when the equation is ax^2 +bx+c
so a =4 b=12 and c=-7
(12)^2 - 4(4)(-7)
144 +112
256
If b^2 -4ac > 0 we have 2 real distinct roots
If b^2 -4ac = 0 we have one real root
If b^2 -4ac < 0 we have two complex root
Since b^2 -4ac = 256 we have 2 real distinct root roots
The incorrect inequality is g > 80. The symbol ">" means greater than. So g > 80 would translate to meaning Kyle's grandmother is greater than 80. However, the problem states that his grandmother is not more than 80, meaning she is either 80 or younger. So the inequality should be g ≤ 80, or Kyle's grandmother is less than or equal to 80 years of age.
Answer:
151°
Step-by-step explanation:
Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.
