$3 \frac{3}{4} = \frac{15}{4}$

Because (4*3) + 3 = 15. Similary find the improper fraction for -2 1/2.

(15/4) / (-5/2) = -3/2

Convert -3/2 into a mixed fraction.

Therefore, -3/2 = -1 1/2.

6 0

3 years ago

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2X+15= -3x how do you work this equation

Sphinxa [80]

Answer: $x=-3$

Add 3x to both sides

$2x+15+3x=-3x+3x\\5x+15=0$

Subtract 15 from both sides

$5x+15-15=0-15\\5x=-15$

Divide both sides by 5

$5x/5=-15/5\\x=-3$

8 0

3 years ago

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Formula for the sum of angles of a triangle: A+B+C=180 degrees, for C

nevsk [136]

A + B + C = 180
C = 180 - A - B

5 0

3 years ago

The monthly output P of a light bulb factory is given by the formula P = 450LK, where L is the amount invested in labor and K th

Tems11 [23]

Answer:

C(p) = 4,96 (in thousands of dollars)

l = 2980 $ invest in labor

k = 2980 $ invest in equipment

Step-by-step explanation:

Information we have:

Monthly output P = 450*l*k ⇒ k = P/450*l

But the production need to be 4000

Then k = 4000/450*l

Cost of production = l * k (in thousands of dollars)

C(l) = l + 4000/450*l

Taking derivatives (both members of the equation)

C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0

45*l² - 400 = 0 ⇒ l² = 400/45

l = 2.98 (in thousands of dollars)

l = 2980 $ And

k = 400/45*l ⇒ k 400/45*2.98

k = 2.98 (in thousands of dollars)

C(p) = l + k

C(p) = 2980 + 2980

C(p) = 5960 $

4 0

3 years ago