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Advocard [28]
3 years ago
7

} A rectangle has an area of 25 square feet. A similar rectangle has an area of 200 square feet. What is ratio of the areas of t

hese similar rectangles(smaller to larger, order always matter! )?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

The ratio of smaller rectangle to larger is 1 : 8.

Step-by-step explanation:

Given that:

Area of smaller rectangle = 25 square feet

Area of larger rectangle = 200 square feet

Ratio of areas of these similar rectangles;

Smaller rectangle : Larger rectangle

25 : 200

1 : 8

Hence,

The ratio of smaller rectangle to larger is 1 : 8.

You might be interested in
√45 is the distance between which of the following complex numbers?
Schach [20]

Step-by-step explanation:

we don't see the complex numbers.

so, we cannot check their distances.

a suspicion, though.

sqrt(45) a distance between 2 complex numbers is

sqrt(a² + b²).

so,

a² + b² = 45

a nice combination of whole square numbers would be 6 and 3.

6² + 3² = 36 + 9 = 45

if that is the case, then that would mean one of the following committed numbers

6 + 3i

3 + 6i

-6 + 3i

6 - 3i

-6 - 3i

-3 + 6i

3 - 6i

-3 - 6i

one of these numbers must be the result of the subtraction of the 2 provided complex numbers.

remember

(a + bi) - (c + di) = a-c + (b-d)i

3 0
3 years ago
100 POINTS!!! PLEASE I NEED HELP DUE TODAY!!!!
Volgvan

Using weighed averages, it is found that:

  1. The final grade is 91.
  2. The final grade is 66.8.
  3. The higher grade would be 79.55, with the second grading scheme.
  4. On average, she sold $48,280 per day.
  5. On average, she makes $12.5 per hour.

---------------------------------------

To find the weighed average, we multiply each value by it's weight.

---------------------------------------

Question 1:

  • Grade of 91, with a weight of 67%.
  • Grade of 91, with a weight of 33%.

Thus:

F = 91\times0.67 + 91\times0.33 = 91

The final grade is 91.

---------------------------------------

Question 2:

  • Grade of 83, with a weight of 40%(highest grade).
  • Grade of 60, with a weight of 30%.
  • Grade of 52, with a weight of 30%.

Thus:

F = 83\times0.4 + 60\times0.3 + 52\times0.3 = 66.8

The final grade is 66.8.

---------------------------------------

Question 3:

With teacher 1:

  • 75 with a weight of 25%.
  • 80 with a weight of 10%.
  • 85 with a weight of 40%.
  • 62 with a grade of 25%.

Thus:

F_1 = 75\times0.25 + 80\times0.1 + 85\times0.4 + 62\times0.25 = 76.25

---------------------------------------

With teacher 2:

  • 75 with a weight of 15%.
  • 80 with a weight of 10%.
  • 85 with a weight of 60%.
  • 62 with a weight of 15%.

Thus:

F_2 = 75\times0.15 + 80\times0.1 + 85\times0.6 + 62\times0.15 = 79.55

The higher grade would be 79.55, with the second grading scheme.

---------------------------------------

Question 4:

  • Average of $36,432, with a weight of \frac{3}{3+10} = \frac{3}{13}
  • Average of $51,834, with a weight of \frac{10}{13}

Thus:

A = 36432\frac{3}{13} + 51834\frac{10}{13} = \frac{36432\times3 + 51834\times10}{13} = 48280

On average, she sold $48,280 per day.

---------------------------------------

Question 5:

  • Average of $14.84, with a weight of \frac{6}{6+8} = \frac{6}{14} = \frac{3}{7}
  • Average of $10.76, with a weight of \frac{4}{7}

Thus:

A = 14.84\frac{3}{7} + 10.76\frac{4}{7} = \frac{14.84\times3 + 10.76\times4}{7} = 12.5

On average, she makes $12.5 per hour.

A similar problem is given at brainly.com/question/24398353

5 0
3 years ago
It costs $3.45 to buy 2 lbs of chopped walnuts.how much would it cost to purchase 7 lbs of walnuts?
Jobisdone [24]

Answer:

$12.075

Step-by-step explanation:

To find how much one pound of walnuts cost you need to divide 3.45(cost) and 2 (how much) and you get 1.725. That means how much one pound cost ...now that you know that all you have to do is multiply 1.725 by 7. You get $12.075 :)

3 0
3 years ago
Susan is attending a talk at her sons school. There are 8 rows of 10 chairs where 54 parents are sitting. Susan noticed that eve
kherson [118]

Answer:  4

<u>Step-by-step explanation:</u>

To fit the maximum amount of people in one row, you would have 3 couples and 1 single = 7 parents.

If we continue the maximum amount of people for 7 rows, we get 49 parents seated.

Since a total of 54 parents are seated, that leaves 54 - 49 = 5 parents remaining to be seated in the last row.  These parents can be seated as 2 couples and 1 single. If you put the single at the end of the row, there will be 4 seats between the couple and the single.

Couple, Couple, Open, Couple, Couple, <u>Open</u>, <u>Open</u>, <u>Open</u>, <u>Open</u>, Single

7 0
3 years ago
Concentrated juice boxes 8 boxes = 16 1/4 Keith would like to bring enough concentrated juice in order to have 214 cups availabl
wolverine [178]

Answer:

15 3/4

Yes

Step-by-step explanation:

Given that :

8 boxes = 16 1/4 cups

Required cup of concentrated juice per day = 2 1/4 cups

Total cups that will be required for the entire 7 days :

Number of cups per day * number of days

2 1/4 * 7

= 15 3/4 cups

Since 8 boxes = 16 1/4 ; then 8 boxes will be enough

4 0
3 years ago
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