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Evgen [1.6K]
3 years ago
11

There are 24 pencils in a box. each student in a class gets 6 pencils. there are no pencils left over. how many students are in

the class?
Mathematics
1 answer:
Talja [164]3 years ago
5 0
24/6=4 students

Pencils divided by how many each receive
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The perimeter of a rectangular painting is 344 centimeters. If the width of the painting is 79 centimeters, what is its width?
WINSTONCH [101]

Answer:

the equation is 2(l+w) so we do 2(93+w)=344 getting the answer of 79

Step-by-step explanation:

i think im 100 percent correct i took the test on flvs if I'm wrong just let me know

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Us matrix method to solve the<br>3y+2x=13<br>2y+3x=0​
svlad2 [7]

Answer:

13

Step-by-step explanation:

3y+2x=13

2y+3x=0

∴3y+2x+2y+3x=13+0

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Find two numbers such that one number is 3 less than twice as big as the other number and the two numbers sum to 21.
Hitman42 [59]

Answer:

The two numbers are:

8 and 13

Step-by-step explanation:

a = 2b - 3       Eq. 1

a + b = 21        Eq. 2

Replacing Eq. 1 in Eq. 2:

(2b-3) + b = 21

3b - 3 = 21

3b = 21 + 3

3b = 24

b = 24/3

b = 8

from Eq. 1

a = 2*8 - 3

a = 16 - 3

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Check:

From Eq. 2:

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8 0
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What is the area, in square centimeters, of the figure below? *
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Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)
USPshnik [31]

First, expand the terms inside the bracket you will get

(( \tan {}^{2} (x)  + 2 \tan(x)  \sin(x)  +  \sin {}^{2} (x)  - ( \tan {}^{2} (x)  - 2 \tan(x)  +  \sin {}^{2} (x) ) {}^{2}  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

( 4 \tan(x)  \sin(x) ) {}^{2}  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x)  \sin {}^{2} (x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x) (1 -  \cos {}^{2} (x) ) = 16 (\tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16( \tan {}^{2} (x)  -   \frac{  \sin {}^{2} (x) \cos {}^{2} ( {x}^{} )  }{ \cos {}^{2} (x) }

16( \tan {}^{2} (x)  -  \sin {}^{2} (x) ) = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

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5 0
2 years ago
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