An olympic-size swimming pool is a rectangle that measures 50 meters in length and 25 meters in width. Make a scale drawing of an olympic-size swimming pool where 1 centimeter represents 5 meters. What are the length and width of your scale drawing?

Answer:

Converse- If q, then p. Contrapositive- If not p, then not q

Step-by-step explanation:

Let's say your conditional is if an angle is 90 degrees then it is a right angle.

Then the converse is, if an angle is a right angle then it is 90 degrees.

Finally, the contrapositive is if an angle is not 90 degrees then it is not a right angle.

Answer:

x = 4

Step-by-step explanation:

Cancel common factor of 9,

(x/5)=(4/5)

Multiply both sides by 5,

(5x/5)=(20/5)

Simplify to get x = 4

Answer:

1- it is irrational

2- it is rational

Answer:

Step-by-step explanation:

Hey There!! ~ （。＾▽＾）

The answer to this is: [tex](- 2, - 7)[/tex]

Explanation: [tex]3x^{2} + 12x 5[/tex]

[tex]y = 3( x + 2)^{2} - 7[/tex]

  [tex]3( x + 2) ^{2} - 7[/tex]

[tex]a = 3[/tex]

[tex]h = 2 \ - 7[/tex]

[tex]k = - 7[/tex]

Hope It Helped!~

Good Luck With Your Assignment~

Answer:

Write the mixed number as a decimal. 83/5

16.6

Answer: k = $0.50

Step-by-step explanation:

The data that we have is:

Rocko paid: $12.50 for 25 tickets.

Louisa paid: $17.50 for 35 tickets.

Now, the question asks to find the constant of proportionality.

A proportional relation can be written as:

y = k*x

where k is the constant, and in this case, y is the price and x the number of tickets bought.

Then replacing with the values above, we have:

$12.50 = k*25

then:

k = $12.50/25 = $0.50

And the other data:

$17.50 = k*35

K = $17.50/35 = $0.50

So we have the same k in both cases, this means that the constant of proportionality is k = $0.50

Answer:

[tex]n=1[/tex]

Step-by-step explanation:

[tex]8n - 5 = -2n + 5[/tex]

First, add 5 to both sides.

[tex]8n-5+5=-2n+5+5\\[/tex]

[tex]8n=-2n+10[/tex]

Then, add 2n to both sides.

[tex]8n+2n=-2n+10+2n[/tex]

[tex]10n=10[/tex]

Finally, divide both sides by 10.

[tex]\frac{10n}{10}=\frac{10}{10}[/tex]

[tex]n=1[/tex].

Answer:

[tex]n=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]8n-5=-2n+5[/tex]

First, add 2n to both sides. The right side cancels:

[tex]10n-5=5[/tex]

Add 5 to both sides:

[tex]10n=10[/tex]

Now, divide both sides by 7:

[tex]n=1[/tex]

And we're done!

Answer:

[tex]x=3/2=1.5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]49=7^{2x-1}[/tex]

Note that 49 is the same as 7 squared. Thus:

[tex](7)^2=(7)^{2x-1}[/tex]

Since they now have the same base, the exponents must be equal to each other. So:

[tex]2=2x-1[/tex]

Add 1 to both sides:

[tex]3=2x[/tex]

Divide both sides by 2:

[tex]x=3/2=1.5[/tex]

And we're done!

Answer:

12x+17

Step-by-step explanation:

3(4x+5)+2

12x+15+2

12x+17

ANSWER:

12x+17=y

Step-by-step explanation:

12x+15+2

12x+17

Hey there!

[tex]Answer:\boxed{2x-28}[/tex]

[tex]Explanation:[/tex]

[tex]2x-30+2[/tex]

Let's start off by simplifying.

[tex]2x+-30+2[/tex]

Now let's combine like terms.

[tex]2x+-30+2\\(2x)+(-30+2)\\2x+-28\\2x-28[/tex]

[tex]\boxed{2x-28}\text{ is your answer.}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer:

No

Step-by-step explanation:

Times the numerator and denominator by 2. 6 does turn into 12, but 9 doesn't turn into 16. Therefore, these fractions are not equivalent.

Answer:

There is one solution.

Step-by-step explanation:

x equals only one number which is 0 so there is one solution if there was like 0 = 0 it would be infinite if it was two different numbers, it would be no solutions.

Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7 -x - 3 = 12

-x - 10 = 12

-x = 22

x = -22

5 - ( x - 2 )

substitute -

5 - ( -1 -2 )

first solve the bracket

5 - ( - 1 - 2 )

therefore,

5 - ( - 3 )

solve

= 8

hope that helps !

Answer:

132 ft per second

Step-by-step explanation:

180 miles in 2 hours

180 miles = 950400 ft.

2 hours = 7,200 secs.

950400 ft in 7,200 secs

Answer:

5

Step-by-step explanation:

Answer:

8.33333333333

Step-by-step explanation:

Answer:

The length RS = 7

Step-by-step explanation:

Here, we are interested in determining the length of RS

Let’s have the line segment arranged as follows;

Q R S

where QR = 9 and QS = 16

From the arrangement, we can deduce that;

QS = QR + RS

Thus;

RS = QS - QR

RS = 16 -9

RS = 7

Answer:

the answer is 20

Hope it helps

Answer:

1/16 or 0.0625

Step-by-step explanation:

we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.

Answer:

0.0625

Step-by-step explanation:

[tex]4^{4}[/tex] ( [tex]4^{-7}[/tex] ) (4)

First lets deal with 4^4 which is 256 (4 * 4 * 4 * 4)

256 ( [tex]4^{-7}[/tex] ) (4 )

Then 4^-7 which is [tex]\frac{1}{16384}[/tex] ( this is because when 4^-7 is simplified it becomes 1/4^7 which is 1/16384.

256 ( [tex]\frac{1}{16384}[/tex]) (4)

256 * [tex]\frac{1}{16384}[/tex] * 4= 0.0625

HOPE THIS HELPED

Answer:

i think this is it

Step-by-step explanation:

Answer:

x=-7 has a multiplicity of 2 and x=7 has a multiplicity of 3

Step-by-step explanation:

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

Thus the value of [tex](fg)(x) = x^3 -4x^2 -16x -64[/tex] , and the domain is a set of real numbers.

The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.

The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain.  The set of codomains is called a range.

      Example : [tex]f(x) = 4x+ 3[/tex]

All those values of a set for which a function is defined are called a domain.

According to the question :

[tex]f(x) = 16 - x^2\\ g(x) = 4 - x.[/tex]

[tex](fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64[/tex]

Thus the value of [tex](fg)(x) = x^3 -4x^2-16x-64.[/tex]

Learn more about function here :

https://brainly.com/question/30721594

# SPJ2

Answer:

1 and 4, 2 and 3, and 5 and 0.

Step-by-step explanation:

Counters are used by educators to teach children how to do calculations like addition, subtraction, multiplication and division. Using color counters help to visualise the result from the operands in a calculation.

To get the pairs of numbers that adds to 5.

- Use the first color counter to mark out the five ones on the sheet.

- then with the second color counter, subtract one from the five ones.

- repeat the first two steps and increment the subtracted value until it gets to five.

Answer:

1/10

Step-by-step explanation:

First, find the probability of choosing the red pen:

There are 6 total pens and 3 are red, so the probability will be 3/6

This can be simplified to 1/2

Then, find the probability of choosing a blue pen after not replacing the red one:

There are 5 total pens now, since we did not replace the red one.

There is only 1 blue pen, so the probability is 1/5

Then, multiply these 2 probabilities together:

1/2(1/5)

= 1/10

So, the probability is 1/10