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9 days ago

Sam's Furniture Store places the following advertisement in the local newspaper.

Mathematics

1 answer:

zzz [9K]9 days ago

6 0

Response:

$500

Detailed explanation:

Let

Sofa = s
Love seat = l
Chair = c

Cost of sofa and love seat = $1300
Cost for sofa and two chairs = $1400
Cost for sofa, love seat, and one chair = $1600

To determine

Love seat =?

Resolution

The equations set from the given data are:

s + l = 1300
s + 2c = 1400
s + l + c = 1600

By subtracting equation 1 from equation 3:

s + l + c - s - l = 1600 - 1300
c = 300

Plugging this into equation 2:

s + 2*300 = 1400
s = 1400 - 600
s = 800

Incorporating s back into equation 1:

800 + l = 1300
l = 1300 - 800
l = 500

Response: The cost of the love seat is $500

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A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units

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Step $1$

Calculate the volume of a cylinder

We understand that

the volume of a cylinder can be expressed as

$V1=\pi r^{2} h$

In this scenario

$r=8\ units \\ h=15\ units$

Insert the values

$V1=\pi 8^{2} 15$

$V1=960\pi\ units^{3}$

Step $2$

Calculate the volume of a cone

We are aware that

the volume of a cone equals

$V2=\frac{1}{3}\pi r^{2} h$

In this example

$r=8\ units \\ l=17\ units \\ h=?$

Use the Pythagorean Theorem to determine the height h

$h^{2} =l^{2}-r^{2}\\ h^{2} =17^{2}-8^{2}\\ h^{2}=225\\ h=15\ units$

$V2=\frac{1}{3}\pi 8^{2} 15\\ \\ V2=320\pi \ units^{3}$

Step $3$

Calculate the empty volume inside the cylinder

$V1-V2=960\pi -320\pi =640\pi \ units^{3}$

Thus

the final result is

the empty volume inside the cylinder is $640\pi \ units^{3}$

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Jaxon and Isaac live different directions from the city center. Jaxon lives 10 blocks east and 5 blocks north. Isaac lives 8 blo

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Answer:

Step-by-step explanation:

According to the attached figure, Jaxon is positioned 10 blocks east and 5 blocks north.

Thus, Jaxon's x-coordinates are 10 units, while the y-coordinates are 5 units.

Therefore, the coordinates are given by (10,5)

Similarly, Isaac's coordinates are determined based on his distances towards the west and south.

Hence, the x-coordinates equal 8 units and the y-coordinates equal 15 units.

Thus, Isaac’s coordinates are depicted as (-8,-15).

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Class B exhibits the most consistent sleep patterns since there's a smaller variance between 6.87 and 3.65 compared to the other classes.

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Jalen is in a 24-hour dance-a-thon as part of a fundraiser. He raised $50 in the first hour of the competition, then another $60

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Answer:

$786

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50, 60, 72

calculate the variance between the earnings from the first and second hours to obtain 10.

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Answer:

The autofilled results would be Seat1Row4, Seat1Row5, Seat1Row6

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Given

B1 = Seat1Row1

C1 = Seat1Row2

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Required

Values for E1, F1, G1 if autofill is applied

Autofilling in Microsoft Excel allows automatic cell filling based on prior entries.

The autofill function adjusts various data types, including both numbers and alphanumeric characters.

However, when utilizing autofill for alphanumeric data in Excel, only the numeric portion is altered.

In this particular instance, the sequence of entries in B1, C1, and D1 includes Seat1Row1, Seat1Row2, and Seat1Row3

"Seat1Row" will be treated as a string, while the numbers 1, 2, and 3 will be incremented, allowing their respective alphanumeric outcomes to populate the given cells.

As a result,

The E1 cell will automatically become Seat1Row4

The cell F1 will be updated to Seat1Row5

The cell G1 will be updated to Seat1Row6

See attachment

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