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Blizzard [7]
3 years ago
11

During the past school year, there were 640 students and 52 teachers. What is the ratio of students to each teacher rounded to t

he nearest tenth? a. 3:4
c. 1:3
b. 4:3
d. 3:1
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
The answer in here is d. 3:1. The reason is founded on the following basic calculation: <span>640/52=12.307. After doing the proportion you will see that he ratio is 3:1. Hope this is useful for you</span>
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Solve this system of equations. <br><br> 12x − 18y = 27 <br> 4x − 6y = 10
kifflom [539]

Answer:

no solution

Step-by-step explanation:

12x − 18y = 27  

4x − 6y = 10

Multiply the second equation by -3 so we can eliminate x

-3(4x − 6y) = 10*-3

-12x +18y = -30

Add the first equation to this new equation

12x − 18y = 27

-12x +18y = -30

------------------------

0 = -3

This is not a true equation, so there is no solution


7 0
2 years ago
What is 10x34 please hurry the teacher i coming to collect the paper
Alexus [3.1K]

Answer:340

Step-by-step explanation:

8 0
2 years ago
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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

<u>Step-by-step explanation:</u>

Here we have , cosxtanx - 2 cos^2 x=-1. Let's solve :

⇒  cosxtanx - 2 cos^2 x=-1

⇒  cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1

⇒  sinx = 2 cos^2 x-1

⇒  sinx = 2 (1-sin^2x)-1

⇒  sinx = 1-2sin^2x

⇒  2sin^2x+sinx-1=0

By quadratic formula :

⇒ sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}

⇒ sinx = \frac{-1 \pm3}{4}

⇒ sinx = \frac{1}{2} , sinx =-1

⇒ sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}

⇒ x=\frac{\pi}{6} , x=\frac{3\pi}{2}

But at x=\frac{3\pi}{2} we have equation undefined as cos\frac{3\pi}{2}=0 . Hence only solution is :

⇒ x=\frac{\pi}{6}

Since , sin(\pi -x)=sinx

⇒ x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}

Now , General Solution is given by :

⇒ x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6}

Therefore , Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

3 0
3 years ago
Use a model to divide. 1/2÷7 . What is the answer 2/7 1/14 14 3 1/2?
shutvik [7]

Answer:

1/14 i think

Step-by-step explanation:

7 0
3 years ago
Angle 3 and angle 4 are supplementary angles. Angle 3 is 88. What is the measure of angle 4?
Mademuasel [1]
Since angles 3 and 4 are supplementary, they add up to 180 degrees.

Angle 3 is 88 degrees.

To get the measure of the last angle, let's subtract 88 from 180.

180 - 88 = 92

Thus, Angle 4 has a measure of 92 degrees.

Have an awesome day! :)
7 0
2 years ago
Read 2 more answers
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