The length of a rectangular swimming pool is p m and its width is q m. It is given that the length of the swimming pool is twice its width. If the perimeter of the swimming pool is 150 m, find the values of p and q.

(**please use the simultaneous linear equations in two variables to solve this question)

**if you have answer this question I will choose you to be the brainlest answer** ​

Answers

Answer 1

Answer: q = 25 m, p = 50 m

Step-by-step explanation:

p is the length, and q is the width.Since the length is twice as long as the width, we can come up with the equation: p = 2qSince the perimeter is 150, we can also come up with this formula since the perimeter is all sides added together: 2p + 2q = 150Since we have two equations, we can just plug them into each other. First, let's substitute the 2q in the second equation with p that is defined in the first equation: 2p + p = 150If we simplify that, we get: 3p = 150Now we know that p = 50 m.Now, if you plug in 50 into the first equation you get: 50 = 2q.Next, just simplify, and you know that q = 25 m.Therefore, p = 50 m, q = 25 m.


Related Questions

what is the value of x+7 when x=3?

Answers

Answer:

10

Step-by-step explanation:

Replacing x for three (x=3) would make the equation then read 3+7

Answer:

The answer is 10.

Step-by-step explanation:

You have to substitute x = 3 into the expression :

[tex]x + 7[/tex]

Let x = 3,

[tex]3 + 7 \\ = 10[/tex]

A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2/25. How many blue marbles are in the bag?


2

3

5

6

Answers

Answer:

6 blue marbles

Step-by-step explanation:

Given;

Total number of marbles N = 15

probability of randomly selecting a green marble

P(G) = 1/5

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25

P(G∩B) = P(G) × P(B)

P(B) = P(G∩B) ÷ P(G)

The probability of selecting a blue marble

P(B) = 2/25 ÷ 1/5 = 2/5

The number of blue marbles N(B) = P(B) × N

N(B) = 2/5 × 15 = 6

There are 6 blue marbles

A two digit number is written at random what is the probability that the number will be odd

Answers

Answer:

50%

Step-by-step explanation:

So there are 90 2 digit numbers. There are 45 2 digit odd numbers.

The probability should be 50%

Please answer the question below and show your work!
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|
|
v

Answers

Answer:

10

Step-by-step explanation:

F + V − E = 2

Where F is the number of faces, V is the number of vertices and E is the number of edges

F + 16 - 24 = 2

Combine terms

F -8 = 2

Add 8 to each side

F -8+8 =2+8

F = 10

A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?

Answers

Answer: $23,600. ; $318,600

Step-by-step explanation:

From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.

The value of the increase will be 8% of $295,000. This can be mathematically written as:

= 8% of $295,000

= 8/100 × $295,000

= 0.08 × $295,000

= $23,600

The current value of the house will be:

= $295,000 + $23,600

= $318,600


what is x is the top is 5m​

Answers

Answer:

6 m

Step-by-step explanation:

So

S = 42 = 1/2*h*(a+b) = 1/2 * h * (5+9)

h = 6m

Find the distance between the two points in simplest radical form.
(-3, -4) and (-7, -9)

Answers

Answer:

√41 units

Please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

√ [41]

Step-by-step explanation:

Determine how much x and y each change, and then apply the Pythagorean Theorem to find the length of the hypotenuse (which is also the desired distance between the two points):

Moving from (-7, -9) to (-3, -4), x increases by 4 and y increases by 5.

Thus, the length of the hypotenuse / distance between the two points) is

d = √ [4² + 5² ] = √ [41]

what is the transitive property

Answers

Answer:

the transitive property of uniformity reveals to us that on the off chance that we have two things that are equivalent to one another and the subsequent thing is equivalent to a third thing, at that point the primary thing is additionally equivalent to the third thing. The recipe for this property is in the event that a = b and b = c, at that point a = c.

I have attached the definition below with an example too.

Sally's basic cable plan costs $55 a month and an additional $3 for each premium channel.
Cable plan B costs $60 and an additional $2.50 for each premium channel. Which plan is
cheaper if Sally wants to order 10 premium channels?

Answers

Step-by-step explanation:

Sally is paying $55 + $3×10 = $85 currently

if she switches to plan B the she will pay $60 + $2.50×10 = $85

That shows both of the cable plan costs same for monthly payment + 10 premium channels

Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers)

How much will he pay in all?

Answers

Answer:

No of Monthly payments it would take to pay off his credit card = $94.601 per month

Step-by-step explanation:

If Ramiro made monthly payments at the end of each month, how long would it take to pay off his credit card?

No of Monthly payment it would take to pay off his credit card = nper(rate,pmt,pv,fv)

No of Monthly payment it would take to pay off his credit card = nper(18.24%/12,10,-500,0)

No of Monthly payment it would take to pay off his credit card = $94.601 per month.

If f(x) = 5x - 4 and g(x) = 4x + 1, find (f - g)(x).

Answers

Answer:

Step-by-step explanation:

5x - 4 - (4x + 1)

5x - 4 - 4x + 1

x - 3

4/5 of 30 =

2/9 x 45 =

24 x 1/6 =

Answers

Answer:

1) 24

2) 10

3) 4

Step-by-step explanation:

4/5 of 30 = 24
2/9 x 45 = 10
1/6 x 24 = 4


Two planes are flying away from Toronto Pearson International Airport. The Air Canada
plane is flying with an average speed of 800 km/h in the direction of N30°W and the
British Airways plane is flying with an average speed of 750 km/h in the direction of
545°W. Assuming that the planes left at the same time, using different runways, how
far apart (to the nearest km) are the two planes after 90 minutes? N30°W means the angle
between north and west is 30° and 545°W the angle between south and west is 45°.

Please help ASAP!

Answers

Answer:

1832 miles

Step-by-step explanation:

First we need to find the angle between the routes of the planes.

If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:

30 + angle + 45 = 180

angle = 105°

Then, we need to find the distance travelled by each plane, using the formula:

distance = speed * time

The time is 1.5 hours, so we have that:

distance1 = 800 * 1.5 = 1200 km

distance2 = 750 * 1.5 = 1125 km

Now, to find the distance between the planes, we can use the law of cosines:

distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)

distance^2 = 3356214.43

distance = 1832 miles

Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a = 2 and r = 3
a5 = [?]

Answers

Answer:

162

Step-by-step explanation:

Since the ratio is 3, the terms are 3 times the term before.

So the answer is 2*3^4 = 162

PLEASE HELP!!

According to the graph, what is the value of the constant in the equation below?

Answers

Answer:

C. 0.4

Step-by-step explanation:

Hope this helps :3

(feedback is very helpful ^w^)

The Second Statement is the ____ of the first.

Answers

Answer:

inverse because if your switching the order up it would be inverse

Step-by-step explanation:

can someone lemme borrow their heart i been feeling lonely and i just want to be loved

Answers

Yes

explanation:

same

Answer:

yes, of course.

Step-by-step explanation:

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Help ASAP!! I WIILL GIVE BRAINLIEST look at attached question! Thx x

Answers

Answer:

c= 3/5(n)+2.5

Step-by-step explanation:

Let

c -----> the cost of some taxi journeys

n ----> the number of miles

we know that

The graph is a line

The equation of a line in slope - intercept form is

c=m(n)+b

where

m is the slope

b is the c-intercept (value of c when the value of n is equal to zero)

Observing the graph  we have the points

(0,2.5), (5,5.5)

Find the slope

The formula to calculate the slope between two points is equal to

m= c2-c1/n2-n1

substitute the values

m=5.5-2.5/5-0

m=3/5

we have

b=2.5 -----> because the point (0,2.5) is the c-intercept

substitute in the equation of slope-intercept form

c=3/5(n)+2.5

I hope that gives you your answer please mark me brainliest :)

The answer appears incorrect, please help me correct it :)

Answers

Every line on the graph is 1/2 unit.

When y = 0, x would be -0.25 and 1.25

When y = 2, x would be -0.5 and 1.5

How much will it cost in Canadian dollars to purchase €2000 at a bank that charges a 2.2% commission on the transaction? Use an exchange rate of $1 Canadian equals €0.711142.

Answers

Answer:

$2,874.25 Canadian dollar

Step-by-step explanation:

The first thing to do here is to calculate the amount of the commission.

That would be 2.2% of €2,000

= 2.2/100 * €2,000 = €44

Now the total cost to pay = selling price + amount in commissions = €2,000 + €44 = €2,044

But we need our answer in the Canadian dollars

Mathematically;

$1 Canadian = €0.711142

$x Canadian = €2,044

x = (2,044 * 1)/0.711142

x = 2,874.25014975912

This is approximately $2,874.25 Canadian dollar

If you randomly select a letter from the phrase "Do not run on Ichiro," what is the probability that you select a vowel? (Your answer must be in the form of a reduced fraction.)

Answers

Answer: 7/16

Step-by-step explanation:

Vowels: A, E, I, O, and U.

Number of Vowels in the phrase: "Do not run on Ichiro": 7

Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16

For probability it is selected amount/  total amount

So 7/16, and this fraction is in its most simplified (reduced) form.

If this helped please mark me brainliest  

The probability is [tex]7\div 16[/tex]

The calculation is as follows:

Vowels: A, E, I, O, and U.

Number of Vowels in the phrase: "Do not run on Ichiro": 7

Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16

So, the probability is the same.

Find out more information about the probability here: https://brainly.com/question/795909?referrer=searchResults

Which expression is not equivalent to 3(n + 6)

Answers

Answer:

3n + 6

Step-by-step explanation:

So the simplified version is 3n + 18

3n + 6 X

3n + 18 = 3n + 18

2n + 8 + n + 10 = 3n + 18

2(n + 6) + 6 + n = 3n + 18

All of them except the first are EQUIVALENT.

Answer:

3n+6 is not equivalent.

Step-by-step explanation:

what two numbers are located exactly 3/2 unfits from 1/2 on the number line?

Answers

Answer: One of the numbers would be 2, and the other would be -1.

Step-by-step explanation: Looking at a number line, you can move 3 half units in either direction of the original point, in this case being 1/2, to find your answers

If Andre made another countryard scale drawing at a scale of 1 to 12, would this drawing be smaller or larger than the first drawing ? Explain your reasoning.

Answers

Answer:

smaller

Step-by-step explanation:

If Andre is using a scale of 1:12 then we can safely say that the courtyard drawing will be smaller than his first drawing. This is because this scale means that for every 12 units of measurement on the original the newer version will be 1 unit of measurement. Therefore making the new drawing 12 times smaller than the first one that Andre made.

He local zoo has 23 animals it can take on visits to schools and other community centers. How many ways can the zoo directors choose 9 animals for a trip to a middle school?

Answers

Answer:

207

Step-by-step explanation:

Carol rolled a dice 150 times she rolled a six 29 times
Use carols data to estimate the probability of rolling a six with this dice
Give your answer as a fraction

Answers

Answer:

If Carol rolled a six 29 times in total (out of the 150 dice rolls) then the fraction would be 29/150

Step-by-step explanation: I think

Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 13 of its length. What is the length and the height of the wall?

Answers

Answer:

l=30ft

h=10ft

Step-by-step explanation:

Area 'A' is defined as the product of length and height

[tex]A=lh=300ft^2\\h= \frac{1}{3} l[/tex]

[tex]\\300=l( \frac{1}{3}l)\\300=\frac{1}{3} l^{2}\\900=l^{2}\\30=l\\l=30ft\\\\h= \frac{1}{3}(30)\\h=10ft[/tex]

Thus,  the length and the height of the wall is 30 ft and 10 ft respectively.

Can you help show me where they belong ? pls help asap

Answers

y=3x, y=(2/7)x,-0.5=y are all on direct the other ones are on the other side i just did the question they correct. :)

how many seconds are in 2.5 hours​

Answers

Answer:

9000 sec.

Step-by-step explanation:

There are 60 sec in an hour and 60 sec in a min:

60 × 60 = 3600

Multiply 3600 to 2.5:

3600 × 2.5 = 9000

Therefore, there are 9,000 sec in 2.5 hrs.

the answer is 9,000 seconds

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

4^15/ b^21

Step-by-step explanation:

( b^7 / 4^5) ^ -3

b^7 ^ -3  / 4^5^-3

We know that x^y^z = x^ (y*z)

b^ (7*-3) / 4^(5*-3)

b ^ -21 / 4 ^ -15

We know that a^ -b = 1/ a^b

We do not like to leave negative exponents

1 * b^21  * 4  ^15

4^15/ b^21

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