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

7.4x10^7 in standard form

Answers

Answer: 740000000

Step-by-step explanation:

Answer:

0.000074

7.4×10−5

To write in standard notation, move the decimal point on

7.4

over as many times as the power of ten given.

Move to the left if the given power has a negative exponent

Move to the right if the given power has a positive exponent

Therefore:

7.4×10−5=0.000074

Estimate a 15% tip a dinner bill of $47.64 by rounding a bill amount to the nearest ten dollars

Answers

Answer:

$7.14

Step-by-step explanation:

$47.64 to $47.6

47.6*15/100

=$7.14

(I maybe wrong though lol)

What's the circumference of a
circle with a radius of 2 inches?
Use 3.14 for t.
C = [? ] inches

Answers

Answer:

C = 12.57 inches

:) have a good day

Answer these questions

Answers

c = 1 > 7 =

According to reliable sources.

Answer:

C > 9

Step-by-step explanation:

First Subtract 1 from both sides

2c/3 + 1 -1 > 7-1

= 2c/3 > 6

Now Multiply bith the sides by 3

3 × 2c/3 > 6 × 3

= 2c > 18

Now Divide both sides by 2

2c/2 > 18/2

= c > 9

The answer was already there on the site but maybe you didn't find it

Find the quotient of 15.75 and 4.5?

Answers

Answer: 3.5

Step-by-step explanation: 15.75 ÷ 4.5                                                                   3.5

PLEASE HELP WITH STEPS 25 POINTS!!!!

Answers

Answer:

[tex]1.75+0.25log_{10}a[/tex]

Step-by-step explanation:

Given:

[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]

Simplify:

[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]

log both sides:

[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Answers

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

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


HELP ME PLEASE

r | 6 + 1 =9

please help me this is due tomorrow and it’s my last question!!
if you can’t tell what it says it says R divided by 6 plus one equals 9!

Answers

Step-by-step explanation:

[tex] \frac{r}{6 } + 1 = 9 \\ \frac{r}{6} = 9 - 1 \\ \frac{ r }{6} = 8 \\ r = 48[/tex]

Answer:

r = 48

Step-by-step explanation:

The goal is to get r on one side of the equation.

To do this do the same thing to both sides of the eqaution to keep it in balance.

r/6 + 1 = 9

Subtract 1 from both sides

r/6 = 8

multiply both sides by 6

r = 48

what is the answer ?????​

Answers

Answer:

20%=20/100

       =2/10

       =1/5

35%=35/100

      =0.35

1- Answer : 1/4
all the other answers do not make sense
20 times 6 is 120 and 20 is not 20 percent of that
20 times 4 equals 100
making that 20%
2-0.35
When making a number or percentage into a decimal just put it in the right numeral placing and add a dot when necessary


Hope I helped

what is 2 x 5/8 in fractions i need help

Answers

Answer:

5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.

5/8 x 2 = 1.25

in decimal form.

Step-by-step explanation:

The solution of the fraction is,

⇒ 5 / 4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The fraction is,

⇒ 2 × 5/8

Now, We can simplify as;

The fraction is,

⇒ 2 × 5/8

Multiply as;

10 / 8

⇒ 5 / 4

Thus, The solution of the fraction is,

⇒ 5 / 4

Learn more aboput the multiplication visit:

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I’ll give brainliest and thanks and 5 stars
Solve for c and d.

Answers

Answer:

c = 58, d = 50

Step-by-step explanation:

c = 180 - 50 - 72 = 58

d = 180 - 72 - 58 = 50

Answer:

C = 58

D = 50

Step-by-step explanation:

C is 58 as all angles on a straight line add up to 180 degrees

D is 50 as all angles within a triangle add up to 180 degrees

(72+58 = 130, 180-130 = 50)

I WILL GIVE BRAINLIEST
Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

a.  3

b. -10

c. 0

dddwdwcd

A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Answers

Answer:

answer in the link

Step-by-step explanation:

Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.

Answers

Answer:

80,775

Step-by-step explanation:

I= (22,825) (0.0403) (63)

I= 57,950

P+I=A

I= A+P

I= 22,825 + 57,950

I= 80,775

shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake

Answers

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

100 POINTS Suppose ܶTU is on a coordinate plane located at T(-6,-2) and U(2,-6) Under a dilation of scale factor 1/4, TU becomes T'U' with coordinates T'(-3/2,-1/2) and U'(1/2,-3/2) Where is the center of the dilation located ?

A(0,0)

B(2,2)

C(4,0)

D(4,4)

Answers

c because the center of dilation is the multiplicatory value of the original point

8 × (4^2 + 2) please help

Answers

Answer:

144

Step-by-step explanation:

Using the process PEMDAS I got 144

8 × (4^2 + 2)

First, you solve inside the parentheses, the exponent is the beginning step.

8 x(16+2)

The next step of this equation is adding, which gives us the sum of 18.

8 x 18

Our last step is multiplication.

144 is our product/answer.

if f(x) = (3+x)/(x-3), what is f(a+2)​

Answers

Answer:

B

Step-by-step explanation:

To evaluate f(a + 2), substitute x = a + 2 into f(x), that is

f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex]

Mike can type 1/2 page in 1/6 of an hour. What is Mike's rate per hour​

Answers

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

Answers

Answer:

This Inequality has no solution making it false.

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

5,069=322

False

Hope this helps :)

Answer:

Step-by-step explanation:

The height of above ground level in meters of missile launched vertically,is given by
H(t)=-16t³+100t
At what time is the missile 72m

Answers

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Let h(t) represent the height of the missile above the ground at time t. Given that:

h(t) = -16t³ + 100t

When the height is 72 m:

72 = -16t³ + 100t

16t³ - 100t + 72 = 0

t = 2 seconds and t = 0.8 seconds

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

Find out more on equation at: https://brainly.com/question/2972832

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Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 54.5°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )

how can u calculate 23x4 if the 4 buton is broken?

Answers

Answer:

23x2x2

Step-by-step explanation:

Find the value of 7u-8 given that -4u-5=3

Answers

Answer:

22

Step-by-step explanation:

-4u - 5 = 3

=> -4u = 8

=> u = -2

=> 7(-2) - 8

=> -14 - 8

=> -22

Therefore, -22 is our answer.

Hoped this helped.

Solve the quadratic function by factoring. y = x2 - 2x - 48 First, factor the quadratic. Enter the number that belongs in the green box. y = (x + [?])(x - 1)​

Answers

Answer: y = (x+6)(x-8)

Step-by-step explanation:

-3=2/3(2) what is the answer

Answers

When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator

2/3 + 2/3 = 4/3

Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.

4/3 = 3/3 + 1/3

Divide: 3/3 = 1

1 + 1/3 = 1 1/3

1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)

I will give brainliest who ever answers fastest what is 1+1=?

Answers

Answer:

2

Step-by-step explanation:

Like and give 5 star rating

At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.

Answers

Answer:

Y=-4x+99

Step-by-step explanation:

Your y intercept is always the last number in the equation

The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The slope of the line is calculated as follows:

m = Δy/Δx

Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.

Therefore, the slope of the line is;

m = Δy/Δx

m = 4

The equation in slope-intercept form is;

Y=-4x+99

To know more about the Slope of the line here;

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How to get y intercept from 2 points.

Answers

Step-by-step explanation:

What I don "t" undesrtand

your problem for The

mathematics

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