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3 years ago

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Simone takes dance lessons. Her shoes cost $150 per year, her tights and leotards cost $70 per year, her hair accessories cost $

15 per year, and the dance lessons cost $1,000 per year. How much will Simone pay for five years of dance lessons?

1 answer:

KATRIN_1 [288]3 years ago

6 0

Ok so all you do is add 150+70+15+1000. That equals to $1235

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Draw the straight line y= x+2

liubo4ka [24]

Answer:

Attached below

Step-by-step explanation:

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3 years ago

A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has

Aleks [24]

The Solution to the problem of the rectangle is given below

For Part A:

equation model: (14 + w) * (w +8) = 132
Length = 15

For Part B

Perimeter = 46

Meaning of Perimeter

The perimeter of any shape can be defined as the total sum of the sides of the shape.

<h3>Analysis</h3>

For Part A

equation model= (14 + w) * (w +8) = 135

14w + 112 + 8w + $w^{2}$ = 135

$w^{2}$ + 22w - 23 = 0

solving the quadratic equation

w = -23 or 1

Because we are dealing with a physical quantity we will make use of the value 1

lenght of original rectangle = 10 + 1 = 11

Part B

Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)

Perimeter = 48

In conclusion, The Solution to the problem of the rectangle is given above.

Learn more about Perimeter: brainly.com/question/19819849

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2 years ago

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What figure is a dilation of Figure A by a factor of 1/2 ?

lora16 [44]

A dilation of figure A by a factor of 1/2 is the last figure with sides 1in, 2 in, 0.5 in and 2.5 inch. Since dilation means becoming larger, smaller or wider from one figure, this is also same with similar figures where the ratios of corresponding sides should be the same. In this problem, the ratio is 0.5 or 1/2. Therefore figure A is similar to the last figure.

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3 years ago

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Genghis Khan organized his men into groups of 10 soldiers under a "leader of 10." Ten "leaders of 10" were under a "leader of 10

Drupady [299]

Answer:

(a) 11110 soldiers

(b) 6404 soldiers

Step-by-step explanation:

Following that logic you can express the men of any level of his organization as 10^n, where n is the level. Some examples:

Level 1: 10^1 = 10

Level 2: 10^2 = 100 Each of the 10 men in level 1 are in charge of 10 men in the level 2 (10 * 10 = 100)

(a) if the lowerst level of the organization has 10,000 soldiers, then the lowest level is:

10^n = 10,000

n = 4

The total number of men under him is:

10^4+10^3+10^2+10^1 = 11110 (Assuming that he is the leader of the first 10 leaders)

(b) In this case the lowest level has 5763, you have a 1 leader for every 10 soldiers, then the leaders needed for the lowest level is:

5763/ 10 = 576.3 = 577 leaders

These 577 leaders also have their own leaders for every 10:

577/10 = 57.7 = 58 leaders

And these also have their own leaders:

58 / 10 = 5.8 = 6

And again We assume these 6 are directly under Genghis Khan

Total soldiers:

5763 + 577 + 58 + 6 = 6404 soldiers

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3 years ago

For the function given, state the middle line: ƒ(t) = 3 cos(π t − 1).

kozerog [31]

Cos (πt - 1) oscilates periodically between -1 and +1.

3Cos (πt - 1) oscilates periodically between -3 and +3.

The x-axis is the middle line. The equation of the x-axis is y = 0.

So the, the middle line is y=0.

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3 years ago