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3 years ago

There is an item with the sale price of $4.51 after a 45% discount. What is the original price of the item? Justify your answer.

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

Take 4.51 divided by .45

4.51÷.45=10.02

Original price- $10.02

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Joey has been mowing his dad's lawn every week indefinitely because his

Kisachek [45]

Answer:

The money he makes mowing lawn can be represented by a linear function.

The function can be represented in the slope-intercept form.

the equation of the function is y=500+10x

where

y=amount of money he has earned by mowing lawns.

x=number of lawn mowing clients he has.

Step-by-step explanation:

It can be represented by a linear function (straight line) because the additional amounts are proportional to the number of clients he has.

The equation is

y=500+10x

where

y=amount of money he has

x=number of lawn mowing client he has.

6 0

4 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=8%20x%20%3D%2012%20%20power%208" id="TexFormula1" title="8 x = 12 powe

almond37 [142]

Answer:

Step-by-step explanation:

8x = 12^8

x = 12*8/8

= 53747712.

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2 years ago

I need help with some homework

8_murik_8 [283]

Yes they are , since they are very common in ones body

5 0

3 years ago

Read 2 more answers

Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.

Vinvika [58]

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

the points will be clustered according to their distance to the centroids.
Then centroids are updated as the cluster means.
This process continues until clusters doesn't change anymore

1) initial centroids 10-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

new centroids 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

final centroids 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = $(18-6)^{2}$ + $(18-12)^{2}$ + $(18-18)^{2}$ + $(18-24)^{2}$ + $(18-30)^{2}$ + $(45-42)^{2}$ + $(45-48)^{2}$ =378

2)initial centroids 10-20

first cluster (6,12) mean:9

second cluster (18,24,30,42,48) mean:32.4

new centroids 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

new centroids 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

final centroids 15-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

Sum of Squared errors = $(15-6)^{2}$ + $(15-12)^{2}$ + $(15-18)^{2}$ + $(15-24)^{2}$ + $(40-30)^{2}$ + $(40-42)^{2}$ + $(40-48)^{2}$ =348

6 0

3 years ago

-5 1/2 divided by (-4 1/2)

const2013 [10]

Answer:

1 2/9

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−112÷−92

Applying the fractions formula for division,

=−11×22×−9

=−22−18

Simplifying -22/-18, the answer is

=129

7 0

3 years ago

Read 2 more answers