Answer:
$4.50 for French Roast
$7.60 for Columbian
Step-by-step explanation:
tried substitution and elimination method but got different answers to I graphed these equations and found the point of intersection
5/3x + 25/8y = 31.25
29/12x + 9/16y = 15.15
point of intersection (4.5, 7.6)
10i since i=√-1 and 10=√100
There are 52 weeks in a year, so 52x represents how much she earns in a year.
Answer as a fraction: AB = 127/13 (exact)
Answer in decimal form: AB = 9.76923 (approximate)
Sides AC and BC are the same length as AB.
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Work Shown:
AB = (3/2)x+4
AC = (1/5)x+9
These sides are equal to each other since all sides of an equilateral triangle are the same length.
AB = AC
(3/2)x+4 = (1/5)x+9
10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below
10*(3/2)x + 10*4 = 10*(1/5)x + 10*9
15x + 40 = 2x + 90
15x-2x = 90-40
13x = 50
x = 50/13
Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.
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Once we know what x is, we plug it into the expression for AB
AB = (3/2)x+4
AB = (3/2)*(50/13) + 4
AB = (3*50)/(2*13) + 4
AB = (3*2*25)/(2*13) + 4
AB = (3*25)/(13) + 4
AB = 75/13 + 4
AB = 75/13 + 52/13
AB = (75+52)/13
AB = 127/13 which is exact
AB = 9.76923 which is approximate
Because we have an equilateral triangle, AB = BC = AC.
Answer:
2/3p - 3/4 = 2/10
2/3p = 38/40
p = 57/40 = 1 17/40
Step-by-step explanation:
