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2 years ago

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Natasha is setting tiles along the baseboard in her bathroom. One side of the bathroom is 18 3/4 feet. Each tile is 1 1/2 feet l

ong. How many are tiles does she need for this section?

1 answer:

Svetlanka [38]2 years ago

4 0

Step-by-step explanation:

Length = 18 3/4 feet = 75/4 feet = 225 inches

Size of each tile = 1 1/2 feet = 18 inches

Number of tiles needed

= length/size

= 225/18

= 25/2

=12.5 tiles

Natasha needs 12 and a half tiles.

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I’ve been stuck on this question since beginning of my freshman year! Someone please explain how to do this please??!

dexar [7]

Hi!

There might be different variations into how anyone would approach this problem but this is by far an easy way for me.

In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.

You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.

When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.

(<em>This is how you do cross multiplication.)</em>

You should get something like this:

3(3y+12)=6(4y) Distribute the three on the left side and multiply. Do the same on the right.

9y+36=24y Now, you can combine like terms by subtracting 9y to the other side.

36=15y Isolate y and divide it by 15.

y=2.4

I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.

I hope this helped!

8 0

1 year ago

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

Cleo wants to jion a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. If Cleo pays $174.99,

mamaluj [8]

Answer: The membership will last for 12 months.

Step-by-step explanation:

Let x represent the number of months that the membership would last.

Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. This means that the total cost of using the gym for x months would be expressed as

12.5x + 24.99

If Cleo pays $174.99, it means that

12.5x + 24.99 = 174.99

12.5x = 174.99 - 24.99

12.5x = 150

x = 150/12.5

x = 12

6 0

3 years ago

Determine whether the statement is true or false. If it is true, explain why.

Over [174]

True.

Since $y^4 \geq 0$ , $y' = -1 - y^4 \ \textless \ 0$ and the solutions are decreasing functions.

8 0

3 years ago

How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

<u><em>The question is</em></u>

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

$z=\frac{x}{y}$

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

2 years ago