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2 years ago

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

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

0.125 is less than 0.5in

Convert 5/8in to decimal

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

0.625 is greater than 0.5in

Convert 8/16in to decimal

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

0.5 is equal to 0.5in

Convert 9/16in to decimal

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

0.5625 is greater than 0.5in

Convert 15/16in to decimal

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

0.9375 is greater than 0.5in

Convert 5/6in to decimal

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

0.833 is greater than 0.5in

So, we have:

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

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3 years ago

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koban [17]

So whole numbers include the negative numbers, the zero and the positive numbers.
We will examine each category,

1- For the negative numbers:
multiplying a negative number by a positive value will result is a negative value (negative values are less than positive values of course). Therefore, multiplying any negative number by 400 will give a negative value which will make the desired statement false.

2- For the zero:
multiplying any number by a zero will give a result of zero which is again less than positive numbers. So, if we multiply 400 by a zero, the result will be zero which will again make the desired statement false.

3- For positive numbers:
multiplying two positive numbers will result in a positive value. Since 400 is already greater than 15, therefore, multiplying 400 by any positive value will keep the statement true. Since we are looking for the smallest whole number, therefore, we will choose that number to be 1 which will give 400 when multiplied by 400 (this is the smallest possible value).

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3 years ago

In the figure, angle K measures 45 degrees. What is the measurement of angle C?

Delvig [45]

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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vfiekz [6]

Answer:

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Step-by-step explanation:

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3 years ago

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

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