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zlopas [31]
2 years ago
14

Zina goes to the store to buy markers. An 8-pack of markers costs $10.99, but it does not have the color that she wants. A 12-pa

ck of markers has the right color, but the price label below is damaged, and she can't read the total price. Zina can see that the 12-pack has the same unit cost as the 8-pack. Write a proportion that Zina can use to determine how much the 12-pack of markers will cost. Use C to represent the cost of the 12-pack of markers.
Mathematics
1 answer:
olga2289 [7]2 years ago
3 0

Using proportions, it is found that the cost of the 12-pack of markers, in dollars, is of:

  • C = \frac{10.99 \times 12}{8} = 16.5

<h3>Proportions:</h3>
  • This question is solved by <em>proportions</em>, using a rule of three.
  • The cost of a 8-pack of markers is of $10.99. What is the cost of a 12-pack?

The <em>rule of three</em> is:

8 pack - $10.99

12-pack - $C

Applying cross multiplication:

8C = 10.99 \times 12

C = \frac{10.99 \times 12}{8} = 16.5

To learn more about proportions, you can take a look at brainly.com/question/24372153

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Check attachment below
tresset_1 [31]

Answer:

170

Step-by-step explanation:

The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.

wx = 2(42x + 1)

We can add up that and the other arcs to 360.

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5 0
2 years ago
M is a degree 3 polynomial with m ( 0 ) = 53.12 and zeros − 4 and 4 i . Find an equation for m with only real coefficients (i.E.
Nitella [24]

Answer:

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Step-by-step explanation:

Given that M is a polynomial of degree 3.

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M(x) =a(x-p)(x-q)(x-r)

The two zeros of the polynomial are -4 and 4i.

Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.

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M(x)= a{x-(-4)}(x-4i){x-(-4i)}

      =a(x+4)(x-4i)(x+4i)

      =a(x+4){x²-(4i)²}      [ applying the formula (a+b)(a-b)=a²-b²]

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      =a(x+4)(x²+16)      [∵i² = -1]

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\Rightarrow a = \frac{53.12}{64}

      =0.83

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

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3 years ago
What is the squre root of 32 divided by five plus the square root of 18 divided by 7
Marta_Voda [28]
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Divided by 5 is 1.13137085
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The answer is <span>0.767715934

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