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elena55 [62]
9 months ago
7

the area of a bathroom floor measures 3 yards by 3 yards and each custom tile that makes up the flooring is 1 1/2 square yards.

How many tiles are needed to cover the floor?
Mathematics
1 answer:
wel9 months ago
4 0

Using the area, the number of tiles needed to cover the floor is 6.

<h3>What is area?</h3>

The area is the region bounded by the shape of an object.

Therefore, the bathroom floor measures 3 yards by 3yards.

Hence the area of the bathroom floor can be calculated as follows;

area of the bathroom floor = 3 × 3

area of the bathroom floor = 9 yards²

The area of the custom tiles that makes the flooring is 1 1  /2 square yards.

Hence,

number of tiles needed to cover the floor = 9 ÷ 3  /2

number of tiles needed to cover the floor = 9 × 2  / 3

number of tiles needed to cover the floor = 18 / 3

number of tiles needed to cover the floor = 6

learn more on area here: brainly.com/question/946354

#SPJ1

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Common multiples of 2 and 3 include 6, 12, 18, and 24.

Step-by-step explanation:

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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

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