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ozzi
2 years ago
13

A circular playground for a daycare center is to be covered with square tiles that are 9 inches on each side. The circle has a d

iameter of 12 ft. The tiles are packaged in boxes of 25 tiles. How many boxes of tiles are needed?
Mathematics
2 answers:
nydimaria [60]2 years ago
5 0

Answer:

9 boxes

Step-by-step explanation:

Area=\pi r^{2}

Since 1 ft= 12 inches then with diameter of 12 ft, radius becomes 6 ft and converted to inches it's 6*12=72 in

Area=\pi\times 72^{2}=16286.01632  in^{2}

Area of 1 tile= 9*9=81

Number of tiles= \frac {16286.01632
}{81}=201.0619298
\202 tiles

Number of boxes= 202/25=8.08 boxes hence 9 boxes

zlopas [31]2 years ago
5 0

C) 9 boxes

Answer:

C) 9 boxes

Step-by-step explanation:

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mina [271]

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The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

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11 months ago
Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation
ruslelena [56]
<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

Therefore,

y = 2(30) +3 = 60+3 = 63.

<h3>So, Juanita spend $63 on groceries if she spent $30 on transportation.</h3>
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Answer:

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Step-by-step explanation:

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