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Phantasy [73]
3 years ago
8

What is the answer to 2 3/8 ÷ 1 1/4

Mathematics
2 answers:
OLEGan [10]3 years ago
7 0
2\frac{3}{8} ÷ 1\frac{1}{4} equals 1\frac{9}{10}.

First, convert 2 \frac{3}{8} to improper fraction. Use this rule: a \frac{b}{c} = \frac{ac+b}{c}. Your problem should look like: \frac{2x8+3}{8} ÷ 1\frac{1}{4}.
Second, simplify 2 x 8 to get 16. Your problem should look like: \frac{16+3}{8} ÷ 1 \frac{1}{4}.
Third, simplify 16 + 3 to get 19. Your problem should look like: \frac{19}{8} ÷ 1 \frac{1}{4}.
Fourth, convert 1\frac{1}{4} to improper fraction. Use the same rule as earlier. Your problem should look like: \frac{19}{8} ÷ \frac{4+1}{4}.
Fifth, simplify 4 + 1 to get 5. Your problem should look like: \frac{19}{8} ÷ \frac{5}{4}.
Sixth, apply this rule: a ÷ \frac{b}{c} = a × \frac{c}{b}. Your problem should look like: \frac{19}{8} × \frac{4}{5}.
Seventh, apply this rule: \frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}. Your problem should look like: \frac{19x4}{8x5}.
Eighth, simplify 19 × 4 to get 76. Your problem should look like: \frac{76}{8x5}.
Ninth, simplify 8 × 5 to get 40. Your problem should look like: \frac{76}{40}.
Tenth, simplify. Your problem should look like: \frac{19}{10}.
Eleventh, convert to mixed fraction. Your problem should look like: 1 \frac{9}{10} which is the answer.

Answer as mixed number form: 1\frac{9}{10}.
Answer as exact form: \frac{19}{10}.
Answer as decimal form: 1.9.


antiseptic1488 [7]3 years ago
5 0
((2 3/8)/11)/4 and that would equal 0.053977272
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3 years ago
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worty [1.4K]

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Step-by-step explanation:

Let x be the unknown number.

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3 years ago
Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 2x + 5.
ipn [44]

Answer:

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

Step-by-step explanation:

The east edge cannot intersect with the west edge means that two lines are parallel.

If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.

Slope of west edge.

y = 2x + 5

The standard equation for slope intercept form is:

y = mx+b

where m is the slope. So, m= 2

Now finding line for east edge.

Option 1.

Convert each given equation to standard slope intercept form and find the slope.

2x -y =96

-y = -2x +96

Multiply with -1

y = 2x -96

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Option 2.

-2x -y = 96

-y = 2x +96

y = -2x-96

m = -2

Option 3

-y-2x =48

-y = 2x +48

y = -2x -48

m = -2

Option 4.

y+2x = 48

y = -2x+48

m = -2

So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

7 0
3 years ago
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8 0
2 years ago
A man standing near a building notices trhat the angle of elevation to the top of the buiilding is 64. he then walks 240 feet fa
trasher [3.6K]
See the picture attached to better understand the problem
 we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1

in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2

equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft

AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft

the answer is
410.51 ft

3 0
3 years ago
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