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Finger [1]
3 years ago
12

What is the answer to 3 1/2 - 2 1/8

Mathematics
2 answers:
PIT_PIT [208]3 years ago
6 0

Answer:

1\frac{3}{8}

Step-by-step explanation:

3\frac{1}{2} -2\frac{1}{8}

Subtract the whole numbers and the fractional parts of the mixed numbers separately.

(3-2)+( \frac{1}{2} - \frac{1}{8} )

Subtract the numbers

1 + ( \frac{1}{2} - \frac{1}{8} )

To add or subtract fractions you need the same denominator

Make the  \frac{1}{2}  into a  \frac{4}{8}  by multiplying the numerator and denominator by 4.

1 + ( \frac{4}{8} - \frac{1}{8} )

Subtract

Your answer should be:

1\frac{3}{8}

DerKrebs [107]3 years ago
4 0

Answer:

Exact form:\\\frac{11}{8} \\Decimal form:\\1.375\\Mixed number form:\\1\frac{3}{8}

Step-by-step explanation:

hope this helps

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A certain television is advertised as a 58-inch TV (the diagonal length). If the width of the TV is 42 inches, how many inches t
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Your answer will be 16

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3 years ago
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3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $
Mandarinka [93]

Answer:

8 movies and 6 video games

<em></em>

Step-by-step explanation:

Given

Gift\ Card = \$600

Movies =\ $20

Video\ Game = \$50

Minimum\ Items = 13

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

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Option 2: 14 movies and 7 video games

Cost = 14 * \$20 + 7 * \$50

Cost = \$280 + \$350

Cost = \$630

<em>This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.</em>

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Option 3: 2 movies and 10 video games

<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>

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Option 4: 8 movies and 6 video games

Cost = 8 * \$20 + 6 * \$50

Cost = \$160 + \$300

Cost = \$460

Hence, the correct option is <em>8 movies and 6 video games </em>

4 0
2 years ago
The perimeter of square is 76 cm find are of square ​
Varvara68 [4.7K]

Answer:

Given the information above, the area of the square is 361 cm²

Step-by-step explanation:

A square is a shape with four equal sides. So, in order to find the area of the square, we must find the length of each individual side. We can do this by dividing the perimeter by 4 because a square has 4 equal sides meaning they have the same lengths.

The perimeter of the square is 76. So, let's divide 76 by 4.

76 ÷ 4 = 19

So, the lengths of each sides in the square is 19cm.

In order to find the area, we must multiply the length and the width together. Since a square has equal sides, then we will multiply 19 by 19 to get the area.

19 × 19 = 361

So, the area of the square is 361 cm²

3 0
3 years ago
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What is the solution to this system of equations?
Maurinko [17]

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

A graphing calculator provides a quick and easy way to find the solution.

_____

There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:

The intercepts of the first equation are ...

  • x-intercept = 26/4 = 6 1/2
  • y-intercept = -26/3 = -8 2/3

So the graph of it will form a triangle with the axes in the 4th quadrant.

The intercepts of the second equation are ...

  • x-intercept = 11/3 = 3 2/3
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So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.

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3 0
3 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
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Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

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Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
2 years ago
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