Solve by elimination:
S = shirt
T= tie
3s+5t=60
2s+3t=39
=
Shirt = 15
Tie = 3
9514 1404 393
Answer:
8. A = {Delaware, New Jersey, Pennsylvania}
9. |B| = 3
Step-by-step explanation:
8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:
A = {Delaware, New Jersey, Pennsylvania}
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9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.
|B| = 3
Answer:
k = -1/240
Step-by-step explanation:
to evaluate the value of k in the expression 1/3k+80=1/2k+120
we have
1/3k+80=1/2k+120
collect the like terms for easy evaluation
1/3k - 1/2k = 120 -80
1/3k - 1/2k = 40
find the lcm
2 - 3/6k = 40
-1/ 6k = 40
cross multiply
6k x 40 = -1
240k = -1
divide both sides by 240
240k/240 = -1/ 240
k = -1/240
therefore the value of k in the expression 1/3k+80=1/2k+120 is equals to -1/240
Answer:
4.5×10^17 m²
Step-by-step explanation:
The radius is half the diameter, so we can make the substitution r=d/2 into the formula to get ...
A = 4πr² = 4π(d/2)² = πd²
Filling in the given values and doing the arithmetic gives ...
A = 3.14×(3.8×10^8 m)² = 45.3416×10^16 m²
A ≈ 4.5×10^17 m²
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We round to 2 significant digits because that is the precision of the given diameter.
