A queen-sized mattress is 20 inches longer than it is wide. A king-sized mattress is
16 inches wider that the queen-sized mattress but has the same length. The area
of the king sided mattress is 1,280 square inches more than that of the
queen-sized mattress. Determine the dimensions (length and width) of both the
king-sized and queen sized mattresses.

Answers

Answer 1

Answer:

queen's width = 60 in

queen's length = 80 in

king's width = 76 in

king's length = 80 in

Step-by-step explanation:

-queen's wide = ???

-same length = queen's wide + 20

king size:

-king's wide = queen's wide + 16

-same length = queen's wide + 20

queen's area = x

king's area = x + 1280

area = width * length

let's call queen's width and king's width "qw" and "kw" respectively

let's call queen's length and king's length "ql" and "kl" respectively

Q area:

qw * (qw + 20)

qw² + 20qw = x

K area:

(qw + 16) * (qw + 20) = x + 1280

qw² + 36qw + 320 = qw² + 20qw + 1280

qw² - qw² + 36qw - 20qw = 1280 - 320

16qw = 960

qw = 960 / 16

qw = 60

ql = 60 + 20

ql = 80

kw = 60 + 16

kw = 76

kl = ql

kl = 80


Related Questions

Potential energy is described as

Question 1 options:

Stored energy


Decreasing energy


Movement


Friction

Answers

Answer:

Stored energy

Step-by-step explanation:

I NEED TO FINISH THESE BY NEXT WEEK>

Answers

Answer:

domain is (2,-3)

range is (1)

Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.

Answers

Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.

The New York Nicks had a streaky season. They began by winning 4 games in a row, and then they lost 12 games in a row. After those 12 losses, they won every game, finishing with 3 wins for every 2 losses overall. How many games did they win after the first 16 games?

Answers

Using proportions, it is found that they won 14 games after the first 16 games.

This question is solved by proportions, using a rule of three.For each 3 games they won, they lost 2.They lost 12 games, all on the losing streak, and won x games.

Hence, the rule of three is:

2 losses - 3 wins

12 losses - x wins

Applying cross multiplication:

[tex]2x = 3(12)[/tex]

[tex]x = \frac{36}{2}[/tex]

[tex]x = 18[/tex]

18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.

A similar problem is given at https://brainly.com/question/24372153

Liam rented a surf boar which cost $12.50/hour plus a one-time service fee. He used the board or 5.5 hours and paid a total of $93.75.

Use this information to write an equation (in slope-intercept form) which represents how the rental cost is calculated.

Answers

Answer:

y = 12.5x + 25

Step-by-step explanation:

first, we need to find the cost of the one-time service.

12.50*5.5 = 68.75

93.75 - 68.75 = 25

therefore, the one-time service fee is $25.

liam had to pay $12.50 every hour and thats where we get 12.5x from.

he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.

hope it helps :)

mark brainliest!!

Answer:

if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..

Answers

Answer:

Seems correct to me. I color coded the various terms.

Step-by-step explanation:

[13x³ came by adding 9x³ and 4x³]

12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3x

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

Answer:

quadratic

Step-by-step explanation:

Do number 6. This is not a quiz

Answers

Answer:

C

Step-by-step explanation:

B .  -A .   -b .   -b .   +a .   +b .   +c

b + b -b -b +a -a +c

c

What is the slope of the red line if the green is 2/3

Answers

answer: b) -3/2

explanation: perpendicular line have the opposite reciprocal of the line.

Answer:

a

Step-by-step explanation:

Letting x represent the number of messages over 500, and y the total monthly charges, write

equations representing the charges for plans A and B.

Answers

Answer:

x=500

Step-by-step explanation:

recent ecological survey showed that the ratio of deer to foxes was 7 to 3 in one county in Texas. If there were 210 foxes in the county, what was the number of deer in the county?

Answers

Answer:490

Step-by-step explanation:

A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator​

Answers

Answer:

A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator

− 2 5 x − 9 < 9 10 solve and show work please I need help

Answers

Answer:

= -36.4

Step-by-step explanation:

- 25 x - 9 < 910

Add 9 to both sides

- 25 x < 919

Divide -25 to both sides

- 25 / - 25 < 919 / - 25

= -36.4

For the equation y = -x +5, find y when x = -3

Answers

Answer:

y= 8

Step-by-step explanation:

y= -x +5

To find the value of y when x= -3, substitute -3 into x and solve the equation.

When x= -3,

y= -(-3) +5

y= 3 +5

y= 8

can you convert the following
1/8 to decimal and percent
and show work

Answers

Answer:

0.125 as a decimal and 12.5% as a percentage

Step-by-step explanation:

1 divided by 8 to get decimal and for percent take the value and multiply it by 100

An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

Round 70.74 to 2 significant figures

Answers

The answer is 71 since you count from the tenth space. So the first significant figure would be 7 and the second significant figure would be 0. As we know that we round up one number of the previous number is 5 or bigger.

Pls tell me the answer and step by step too cus I don’t understand, thank u.

Answers

Step-by-step explanation:

if c =-11:

-(-11)-3=11-3=8≥-5.5

so the right answer is -c-3≥-5.5

1. During a thunder storm, the amount of rain on the ground increased at an average rate of 0.25
inch per hour. There was already 4.5 inches of rain on the ground when the storm started.
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?

Answers

PROBLEM SOLVING[tex]__________________________[/tex]What is Asked

What is the total amount of rain on the ground, in inches, after 8 hours of the storm?

GivenAverage Rate of Rain on Inch Per Hour = 0.25The Rain on the Ground = 4.5Time of Raining = 8 hoursOperationMultiplication and AdditionNumber Sentence(0.25 x 8) + 4.5= 2 + 4.5= 6.5Final AnswerHence, the total amount of rain is 6.5 inches.

The width of a rectangle measures (7f-4)(7f−4) centimeters, and its length measures (2f+5)(2f+5) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

Perimeter is 18f+2

Step-by-step explanation:

Given : rectangle having width (7f-4) and length (2f+5)

To Find : Expression For Perimeter = ?

Solution : We know that, perimeter  of rectangle is 2(L+B)

-> 2(7f-4+2f+5)

-> 2(9f+1)

-> 18f + 2

I hope this helps.

Select the values that make the inequality n > 1 true.
(Numbers written in order from least to greatest going across.)

Answers

All of the answers from 1-9

8. Twice the greatest of three consecutive integers is 10 more that the smallest integer. Find the 3 integers.

Answers

Answer:

6, 7, 8

Step-by-step explanation:

Let the smallest integer be x.

The next greater one is x + 1.

The greatest of the three is x + 2.

Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.

2(x + 2) = x + 10

Solve the equation for x to find the smallest of the integers.

2x + 4 = x + 10

x = 6

The next one is x + 1.

x + 1 = 7

The greatest is x + 2.

x + 2 = 8

Answer: 6, 7, 8

Answer:

6, 7, 8

Step-by-step explanation:

You can set up variables to represent each of these integers.

For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.

Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.

Next solve for x using PEMDAS.

1. (x) + 10 = 2(x + 2)

2. x + 10 = 2x + 4

3. 2x - x = 10 - 4

4. x = 6

Now you can find the other integers by adding 1 and 2 to 6.

The correct answers should be 6, 7, 8.

True or false: The relationship among the triple constraint variables is such that if any one changes, at least oneother is likely to be affected.

Answers

We want to see if the statement "The relationship among the triple constraint variables is such that if any one changes, at least one other is likely to be affected." is true or false. This is true.

A relationship among the triple constraint variables is written as:

y = f(x, z)

Where the 3 variables are x, y, and z and represent cost, scope, and time.

This means that if either x or z changes, also does y.

And we always can rewrite the relationship in two other forms:

x = g(z, y)

z = h(x, y)

Then we can see that always that one variable changes, at least one other variable changes in response, then the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/25368922

A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the percent decrease

Answers

Answer:

50% decrease

Step-by-step explanation:

50% = half

half of 42 is 21

there are 21 left, so 21 (which is half or 50%) were adopted

solve the system of linear equations 3x-2y=16
6x-4y=32

Answers

Step by Step Solution

System of Linear Equations entered :

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

// Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Infinitely many solutions

Answer:

Step-by-step explanation:

[1] 3x - 2y = 16

[2] 6x - 4y = 32

Solve equation [2] for the variable x

[2] 6x = 4y + 32

[2] x = 2y/3 + 16/3

Plug this in for variable x in equation [1]

[1] 3•(2y/3+16/3) - 2y = 16

[1] 0 = 0 => Infinitely many solutions

Answer number 2 please.​

Answers

Answer:

Obtuse scalene triangle

Step-by-step explanation:

1. Angles:

-> Acute triangle: all angles less than 60° -> Right triangle: one angle is 90° -> Obtuse triangle: one angle is greater than 90°

- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.

2. Sides:

-> Scalene triangle: all sides have different lengths-> Isosceles triangle: two sides have same length-> Equilateral triangle: all sides are the same

- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.

Therefore, the answer is an obtuse scalene triangle.

Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

3095.6 ft³

Step-by-step explanation:

Volume cone = 1/3(πr²h)

                      = 1/3(π(13.9)²(15.3))

                      = 1/3(π(193.21)(15.3))

                      = 1/3(2956.113π)

                      = 985.371π ≈ 3095.6 ft³

-Chetan K

PLEASE HELP ME WITH THESE MATH PROBLEMS!! DUE TONIGHT!!

Answers

Answer:

a) 20.9ft b)148.5ft c)98.2ft d)50.3

Step-by-step explanation:

for a, b and c you can use SOHCAHTOA

a) sin(8)=height/150 so height=150sin(8)

b)cos(8)=distance/150 rearrange the same way

c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle

d) subtract the value found in c from the value found in a

a,√361/529 b,√240 c,√72 ​

Answers

Answer:

a. 19/28 or .826.

b. 4 times √15 or 15.492

c. 6 times √2 or 8.485

Step-by-step explanation:

does the graph represent a function? yea or no

Answers

Answer:

No

Step-by-step explanation:

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