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2 years ago

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

Mathematics

1 answer:

boyakko [2]2 years ago

6 0

Answer:

$500

Step-by-step explanation:

<h3>Given</h3>

Sofa = s
Love seat = l
Chair = c

Sofa and love seat cost = $1300
Sofa and 2 chairs cost = $1400
Sofa, love seat and one chair cost = $1600

Love seat = ?

<h3>Solution</h3>

<u>Equations as per given are:</u>

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

<u>Subtract equation 1 from equation 3:</u>

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

<u>Considering this in the equation 2:</u>

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

<u>Substituting s in the equation 1:</u>

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

<u>Answer:</u> Love seat costs $500

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Hannah is designing containers to hold 300 cm3 of juice. Which container is more efficient?

Lubov Fominskaja [6]

Answer:

a) 2nd container is more efficient and contains the elements for a container.

b) The cylinder has a........A)Smaller surface area B)bigger C)equal

And will cost.....A)Less to produce B)more C)The same

Step-by-step explanation:

a) The 2nd container has these elements:

Width 20.5cm

Length 6.5cm

side 3.25cm

So, the volume in cubic cm is 20.5 x 6.5 x 3.25 = 433cm3.

This container can hold the 300cm3 of juice.

b) A cylinder is a geometric solid common in everyday life. Examples of a cylinder are soup cans, food tins, drink cans, candles, toilet paper rolls, cups, aerosol cans, flower vases, test tubes, fire extinguishers, plant containers, salt shakers and pencil holders. The two ends are called bases, and are usually circular. Though, they can take other shapes. When a cylinder is unrolled and flattened out, the side is actually a rectangle.

The surface area of a cylinder is the surface area of each end plus the surface area of the side. The mathematical formula is 2π * r2, where π is the pie and r is the radius of the end and r2 is r squared..

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2 years ago

Which expression is equivalent to sin7pi/6?

elena-14-01-66 [18.8K]

For this case we must find an expression equivalent to:

$Sin (\frac {7 \pi} {6})$

According to the unit circle, $\frac {7 \pi} {6}$ is in the third quadrant and equals 210 degrees.

Then, we must find an expression equivalent to:

$Sin (210) = - \frac {1} {2} = - 0.5$

We have to:

$\frac{11 \pi} {6}$

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

$Sin (330) = - \frac {1} {2} = - 0.5$

Answer:

Option D

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2 years ago

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Five years ago an alligator was to 2 1/6 feet long today the alligator three times longer how long is the alligator now

Temka [501]

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2 years ago

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Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4

ivolga24 [154]

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

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4 0

2 years ago

The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5mi

Vlada [557]

<h2>Answer:</h2>

In the 5th year

<h2>Step-by-step explanation:</h2>

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000 . . . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

<em>Remember that,</em>

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d ---------------(i)

<em>Where;</em>

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

<em>From the given sequence,</em>

a = 1,200,000 [which is the first salary]

d = 75,000 [which is the increment in salary]

L = 1,500,000 [which is the maximum salary]

<em>Substitute these values into equation (i) as follows;</em>

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

$\frac{300,000}{75,000} = n - 1$

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

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2 years ago