All 100 targets have a solution.
\(1 = 79^{5 - 5 }\)
\(2 = 59 - 57 \)
\(3 = \sqrt{95 + 5} - 7 \)
\(4 = \sqrt{75 - 59 }\)
\(5 = \frac{ \frac{ 75 }{ 5 } }{ \sqrt{9 } }\)
\(6 = \frac{ 75 }{ 5 } - 9 \)
\(7 = \frac{ 5! - 57 }{ 9 }\)
\(8 = 7 \cdot 9 - 55 \)
\(9 = ( 5 - 5 ) \cdot 7 + 9 \)
\(10 = 7^{5 - 5} + 9 \)
\(11 = \sqrt{\frac{ 5! }{ 5 } + 97 }\)
\(12 = 57 - 5 \cdot 9 \)
\(13 = ( 9 - 5 ) \cdot 5 - 7 \)
\(14 = \frac{ 57 }{ \sqrt{9} } - 5 \)
\(15 = \sqrt{55 + 9} + 7 \)
\(16 = 75 - 59 \)
\(17 = \sqrt{95 + 5} + 7 \)
\(18 = \frac{ 75 }{ 5 } + \sqrt{9 }\)
\(19 = ( 7 - 5 ) \cdot 5 + 9 \)
\(20 = 95 - 75 \)
\(21 = 5 \cdot 7 - 5 - 9 \)
\(22 = 5^{7 - 5} - \sqrt{9 }\)
\(23 = 5 \cdot 5 + 7 - 9 \)
\(24 = 79 - 55 \)
\(25 = 5^{\frac{ 5 + 9 }{ 7 }}\)
\(26 = \frac{ 95 }{ 5 } + 7 \)
\(27 = ( 5 + 5 - 7 ) \cdot 9 \)
\(28 = 5! - 97 + 5 \)
\(29 = 5 \cdot 5 + 7 - \sqrt{9 }\)
\(30 = 75 - 5 \cdot 9 \)
\(31 = 5 \cdot 7 + 5 - 9 \)
\(32 = 5! - 95 + 7 \)
\(33 = 57 - ( 9 - 5 )!\)
\(34 = 55 - 7 \cdot \sqrt{9 }\)
\(35 = 755 - \sqrt{9 }!!\)
\(36 = 5! - 75 - 9 \)
\(37 = ( 9 - 7 )^{5} + 5 \)
\(38 = 95 - 57 \)
\(39 = 55 - 7 - 9 \)
\(40 = \frac{ 5! }{ 5 } + 7 + 9 \)
\(41 = 5 \cdot 5 + 7 + 9 \)
\(42 = 97 - 55 \)
\(43 = 57 - 5 - 9 \)
\(44 = \sqrt{5 \cdot 5} \cdot 7 + 9 \)
\(45 = 55 - 7 - \sqrt{9 }\)
\(46 = 5! - 79 + 5 \)
\(47 = 59 - 5 - 7 \)
\(48 = ( 5 + 7 ) \cdot ( 9 - 5 )\)
\(49 = 57 - 5 - \sqrt{9 }\)
\(50 = 5^{\sqrt{9}} - 75 \)
\(51 = 55 - 7 + \sqrt{9 }\)
\(52 = \sqrt{5 \cdot 5} \cdot 9 + 7 \)
\(53 = 55 + 7 - 9 \)
\(54 = 79 - 5 \cdot 5 \)
\(55 = \sqrt{55^{9 - 7 }}\)
\(56 = \sqrt{55 + 9} \cdot 7 \)
\(57 = 55 - 7 + 9 \)
\(58 = 57 - 5 + \sqrt{9 }!\)
\(59 = 55 + 7 - \sqrt{9 }\)
\(60 = 95 - 5 \cdot 7 \)
\(61 = 57 - 5 + 9 \)
\(62 = 7 \cdot 9 - \frac{ 5 }{ 5 }\)
\(63 = ( 5 - 5 + 7 ) \cdot 9 \)
\(64 = \frac{ 5 }{ 5 } + 7 \cdot 9 \)
\(65 = 55 + 7 + \sqrt{9 }\)
\(66 = 5! - 57 + \sqrt{9 }\)
\(67 = 75 - 5 - \sqrt{9 }\)
\(68 = 5^{\sqrt{9}} - 57 \)
\(69 = 79 - 5 - 5 \)
\(70 = \sqrt{95 + 5} \cdot 7 \)
\(71 = 55 + 7 + 9 \)
\(72 = 97 - 5 \cdot 5 \)
\(73 = 75 - 5 + \sqrt{9 }\)
\(74 = 79 - \sqrt{5 \cdot 5 }\)
\(75 = ( 7 + 9 ) \cdot 5 - 5 \)
\(76 = 7 \cdot \sqrt{9} + 55 \)
\(77 = 75 + 5 - \sqrt{9 }\)
\(78 = 79 - \frac{ 5 }{ 5 }\)
\(79 = 75 - 5 + 9 \)
\(80 = \frac{ 5 }{ 5 } + 79 \)
\(81 = ( 9 - 5 )! + 57 \)
\(82 = 5 \cdot 5 \cdot \sqrt{9} + 7 \)
\(83 = 95 - 5 - 7 \)
\(84 = \sqrt{5 \cdot 5} + 79 \)
\(85 = \frac{ 595 }{ 7 }\)
\(86 = 9^{7 - 5} + 5 \)
\(87 = 97 - 5 - 5 \)
\(88 = 5 \cdot 5 + 7 \cdot 9 \)
\(89 = 75 + 5 + 9 \)
\(90 = 5 \cdot \sqrt{9} + 75 \)
\(91 = ( 5 + 5 + \sqrt{9} ) \cdot 7 \)
\(92 = 97 - \sqrt{5 \cdot 5 }\)
\(93 = 95 + 5 - 7 \)
\(94 = 5 \cdot 7 + 59 \)
\(95 = \frac{ 57 \cdot 5 }{ \sqrt{9 } }\)
\(96 = 97 - \frac{ 5 }{ 5 }\)
\(97 = 95 - 5 + 7 \)
\(98 = \frac{ 5 }{ 5 } + 97 \)
\(99 = ( 9 - 5 )! + 75 \)
\(100 = ( 5 + 5 )^{9 - 7 }\)