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Gre4nikov [31]
3 years ago
9

if a university want to maintain a 14:1 ration between students and teachers, how many teachers would be needed to accommodate 8

96 students?
Mathematics
2 answers:
Arlecino [84]3 years ago
6 0

Answer:2 h

Step-by-step explanation:

Juli2301 [7.4K]3 years ago
4 0

Answer:

64 teachers are needed to accommodate the 896 students.

Step-by-step explanation:

if it is a 14:1 ratio, divide the number of students by the number of teachers and you get 64. 896/14=64

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Answer:

50%

Step-by-step explanation:

47 is half of 94 which is the same thing as 50% of 94

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If x:y=5:2 and y:z=3:2, what is the ration of x:z?
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I hope this helps you

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4 years ago
the radius of a circle is doubled. a . how does the circumference change? b. How does the area change?
yaroslaw [1]

Let's say the original radius was "r", so the circumference is 2πr and the area is πr².

Now when you double the radius, the you get a new circle with radius 2r, circumference 2π(2r) = 4πr, and area π(2r)² = 4πr².

5 0
3 years ago
Use elimination to solve.<br> 3y-6x=7<br> -4y-3x=9
shtirl [24]

Answer:

x = -5/3, y = -1 or (-\frac{5}{3}, -1)

Step-by-step explanation:

Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.  

Equation 1:   3y - 6x = 7

Equation 2:  -4y - 3x = 9          

<h3>Step 1:  Multiply Equation 2 by -2:</h3>

(-2)(-4y - 3x) = 9 (-2)

8y + 6x = -18

<h3>Step 2: Add "8y + 6x = -18" to Equation 1:</h3>

  8y + 6x = -18

+ 3y - 6x = 7

11y = -11

<h3>Step 3: Divide both sides by 11 to solve for y:</h3>

\frac{11y}{11} =  \frac{-11}{11}

y = -1

<h3>Step 4: Substitute y = -1 into Equation 2 to solve for x: </h3>

-4(-1) - 3x = 9      

    4 - 3x = 9

<h3>Step 5: Subtract 4 from both sides:</h3>

    4 - 4 - 3x = 9 - 4

   - 3x = 5

<h3>Step 6: Divide both sides by -3 to solve for x:</h3>

\frac{-3x}{-3} = \frac{5}{-3}

x = - \frac{5}{3}

Verify whether the values for x and y are correct by substituting their values into both equations:

x = -5/3, y = -1

Equation 1:   3y - 6x = 7

3(-1) - 6(-\frac{5}{3}) = 7  

-3 + 10 = 7

7 = 7 (True statement).

Equation 2:  -4y - 3x = 9          

-4(-1) - 3 (-5/3)  = 9          

-4(-1) - 3(-\frac{5}{3}) = 9

4 + 5 = 9

9 = 9  (True statement).

Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.  

8 0
3 years ago
What is the y-intercept of the linear equation x-1/2 y=-6
Artyom0805 [142]

Answer:

y = 12

Step-by-step explanation:

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To find the y intercept set x = 0 and solve for y

0  - 1/2 y = -6

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Multiply each side by -2

-2*-1/2y = -6*-2

y = 12

3 0
3 years ago
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