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nataly862011 [7]

3 years ago

6

At a certain middle school, there are 26 students per teacher in every homeroom. Is the total number of students proportional to

the number of teachers

1 answer:

Verizon [17]3 years ago

6 0

Yes, because there is a corresponding amount of teachers per student.

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Hi I really need help with this question please,

Mrrafil [7]

Answer:

${ ( \sqrt{30 - x} )}^{2} = {x}^{2} \\ 30 - x = {x}^{2} \\ \\ {x}^{2} + x - 30 = 0 \\ delta = 1 - 4 \times ( - 30) \times 1 = 121 \\ x1 = \frac{ - 1 + \sqrt{121} }{2 \times 1} = \frac{ - 1 + 11}{2} = 5 \\ x2 = \frac{ - 1 - \sqrt{121} }{2 \times 1} = \frac{ - 1 - 11}{2} = - 6 \\$

6 0

2 years ago

If y varies inversely as x, find the constant of variation if y=36 when x=9

Jobisdone [24]

Answer:

k = 324

Step-by-step explanation:

Y varies inversely as x

Let k be the constant of variation

Y = k/ x

Y= 36 and x= 9

Substitute the value of Y and x

36 = k/9

Make k the subject of the formula

k= 36*9

k =324

5 0

3 years ago

Pls help I will give brainlest 22, 18, 14, 10, ...

natima [27]

I just did this my bad bro

4 0

2 years ago

Find the value of the lesser root of x 2-8x+7=0

mariarad [96]

Hi there! The answer is x = 1

${x}^{2} - 8x + 7 = 0$

$(x - 7)(x - 1)$
Rule AB = 0, gives A = 0 or B = 0

$x - 7 = 0 \: \: or \: \: x - 1 = 0 \\ x = 7 \: \: \: \: \: \: \: \: \: or \: \: x = 1$
Therefore, the smallest of both roots is x = 1.

7 0

3 years ago

Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma

levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = $\dfrac{1}{4}$

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = $\dfrac{1}{2}$

Let 't' be the time taken by both of them working together , then we have the following equation:-

$\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}$

Since 1 hour = 60 minutes

Then, $\dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}$

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

8 0

3 years ago