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KiRa [710]
3 years ago
8

Please need help quickly

Mathematics
1 answer:
Natali [406]3 years ago
4 0

1. \frac{1}{6}x=4  Multiply 6 on both sides

(6)\frac{1}{6}x = 4(6)

x = 24    [to check it, you can plug 24 in for x in the equation, and do the same for 1-9]


2. \frac{5}{6}n = 15   Multiply 6/5 on both sides

(\frac{6}{5} )\frac{5}{6}x=15(\frac{6}{5})

x = \frac{90}{5}

x = 18


3. \frac{2}{3}d=\frac{14}{15}   Multiply 3/2 on both sides

(\frac{3}{2} )\frac{2}{3}d=\frac{14}{15}(\frac{3}{2})

d=\frac{42}{30}

d=\frac{7}{5}


4. \frac{3}{4}w=\frac{21}{30} Multiply 4/3 on both sides

(\frac{4}{3})\frac{3}{4}w=\frac{21}{30}(\frac{4}{3})

w = \frac{84}{90}

w=\frac{14}{15}


5. \frac{3}{5}t=12 Multiply 5/3 on both sides

(\frac{5}{3})\frac{3}{5}t = 12(\frac{5}{3})

t=\frac{60}{3}

t = 20


6. \frac{1}{8}a=\frac{1}{3}   Multiply 8/1 or 8 on both sides

(8)\frac{1}{8}a=\frac{1}{3}(8)

a=\frac{8}{3}


7. -\frac{1}{6}x = -5 Multiply -6/1 or -6 on both sides

(-6)-\frac{1}{6} x = -5(-6)

x = 30


8. \frac{9}{4} r=-\frac{27}{32} Multiply 4/9 on both sides

(\frac{4}{9})\frac{9}{4} r=-\frac{27}{32} (\frac{4}{9})

r=-\frac{108}{288}

r=-\frac{3}{8}


9. -\frac{2}{5} m=4 Multiply -5/2 on both sides

(-\frac{5}{2})-\frac{2}{5}m=4(-\frac{5}{2} )

m = -10

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Answer: y ≥ (3/5)*x - 3

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In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)

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As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.

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