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DochEvi [55]
4 years ago
11

Suppose Albers Elementary School has 32 teachers and Bothell Elementary School has 61 teachers. If the total number of teachers

at Albers and Bothel combined is 62, how many teachers teach at both schools?
Mathematics
1 answer:
Contact [7]4 years ago
7 0

Answer: 31 teachers

Step-by-step explanation: let the number of teachers that teach in both school be x

By using venn diagram:

32 - x + x + 61 - x = 62

93 - x = 62

X = 93 - 62

X = 31

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Given the function defined below, what is the value of the 4th term?
MakcuM [25]

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

<em>Explanation</em>:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         <em> f(2) = -3 f(2-1) +5</em>

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                      <em>   f(3) = -3 f(3-1) +5</em>

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

               <em>  f(4)  = -3f(4-1) +5</em>

<em>                  f(4)  = -3f(3)+5</em>

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

<u><em>Final answer</em></u>:-

<em>The 4 t h term is   f(4)   = 143</em>

         

6 0
3 years ago
Is 2/7x proportional on a graph
Dvinal [7]
No it’s proportional on a table doe
7 0
3 years ago
Find the slope of the line below . Enter your answer as a fraction or decimal. Use a slash mark ( / ) as the fraction bar if nec
rusak2 [61]

Answer:

\displaystyle m = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Reading a coordinate plane
  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-4, -4)

Point (-2, 2)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{2--4}{-2--4}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{6}{2}
  3. [Fraction] Divide:                                                                                               \displaystyle m = 3
3 0
3 years ago
Angle A and B are supplementary angles. The measure of angle B is twice the measure of angle A minus 24. Find the measure of the
ivann1987 [24]

Answer:

A = 58

B = 112

Step-by-step explanation:

A + B = 180                           Supplementary angles

B = 2A - 24                           Given

Substitute for B in the first equation

A + 2A - 24  = 180

3A - 24 = 180                         Add 24 to both sides

3A = 180 + 24                        Combine the right

3A = 204                               Divide both sides by 3

A = 204/3

A = 68

B = 2A - 24

B = 2*68 - 24

B = 136 - 24

B = 112

5 0
3 years ago
What is 8+ 6 to the power of 2 over 11 + 7 times 2
ollegr [7]

Answer:

25.2727273

Step-by-step explanation:

4 0
3 years ago
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