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maw [93]
3 years ago
11

A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =

0.305 meter. Round your final answer to 2 decimal places.
Mathematics
1 answer:
podryga [215]3 years ago
3 0

Answer:

Area of the counter top is 5.02\ m^2.

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = 18\times 0.305 = 5.49\ m

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = 3\times 0.305 = 0.915\ m

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = 5.49\times 0.915 = 5.0233\ m^2

Rounding up to 2 decimals we get;

Area of the counter top =  5.02\ m^2

Hence Area of the counter top is 5.02\ m^2.

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Determine if (-1,9) and (-2,6) are solutions to the system of equations: x + y = 8 x2 + y = 10 A) Both are solutions B) Neither
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Answer:

D) Only (-1,9) is a solution.

Step-by-step explanation:

x+y =8

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Lets check the first point (-1,9)

Put in x =-1 y =9

x+y =8

-1+9 = 8

8 =8

This works

x^2 + y = 10

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10 = 10

This works

Lets check the second point (-2,6)

Put in x =-2 y =6

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-2+6 = 8

4=8

This  does not work

We can stop now.  (-2,6) cannot be a solution

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3 years ago
Jasper has an annual salary of $71000 and his company pays him twice a month. What is the gross income per paycheck that Jasper
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Answer:

$2,958.33

Step-by-step explanation:

Jasper's annual salary is $71000.

Considering that a year has 12 months and that he gets a paycheck twice each month, the total number of paychecks (P) Jasper gets each year is:

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To define Jasper's gross income per paycheck (I), simply divide his annual salary by the number of paychecks in a year:

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Jasper's gross income per paycheck is $2,958.33.

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Answer:

(a) and (b) are not equivalent

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Step-by-step explanation:

Given

\frac{25^m}{5}

Required

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25^{m-1

Apply law of indices

25^{m-1} = \frac{25^m}{25}

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25^{2m - 1}

Apply law of indices

25^{2m - 1} = \frac{25^{2m}}{25}

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<em></em>

<em />(c)\ 5^{2m-1}<em />

We have:

<em />5^{2m-1}<em />

Apply law of indices

<em />5^{2m-1} = \frac{5^{2m}}{5^1}<em />

<em />5^{2m-1} = \frac{5^{2m}}{5}<em />

<em>Evaluate the numerator</em>

<em />5^{2m-1} = \frac{25m}{5}<em />

<em />

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How would I do this problem by factoring?
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