How many 20 cm by 30 cm rectangular tiles would you need to tile the outdoor are shown below?
I calculated that the area of the shape is 10.95m squared, but the answer in the book (183 tiles) is different then the answer I got.
Where did I go wrong?

Answers

Answer 1
What answer did you get.



Answer 2
Final answer:

The issue was inconsistent units - converting everything to cm squared, the appropriate number of 20 by 30 cm tiles to cover an area of 10.95m squared is 183.

Explanation:

The problem here involves area measurement and conversions. The area of the outdoor space is given in square meters (m²), while the area of the tiles is given in square centimeters (cm²). Therefore, the first step here is to convert all measurements to the same unit.

Since 1 meter is equal to 100 centimeters, we can convert the area of the outdoor space to square centimeters by squaring 100 (which equals to 10,000) and then multiplying it by the area in square meters. That gives us 109,500 cm².

Next, to find the area of a single tile we multiply its length by its width, which is 20 cm by 30 cm, giving us 600 cm². The number of tiles needed will be the total area divided by the area of one tile. So, 109,500 cm² divided by 600 cm² equals to about 182.5.

Since we cannot have a half tile, we round up that number to 183 tiles. Therefore, the correct answer is 183 tiles.

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Related Questions

Multiply and reduce to lowest terms? 1. 2 1/7 * 4 3/8 = user: 10 1/4 - 9 5/6 =

Answers

number 1 is 9 3/8

10 1/4-9 5/6 is 5/12 hope it helps

Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be a better deal?

Answers

r1 = 35*d + .10*m, rental car company 1r2 = 25*d + .25m, rental car company 2
r1 will be a better deal when when r2 > r1r2 > r1 when35*5 + .10*m > 25*5 + .25m5(35-25) > (.25 - .10)m5*10 > (.15)m50/.15 > mm > 50/.15 = 33 1/3
Ans. When 33 1/3 miles have been driven, rental car company r1 will be a better deal.

Answer:

She need to drive more than 2000 miles for the first rental company to be a better deal .

Step-by-step explanation:

Case 1) One car rental company offers a flat rate of $35 per day plus $0.10 per mile

Let m be the no. of miles

She will need the car for 5 days.

So, total cost = [tex]35 \times 5 +0.10m=175+0.10m[/tex]

Case 2)  Another car rental company offers the same car for $25 per day plus $0.25 per mile.

Let m be the no. of miles

She will need the car for 5 days.

So, total cost = [tex]25 \times 5 +0.25m=125 +0.25m[/tex]

Now we are supposed to find How many miles would she need to drive for the first rental company to be a better deal?

So, [tex]175+0.10m <125 +0.25m [/tex]

[tex]175+125 <125 +0.25m-0.10m [/tex]

[tex]300 < 0.15m [/tex]

[tex]\frac{300}{0.15} < m [/tex]

[tex]2000 < m [/tex]

So, she need to drive more than 2000 miles for the first rental company to be a better deal

What is the value of the function y=2x−3 when x=−1 ?

Answers

Hello :)

When x=-1
y=2×(-1)-3=-2-3= -5



If a and b are parallel lines and m <3 = 128º, what is the measure of <8?

A) 134º
B) 54º
C) 52º
D) 49º

Image Bellow :-)! thanks in advance! =]

Answers

Final answer:

Given the information that angle 3 is 128 degrees and lines a and b are parallel, angle 8 would also be 128 degrees. But none of the provided options matches 128 degrees, implying missing or incorrect information in the question.

Explanation:

In geometry, if lines are parallel, the corresponding angles are equal. Given that a and b are parallel lines and angle 3 is 128°, if angle 8 corresponds to angle 3, angle 8 would also be 128°. However, the possible values provided don't include 128°. Therefore, there seems to be insufficient information or a mistake in the question to give a definite answer. All possible answers: A) 134º, B) 54º, C) 52º, D) 49º - don't match with 128º. Perhaps there's an intermediary step or piece of information missing.

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What is another way to write the expression 82p

Answers

Maybe the answer is 80 × p
Final answer:

To convert 82 pints to quarts, divide 82 by the conversion factor of 2, which provides the result of 41 quarts.

Explanation:

To rewrite the expression 82p where p represents pints into quarts, first understand that pints are smaller than quarts. Because there are 2 pints in a quart, you use division for the conversion. Since the conversion factor is 2, you would divide the number of pints by 2 to find out how many quarts that is.

To convert 82p, divide 82 by 2:

82 ÷ 2 = 41

Therefore, 82 pints is equal to 41 quarts.

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A linear model projects that the number of bachelor's degrees awarded in the United State will increase by 19,500 each year. In 2001, 1.28 million bachelor's degrees were awarded. Use the inverse function to predict the number of years after 2001 that 1.7 million bachelor's degrees will be awarded.

Answers

Final answer:

The linear model predicts that approximately 22 years after 2001 (around the year 2023), 1.7 million bachelor's degrees will be awarded annually in the U.S.

Explanation:

The problem is related to the mathematical concept of linear modeling. This model is represented by the function f(x) = 19500x + 1.28 million, where x is the number of years after 2001 and f(x) is the number of bachelor's degrees awarded in that year. The objective is to calculate 'x' when f(x) is 1.7 million. To do this, we use the inverse function.

The inverse function of f(x) = 19500x + 1.28 million is the function x = (f(x) - 1.28 million) / 19500. Substituting the known value f(x) = 1.7 million into the equation, we get: x = (1.7 million - 1.28 million) / 19500 ≈ 21.54. Since we cannot have a fraction of a year, we round this up to the next whole number.

Therefore, according to the linear model, it will be approximately 22 years after 2001, i.e., in the year 2023, when the number of bachelor's degrees awarded is expected to reach 1.7 million.

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Final answer:

Using the linear model, it is predicted that 1.7 million bachelor's degrees will be awarded approximately 22 years after 2001, which corresponds to the year 2023.

Explanation:

To predict the number of years after 2001 that 1.7 million bachelor's degrees will be awarded using a linear model, we start with the initial number of degrees awarded in 2001, which is 1.28 million. According to the model, the number of bachelor's degrees increases by 19,500 each year. We set up the equation: 1.28 million + 19,500x = 1.7 million. Here, x represents the number of years after 2001.

Solving for x gives us:
1.7 million - 1.28 million = 19,500x
420,000 = 19,500x
x = 420,000 / 19,500
x ≈ 21.54

Thus, it will take approximately 22 years after 2001 for 1.7 million bachelor's degrees to be awarded, which means this is expected to occur in the year 2023 (since 2001 + 22 = 2023).

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Find the measure of each exterior angle for a regular pentagon. Round to the nearest tenth if necessary.
A. 540 C. 360
B. 108 D. 72


Answers

I hope this helps you

The requried exterior angle of a regular pentagon measures 72 degrees. Option D is correct.

What is a polygon?

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length and an equal measure of angle at the vertex.
Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,

The measure of each exterior angle for a regular pentagon can be found by using the formula: exterior angle = 360 / number of sides.

For a regular pentagon, the number of sides is 5, so the formula becomes, exterior angle = 360 / 5 = 72 degrees.

Therefore, each exterior angle of a regular pentagon measures 72 degrees.

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How do you write 2010 in word form

Answers

2010 in written form would be twenty (20) ten (10).
Two thousand ten i think

What is the completely factored form of 2x2 – 32?

Answers

I hope this helps you

Answer:

[tex]2(x+4)(x-4)[/tex]

Step-by-step explanation:

The given expression is [tex]2x^2-32[/tex]

The GCF of the expression is 2. Hence, we can factor out 2

[tex]2(x^2-16)[/tex]

Now, we can write 16 as a perfect square

[tex]2(x^2-4^2)[/tex]

Apply the difference of squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]2(x+4)(x-4)[/tex]

Therefore, the factored form of the given expression is [tex]2(x+4)(x-4)[/tex]

find the numbers preceding and succeeding the following number.... B0B base 12 ?

Answers

Our decimal system is base 10 and has digits from 0 to 9

For a 12 base system you have to add two digits. They will be A and B.

So the numbers of three digits that start with B are B01, B02, B03, B04, B05, B06, B07, B08, B09, B0A, B0B, B10, B11, ...

I made a long sequence to help you see more clearly how it works, but you only need to see that the number before and after B0B are B0A and B10.

That is the answer: B0A and B10.

holly can make 3 necklaces with 6 diamonds. if holly has 30 diamonds, how many necklaces can she make?

Answers

Holly can make 60 necklaces.

Edit: I read the problem wrong, check the other comment.
She can make 15 necklaces.

If Holly has 30 diamonds and she needs 6 to make 3 necklaces, you do 30 ÷ 6 = 5. You then take 5 × 3 to give you the amount of necklaces she can make, which is 15.

Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145. which does he like:

Answers

Ralph would choose any number that is a perfect square.

The pattern Ralph likes is that he prefers numbers that are perfect squares. A perfect square is an integer that is the square of an integer. For example, he likes 25 because it is 52, 400 because it is 202, and 144 because it is 122. Numbers like 24, 300, and 145 are not perfect squares and therefore are not liked by Ralph.

To determine which number Ralph would like from a given list, you should identify which numbers are perfect squares. For instance, between the numbers 146 and 144, Ralph would like 144 as it is a perfect square (122) whereas 146 is not a perfect square.

A biologist took a count of the number of fish in a particular lake, and recounted the lake’s population of fish on each of the next six weeks.

Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.


P(x) = 13x^2 – 10x + 350; 917 fish
P(x) = 13x^2 – 10x + 350; 1,102 fish
P(x) = 18x^2 + 10x + 300; 1,252 fish
P(x) = 18x^2 + 10x + 300; 1,532 fish

Answers

The two equations for which the given number of fist is satisfied when x = 8 is plugged in are:
P(x) = 13x^2 – 10x + 350
and
P(x) = 18x^2 + 10x + 300

Now, we can only decide which is correct if we have additional information, specifically if we know the number of fish initially. If it is 350, option B is correct and if it is 300 then option D is correct.

Answer:

P(x) = 13x2 – 10x + 350; 1,102 fish

Step-by-step explanation:

Plug in week 8 for x.

[tex]P(x) = 13 * (8)^{2} - 10(8) - 350 =[/tex]

[tex]P(x) = 13 * 64 - 80 + 350 =\\\\ P(x) = 832 - 80 + 350 = 1102[/tex]

3/5 of the village speaks one of the 8 major languages. What fraction of the world speaks a language other than one of the 8 major languages?

Answers

2/5 is the answer to the question

0.00000768 is the correct answer, depending how you do it.

76 is what percent of 95

Answers

Take 76 over 95, and then multiply by 100% to get your answer.
(76/95) * 100%= 80%
its 80% of 95.

hope this helps you

Solve using quadratic formula. X^2+9x-13=0

Answers

I hope this helps you

There were 7 field goals made in 14 attempts. how many goals should be made in 8 attempts

Answers

there would be 4

hope this helps you
To get from 14 to 8, you divide by 7 and multiply by 4. Thus, if you divide 7 by 7 (1) and multiply it by 4 (4), you get 4 field goals in 8 attempts. Hope this helps!

If after turning off a applications the download speed increase to 0.15gb min will you be able to download the entire game now

Answers

Final answer:

To determine if you can download an entire game with a download speed of 0.15GB per minute, divide the total game size by the download speed. For a 1.5GB game, it would take 10 minutes to download at this speed.

Explanation:

Calculating whether you can download an entire game based on the download speed and the game's size is a problem that falls under the subject of Mathematics. To determine if the game can be fully downloaded, you would need to know the total size of the game. For instance, if the game is 1.5GB and your download speed is 0.15GB per minute, you can calculate the time it would take to download the game by dividing the total size by the download speed. In this example:

Total game size: 1.5GB

Download speed: 0.15GB/min

Time to download = Total size / Download speed = 1.5GB / 0.15GB/min = 10 minutes

Therefore, with a download speed of 0.15GB per minute, you would be able to download a 1.5GB game in 10 minutes. If you have enough time before you need to use the game, you will be able to download the entire game now.

1) what is the volume of a cylinder with a radius of 2 cm and a height of 10 cm? ( Express your answer using symbol pie)

A) 4(symbol pie) cm^3
B) 10(symbol pie) cm ^3
C) 20(symbol pie) cm ^3
D) 40(symbol pie) cm ^3

2) a cylinder has a base with a radius of 3 cm and a height of 12 cm. what is the volume of the cylinder? ( use symbol pie=3.14)

A) 113.04 cm^3
B) 339.12 cm^3
C) 452.16 cm^3
D) 1356.48 cm^3

3) A cylinder has a base with a radius of 3 cm and a height of 12 cm. what is the volume of the cylinder? ( use symbol pie=3.14)

A) 113.04 cm^3
B) 339.12 cm^3
C) 452.16 cm^3
D) 1356.48 cm^3

4) A cylinder and a rectangular prism have the same volume and same height. The base of the prism is a square with length 7 cm.

what is the approximate radius of the cylinder?

A) 4.0 cm
B) 3.5 cm
C) 2.2 cm
D) 1.5 cm

Answers

I hope this helps you

Answer:

1 a 2 d 3b 4 c

Step-by-step explanation:

sorry it took me 6 years to get back to you

Select the number property that will justify the following expression.

If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?

a. transitive
b. idenity addition
c. communitive addition
d. associative - addition

Answers

I believe this may be what your looking for ;-)

Select the number property that will justify the following expression.


If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?

commutative - multiplication used twice

The Commutative Property of multiplication justifies the rearrangement of factors in a multiplication problem, such as changing cba to abc.

If cba represents three numbers multiplied together, the c. Commutative Property of multiplication allows you to rearrange the factors to read abc. This property states that the order of factors can be switched without changing the product, meaning ab = ba. The options provided in the query (transitive, identity addition, and associative - addition) are not related to multiplication or the rearranging of factors.

What decimal is equivalent to 5/6?

Answers

 in decimals is 0.83333333333333333333333333

Given this triangle find angle B to the nearest tenth of a degree if b=8 and c=12.

Answers

arcsin(8/12)=arcsin(2/3)=41.8°
the degree of angle B is 41.8°. Hope that helps. 

Change 5000 meters to kilometers.

Answers

The answer I would say would be 5 kilometers.
5000 meters is 5 kilometers. 

Round 430 to nearest thousand

Answers

Since 4 would be the digit needed to round and 4 is below 5, you would round down to get 0

Answer:

430 rounded to nearest 1000 = 0  

Step-by-step explanation:

Rounding of a number means writing a number which is closely equal to given number but easy to represent and calculate.

We are given the number 430 and we have to round off this number to the nearest thousands.

The place value chart for this number is:

Place Value:            Hundreds     Tens    Ones

            430:                  4                 3         0

Thus, it is clear that 430 does not have a thousands value. Thus, we have zero at thousands place. Thus, we have have to round of zero at thousands place.

Since this, number have no thousands value, when we round it off to nearest thousand we get 0.

430 rounded to nearest 1000 = 0

which of the following is a correct equation for the line passing through the point (-3,2) and having slope m=2/3.

Check all that apply.

A.) y-2=2/3(x+3)
B.) 2x-3y=-12
C.) y=2/3x+4
D.) y=2/3x

Answers

y-2=2/3(x+3)
2x-3y=-12
y=2/3x+4

Answer:

Step-by-step explanation:

Given : [tex](x_1,y_1)=(-3,2)[/tex]

          [tex]m=\frac{2}{3}[/tex]

Solution:

Equation of line:[tex]y-y_1 = m(x-x_1)[/tex]

Substituting the given values

⇒[tex]y-2= \frac{2}{3}(x-[-3])[/tex]

⇒[tex]y-2= \frac{2}{3}(x+3)[/tex]  --A

⇒ [tex]3y-6= 2x+6[/tex]

⇒ [tex]2x-3y = -6-6[/tex]

⇒[tex]2x-3y =-12[/tex]   ---B

⇒[tex]2x+12 =3y[/tex]

⇒ [tex]\frac{2x+12}{3} =y[/tex]

⇒ [tex]\frac{2}{3}x+4 =y[/tex] ---C

Hence Equation A ,B and C are the correct equations

if g(x)= 5-x^2 what's g(g(x))

Answers

g(x) = 5 - x^2
g(g(x)) = 5 - (5 - x^2)^2
g(g(x)) = 5 - (5 - x^2)(5 - x^2)
g(g(x))= 5 - (25 - 10x^2 + x^4)
g(g(x))= -x^4 + 10x^2 - 20

What percent of 72 is 45

Answers

72 = (x/100)45.
72 = (45/100)x.
x = 72(100/45)
x = 160%

Mike has an adjusted gross income of $85,643. He claims two exemptions and can deduct $896 for state income tax, $2,145 for charitable donations, and $3,473 for medical expenses. If the standard deduction is $5,700 and exemptions are each worth $3,650, what is Mike’s total taxable income? a. $72,643 b. $75,479 c. $71,829 d. $66,129

Answers

The real answer is C. $71,829. Just took the engenuity test.

Final answer:

Mike's total taxable income is $71,829.

Explanation:

To calculate Mike's total taxable income, we need to subtract his deductions and exemptions from his adjusted gross income. According to the given information, his adjusted gross income is $85,643. He claims two exemptions, which are each worth $3,650, so the total exemption amount is $7,300. He can deduct $896 for state income tax, $2,145 for charitable donations, and $3,473 for medical expenses. Thus, the total deduction amount is $6,514. Therefore, Mike's total taxable income is:



Total taxable income = adjusted gross income - (deductions + exemptions)

Total taxable income = $85,643 - ($6,514 + $7,300)

Total taxable income = $85,643 - $13,814

Total taxable income = $71,829



So, the correct answer is c. $71,829

Write the scientific notation in numerals.

5.82 x 102

Answers

i think the answer you are looking for is 582
10^2 mean the decimal in 5.82 the decimal is moved two places to the right (positive exponents= right, negative= left) so the answer is 582.0 or just 582 :)

Which of the following represents the set of possible rational roots for the polynomial shown below?

2x³+5x²-8x-10=0

a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10}
b. {±1/2, ±1, ±2, ±5/2, ±5, ±10}
c. {±1, ±2, ±4, ±5, ±10, ±20}
d. {1/2, 1, 2, 5/2, 4, 5, 10, 20} ...?

Answers

The rational roots are involved by dividing the factors of the constant term by the factors of the coefficient of the monomial of highest degree. Thus, the only possible set of rational roots is given by B.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer:

Option b is correct

Step-by-step explanation:

Given the polynomial

[tex]2x^3+5x^2-8x-10=0[/tex]

we have to find the set of possible rational roots for the polynomial.

Rational root theorem states that if P(x)  has any rational roots then they must be of form

[tex]\pm{\frac{\text{Factor of }a_0}{\text{factors of }a_n}[/tex]

Here [tex]P(x)=2x^3+5x^2-8x-10[/tex]

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

Possible rational roots are

[tex]\{\pm1, \pm\frac{1}{2}, \pm2, \pm\frac{5}{1}, \pm\frac{5}{2}, \pm 10\}[/tex]

Option b is correct

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