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Salsk061 [2.6K]
3 years ago
11

A pair of shoes is on sale for 15% off. With this discount, customers will save $9 if they buy the shoes .In this situation, wha

t is the PART, WHOLE, and PERCENT?
Mathematics
1 answer:
kozerog [31]3 years ago
5 0

Answer:

$9 is the part, 15% is the percent, and $60 is the whole.

Step-by-step explanation:

$9 is %15 of the whole. This means $9 is the part, 15% is the percent, and the whole is the total cost of the shoes after the discount. The total cost of the shoes after the discount is 60.

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g 7. Find Re f and Im f and find their values at the given z. (Both answers should be included) f = z⁄(z + 1), z = 4 − 5
Schach [20]

Answer:

The real and imaginary parts of the result are \frac{1441}{1601} and \frac{4}{1601}, respectively.

Step-by-step explanation:

Let be f(z) = \frac{z}{z+1}, the following expression is expanded by algebraic means:

f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}

f(z) = \frac{z^{2}-z}{z^{2}-1}

f(z) = \frac{z^{2}}{z^{2}-1}-\frac{z}{z^{2}-1}

If z = 4 - i5, then:

z^{2} = (4-i5)\cdot (4-i5)

z^{2} = 16-i20-i20-(-1)\cdot (25)

z^{2} = 41 - i40

Then, the variable is substituted in the equation and simplified:

f(z) = \frac{41-i40}{41-i39} -\frac{4-i5}{41-i39}

f(z) = \frac{37-i35}{41-i39}

f(z) = \frac{(37-i35)\cdot (41+i39)}{(41-i39)\cdot (41+i39)}

f(z) = \frac{1517-i1435+i1443+1365}{3202}

f(z) = \frac{2882+i8}{3202}

f(z) = \frac{1441}{1601} + i\frac{4}{1601}

The real and imaginary parts of the result are \frac{1441}{1601} and \frac{4}{1601}, respectively.

8 0
3 years ago
You can buy 7 pillows at jensen's for the same price that you can buy 6 pillows at harrison's. If one pillow costs $21.21 at har
kotykmax [81]
$21.21 × 6 = $127.26

$127.26 ÷ 7 = $18.18 cost of 1 pillow at Jenson's.

You multiply the cost of the pillow at Harrison's, $21.21, by the amount of pillows you can buy at Harrison's, 6.
Then divide the answer by the amount of pillows you can buy at Jenson's, 7. The final answer is the cost of 1 pillow at Jenson's.
7 0
4 years ago
Read 2 more answers
Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.
posledela

Answer: 31.25%

Two ways to solve this problem:

#1: Use the formula: P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}

#2 Use a graphing calculator and use the function binompdf(n, p, x)

  • x = 3
  • n = 6
  • p = 0.5

#1: Formula:

P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125

#2: Faster method

binompdf(6, 0.5, 3) = 0.3125

8 0
3 years ago
Determine whether the triangles are congruent. Explain your reasoning .
alexira [117]
The triangles are congruent by using SAS.
We know these triangles are congruent by looking at the information given. The bottom sides have the same lengths, giving us one part of SAS.

We can also see an a right angle is given to us at the bottom, this automatically means the left angle is also a right angle. This is the angle of SAS.

Lastly, we know they share another side because they’re sharing the same side exactly.
5 0
4 years ago
In 3x² - x + 5 = 0, what is the quadratic term
Anastaziya [24]

Step-by-step explanation:

Quadratic term = Coefficient of x^2 term = 3.

6 0
3 years ago
Read 2 more answers
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