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lions [1.4K]
3 years ago
7

A local middle school has 99 computers and 333 students. What is the number of students per computer at the school?

Mathematics
1 answer:
Bumek [7]3 years ago
7 0
About 3.36 which round to 3
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5 miles per hour it takes 2 10th to make 1 mile
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3 years ago
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HELP!!
Liono4ka [1.6K]

Answer:

Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

Step-by-step explanation:

Part 1:

The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).

The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).

We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.

The relation between the vertices of ABCDE and MNOPQ are defined as

(x,y)\rightarrow (-x,y)

It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2:

If polygon MNOPQ is translated 3 units right and 5 units down, then

(x,y)\rightarrow (x+3,y-5)

M(-2,8)\rightarrow V(-2+3,8-5)=V(1,3)

N(-4,12)\rightarrow W(-4+3,12-5)=W(-1,7)

O(-10,12)\rightarrow X(-10+3,12-5)=X(-7,7)

P(-8,8)\rightarrow Y(-8+3,8-5)=Y(-5,3)

Q(-6,6)\rightarrow Z(-6+3,6-5)=Z(-3,1)

Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

6 0
3 years ago
Solve each equation. Show your work please. Part 1​
Free_Kalibri [48]

Answer:

  1. x = -10 1/6
  2. x = 24 3/5
  3. x = -7 1/4

Step-by-step explanation:

The relevant rules of logarithms are ...

  log(a)+log(b) = log(ab)

  log(a)-log(b) = log(a/b)

The base of the logarithm doesn't matter, as long as all bases are the same.

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In each case, we can simplify the left side to a single log, then take the antilog and finish solving the linear equation.

1. log(3-x) +log(6) = log(79)

  log(6(3-x)) = log(79)

  6(3 -x) = 79

  3 -x = 79/6

  x = 3 -79/6

  x = -10 1/6

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2. log(5x +3) -log(2) = log(63)

  log((5x+3)/2) = log(63)

  (5x +3)/2 = 63

  5x +3 = 126

  5x = 123

  x = 24.6

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3. log(-4x -7) +log(2) = log(44)

  log(2(-4x-7)) = log(44)

  2(-4x -7) = 44

  4x +7 = -22

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  x = -7 1/4

5 0
3 years ago
What is the equation in slope-intercept form of the line that passes through the points (0, −4) and (2, 0)?
Nastasia [14]

Answer:

y = 2x -4

Step-by-step explanation:

Slope intercept form is  y = mx + b where <em>m </em>is the slope and <em>b </em>is the y-intercept.

Slope is \frac{rise}{run} or \frac{y_2 - y_1}{x_2-x_1} in this case = \frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2

Substitute one of the coordinates for x and y. I am going to use (0, -4) so:

-4 = 2(0) + b\\-4 = 0 + b\\-4 = b

since m = 2 and b = -4, we can conclude that the equation would be

y = 2x -4

5 0
3 years ago
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