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Mariana [72]
3 years ago
13

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

6 meters by 9 meters

Step-by-step explanation:

<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

Length = 1.5 times width

Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

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Answer:

50

Step-by-step explanation:

The total is 200 and 25% are juniors so u multiply 200 by 25%

Hope this helps

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8 0
3 years ago
Read 2 more answers
Which expression shows a sum of five terms? (3 points)
Sav [38]

Answer:

5 + x + 5 + x + x

Step-by-step explanation:

We are given 4 expressions and we have to determine which expressions shows a sum of five terms.

We use the process of elimination:

5(x + 5)

=5x+25  (distributing 5)

This contains sum of only two terms, <u>eliminate</u>.

5x

It contains only 1 term, <u>eliminate</u>.

5 + x + 5 + x + x

It contains 5 terms 5,x,5,x and x, <u>KEEP</u>!

5.

Only contains 1 term, <u>eliminate</u>.

With this said, were left with:

5 + x + 5 + x + x

Which is the correct answer! :)

6 0
2 years ago
Jennifer and Chelsea each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same s
zvonat [6]

Answer:

$15.00

Step-by-step explanation:

Suppose 1 rose bush costs r dollars,

Suppose 1 geranium costs g dollars.

Here are 2 equations:

1)6r+14g=146

3r+7g=73

2)r+7g=57

r=57-7g

Put 2) in 1)

3(57-7g)+7g=73

171-21g+7g=73

98=14g

g=7

r=8

7+8=$15.00

Hope I helped!

8 0
3 years ago
Colton earns $35 per lawn he mows. In kne day he mows four lawns and he works five days a week for 20 weeks a year. His expenses
yanalaym [24]

Answer:

1) Consider that he makes $1189 every two weeks engaged with work

2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks

3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip

Step-by-step explanation:

From the given data

Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400

Similarly total operating costs = $2110

Total profit per annum = $11890

However total revenue per every 2 weeks = $1189

To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip

2) Opportunity cost will factor in the cost of having someone work for him while away

The cost is = $250 + $120/day

Hence in two weeks it will cost him $1450

3) He has to work for about 7 weeks to be able to afford the truck

7 0
3 years ago
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many camp
Murrr4er [49]

Answer:

<em>72 campers participated this year</em>

Step-by-step explanation:

<u>Percentages</u>

To determine x% of y, we must calculate x*y/100.

The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.

The new attendance is calculated as follows:

40 * 180 / 100 = 72

72 campers participated this year

4 0
3 years ago
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