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Kitty [74]
2 years ago
5

A mechanic has sockets with sizes shown below. Write each fraction in the correct box.​

Mathematics
1 answer:
notsponge [240]2 years ago
5 0

Missing Details:

Write each fraction in the correct box.

1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in

Less than: 1/2inch,

Equal to: 1/2inch

Greater than: 1/2inch

Answer:

Less than: 1/2inch---> 1/8 in

Equal to: 1/2inch ---> 8/16 in

Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in

Step-by-step explanation:

Given

Sizes: 1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in

Required

Match the size with the correct inequalities

Convert 1/2in to decimal

\frac{1}{2}\ in = 0.5\ in

Next, we convert each size to decimal and compare the decimal equivalent to 0.5in

Convert 1/8in to decimal

\frac{1}{8}\ in = 0.125\ in

<em>0.125 is less than 0.5in</em>

Convert 5/8in to decimal

\frac{5}{8}\ in = 0.625\ in

<em>0.625 is greater than 0.5in</em>

Convert 8/16in to decimal

\frac{8}{16}\ in = 0.5\ in

<em>0.5 is equal to 0.5in</em>

Convert 9/16in to decimal

\frac{9}{16}\ in = 0.5625\ in

<em>0.5625 is greater than 0.5in</em>

Convert 15/16in to decimal

\frac{15}{16}\ in = 0.9375\ in

<em>0.9375 is greater than 0.5in</em>

Convert 5/6in to decimal

\frac{5}{6}\ in = 0.833\ in

<em>0.833 is greater than 0.5in</em>

So, we have:

<em>Less than: 1/2inch---> 1/8 in</em>

<em>Equal to: 1/2inch ---> 8/16 in</em>

<em>Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in</em>

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<em><u>Solution:</u></em>

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T = cx + k ------ (i)

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<em><u>Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain</u></em>

Given, when c = 6 thousand ft and T = 76^{\circ} fahrenheit

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Where "x" is in thousands of feet

Thus the required linear equation is found

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