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KATRIN_1 [288]
2 years ago
5

A 429 g piece of cheese costs $9.50. What will be the cost for 1.42 kg of this cheese?

Mathematics
1 answer:
stellarik [79]2 years ago
5 0

The cost for 1.42 kg of this cheese will be $ 31.44 .

<h3>What does unit conversion entail?</h3>

The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.

<h3>Why is the unitary technique used? What is it?</h3>

In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple.

How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used. The unitary method entails calculating the value of a single unit before calculating the value of the required number of units.

Given that 0.429 kg of cheese cost $9.50

As a result, the price of 1 kg of cheese is $9.50/0.429, which is $ 22.14.

As a result, 1.42 kg of cheese will cost you $22.14 * 1.42 = $31.44.

To learn more about unit conversion, tap on the link below:
brainly.com/question/24587372

#SPJ10

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Gnom [1K]

Answer:

  • 6. See solution
  • 7. k = 2, k = -6

Step-by-step explanation:

6.

<u>Given equation:</u>

  • 2(x + 2)² + p(x + 1) = 0
  • The sum of the roots is q1 and the product of the roots is q2

Need to show that q1+q2 = 0

<h3>Solution</h3>

<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>

  • 2(x + 2)² + p(x + 1) = 0
  • 2x² + 8x + 8 + px + p = 0
  • 2x² + (p + 8)x + (p + 8) = 0

<u>Sum of the roots: </u>

  • q1 = - b/a = -(p + 8)/2

<u>Product of the roots:</u>

  • q2 = c/a = (p + 8)/2

<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>

  • q1 + q2 = -(p + 8)/2 +  (p + 8)/2 = 0

=============================================

7.

<u>Given quadratic equation:</u>

  • x² - (k + 2)x + 4 = 0
  • It has equal roots

Need to find the possible values of k

<h3>Solution</h3>

<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>

  • D = 0
  • √b² - 4ac = 0
  • √(-k -2)² - 4*1*4 = 0
  • √k² + 4k + 4 - 16 = 0
  • √k² + 4k - 12 = 0
  • k² + 4k - 12 = 0
  • k = {-4 ± √4² -4*1*(-12)}/2
  • k = (-4 ± √16 + 48)/2
  • k = (-4±√64)/2
  • k = -2 ± 4
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7 0
3 years ago
Solve using the substitution method.
Brilliant_brown [7]

Answer:

x = 1, y = 4

Step-by-step explanation:

This is very simple

Since you have 2 equations with the same coefficient of x, just minus one equation from another:

          x + 3y = 13

       -      

          x + 2y = 9

                1y = 4

Sub y = 4 into any of the 2 equation,

x + 3(4) = 13

x + 12 = 13

x = 13 - 12

  = 1

5 0
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Marysya12 [62]

Answer:

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Step-by-step explanation:

I say this because your getting  the same apples for cheap not only are they cheap but your also getting more.

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EastWind [94]

Answer:

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Step-by-step explanation:

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