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Anettt [7]
3 years ago
10

Claire's bedroom measures 16 feet by 18 feet if the purple carpet that she wants to buy costs $3.59 per square foot what will it

cost to buy a new carpet for her bedroom?
Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

Cost of purple carpet for Claire's bedroom is $1033.92.

Step-by-step explanation:

Given:

The dimension of bedroom are given as 16 feet and 18 feet.

Hence we can say that;

Length = 18 feet

width = 16 feet

Cost of carpet per square feet = $3.59

We will first find the area of the bedroom.

Area of bedroom can be calculated by multiplying length with width.

Area of bedroom = 16 \times 18 = 288 ft^2

Hence Area of bedroom is 288 square feet.

Now we know that;

Cost of carpet per square feet = $3.59

Hence Cost of carpet  for 288 square feet is ;

we will unitary method to find the same;

Cost of carpet for bedroom = \$3.59 \times 288 = \$1033.92

Hence Cost of carpet for Claire's bedroom is $1033.92.

Step-by-step explanation:

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Given: XY || ZW
Gnesinka [82]

Answer:

YXV- WZV- Congruent-Vertical- AA

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Part B
ziro4ka [17]

The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:

y =  -7x + 21

<h3>How to find the linear equation?</h3>

A general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.

Then we will have:

y = -7*x + b

Such that, when x = 3, y = 0, then:

0 = -7*3 + b

21 = b

Then the linear equation is y = -7x + 21

If you want to learn more about linear equations:

brainly.com/question/1884491

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3 0
2 years ago
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co
Karolina [17]

Hello There!

<u><em>n - d = 0</em></u>

<u><em>5n+10d = 90</em></u>

<u><em>----------------------</em></u>

<u><em>n-d = 0</em></u>

<u><em>n+2d = 18</em></u>

<u><em>-------------------</em></u>

<u><em>Subtract and solve for "d":</em></u>

<u><em>3d = 18</em></u>

<u><em>d = 6 (# of dimes)</em></u>

<u><em>n = d = 6 (# of nickels)</em></u>

8 0
3 years ago
(05.01 MC)
algol13

For the table, y = 9x.

 so the price of a short cake is $9


For the graph, y = 4x
so the price of a sweet bread is $4

9-4 = 5

 the short cake is $5 more than the sweet bread


5 0
3 years ago
Read 2 more answers
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