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3 years ago

What is the rational number that is equivalent to a -24 / -6

Mathematics

1 answer:

saw5 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

hi! let's divide -24 and -6 to simplify this. this is the same answer as 24/6 since two negatives that are divided by each other equal a positive number, and 24 divided by 6 is 4, so the answer is 4.

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How do you solve 3 1/4 - 1 5/6

rjkz [21]

Answer:

to solve $3\frac{1}{4} -1\frac{5}{6}$ you would first need to convert them from mixed numbers to improper fractions. You can do this by multiplying the denominator with the whole number and then adding the numerator. Then you should make sure that the denominators are the same. You can do this by first finding a number that they will both multiply into. In this example it is 12. And when changing the denominator you must apply it to the numerator. So if you multiplied the denominator by 3 then you must multiply the numerator by 3. After you can just minus the numerators. However remember to keep the denominator the same. Then you can change it back into a mixed number by dividing the numerator by the denominator and having that whole number on the side of the fraction . lets say it is $\frac{13}{6}$ then you would divide 13 by 6 which is 2 and a decimal and then minus the number that is multiplied by the numerator and it will give a number that is smaller than the denominator and then it would become $2\frac{1}{6}$ .

Step-by-step explanation:

1) Change the fractions to improper fractions.

$\frac{13}{4} -\frac{11}{6}$

2) Change the denominator to a common denominator.

$\frac{39}{12} -\frac{22}{12}$

3) Minus the Numerators.

$\frac{39}{12} -\frac{22}{12}=\frac{17}{12}$

4) Changing it to a mixed number

$=1\frac{5}{12}$

6 0

3 years ago

Read 2 more answers

A 18 foot ladder is leaning against a wall as shown

Inga [223]

I'm guessing the diagram shows a ladder leaning against a wall, making a right angle triangle with respect to the ground and the wall.

So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle ϴ which is made from the ladder and the ground.
The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.

Now, once you've sorted out which side is which, we have to find the h (opp), and according to SOH CAH TOA, we will choose Sinϴ = opp/hyp.
so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get h = 18 x sinϴ.

To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ = sin-1 (sin inverse) h/18

Hope this helps

6 0

3 years ago

On the grid, sketch a graph to represent

Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;

$\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}$

The plot of the above point is completed using MS Excel as shown in the attached diagram.

7 0

2 years ago

76° 135° 81° X X = please help mee

jekas [21]

Answer:

68º

Step-by-step explanation:

This is a quadrilateral and all degrees in every quadrilateral have to add up to 360º.

81º + 135º + 76º = 292º

360º - 292º = 68º

Therefore, x = 68º

6 0

2 years ago

You arrive at a bus stop at 1:00, knowing that the bus will arrive at some time uniformly distributed between 1:00 and 1:30. a)

Likurg_2 [28]

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute

7 0

3 years ago