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Tamiku [17]
3 years ago
6

Ana can finish a certain job in 10 hours. Together, Ana and Nina can finish the same job in 3 hours. How many hours can Nina fin

ish the job alone?
Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:   4.5 hours

<u>Step-by-step explanation:</u>

Ana: \dfrac{1}{10}\ \text{job per hour}\\\\Nina: \dfrac{1}{x}\ \text{job per hour}\\\\Together: \dfrac{1}{3}\ \text{job per hour}\\\\\\Ana + Nina = Together\\\dfrac{1}{10}\quad +\dfrac{1}{x}\quad =\quad \dfrac{1}{3}\\\\\\\dfrac{1}{10}(30x)+\dfrac{1}{x}(30x) =\dfrac{1}{3}(30x)\\\\\\\rightarrow\quad 3x+30=10x\\\\.\quad 3x+30=10x\\\underline{-3x\qquad \quad -3x\quad}\\.\qquad \quad 30=7x\\\\.\qquad \quad \dfrac{30}{7}=\dfrac{7x}{7}\\\\\\.\qquad \quad \dfrac{30}{7}=x

.\qquad \quad 4.5=x

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A rectangular floor is 7 yards long and 3 yards wide. what is the area of the floor in square feet? be sure to include the corre
mario62 [17]
There are a couple ways to do this, but basically you need to convert the units. 

<span>7 yards x 3 ft/yard = 21 feet </span>
<span>4 yards x 3 ft/yard = 12 feet </span>
<span>So the area (in sq. ft) will be: </span>
<span>21 x 12 </span>
<span>= 252 sq. ft. </span>

<span>Alternatively, you can figure the area in square *yards* and then multiply by 9 sq. ft per sq. yard. </span>
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4 0
3 years ago
Help me with my math ASAP!!!!
almond37 [142]

Answer:

f = 78

g = 3.5

Step-by-step explanation:

First we need to find f.

We can use the equation 72 + (f + 30) = 180 to solve for f.

We can then change that equation to 72 + f + 30 = 180, since the Commutative Property of Addition says that you can have any addition in any order.

Now, we can solve the equation.

102 + f = 180\\(102 - 102) + f = 180 - 102\\f = 78

Now that we solved f, we can now solve for g.

Since 25 equals 8g -3, we can solve the equation 8g - 3 = 25.

Here is how you solve it:

8g - 3 = 25\\8g + (-3 + 3) = 25 + 3\\8g = 28\\g = \frac{28}{8}

Since \frac{28}{8} equals 3.5, which is the simplest form, that is the answer.

Hope this helps, and please mark me brainliest! :)

3 0
3 years ago
Liam is going on a vacation to Australia. His flight leaves at 3:15 P.M. It takes 1 hour and 35 minutes to get to the airport, a
Leni [432]

Answer:

12:40 is the anwser

Step-by-step explanation:

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2:15 minus 35 minutes is 1:40

so now he wants to be and hour and 35 minutes earlier so the anwser would be

2:15 minus 1 hour is 1:15

1:15 minus 35 minutes is 12:40

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belka [17]
It would either be 21 or 25 as they both have the same amount of factors :)
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3 years ago
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Mamont248 [21]

Answer:

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Step-by-step explanation:

6 0
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