1. A room is in the shape of a rectangle. The width of the room is 2 feet longer than two thirds the length. If the room is 33 feet long, what is the area?

Answers

Answer 1

2/3 of 33 is 22
so 22 +2 = 24
so 24x33=792
so the area is 792

Answer 2

To calculate the area of the rectangular room with a length of 33 feet and width that is 2 feet longer than two thirds of its length, we first find the width to be 24 feet and then multiply it with the length to get the area of 792 square feet.

Calculating the Area of a Rectangle

The question involves finding the area of a rectangular room given the length and a relationship between the length and width. The room is 33 feet long and the width is stated to be 2 feet longer than two thirds of the length. First, we determine the width by using the length to find two thirds of it and then adding 2 feet:

Width = (2/3)
Length + 2Width = (2/3)
33 feet + 2Width = 22 feet + 2 feetWidth = 24 feet
Now that we have both dimensions, we calculate the area:Area = Length x WidthArea = 33 feet x 24 feetArea = 792 square feet
So, the area of the room is 792 square feet.

Related Questions

based on your schedule having a car will cut your transportation costs enough to squeeze in a 4-Hour shift each weekend at the fast food store paying $9 per hour your estimate that the car will cost you $100 per week to own and operate your take home pay will be 70% of your gross pay it is it worth it to get the car

Answers

yes because each week you get 176.00

Which function represents the graph of y=10(4)x ?

f

g

h

j

Answers

Answer:

Hence the the function that represents the graph of the given function is:

step-by-step-explanation:

We are given graphs of four function.

f,g,h and j and we are asked to find which of the following given four graphs represents the graph of the function:

[tex]y=10\times 4^x[/tex]

Clearly when x=0 we see that the function gives the value.

[tex]y=10\times 4^0\\\\y=10\times 1\\\\y=10[/tex]

Hence when x=0 the graph of the function must pass through 10. i.e. the graph of the function passes through the point (0,10).

Hence the the function that represents the graph of the given function is:

Jon has -8 dollars in his account then adds 12 dollars, how much does he have now?

What does zero represent in your story problem?

Answers

-8 in account
adds 12 dollars

-8 (+12) = 4

Jon now has 4 dollars in his account

i don't know how to explain the zero part well, but it is like the place where your bank have to be in order to not have debt

[HELP!] Your friend competes in a high jump competition at a track meet. The function h= -16t + 18t models the height h (in feet) of your friend after t seconds. After how many seconds is your friend at a height of 4? How many seconds will it take your friend to land on the ground? (Show work please! ^^)

Answers

that would be 212 and then you add the 4 so they would land on.the ground 216 16+16=212+4=216 hope i helped

Timothy recorded the monthly change in his savings account balance, in dollars, for 8 months. Month January February March April May June July August Balance Change (dollars) −30 −15 55 40 −20 −45 −10 65 What is the average monthly change in Timothy's savings account balance? Enter your answer in the box.

Answers

To find the average, we'll sum up all the monthly changes and divide it by the number of months. Summing all the numbers, we get –30 + (–15) + 55 + 40 + (-20) + (-45) + (-10) + 65 = 40.
The number of months is 8. So dividing it by 8, we get
40/8 = 5

So the average monthly change in Timothy's savings account balance is $5.

Answer:

Step-by-step explanation:

took the test

Brennan took a total of 16 pages of notes during 8 hours of class. After attending 10 hours of class, how many total pages of notes will Brennan have in his notebook? Assume the relationship is directly proportional.

Answers

We use unitary method over here. To find out the number pages he writes in 1 hour we should;
16÷8 = 2.
So Brennan writes 2 pages in 1 hour.
Hence, in 10 hours he writes;
2 × 10 = 20.
∴ in ten hours Brennan writes 20 pages.

Jungkook walks 3 1/2 miles in 1 1/4 hours, what is the unit rate? I also want to know how do you find the unit rate?

Answers

Hi there!
Unit rates are basically changes expressed as a quantity of one. For example, if we have something like 100 feet per second or 2 meters per hour, those are unit rates. In this case, we have a multiple-unit rate - 3 1/2 miles in 1 1/4 hours. First off, we need to simplify both fractions to an improper fraction, giving us 7/2 miles and 5/4 hours. Now, we need to divide 7/2 by 5/4.
7/2 ÷ 5/4
Find the reciprocal of 5/4:
7/2 × 4/5
Multiply:
28/10 → 2.8
Therefore, Jungkook walks 2.8 miles in one hour, or 2.8 mi/hour. Hope this helped!

2.8 miles an hour

but legit the name ksksksksks-

Identify the corresponding word problem given the equation: x + 5 = 15 A) Billy is ten years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny? B) Billy is five years older than his sister, Jenny. If Jenny is 15 years old, how old is Jenny? C) Billy is five years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny? D) Billy is fifteen years older than his sister, Jenny. If Billy is 20 years old, how old is Jenny?

Answers

Its C
Billy is 5 years older so if Jenny is x years old then x + 5 = 15.

Answer:

C) Billy is five years older than his sister, Jenny. If Billy is 15 years old, how old is Jenny?

Step-by-step explanation:

Find the value of x so that the figures have the same area.

25ft, x-6 ft

x ft, 15ft

Answers

X=11ft
25-6=14
So ur answer is actually 3

Josh spends 40 cents of every dollar on snacks,14 cents out of every dollar on school supplies and saves the rest. If Josh earns 32.00 per week, how much does he Dave per week

Answers

Dave would have $17.28 because if you add $0.40 and $0.14 you would get $0.54. And if you multiply 0.54 and 32 you would get 17.28.

Josh saves $14.72 per week from his $32.00 earnings after spending on snacks and school supplies.

The student is asking about how much Josh saves per week after spending on snacks and school supplies from his earnings. Josh spends 40 cents of every dollar on snacks and 14 cents of every dollar on school supplies, which totals 54 cents on expenditures out of every dollar he earns. To calculate his savings, we subtract this total expense from the dollar:

1 dollar - 0.54 dollars (expenses) = 0.46 dollars saved.

To find out how much Josh saves from his weekly earnings of $32.00, we multiply his savings rate per dollar by his total earnings:

$32.00 x 0.46 = $14.72 per week saved.

David is buying a new car for $21,349 he plans to make a down payment of 3000 if he's to make a monthly payments of $352 for the next five years what APR has he paid

Answers

The closest I can come to is 5.6850% APR which give you a payment of $352.06

In order to solve this problem, we use the formula for the present value of an annuity:
PV = (p/r) * (1-(1/(1+r)^n)
Where PV=present value, p=periodic payment amount, r=rate of interest, and n =number of payments
We want to find the monthly interest rate, so we set n=60 (12 months x 5 years), and PV = 18,349, which is the amount owed after the down payment
18349 = 352/r * (1-(1/1+r)^60) Multiply both sides by r/352
52.128r=1-(1/(1+r))^60

Solving from here is a doozy, so let's try substitution to find which equality gives us the correct value
Remember that 12r is actually our APR, since r in our function is just the monthly rate of interest, not the annual rate.
Let's try 5%. 0.05 ÷ 12 = .00416
52.128(.00416) ?=? 1-(1/(1+r))^60
.2172 ?=? 1- (1/1.00416)^60
.2172 ?=? .22048
.2172 does not equal .22048, although we're close! Although they are very similar numbers, they are about 1.5% apart, which is a pretty big difference for this problem. Let's try 5.9%, the next closest option, to see if we can get closer.

Let's try an APR of 5.9%, .059 ÷ 12 = .004916
52.128(.004916) ?=? 1- (1/1.004916)^60
.2562 ?=? 1-0.745
.2562 = .2549
Our values are equal within about one thousandth of eachother, for a difference of roughly 0.5%. Based on the other options, this is as close as we're going to get! Keep in mind that there is a lot of rounding that happens in these problems, so the values won't be exactly the same.
Answer is C) 5.9%

Jeremy has two pieces of what one is 90 inches and the other is 72 inches he want to cut the pieces of wood in the smaller pieces to the all the pieces are the same length if you wants the pieces to be as long as possible and doesn't want to have any lumber left over how long should each piece me how many total pieces of lumber will he have

Answers

the gcf of 90 and 72 is 18, so i divided both of them by 18 and i got 4 and 5, in total he would 9 pieces of wood

An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.
a. How much has the angelfish grown?
b. An inch is 1/12 of a foot. How much has the angelfish grown in feet?
40 points!

Answers

The angelfish has grown by 5/6 inches, which is equivalent to 5/72 feet when converted.

The question asks how much an angelfish has grown both in inches and in feet.

Part A: Growth in Inches

The angelfish was originally 1 1/2 inches long and grew to 2 1/3 inches. To calculate the growth, subtract the original length from the current length:

2 1/3 inches (current length) - 1 1/2 inches (original length) = 7/3 inches - 3/2 inches

To subtract, convert to a common denominator (6 in this case): 7/3 becomes 14/6 and 3/2 becomes 9/6,

14/6 - 9/6 = 5/6 inches

So the angelfish has grown by 5/6 inches.

Part B: Growth in Feet

Since 1 inch is 1/12 of a foot, to calculate the growth in feet, multiply the growth in inches by the conversion factor:

5/6 inches * (1 foot/12 inches) = (5/6) * (1/12)

Multiplying these fractions, we get 5/72 feet, which is the growth in feet.

what percentage is equal to 2/5?

Answers

40%

Because, 2/5 equals 4/10. 10x10=100, so 4x10=40, so 40%.

The answer is: "40%" .
___________________________________________________
Explanation:
___________________________________________________

2/5 = x/ 100 ; Solve for "x" ;

Looking at the denominators:

5*(what value) = 100 ? ; 100÷ 5 = 20 ;

So "5*20 = 100" .

So; "2/5 = (2*20)/(5*20) = 40/100 = 40% .

→ Since: 40% = 40/100 = 4/10 = (4÷2)/(10÷2) = 2/5 .
____________________________________________
Alternate method:
____________________________________________
2/5 = 2÷5 = 0.4 .

0.4 = 4/10 = =(4*10)/(10*10) = 40/100 = 40% .
____________________________________________
Alternate method:
____________________________________________
Given: "2/5" ; We look at the denominator and notice it is "5" ; and we known that "5*2" = 10" ;

So, "2/5" = (2*2)/ (5*2) = 4/10 = (4*10)/(10*10) = 40/100 = 40% .
____________________________________________

You bought a large container of fruit punch. The label on the container says there are 128 fluid ounces of fruit punch in the container. How many cups is that?

Answers

1 cup = 8 fluid ounces

128 ÷ 8 = 16

16 cups is your answer

Simplify: -5/4 divided by 2 3/5

Answers

-0.45454545454 to be exact you have to turn the fractions into decimals then divide so you would get a repeated decimal so put -0.45 with a line over the 45

Write a translation rule that maps point D(7,-3) onto point D'(2,5).

Answers

We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'

ANSWER

The translation rule is

[tex]D(x,y)\rightarrow D'(x-5,y+8).[/tex]

EXPLANATION

Let [tex] \binom{x}{y} [/tex]
be the translation vector that maps [tex]D(7,-3)[/tex]
on to [tex]D'(2,5)[/tex].

Then we have the vector equation,

[tex] \binom{7}{ - 3} + \binom{x}{y} = \binom{2}{5} [/tex]

We now solve for
[tex] \binom{x}{y} [/tex]

[tex] \binom{x}{y} = \binom{2}{5} - \binom{7}{ - 3}[/tex]

This simplifies to,

[tex] \binom{x}{y} = \binom{2 - 7}{5 - - 3} [/tex]

[tex] \binom{x}{y} = \binom{2 - 7}{5 + 3} [/tex]

[tex] \binom{x}{y} = \binom{ - 5}{8} [/tex]

Therefore the translation rule is,

[tex]D(x,y)\rightarrow D'(x-5,y+8)[/tex]

Find a counterexample. If two lines are parallel, then they do not intersect. A. If two lines do not intersect, they could be skew. B. If two lines are parallel, they may intersect twice. C. If two lines are parallel, they intersect once. D. The statement is true. There is no counterexample.

Answers

Answer:

The answer would be D.

Step-by-step explanation:

The statement is true. There is no counterexample. Parallel lines never intersect because they are parallel to each other. So, it is impossible for parallel lines to intersect. Hope that answers your question.

A counterexample is an example that is against or opposite the theory. They disapprove of the generalization. In math's counterexample is used to slightly abuse and refers to the example which shows the need to fully hypothesize a theorem.

Such as all prime numbers are odd numbers as number 2 is a prime number but is an even number hence contradictory. As parallel lines are always at the same distance apart and never intersect.

Hence the correct option is B. If two lines are parallel, they may intersect twice.

Learn more about the find a counterexample.

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Which would most likely be graphed using a continuous graph? Check all that apply.
A. total cost, c, of buying b cans of beans
B. total cost, c, of buying g pounds of broccoli
C. speed of a car, s, as it accelerates over time, t
D. number of stamps, s, needed to mail p postcards
E. total distance, d, that has been driven over time, t
F. decrease in outside temperature, F, one evening over time, t

Answers

Answers are B, C, E, F, because the others vary in discrete amounts.

The example that would most likely be graphed using a continuous graph is B, C, E, and F.

What is Discrete and Continuous?

Discrete refers to something that cannot be divided into fractions or decimals. People are an example; you cannot have half a person. We commonly say that distinct items can be numbered.

Continuous is anything that can and must be divided into fractions and decimals. We can measure continuous circumstances, which are called to be measured. Height is an illustration of this.

Now in the given list of examples, the data that is continuous will have a continuous graph. Therefore, the data can be sorted as,

A. total cost, c, of buying b cans of beans

The given example is discrete because you can not buy a half can.

B. Total cost, c, of buying g pounds of broccoli

The given data is continuous because pounds of broccoli can be in decimal form.

C. Speed of a car, s, as it accelerates over time, t

The given data is continuous because the time period can be in decimal form.

D.The number of stamps, s, needed to mail p postcards.

The given example is discrete because you can mail a half postcard.

E. total distance, d, that has been driven over time, t.

The given data is continuous because the time period can be in decimal form.

F. decrease in outside temperature, F, one evening over time, t.

The given data is continuous because the temperature can be in decimal form.

Hence, the example that would most likely be graphed using a continuous graph is B, C, E, and F.

Learn more about Discrete and Continous:

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There were 15 apples in a bowls.dan used some apples to make a pie. Now there are 7apple in the bowl. How many Apple did dan use?

Answers

The answer is 8 apples. Dan used 8 apples.

8 because to get 7 out of 15 apples, you have to subtract the number 15 by 7.

The weight of an elephant is 1000 times the weight of a cat if the elephant weighs 14,000 pound how many pounds does the cat weight

Answers

14 pounds for the cat

If the elephant weighs 14000 and you you divide that by 1000 you get 14 so the cat weighs 14 pounds.

Work: 14,000/1000=14

Jumlah panjang dan lebar suatu persegi panjang adalah 32cm. Sedangkan luasnya adalah 240cm. Tentukan (a) panjang dan lebarnya (b) kelilingnya dan (c) panjang diagonal persegi panjang

Answers

A. p+l = 32 cm maka p = 32 - l
   L = 240 cm
   L = p x l
   240 = 32-l x l
   240 = 32l - l²
   l²-32l+240 = 0
   (l-12)(l-20) = 0
   maka l = 12 atau l = 20
   ambil saja lebarnya = 12 cm
   maka p = 32-l = 32 - 12 = 20 cm
b. Keliling = 2(p+l) = 2 x 32 = 64 cm
c. Diagonal = √p²+l² = √20²+12² = √400+144 = √544 = √16x34 = 4√34 cm

P and L : 12 and 20 cm

Perimeter : 64 cm

Diagonal = 4√34

Further explanation

The playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:

• 1. each angle is equal and is a right angle

• 2. the diagonals intersect and divide each other equally

• 3. sides facing the same length

There are two rectangular shapes namely square and rectangle

Square if all sides are the same length

The formula used in rectangular is:

• 1.Area

Rectangle

[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]

w = width

l = length

Square

[tex]\large{\boxed{\bold{area=a^2}}}[/tex]

a = length of side

• 2. perimeter

Rectangle

[tex]\large{\boxed{\bold{perimeter=2\times(w+l)}}}[/tex]

w = width

l = length

Square

[tex]\large{\boxed{\bold{perimeter=4\times\:a}}}[/tex]

a = length of side

P+L = 32 cm

Area = 240 cm²

Then

P = 32-L

Area = (32-L) x L

Area =32L-L²

240 = 32L-L²

-L²+32L-240=0

L²-32L+240 = 0

(L-12)(L-20)=0

L = 12 or L = 20

Then =P= 20 or 12

B)Perimeter= 2 x (P +L) = 2 x (12+20) = 64 cm

C) Diagonal

Phytagoras :

[tex]\rm diagonal=\sqrt{20^2+12^2}\\\\diagonal=\sqrt{400+144}\\\\diagonal=\sqrt{544}=4\sqrt{34}[/tex]

Learn more

The ratio of the perimeters

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The coordinates of the vertices of a rectangle

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Solve the equation for w

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If y=3-x what is y if x =-4

Answers

The answer to this question is seven

Sub x into the formula for y
y=3-(-4)
y=7
Hope this helps!!

what is the multiplicative inverse of the the fraction 2/7

A. -7/2

B. 0

C. 1

D.7/2

Answers

Multiplicative inverse of fractionsmeans thatthe numerator will go to the place of the denominator and vice versa
Therefore,the multiplicative inverse of 2/7 is 7/2
Therefore the correct answer is D. 7/2

Answer:

D.}7/2

Step-by-step explanation:

I took the test on time4learning in 2022 and got it right hope I helped and more importantly I hope you passed byee!!

Please help with this one

Answers

1. Convert to 0.04, and multiply by 365.

Since I don't want to give the answers, (Some of them I don't understand myself), follow this process for all of the others. For number 2, convert the first exponent equation, and then the second, and multiply both. For number 3, do the same, and then find the average of the product.

Hope this helps, sorry I couldn't be of more help than this.

How do you simplify using the laws of exponents?
Can you show me an example pleaseee

Answers

https://youtu.be/6ieqoMb0kWI

Watch this video hope this helps you.

a slab or ribs at the butcher costs $4.55 per pound how much will it cost if you buy 3.5 pounds of ribs round to the nearest penny

Answers

15.93 because 4.55 times 3 and (4.55/2) so you'll end up with 15.93

sec theta = 11/4, cot theta < 0

Answers

^62 this is right answer

A theater has 28 rows of 38 seats downstairs and 24 rows of 26 seats upstairs. How many seats does he theater have?

Answers

multiply rows by seats for each section then add them

28*38 = 1064

24*26 = 624

1064 + 624 =1688 total seats

The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.

Answers

About 1.204972095x10^20 joules in a year

The total amount of energy produced by the sun in a year will be 11.78 × 10³⁴ joules.

What is the Scientific Notation?

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The total amount of energy produced by the sun in a year can be calculated by multiplying the sun's energy production per second by the number of seconds in a year.

3.8 × 10²⁷ joules/second × 31,000,000 seconds/year

To express this in scientific notation, we can rewrite the number using powers of 10.

3.8 × 10²⁷ × 3.1 × 10⁷

11.78 × 10³⁴ joules

In this expression, the coefficient (11.78 ) is the number of units of energy produced, and the exponent (34) tells us the magnitude of the number. The exponent is based on the base of 10, so the number is 10 to the power of 34 or 1 followed by 34 zeros. This is a very large number and helps to give us a sense of the scale of energy production by the sun.

Learn more about the Scientific Notation here :

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