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Diano4ka-milaya [45]
3 years ago
10

Betty can mow a lawn in 20 minutes. Bullwinkle can mow the same lawn in 60 minutes. How long does it take for both Betty and Bul

lwinkle to mow the lawn if they are working together? Express your answer as a reduced fraction.
Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

  15 minutes

Step-by-step explanation:

Betty mows at 3 times the speed that Bullwinkle does, so is equivalent to having 3 Bullwinkles in her place. That makes the lawn get mowed as though 4 Bullwinkles were working, so it will take 1/4 the time it takes Bullwinkle to mow the whole yard. 1/4 of 60 minutes is 15 minutes.

Working together, Betty and Bullwinkle will take 15 minutes to mow the lawn.

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If a card is chosen at random from a pack of 52 playing cards, what is the probability of a Queen or a Club?
bonufazy [111]
The answer is b because you have 4 queens in a deck of cards and 13 clubs in a deck so if you add them you would get 17/52 cards
6 0
3 years ago
Least common denomiator of 7/9 and 11/6​
Over [174]

9514 1404 393

Answer:

  18

Step-by-step explanation:

The least common denominator (LCD) is the least common multiple (LCM) of the denominators.

Here, the denominators are ...

  9 = 3·3

  6 = 3·2

So, their LCM is 3·3·2 = 18.

The least common denominator of the given fractions is 18.

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  7/9 = 14/18

  11/6 = 33/18

4 0
3 years ago
8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal
Goshia [24]

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0
2 years ago
What is 2 times 8/10???​
antiseptic1488 [7]

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<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>

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5 0
2 years ago
Read 2 more answers
Which expression is equivalent to 5x+10y-15?
Papessa [141]

Answer:

Step-by-step explanation:

I think it's 5(x+2y-3)

5 0
2 years ago
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