Mathematics Middle School

**The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room are in the ratio 4 :3: 2. The combined area of these three rooms is 189 square feet. What is the area of each room?

Answers

Answer 1

Answer:4 : 3 : 2

x - area unit

area of the kitchen = 4x

area of the playroom = 3x

area of the dinning room = 2x

The combined area of these three rooms is 189 ft².

Therefore we have the equation

4x + 3x + 2x = 189

9x = 189    |:9

x = 21 ft²

area of the kitchen = 4x = 4(21) = 84 ft²

area of the playroom = 3x = 3(21) = 63 ft²

area of the dinning room = 2x = 2(21) = 42 ft²

Step-by-step explanation:

Answer 2

Answer:4 : 3 : 2

x - area unit

area of the kitchen = 4x

area of the playroom = 3x

 

area of the dinning room = 2x

 

The combined area of these three rooms is 189 ft².

Therefore we have the equation

4x + 3x + 2x = 189

9x = 189    |:9

x = 21 ft²

area of the kitchen = 4x = 4(21) = 84 ft²

area of the playroom = 3x = 3(21) = 63 ft²

area of the dinning room = 2x = 2(21) = 42 ft²

Step-by-step explanation:

Related Questions

Use algebra tiles to model and solve 4x + 7 = 23.

Answers

Easy multiply 4x4 then add 7 the you get the answer

Create 2 riddles about the layers of the atmosphere use the video from yesterday and your notes.

Criteria for Succes:
1. 2 different layers of the Atmosphere.
2. Riddle must be at least 3 lines.
3. Riddle must contain at least 3 facts.

Answers

Answer:

I protect you from ultraviolet radiation from the sun, without me you would essily get more sunburned,skin cancer and catracts who am i?

i have the coldest tempature in the atmosphere,i become cold enough to freeze water vapor in its atmosphere into ice clouds,these ice clouds are blue and white. who am i?

Step-by-step explanation:

Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y = 3.96x + 2. How many cars were in the garage at 4 am.

A) 1

B) 2

C) 3

D) 4

Answers

Answer:

b) 2 i think ! If im right Please give me brainlyist! Ty! (btw i worked out the problamo so im right!

Step-by-step explanation:

I really think its B first i though it was c but its V

A company gives yearly raises to their employees. The salaries at the company are based on the equation below, where S is the salary before taxes and t is the time since the date of hire in years.

S = $33,113 + $600t

What is the minimum number of years an employee would have to stay to make a salary of over $40,000 per year?

Answers

Answer:

An employee would have to work 20 years in order to receive an annual pay of $45,000

(16(t^4) (k^12))^(0.25)

Answers

Answer:

[tex]2tk^{3}[/tex] is your answer

I hope this helped :)

A three-pack of sponges costs $3.21. What is the cost per sponge

Answers

Answer:

0.93

Step-by-step explanation:

Pls HELP, im stuck(picture included)

Answers

Answer is x = (355*r^-35)/7 hope led me know if you have any questions
The answer would be
X=355*r^-35) /7

Carly purchased 9.5 pints of ice cream for a party. If each guest will be served exactly 3/5 pints of ice cream, what is the greatest number of guests that Carly can serve?

Answers

Answer: 15 guests

Explanation: To get this, you do 9.5/0.6 and that'll give you 15.833333 etc.. however since it is not a complete 16 you round down and get 15 guests.

tell carly to hide the ice cream

Can someone plz help me with this problem I will really appreciate your help !!

Answers

There were 78 bags of red grapes if there were 36 bags of red grapes..

The ratio would be 12 to 26 bags of grapes and 36 to 78 bags of grapes so the answer would be 78 bags

is 18% of 8 gallons higher or lower to only 70% of ONE gallon?

Answers

Answer:

lower

Step-by-step explanation:

willy owns 15 T-shirts, 3 of which are blue.

If willy randomly selects a T-shirt to wear, what is the probability it will be blue?

Write your answer as a fraction or whole number.

Answers

Answer:

1/5

Step-by-step explanation:

If 3/15 of his shirts are blue it means that those are the odds of him picking a blue one (at random)

3/15 = 1/5

answer:

part: 3

whole: 15

3/15 --> 1/5

FINAL ANSWER:

1/5

-- let me know if you have questions regarding this.

PLEASE HELP !!!!!!!!!! I'LL GIVE BRAINLIST!!!!!!

Answers

I belive the answer is 56

Answer:  56 sorry im not so sure

You roll a number cube 20 times. Which scenario is least likely?

You find the experimental probability of rolling an even number to be 0.25.

Or

You find the experimental probability of rolling an odd number to be 0.5.

Answers

the first one because you have an equal chance of getting off and even number. So the first one is least likely to occur
It will be the first one

I wll give Brainliest

Answers

Answer:

7/4//6/21 (probably)

Step-by-step explanation:

pls correct me

and probably dont try this answer

A heron flies in a straight path for 5 min. at a constant rate of 2,000 ft. per min., and then flies another 6 min. at a constant rate of 3,000 ft. per min. How far does the heron fly during those 11 min.?

A. 22,000 ft.
B. 24,000 ft.
C. 26,000 ft.
D. 28,000 ft.

Answers

I believe it is ‘D’. 5 x 2000 = 10,000. 6x 3000 = 18,000. 18,000 + 10,000 = 28,000.
D

Explanation: 5 x 2000 = 10000
3000 x 6 = 18000
18000+10000= 28000

HELPPPPPPPPPPPPPPPP ASAP I AM DEAD

Answers

The last one is you’re anwser 16p 3 slices a piece

Answer:

(from top to bottom) Options 2 & 5

Step-by-step explanation:

Option 1: "...each player will get 4 slices of pizza, with 2 slices left over"

48/10 = 4.8

'4.8' meaning 4 pizza slices for each player w/ 8 slices left over.

THIS OPTION IS INCORRECT

Option 2: "...each player will get 4 slices of pizza, with no slices left over"

48/12 = 4

'4' meaning 4 pizza slices for each player w/ no left overs

THIS OPTION IS CORRECT

Option 3: "...each player will get 3 slices of pizza, with no slices left over."

48/15 = 3.2

'3.2' meaning 3 pizza slices for each player w/ 2 slices left over.

THIS OPTION IS INCORRECT

Option 4: "...each player will get 3 slices of pizza, with 3 slices left over."

48/15 = 3.2

'3.2' meaning 3 pizza slices for each player w/ 2 slices left over.

THIS OPTION IS INCORRECT

Option 5: "...each player will get 3 slices of pizza, with no slices left over."

48/16 = 3

'3' meaning 3 pizza slices for each player w/ no left overs.

THIS OPTION IS CORRECT

Hope this helped ^^

Help with my math i will mark brainliest

Answers

The answer is $15 more per T-shirt

The answer should be 15$ per shirt

The population for Rainbow City is 36,000. The growth rate is 3%. About how many people will it have after 5 years? Use the exponential formula y=a(1+r)^2

Answers

Answer:

After 5 years the population will be 41,733 but i dont know how to use that in the formula hope this helped

Step-by-step explanation:

Write an explicit rule for the geometric sequence with the given information:
a^7=768 r= -2
A=_·(_)^n-1

Answers

Answer:

i cant even look up the answer

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: The slope is 0.5 Or 1/2

Step-by-step explanation:

Yeah the slope is 0.5 or 1/2 because it rises up one and runs two to meet the other point on the line

ooooooooooooooooooooooooooooooooo

Answers

Answer:

The answer is c. 6

Step-by-step explanation:

8+40=48

2x2x2=8

48/8=6

Answer:

6

Step-by-step explanation:

(x+40)/2 to the 3rd power x=8

(8+40)/8 get the other 8 by multiplying 2x2x2

48/8=6

one fish, two fish, red fish... got eaten by a bigger fish! someone has been eating all the little fish in the pond! At the beginning of the day there were 90 little fish in the pond. At the end of the day there were 52 little fish in the pond. Find the percent decrease from the beginning of the day to the end of the day. Round to the nearest percent.
A).40% C).42%
B).41% D).43

Answers

Answer:

i think its C but idrk

Step-by-step explanation:

I believe it’s c) 42% but I need someone to double check it

so i have to do integer math and Im not really good at it

Answers

Answer:

-25, 22, -65, 0

Step-by-step explanation:

determine the value of x so that the square and the rectangle is shown to have equal perimeters.
ASAP!!!!!!!!!
EXPLANATION TOO (:

Answers

oh that’s on safari i just looked it up lol. go check it out. sorry if it’s not there for u. but i didn’t feel like typing that much
Kidd don’t cmlzx f necks x

Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?

A - 6.25x + 7.50 = 26.25

B - G.25x - 7.50 = 26.25

C - 7.50x + 6.25 = 26.25

D - 7.50x - 6.25 = 26.25

Answers

Answer:

A.

Step-by-step explanation:

Answer:

6.25x + 7.50 = 26.25

Step-by-step explanation:

Clara played 3 rounds of golf.

The admission fee is = $7.50

Let the number of rounds be = x

Each round costs = $6.25

Total money Clara paid = $26.25

We can denote this in equation form as:

6.25x + 7.50 = 26.25

Now we will solve for x

6.25x = 26.25 - 7.50

=> 6.25x = 18.75

=> x = 3

Hence, Clara played 3 rounds of golf.

Last question. Please help. I need to get this question right or I will fail if I get it wrong. I am confused. Help

Answers

the answer is 10
Hope this helps have a nice day ;)
The right answer is 10

Factor the following expression using the GCF: 2dr – 4r.

r(2d – 4)
2r(d – 2)
2(dr – 2r)
2r(d – 1)

Answers

2r(d - 2)
factor out 2 r from the expression
Second answer because 2r is the greatest factor that you can take of both 2dr and 4r

what is the point-slope form of the line that has a slope of -4 and passes through Point -3, 1 ?
A y-(-3)= -4(x-1)
B y-1= -4 [x -(-3)]
C -1-y1 = -4 (-3-x1)
D 3-y1 = -4(1-x1)

Answers

y-1=-4(x+3)
So B is the correct answer. Just keep in mind that the original formula is y-y1=m(x-x1). With that formula, you can substitute any given information. I hope this helps!

Find the total cost of an item that costs $10, on sale for 30% off, with a tax of 8%.

Answers

$7.56 hope this helps

ANSWER WELL WITH GOOD EXPLANATION AND IF IT IS GOOD THEN I WILL GIVE BRAINLY AND DONT ANSWER OR POINTS OR I WILL REPORT

Answers

7/3 = 2.33333

As you can see, per each individual lap Leila runs faster.

However, this value could change over larger distances, therefore, I recommend you get them to run larger distances and compare their times.

Have A Nice Day ❤

-Millie

Answer:

Leila is the better runner.

Step-by-step explanation:

Velocity of Leila = (3×3/5)/(7/60) km/h

=15.42( approximately)

Velocity of Maria= (3/5)/(3/60)km/h

=12 km/h

So, as Leila is faster than Maria, she is the better runner.

Hope this helps

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