Since dimes + quarters = 22
And dimes are 0.10 cents as quarters = 0.25 cents
Let’s make d = dime, q = quarter
d + q = 22
0.10d + 0.25q = 4.00
Let’s use substitution
d + q = 22, get d or q by itself
d = 22 - q (plug into second equation)
0.10(22-q) + 0.25q = 4
2.2 - 0.10q + 0.25q = 4
2.2 + 0.15q = 4
0.15q = 1.8, q = 12
Since there are 12 quarters you know there are 10 dimes (22 in total)
Solution: 10 dimes, 12 quarters
Answer:
multiply or divide both quantities by the same number
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions
Answer:
<h2> The centroid is always between the orthocenter and the circumcenter. The distance between the centroid and the orthocenter is always twice the distance between the centroid and the circumcenter. In obtuse triangles, the circumcenter is always outside the triangle opposite the largest....</h2>
Answer:
A
Step-by-step explanation:
3x^2 - 8x + 4 = 0
x= [-b +or- square root (b^2 - 4ac)] ÷ 2a
= [-(-8) +or- square root (-8)^2 - 4(3)(4)] ÷ 2(3)
= [8 +or- square root 16] ÷ 6
= 2 or 2/3
Answer:
(x -2) is a factor
Step-by-step explanation:
The factor theorem tells you that (x-2) is a factor of g(x) if g(2) = 0.
g(2) = 2·2³ -5·2² +2 +2 = 16 -20 +2 +2 = 0
Since g(2) = 0, (x -2) is a factor of g(x).
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The graph shows us the complete factorization is ...
g(x) = (2x +1)(x -1)(x -2)
