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Advocard [28]
3 years ago
5

A large community college has professors and lecturers the total number of faculty members is 136.The school reported that they

had six professors for every 11 lecturers how many professors does the Community College employ
Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer:

  48

Step-by-step explanation:

The ratio of professors to lecturers is ...

  P : L = 6 : 11

Then the ratio of professors to total faculty is ...

  P : (P+L) = 6 : (6+11) = 6 : 17

That is, professors make up 6/17 of the total faculty. Their number is ...

  P = (6/17)·136 = 48

The Community College employs 48 professors.

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10th grade level LT1
Slav-nsk [51]

Answer:

<h2>? = 3.</h2>

Hope this will help you.

5 0
3 years ago
The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


7 0
3 years ago
Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
3 years ago
Hi, can somebody pretty please help me? Thank you!
dybincka [34]

Answer:

Honey, I don't know what you need help with. Nothing is linked.

Step-by-step explanation:

4 0
3 years ago
The small base of an equilateral trapezoid is equal to the slope, while the diagonal is directed to the slope. Find the angles o
tatiyna

Answer:

In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.

7 0
2 years ago
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