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densk [106]
3 years ago
15

The ratio of pencils to erasers is 4:1 if there are 208 pencils,how many erasers are there?

Mathematics
1 answer:
Neko [114]3 years ago
7 0

Answer:

52

Step-by-step explanation:

for every 4 pencils there is 1 eraser.  4/1=208/x

4x=208

x=52

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The left line I need help please
fgiga [73]
Try using Photomath for some it’s easy and faster than waiting for people to respond on here i can help u when I’m done w this test with the left side if ur still stuck
5 0
3 years ago
Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3
dezoksy [38]

Answer:

Step-by-step explanation:

4/x + 4/(x²-9) = 3/(x - 3) 

4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 )  / * x ( x - 3 ) ( x + 3 )

Restrictions : x ≠ 0,  x ≠ - 3 ,  x ≠ 3;

4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )

4 ( x² - 9 ) + 4 x = 3 x² + 9 x

4 x² - 36 + 4 x - 3 x² - 9 x = 0

x² - 5 x - 36 = 0

x² - 9 x + 4 x - 36 = 0

x ( x - 9 ) + 4 ( x - 9 ) = 0

( x - 9 ) ( x + 4 ) = 0

x - 9 = 0,  or : x + 4 = 0

Answer:

x = 9,  x = - 4

4 0
3 years ago
The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>
  • Let the coordinate of A be (x_1,y_1) is (2,7) respectively
  • Let the coordinate of B be (x_2,y_2)
  • And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
  • The mid-point formula is
<h3>M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})</h3>
  • Now substitute the coordinates int he above formula we get
  • (4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})
  • Now equating we get

4=\frac{2+x_2}{2}                    2=\frac{7+y_2}{2}

Multiply by 2 we get                             Multiply by 2 we get  

4(2)=2+x_2                                           2(2)=7+y_2

8=2+x_2                                                4=7+y_2

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

8-2=2+x_2-2                                4-7=7+y_2-7

6=x_2                                                       -3=y_2

Rewritting the above equation      Rewritting the equation

x_2=6                                                      y_2=-3

<h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0
3 years ago
Think of the letter X as four vectors starting from the center and pointing outward. Label the four vectors starting from the to
laila [671]

Answer:

a) in

b) in

Step-by-step explanation:

The detailed explanation is attached below

5 0
3 years ago
4x+3=-5 helppp please
Goryan [66]

Answer: x = -2

Step-by-step explanation: To solve for <em>x</em>, in the equation you see here, our goal is to get <em>x</em> by itself.

Our first step will be to isolate the term containing <em>x</em> which in this case is 4x. To isolate 4x, we have to get rid of the +3 by subtracting 3 from both sides of the equation. On the left, +3 and -3 cancel out and we're left with 4x. On the right, -5 - 3 simplifies to -8.

Now we have the equation 4x = -8.

To get <em>x</em> by itself, we divide both sides of the equation by 4. On the left, the 4's cancel and on the right, -8 divided by 3 is -2 so <em>x = -2</em>

5 0
3 years ago
Read 2 more answers
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