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creativ13 [48]
2 years ago
14

A package of colored paper contains 20 pieces of yellow paper. This represents 25% of the total pieces of colored paper in the p

ackage. How many total pieces of colored paper are in the package?
Mathematics
1 answer:
yaroslaw [1]2 years ago
8 0

Answer: 80

Step-by-step explanation:

80x 0.25=20

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Express the complex number in trigonometric form. 5 - 5i
bazaltina [42]

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Lets do this step by step.

This is the trigonometric form of a complex number where |z| is the modulus and 0 is the angle created on the complex plane.

z = a + bi = |z| (cos ( 0 ) + I sin (0))

The modulus of a complex number is the distance from the origin on the complex plane.

|z| = \sqrt{a^2 + b^2} where z = a + bi

Substitute the actual values of a = -5 and b = -5.

|z| = \sqrt{(-5) ^2 + (-5) ^2}

Now Find |z| .

Raise - 5 to the power of 2.

|z| = \sqrt{25 + (-5) ^2}

Raise - 5 to the power of 2.

|z| = \sqrt{25 + 25}

Add 25 and 25.

|z| = \sqrt{50}

Rewrite 50 as 5^2 . 2 .

|z| = 5\sqrt{2}

Pull terms out from under the radical.

|z| = 5\sqrt{2}

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

0 = arctan (\frac{-5}{-5} )

Since inverse tangent of  \frac{-5}{-5}  produces an angle in the third quadrant, the value of the angle is \frac{5\pi }{4} .

0 = \frac{5\pi }{4}

Substitute the values of 0 = \frac{5\pi }{4} and |z| = 5\sqrt{2} .

5\sqrt{2} ( cos( \frac{5\pi}{4})  + i sin (\frac{5\pi}{4}))

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Hoochie [10]

Step-by-step explanation:

Re write your question....

It isnt understandable

8 0
3 years ago
Ben earns $9 per hour for each delivery he makes. He wants to make more than $155 in 8 hours .What is the least number of delive
Pavlova-9 [17]

Question is Incomplete,Complete question is given Below.

Ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least number of deliveries he must make to reach his goal?

Answer:

Ben must make at least 14 Deliveries to achieve his goal.

Step-by-step explanation:

Hourly Rate = $9 per hour

Cost of each Delivery = $6

Number of hours to be worked = 8 hours.

Money needs to be earned =$155

we need to find the number of deliveries he must make to reach his goal.

Solution :

Let number of deliveries be 'x'.

Now we can say that Hourly rate multiplied by number of hours of work plus Cost of each delivery multiplied by number of deliveries should be greater than or equal to Money needs to be earned.

Framing in equation form we get;

9\times8+6x\geq 155

Solving the equation we get;

72+6x\geq 155

Subtracting both side by 72 using Subtraction property of Inequality we get;

72+6x-72\geq 155-72\\\\6x\geq 83

Now Dividing both side by 6 using Division Property we get;

\frac{6x}{6} \geq \frac{83}{6} \\\\x\geq 13.83

Hence Ben must make at least 14 Deliveries to achieve his goal.

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Nastasia [14]

20

Step-by-step explanation:

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If Julie needs 3 3/4 cups of raisin but only has 1/4 measuring cup how many measuring cups does she use"?
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All you have to do is divide 3 3/4 by 1/4 which the answer is that she can use 15 times on that 1/4 measuring cup
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2 years ago
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