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Aleks [24]
3 years ago
13

5/16 ÷ 5/12

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

1.) 3/4

2.) 44/5 or 8 4/5

3.) 17/6 or 2 5/6

Step-by-step explanation:

1.) 5/16 ÷ 5/12

To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:

5/16 × 12/5

5 × 12 / 16 × 5

Cancel out 5 since both numerator and denominator has it:

12 / 16

Divide both by 4:

12 ÷ 4 / 16 ÷ 4

3/4

2.) 3 1/5 • 2 3/4

You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:

3 1/5 = 3×5 + 1 = 16/5

2 3/4 = 2 × 4 + 3 = 11/4

Now you can multiply the numerator to numerator then denominator to denominator:

Since 16 is a factor of 4, you can cancel it out, which leaves 4:

16 / 5 × 11/4

4 × 11 / 5 × 1

44/ 5

3.) 6 3/8 ÷ 2 1/4

Convert to improper fraction:

6 3/8 = 6× 8 + 3 = 51/8

2 1/4 = 4 × 2 + 1 = 9/4

(51 × 4)/ (9×8)

51 × 1/ 9× 2

51 / 18

Divide by 3:

17/6

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A cube has an edge lengths of 5 cm. A rectangular prism has dimensions of 5 cm, 25 cm, and 1 cm. Which of the following statemen
murzikaleks [220]

The volume of cube and rectangular prism are same. Option B.

Step-by-step explanation:

Given,

The length of the edge of the cube (a) = 5 cm

The dimension of rectangular prism (l×b×h) = 5 cm×25 cm×1 cm

To find the relation between the volume of cube and rectangular prism.

Formula

The volume of a cube = a³ cube cm

The volume of rectangular prism = l×b×h cube cm

Now,

The volume of a cube = 5³ cube cm = 125 cube cm

The volume of rectangular prism = 5×25×1 cube cm = 125 cube cm

Hence,

The volume of cube and rectangular prism are same.

6 0
3 years ago
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My uncle bought a second-hand truck for $25400 and spent $600 to repair it. What is the CP?
alex41 [277]

Answer:

buy a used better tuck with the 25400 inside of buying the truvk that is broke or thst you to repair

Step-by-step explanation:

jus buy the better truck.

5 0
2 years ago
The sum of three numbers is 113 . The second number is 3 times the third. The first number is 7 less than the third . What are t
OLga [1]
Number 1 = 17
number 2 = 72
number 3 = 24


work:

the three numbers are symbolized as x, y, and z

x + y + z = 113

number 2 (y) is 3 times the third number (z) so 

y = 3z

so x + 3z + z = 113

the first number (x) is 7 less than than the third number (z) so

x = z - 7

so z -7 + 3z + z = 113

5z - 7 = 113
5z = 120

z = 24

x = 17
y = 72

Hope this helped :)
8 0
3 years ago
Trigonometry Problem <br><br> Find the length of the missing side.
Alinara [238K]

Answer:

29.187

Step-by-step explanation:

Cos38°= base/hypotenuse

Cos38°= 23/w

w= 23/Cos38°

w= 23/0.788

w= 29.187

Hope it helps :-)

6 0
3 years ago
Find solutions of -x^2+y^2=75
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Answer:yea yea

Step-by-step explanation:

7 0
3 years ago
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