Gabriella wants to tile a room with an area of 320 square feet. The width of the room is 4/5 its length. What are tge length and width of the room?

Answers

Answer 1
Answer: Area = length x width
But width = 4/5 x length
so 320 = length x 4/5length
Rearranged, 320 = 4/5(length)(length)
length x length = length^2
Divide both sides by 4/5
400 = (length)^2
Square root both sides
20 = length

So now you know the length, you can calculate the width. 
Width = 4/5 x length
= 4/5 x 20
= 16

Length = 20ft, Width = 16ft

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The sum of 4 multiplied by a and 5 multiplied by b Write in algebraic expression

How is a constant of proportionality like a unit rate?

Answers

Because the unit rate basically describes what one of something would be. 
But the proportionality describes how many times the one of something can be multiplied.

Help please thank you

Answers

he can buy a total of 5 caramel apples

1.75*5=8.75

He has 1.25 left.

Hope this helps

Which of the following numbers has the smallest value? 19.45 19.445 19.5 19.454

Answers

19.445 is the answer as you can see...
first you need to see the 1 decimal place which is like the number smaller than 1, eg:0.5,0.4 then later you see the 2 decimal place and later third on order to find out...
19.445 if you didnt round it to the nearest hundredth. so technically the answer is 19.45


Round 16.748 to the nearest tenth

Answers

When you are rounding to the nearest tenth, you look at the number beside the number in front of the decimal. It is lower than  so you would not change any numbers and drop the numbers after. The answer is 16.7
16.7000 is the anwser

One cellular phone carrier charges 26.50 a month plus .15cents a minute. Another carrier charges 14.50 a month plus .25 cents a minute. For how many minutes is the cost of the plans the same? Please show work thanks

Answers

i'm going to use m for minutes
Cell carrier 1
0.15 per minute (0.15m)
$26.50 first, and then add on for every minute

cost carrier 1 = 0.15m + 26.50

carrier 2
0.25 per minute (0.25m)
$14.50 first, and then add on for every minute. 

cost carrier 2 = 0.25m + 14.50 

to find out when they cost the same, make the two costs equal to each other:

0.15m + 26.50 = 0.25m + 14.50

all that's left is to solve for m

0.15m + 26.50 = 0.25m + 14.50
subtract both sides by 0.15 m
26.50 = 0.2m + 14.50
subtract both sides by 14.50
12 = 0.1 m 
divide both sides by 0.1
m = 120

the phone carriers will have the same cost at 120 minutes


Define the rates of each carrier:

(1) $26.50 + $0.15m
(2) $14.50 + $0.25m

Set the two equations equal to each other and solve for m minutes . . .

26.50 + 0.15m = 14.50 + 0.25m

26.50 - 14.50 = 0.25m - 0.15m

12.00 = (0.25 - 0.15)m

12 = 0.10m

m = 12/0.10 = 120

m = 120 minutes

Garth estimated the heigh of the door to his claroom in meters what is reasonable estimate?

Answers

Answer:

A reasonable measure for the height of the door would be 2.23 meters

Step-by-step explanation:

We use three units of measurement in our daily life.

Centimeter, Meter and Kilometer

When comparing the three units centimeter is the smallest unit and kilometer is the largest.

1 meter= 100 cm

1 kilometer= 1000 meter= 100000 centimeter

If we measure the height of the classroom's door  in centimeter which is approximately 223 cm, it is better to convert it into a unit higher than centimeter. We know that 100 cm is equal to 1 meter. So, instead of writing 223 cm it is better to write 2.23 m, neither 0.223 Km.  If the number lies between 100 cm ≤number <100,000 cm,  convert it into meters by dividing the number by 100, which is best unit of measurement.