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Sloan [31]
3 years ago
12

How do you write the equation?

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0
The number of hours she practices each day is unknown, so let's call it x.

She practices dancing x hours each day she goes to practice.
Since she practices 3 days per week, in a week she practices 3x hours.
In two weeks she practices 2(3x) hours, or 6x hours.

We are told she practices 12 hours in 2 weeks, so 6x must equal 12.

The equation is

6x = 12

We can solve it by dividing both sides by 6.

x = 2

She practices 2 hours per day.

Check:
2 hours per for 3 days = 2 * 3 hours = 6 hours in 1 week.
In 2 weeks, she practices 2 * 6 hours = 12 hours.
Our solution is correct.
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Should the quotient of an integer divided by a nonzero integer always be a rational number? Why or Why not?
lubasha [3.4K]
Yes, it will always be a rational number. I'll expound on this by defining what a rational number is. It is any number that can be expressed as a fraction. Otherwise, it is called an irrational number with a non-terminating decimal expansion. So, although 1/3 has a non-terminating decimal expansion because it is equal to 0.33333333...., it is still a rational number because it can be expressed into a fraction.
8 0
4 years ago
a bag contains 9 marbles: 4 green 3 are red and 2 are blue what is the probability that the first marble is red and the second o
Korolek [52]

Answer:

If the question states that they are not being replaced, then the answer is 1/8

If the question states that they are being replaced, then the answer is 1/9

Step-by-step explanation:

3/9 x 2/8 = 1/8

3/9 x 2/9 = 1/9

3 0
3 years ago
(-4, -7) and (-6, 9) in slope-intercept form. Show work
BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

y = mx+b

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

m = \frac{y_2-y_1}{x_2-x_1}

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8

Putting slope in general equation

y = -8x+b

Putting (-6,9) in the equation

9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39

Putting the value of b we get

y = -8x-39

Hence,

Equation of line in slope-intercept form is: y = -8x-39

5 0
3 years ago
How do you solve 8y=48 one step equation
ValentinkaMS [17]
Divide each side by 8

y=6
8 0
4 years ago
Read 2 more answers
Answer to be named brainliset get 25 pts and get a thank you
lisabon 2012 [21]

Answer:

The scale factor is .625 is false The scale factor 1.6 is true

Step-by-step explanation:

Since the triangle gets bigger the multiplication factor needs to be more than one to make the end result bigger

4 0
3 years ago
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