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Tcecarenko [31]
3 years ago
8

The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangu

lar garden as shown below.
Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?

Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

Answer:

1,482 square feet

Step-by-step explanation:

Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

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A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late
Molodets [167]

Answer:

The clearance price is $17.28.

The clearance price will not give the store any profit.

Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)

\text{Price of the hat after an increase of 60\%}=20+(0.60*20)

\text{Price of the hat after an increase of 60\%}=20+12

\text{Price of the hat after an increase of 60\%}=32

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)

\text{Price of the hat after sale of 10\%}=32-(0.10*32)

\text{Price of the hat after sale of 10\%}=32-3.2

\text{Price of the hat after sale of 10\%}=28.8

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)

\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)

\text{Price of the hat after clearance sale}=28.8-11.52

\text{Price of the hat after clearance sale}=17.28

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

7 0
3 years ago
How to add and subtract fractions with unlike denominators and mixed numbers?
Rainbow [258]
To add and subtract fractions you must do the multiplication of the numerator of the first with the denominator of the second. Then, add or subtract the multiplication of the numerator from the second with the denominator of the first. Finally divide the result between the multiplication of the denominator of the first with the denominator of the second fraction.Annex the result.

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3 years ago
What percent of 126 is 22
makkiz [27]
17% ? Idont know if its 22 divided by 126 or 126 divided by 22
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3 years ago
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Write the prime factorization in expanded form for 36
asambeis [7]
36 = 6\times 6 = 2\times 3\times 2\times 3=2^2\times 3^2
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3 years ago
Find a third-degree polynomial equation with rational coefficients that has the given numbers as roots. 1 and 3i
andre [41]

Answer:

x³ − x² + 9x − 9 = 0

Step-by-step explanation:

Imaginary roots come in conjugate pairs.  So if 3i is a root, then -3i is also a root.

(x − 1) (x − 3i) (x − (-3i)) = 0

(x − 1) (x − 3i) (x + 3i) = 0

(x − 1) (x² − 9i²) = 0

(x − 1) (x² + 9) = 0

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x³ − x² + 9x − 9 = 0

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3 years ago
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