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Vitek1552 [10]
3 years ago
12

A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli

fying
Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

\frac{ \frac{6}{5} }{ \frac{4}{5} }

This is the same as

\frac{6}{5}  \div  \frac{4}{5}

To divide two fractions, we multiply by the reciprocal of the second fraction.

\frac{6}{5}   \times   \frac{5}{4}

\frac{3}{1}   \times   \frac{1}{2}

This simplifies to:

\frac{3}{2}  = 1 \frac{1}{2}

The unit rate is 1.5 cords per hour

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Step-by-step explanation:

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3 years ago
If y is directly proportional to x and if y = 20 when x = 6, what is the value of y when x = 9 ?
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E - 30. From 6 to 9 is increase of 1.5times
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3 years ago
3)
hram777 [196]

Answer:

D: x < 20

Step-by-step explanation:

-4x + 16 > -64

subtract 16 from both sides because you must isolate x.

-4x + 16 - 16 > -64 - 16

-4x > -80

Then divide -4 on both sides... I believe that when you divide a number by a negative number you must flip the sign...

-4x/ -4 < -80/ -4

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(negative divided by a negative will result in a POSITIVE.)

Hope this helped... I truly apologize if this is wrong..

3 0
3 years ago
Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $6 for children. One hundred twenty-seven adu
Oxana [17]

x = number of adult tickets

y = number of children tickets

9x + 6y = 1053

x+y = 127 so x = 127 - y

replace x = 127 - y into 9x + 6y = 1053

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1143 -9y + 6y = 1053

-3y = 1053 -1143

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y = 30

x = 127 - 30

x = 97

answer: 97 adults and 30 children




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3 years ago
Which of the following is the sum of the polynomials 5x^2-4x+1 and -3x^2+x-3??
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5x^2-4x+1 + -3x^2+x-3= 2x^2-3x-2

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