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riadik2000 [5.3K]

3 years ago

11

24 out of the 96 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in the meeting wer

e first-year teachers?

2 answers:

Julli [10]3 years ago

4 0

Answer:

72%

Step-by-step explanation:

Mila [183]3 years ago

3 0

25%. 24/96= .25 = 25%

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The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72

Brut [27]

Answer:

The maximum number of songs that the symphonic choir can record is 14

Step-by-step explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

so

The inequality that represent this situation is

$3(7)+3.5(x)\leq 72$

solve for x

$21+3.5x\leq 72$

subtract 21 both sides

$3.5x\leq 51$

divide by 3.6 both sides

$x\leq 14.6\ songs$

therefore

The maximum number of songs that the symphonic choir can record is 14

3 0

3 years ago

I have a lot of questions to ask on mathematics...<br>so pls help so fast<br>thnx a lot...

melomori [17]

Answer:

WHAT DO YOU need help with

8 0

3 years ago

Pls help me, cause I don't understand one bit of it at all

topjm [15]

Answer:

I promise you this is easier than it looks, just bare with me.

You have to order these numbers from the smallest to the biggest. Now before we do this, we wanna make the fractions and mixed numbers decimals to make this easier.

5 8/11

Convert the fraction to a decimal: Divide the numerator by the denominator. (8 divide by 11).

Add this decimal number to the whole number part of the mixed number. (0.72 plus 5)

It would be 5.72

Now 57/10

The same steps as the last one, but since it isn't a mixed number you don't add anything. (57 divided by 10)

It would be 5.7

Now we have to order them from least to greatest. How do we figure that out? Well lets list the numbers that we have now:

5.72

5.7

5.67

5.726

Now since they all have the same whole number, we just have to look at the numbers after the decimal. Well the least number we have here is "7". Then it would be 67, then 72, then 726.

So the answer would be from least to greatest:

5.7

5.67

5.72

5.726

I hope this helps..sorry if I took so long I wanted to make sure I explained this as good as I can so you don't keep struggling. Good luck, take care <3

Have a good night/day (:! Much love!

8 0

3 years ago

A 140 kg camera is suspended by two wires over a 40 metre wide football field to get shots of the action from above. At one poin

Katen [24]

Answer:

Please red the answer below

Step-by-step explanation:

In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.

For the x component you have:

$T_1cos\theta_1-T_2cos\theta_2=0$ (1)

T1: tension of the first cable = 1500N

T2: tension of the second cable = 800N

θ1: angle between the horizontal and the first cable

θ2: angle between the horizontal and the first cable

For the y component you have:

$T_1sin\theta_1+T_2sin\theta_2-W=0$ (2)

W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N

You can squared both equations (1) and (2) and the sum the two equations:

$T_1^2cos^2\theta_1=T_2^2cos^2\theta_2\\\\T_1^2sin^2\theta_1=T_2^2sin^2\theta_2-2WT_2sin\theta_2+W^2$

Then, you sum the equations:

$T_1^2(cos^2\theta_1+sin^2\theta_1)=T_2^2(sin^2\theta_2+cos^2\theta_2)-2Wsin\theta_2+W^2$ (3)

Next, you use the following identity:

$sin^2\theta+cos^2\theta=1$

and you obtain in the equation (3):

$T_1^2=T_2^2-2WT_2sin\theta_2+W^2\\\\sin\theta_2=\frac{T_2^2-T_1^2+W^2}{2WT_2}=\frac{(800N)^2-(1500)^2+(1372N)^2}{2(800N)(1372N)}=0.066\\\\\theta_2=sin^{-1}0.066=27.23\°$

With this values you can calculate the value of the another angle, by using the equation (1):

$\theta_1=cos^{-1}(\frac{T_2cos(27.23\°)}{T_1})=cos^{-1}(\frac{(800N)(cos27.23\°)}{1500N})\\\\\theta_1=61.69\°$

Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:

$l_1cos\theta_1=40-d\\\\l_2cos\theta_2=d\\\\$

d: distance to the right side of the field

By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.

3 0

3 years ago

Need ASAP<br><br> Evaluate h^-2 g for h = 3 and g = 27.<br><br> 9<br> 3<br> 1/3

tangare [24]

Answer:

3

Step-by-step explanation:

h^-2 g

h= 3 and g = 27

(3) ^-2 (27)

1/3^2 (27)

1/9 *27

27/9

3

5 0

3 years ago