Carl has a rock collection. Of the rocks, 3/8 are quartz and 1/3 are granite. What fraction of Carl's rocks are quartz or granit
1 answer:
Answer:
<em>of Carl's rocks are quartz or granite</em>
Step-by-step explanation:
<u>Proportions and Fractions </u>
A proportion is expressed as a fraction a/b, where a and b are compared by division. If a=b, the proportion (or ratio) equals 1, if a<b, the ratio is less than 1, and if a>b, the ratio is greater than 1. The proportion of elements of a set to the total number of elements of the set is less than one, and the sum of all them equals 1.
We know 3/8 of Carl's rock collection are quartz and 1/3 are granite. If both subsets of rocks are mutually exclusive or disjoint (cannot happen simultaneously), then the proportion of both is the sum of the fractions.
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This is how you solve it and the at the bottom is the prime fractorization.
Answer:
x ≥ 6; see below for a graph
Step-by-step explanation:
First inequality
7x -6 > 8
7x > 14 . . . . . . add 6
x > 2 . . . . . . . .divide by 7
Second inequality
3x+4 ≥ 22
3x ≥ 18 . . . . . . subtract 4
x ≥ 6 . . . . . . . . divide by 3
The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)
The solution to the inequalities is x ≥ 6.
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Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.
