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Margarita [4]
2 years ago
13

12/5 divided by 21/10

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
6 0
Exact form is 8/7 , as a decimal its 1.142 and mixed number form its 1 1/7
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~**Will mark brainliest **~<br> For the correct answers to all three questions
aleksandr82 [10.1K]

a)

\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}

b)

\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}

c)

\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}

6 0
3 years ago
The width of a rectangle is 4 less than half the length. If L represents the length, what equation can be use to find the width,
strojnjashka [21]

Answer:

W = 1/2L - 4

Step-by-step explanation:

The width is 4 less than 1/2 of the length.

w = 1/2L - 4

6 0
2 years ago
Buyers are skeptical of a motorcycle advertisement that claims the newest model gets an average of 52 miles per gallon. They bel
Lana71 [14]

Answer:

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Step-by-step explanation:

We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.

This means the alternative hypothesis will have an average less than 52. Thus;

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

3 0
2 years ago
Solve for x: <br> (x+4)/2=7<br><br> * (x+4)/2 is a fraction *
blondinia [14]

Answer:

x=10

Step-by-step explanation:

So, we got our equation:

\frac{x+4}{2}=y

We'll multiply both sides by 2 to get rid of that fraction.

x+4=14

Then, we just subtract 4 from both sides.

x=10

6 0
3 years ago
What is the lateral area of a rectangular prism with a base length of 16 m, a base width of 8 m, and a height of 4 m?
creativ13 [48]
B. because you do 16*2*h + 8*2*h and you get 128 + 64 = 192
7 0
3 years ago
Read 2 more answers
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