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PilotLPTM [1.2K]
3 years ago
7

Decrease 18 tonnes by 30%

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
10% of 18 tonnes = 1.8 tonnes
30% of 18 tonnes = 5.4 tonnes
18 - 5.4 tonnes = 12.6 tonnes
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A company uses the formula T = 581s+150p to determine the total cost to purchase s computers and p printers. Which formula can b
Luba_88 [7]

Answer: p= T/150 - 3.88s

Step-by-step explanation:

Hi, to answer this question we have to solve the equation for p.

T = 581s+150p

T -581s = 150p

(T -581s)/150 = p

T/150 - 3.88s =p

p= T/150 - 3.88s

For example if the total cost is $600 and the number of computers is 1:

p= 600/150-3.88 (1)

p=4-3.88

p= 0.12 per printer

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
3x-4y=6 converted to slope intercept form
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Afina-wow [57]

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3 years ago
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Need help solving these two vector problems.
jonny [76]
<h3>Answer:</h3>

see below

<h3>Step-by-step explanation:</h3>

Here, we'll use an ordered pair <a, b> to represent each vector's two components. The rules are ...

  • multiplying a vector by a scalar multiplies each component by that scalar
  • multiplying a vector by a scalar multiplies its magnitude by the magnitude of the scalar
  • the magnitude of a vector is the square root of the sum of the squares of its components
<h2>1.</h2>

For A = <2.5, -3.5>, |A| = √(2.5²+(-3.5)²) = √18.5 ≈ 4.30

  • 2A = <5, -7>; |2A| = 8.60
  • -2A = <-5, 7>; |-2A| = 8.60
  • A/2 = <1.25, -1.75>; |A/2| = 2.15

_____

<h2>2.</h2>

A = |A|<cos(43.9°), sin(43.9°)>

B = |B|<cos(154.8°), sin(154.8°)>

C = <0, -25.8>

The sum being zero gives rise to 2 equations in 2 unknowns.

  |A|cos(43.9°) +|B|cos(154.8°) = 0

  |A|sin(43.9°) +|B|sin(154.8°) = 25.8

Using Cramer's rule to find the solution, we get ...

  |A| = 25.8cos(154.8°)/(cos(154.8°)sin(43.9°) -sin(154.8°)cos(43.9°))

  |A| = 25.8cos(154.8°)/sin(43.9° -154.8°)

  |A| ≈ 24.9887

  |B| = -25.8cos(43.9°)/sin(-110.9°)

  |B| ≈ 19.8995

4 0
3 years ago
If Andrew can paint 1 house in 4 days, which sentence is true? A. Andrew can paint 9 houses in 27 days. B. Andrew can paint 8 ho
mezya [45]

Answer:

The answer is C.

Step-by-step explanation:

I got this by multiplying the houses by the days it would take to paint to paint one house.

9*4=27

8 0
3 years ago
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