The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What is the length and breadth of the pool?

Answers

Answer 1
Let:
P be the perimeter of the pool
L = length of the pool
B = breadth of the pool

Given
======

P = 2L + 2B = 154 m
L = 2 + 2B

P = 2(2 + 2B) + 2B ……. Substitute
154 = 4 + 4B + 2B ……. Distribution
154 = 4 + 6B ……… Add like terms
154 - 4 = 6B
150 = 6B

150/6 = 6B/6 …….. Divide both sides by 6

25 = B …. Breadth

L = 2 + 2B
L = 2 + 2(25) = 2 + 50
L = 52

Length = 52 and breadth = 25


Related Questions

WILL GIVE BRAINLIEST IF CORRECT!! Evaluate. (3/8 + 3/4) - (1/3 + 1/6) Enter your answer as a fraction in simplest from by filling in the boxes

[ ]
[ ]

Answers

The answer is 5/8.

9/8 - (1/3+1/6)
9/8 - 1/2 =

= 5/8

Answer: 5/8

Step-by-step explanation: 3/8 + 3/4=9/8 then 1/3+1/6=1/2 then you subtract both answers 9/8-1/2=5/8

Find the slope from the graph.

-1/2


-4/3


3/4


-3/4

Answers

Answer: 3/4

Step-by-step explanation:

To find the slope from the graph, we need to look at the rise and run of the line. The slope is the ratio of the vertical change (rise) to the horizontal change (run).

Let's analyze the given options:

-1/2: This means that for every 2 units the line moves horizontally, it moves down 1 unit vertically.

-4/3: This means that for every 3 units the line moves horizontally, it moves down 4 units vertically.

3/4: This means that for every 4 units the line moves horizontally, it moves up 3 units vertically.

-3/4: This means that for every 4 units the line moves horizontally, it moves down 3 units vertically.

So, from the given options, the slope is 3/4. This indicates that for every 4 units the line moves horizontally, it moves up 3 units vertically.

Remember, the slope of a line is a measure of how steep the line is. It tells us how much the line is rising or falling as we move along the x-axis.

Use the slope formula to solve this question:

The slope formula is as followed:

y₂ - y₁

x₂ - x₁

where (x₁, y₁) and (x₂, y₂) are two sets of coordinates

Pick the two points on the line:

(0, 5) (4, 2)

Now, plug them into the equation and solve:

y₂ - y₁

x₂ - x₁

[tex]\frac{2-5}{4-0}[/tex] = [tex]\frac{-3}{4}[/tex]

The slope of the line is -3/4

WILL GIVE BRAINLIEST IF CORRECT! Evaluate. (7/12 + 1/3) - (1/2 + 2/8) BTW this question is from k12.

Answers

Answer: 1/6 I hope this helps you!!!

Here is your answer

How many solutions does this equation have? 6h−(9−3h)=6−3(h+2) Responses infinitely many infinitely many 1 0

Answers

Answer: It only has one answer.

Step-by-step explanation: If you try to solve this more than one way, the answer will be the same.

This equation only has one answer and again im not good at math

A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?

2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100

Answers

Step-by-step explanation:

16 over 18 equals over 100

4.5 L of orange juice is needed to add to 18 L of pineapple juice to make the fruit juice recipe with the ratio of 2 parts orange juice to 8 parts pineapple juice. The correct option is B.

What is an expression?

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

The correct proportion that can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion is based on the ratio of 2 parts orange juice to 8 parts pineapple juice in the recipe. We can use this proportion to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice by cross-multiplying:

2/8 = j/18

2 × 18 = 8 × j

36 = 8j

j = 4.5

Therefore, 4.5 L of orange juice is needed to add to 18 L of pineapple juice to make the fruit juice recipe with the ratio of 2 parts orange juice to 8 parts pineapple juice.

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I'm confused about how to graph the depth (in cm) part. There are odd and even numbers so I don't know what number to go by. My teacher told us to graph continuous numbers.

Answers

Go up by 3’s and if you have one that doesn’t land on a 3 put it between the two numbers if that makes sense
You have to divide the x 5 e of the opposite opinion

Marcus has a 48-ounce soda. He drinks 15 ounces. What is the percentage of ounces Marcus has left from his soda? Round your answer to the nearest tenth.
A) 68.8
B) 45.6
C) 86.8
D) 34.9

Answers

Answer: A) 68.8%

Step-by-step explanation:

48-15=33

He has 33 oz of soda left. Divide 33/48 and then multiply by 100 to get a percentage. you get 68.75% but you have to round up the the nearest tenth so it will be 68.8%

answer:A

48-15=33

therefore he has 33 ounces left. so to work out the percentage you do the amount left divided by the total x100

33/48 x100 = 68.75

Because the answer wants the result rounded it will round up the the nearest 10th the be 68.8 which is A

this is not a function

True
False

Answers

Answer:

false

Step-by-step explanation:

EXAM I FORGOT THE SECOND PART

b) x -7 = 4 + 10


d) 70 = 7m


f) 12 – c = 8


h) 2y + 3y = 4 – 6 – 13



j) 8 = m/4


l) f + 4 = –6

Answers

Answer:

b)21

d) 10

f) 4

h) -3

j) 32

f) -10

Step-by-step explanation:

b) x -7 = 4 + 10

x = 14 + 7

x = 21

d) 70 = 7m

70 ÷ 7 = 70m ÷ 70

10 = m

f) 12 - c = 8

12 - 8 = c

4 = c

h) 2y + 3y = 4 - 6 - 13

5y = -15

5y ÷ 5 = -15 ÷ 5

y = -3

j) 8 = m/4

8 × 4 = m

32 = m

I) f + 4 = -6

f = -6 - 4

f = -10

Answer:

b .21

d.m= 10

f.c=

h.-3

j.32

l.-10

Step-by-step explanation:ok so this easy enough just take a deep breath

b. x -7 = 4 + 10

= x = 4+10+7 => 21

d. 70 = 7m

=> m = 70/7. =>M= 10

f. 12 – c = 8

=> c = 12-8 => c=4

h. 2y + 3y = 4 – 6 – 13

= > 2y +3y = -15

=> 5y = -15

= > y=-15/5

=> y= -3

j. 8 = m/4

= > m = 8 x 4

=>m= 32

l) f + 4 = –6

= f = -6-4 => -10

Apply Laws of Exponents to write an equivalent expression.
d^6df^0
1. d^7df
2. d^7
3. f^7
4. d^6f

Answers

Answer: 4

Step-by-step explanation:

i think it is 4

I think it’s 4 I don’t know tho i just started learning this

The bill for a group of people at a steakhouse was $275.00 before the tip was added. The group wants to add a 22% tip. What will the total bill be, including the tip?

Answers

Answer: $335.50

Step-by-step explanation:

22 percent of 275 is 60.5

add 60.5 to 275 and you get $335.50

A 24-sided regular polygon has an angle measure represented as 5g°.

Determine the value of g.

g = 33
g = 165
g = 36
g = 180

Answers

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n= 24\\ \theta = 5g \end{cases}\implies (24)(5g)=180(24~~ - ~~2) \\\\\\ 120g=180(22)\implies g=\cfrac{180(22)}{120}\implies {\Large \begin{array}{llll} g=33 \end{array}}[/tex]

The sum of all interior angles inside an "n" number of sides polygon is 180(n - 2) thus the measure of g will be 33 so option (A) is correct.

What is an angle?

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

The sum of all interior angles inside an "n" number of sides polygon is 180(n - 2).

Given that a polygon with a number of sides is 24.

And the measure of one angle is 5g.

Sum of all angles = 24(5g).

24(5g) = 180(n - 2)

120g = 180(24 - 2)

g = (18/12)(22)

g = 33

Hence "The sum of all interior angles inside an "n" number of sides polygon is 180(n - 2) thus the measure of g will be 33".

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Jayda takes 5 hours to deliver 400 newspapers on her paper route. What is the rate per hour at which she delivers the newspapers?

Answers

Answer: 80 papers an hour

Step-by-step explanation:

100/5=20

80*5 is 80

Answer:

80 newspapers per hour

Step-by-step explanation:

Find out how many newspapers she delivers in one hour.

Do this by dividing how many newspapers she delivered on her route by the total amount of time: Total papers/total hours.

Then substitute: 400/5

This leads to the answer: 400/5=80

Alex's book has an area of 88 square inches. What are the length and wide measurements of the book?

Answers

length is 11 inches
width is 8 inches
length: 11 in
width: 8 in

For how many games is the total cost of bowling for one person equal for the two bowling establishments?

Answers

Answer:

If there is a amount for the bowling for one person then just multiply it by two

Step-by-step explanation:

Say m equals the amount for one person to bowl

for two people do

m X 2 = amount of money for two people to bowl.

If there is a amount for the bowling for one person then just multiply it by two
Step-by-step explanation:
Say m equals the amount for one person to bowl
for two people do
m X 2 = amount of money for two people
to bowl.

Which of these numbers equals 8 divided by (-1/8) A.-64 B.-1 C.1 D.64

Answers

Answer:

A. -64

Step-by-step explanation:

Dividing negative fractions get really complicated, so, step by step explanation:

8 / (-1/8)= 8 * (-8) Using the KCF formula (Keep, Change, Flip)= -64.Your answer would be -64.
-64 The answer is A which is -64

PLEASE HELP IT'S DUE TODAY

The two points on the graph are given by the function f.


a) Use the two points to find the equations that represents the function f.


b) What is f(6) ?

Answers

Answer:

f(6) = 2/3

Step-by-step explanation:

f(6) is equal to the x coordinate being 6, which means you have to use the pattern to find the y coordinate, im not sure if that makes sense but I tried

Answer: 2/3

Step-by-step explanation:

f(6) is equal to x coordinate so you have to use the pattern to find y

One out of every 9 light bulbs is defective.
What constant of proportionality relates defective bulbs to total bulbs?

Answers

The answer is very simple you can simply put it as 0.1

The constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

What is Constant Proportionality?

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Given:

One out of every 9 light bulbs is defective.

Total bulbs = 9

So, Defective bulbs = 1

Thus, Constant of proportionality = Defective bulbs / Total bulbs.

Constant of proportionality = 1 / 9

Hence, the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

Learn more about constant of proportionality here:

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Malia has $10 to spend at the fall carnival. She decides to order an ice cream cone for herself and one for her sister.

a. If the cost of each ice cream cone is $2.35, how much will she spend on the ice cream cones? Write an equation and solve.


b. How much change will Malia receive? Write an equation and solve.

Answers

Answer:

Malia's allowance changed from $10.00 to $(10 - 2x) after buying ice cream cones.

Step-by-step explanation:

We are given the following information:

Malia's allowance to spend at carnival = $10.00

Ice cream ordered by her = 2

Let x dollars be the cost of one ice cream cone.

Total money spent on ice creams =

Formula:

change in Malia's allowance = total allowance - money spent on ice cream cones = 10 - 2x

Thus, Malia's allowance changed from $10.00 to $() after buying ice cream cones.

malia will spend 4.70 and have 5.30 in change

Find the slope from the graph:



Question 4 options:

-1/3


1/3


11/9


2/3

Answers

the answer is m=1/3.
Answer: 1/3

How to find Answer: There are two ways to solve this you can but -4+7 over 0-9 getting you 3/9 which you can simplify to 1/3 or you can just count the rise and run as it goes up 1 and over 3.

-2m^3 n^2t to the power of 4

Answers

answer : 2^4m^12/n^8

here it is in picture form to help.

explanation:

Negative number raised to an even power is positive

For example let's look at (-7)6 , where (-7) , a negative number, is raised to 6 , an even exponent :

(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 76 which is positive.

We proved that (-7)6 is equal to (7)6 which is a positive number

Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved

2.2 m3 raised to the 4 th power = m( 3 * 4 ) = m12

2.3 n2 raised to the 4 th power = n( 2 * 4 ) = n8

3lb. peppers 1 lb. onions 2 lb. broccoli 1 lb. mushrooms 1 bag of white rice Price Per Pound Total Price

Answers

Answer: 3+1+2+1= 7lb=$7

I believe this is the answer you were looking for.

3+1+2+1+1=7lb=$7
Is this the answer your looking for

6 divided by 2 (1+2) = what?

Answers

Answer:

1

Step-by-step explanation:

[tex]\frac{6}{2(1+2)} \\\frac{6}{2(3)} \\\frac{6}{6} \\= 1[/tex]

6by 2×1+2×2

6by 2+4

6by 6

=1ans

Jorge says there are 198 inches in 5.5 yards. Is he correct. Explain your answer. Show your work.

Answers

Answer: yes, he is correct

Step-by-step explanation:

since there is 36 inches in 1 yard, we will multiply 5.5 by 36 to find out how many inches are in 5.5 yards. since 5.5 yardsx36 inches in one yard=198 inches, Jorge is correct.

Yes, he is correct, because if in one yard is 36 inches, and half a yard is 18 inches, if you multiply 36 by 5, you get 180. Then add the half yard of 18 to have 5.5 yards, or 198 inches. :)

Estimate 6.278 − 4.278 by rounding to the nearest whole number.

Answers

Answer:

2

Step-by-step explanation:

Estimate 6.278 − 4.278 by rounding to the nearest whole number.

6.278 rounds to 6

and 4.278 rounds to 4 so:

6 - 4 = 2

Check: 6.278 − 4.278 = 2

It’s 2 bing bong bing bing

Best friends Olivia and Sylvia both get weekly allowances. Olivia's and Sylvia's allowances are in the ratio 2 : 3. If Sylvia gets $21 one weeks, how much did Olivia get? Use tape diagram to help organize you thinking.

Answers

Answer:

14

Step-by-step explanation:

Olivia would get $14 because one week is equal to 7 days and since the ratio is 2 : 3, we can assume that Oliva gets $14 a week since 7 x 2 = 14.

^^^^^^^^^^^^^^^ agree

A toy store purchases wagons from a wholesaler for $35.50. The store plans to mark up the wagons 40%. Find the selling price of the wagons.

Answers

Answer:

$49.70

Step-by-step explanation:

$35.50 × 1.4 = $49.70

Estimate 5.209 + 2.667 by rounding to the nearest whole number.

A: 13

B: 8

C: 5

D: 7

Answers

Answer:

8

Step-by-step explanation:

bc I am very smartt >:))

Answer:

its 8 cause the answer you get is like 7.8 somethin round the up and you get 8

Step-by-step explanation:

Find the sum of the interior angles for an octagon.

1,080°
1,260°
1,440°
1,620°

Answers

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=\stackrel{octagon}{8} \end{cases} \implies S=180(8-2)\implies S=1080[/tex]

What the person said above me

add a symbol to compare the two values
A. 18 _ |-28| (ABSOLUTE VALUE NUMBER)

Answers

Answer: <

Step-by-step explanation: as it absolute we disregard the negative sign

The answer is: <
because every absolute value number is positive so |28| = 28 and also |-28| = 28
so 18 < |-28| becomes 18 < 28
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