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elena55 [62]
3 years ago
9

On a trip, you had to change your money from dollars to British pounds. You got 560560 pounds for 800800 dollars. How many pound

s will you get for 300300 dollars?
Mathematics
1 answer:
Vlad [161]3 years ago
7 0
First you need to divide 800,800 by 300,300 because you need to know how these two amounts are related, in order to know how the amounts of pounds you are converting are related.
800,800÷300,300= 2.66666.... (recurring)
If $300,300 goes into $800,800 2.66666 times, then the amount of pounds you want to find goes into £560,560 2.66666 times as well. Let's write this as an equation to solve for x (where x is the amount of pounds you will obtain for $560,560):
2.66666x = 560,560
Divide both sides by 2.66666
x = 210,210
Therefore, you will get £210,210 for $300,000
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The diagonal of the rectangle is 15 cm and one of its sides is 9 cm. find the area of the rectangle.
Tems11 [23]

The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

l² = a² + b²  [∵ The diagonal makes the hypotenuse]

(15)² = (9)² + b²

b² = (15)² - (9)²

b² = 225 - 81

b² = 144

b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

Learn more on a rectangle here:

brainly.com/question/15019502

#SPJ4

5 0
1 year ago
Please help me!!! brainliest
nevsk [136]

Answer:

1, 2, 4

Step-by-step explanation:

  1. 4 1/12·2 2/3 = 49/12·11/4 = 49/12·33/12 = 1617/144 = 11 11/48 Good
  2. 2 1/5·6 1/4 = 11/5·25/4 = 44/20·125/20 = 5500/400 = 13 3/4 Good
  3. 1 1/2·3 1/5 = 3/2·16/5 = 15/10·32/10 = 480/100 = 4.8 Doesn't Work
  4. 3/4·8 1/5 = 3/4·41/5 = 15/20·164/20 = 2460/400 = 6 3/20 Good
  5. 5 1/2·5 = 11/2·5 = 55/2 = 27 1/2 Doesn't Work

(Note: Division of big numbers should be done by simplification, although not shown here.)

5 0
2 years ago
Read 2 more answers
What is the fraction twelve twentieths in its simplest form
Alla [95]
You mean \frac{12}{20} or \frac{20}{12} ?

If you had meant, \frac{12}{20}, then the simplest form of this fraction would be - \frac{3}{5}

Divide both parts of the fraction by 4, and you get \frac{3}{5}the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - \frac{20}{12}
Flop the simplest form of the previous fraction, that's \frac{5}{3}

If you had meant \frac{20}{12}, then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - \frac{3}{5} or \frac{5}{3}<span>. We can't divide it any further. So, we know that it is in its simplest form.
</span>
L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
\frac{12}{20} or \frac{20}{12}

1) 
Divided by 2 = \frac{6}{10} or \frac{10}{6}

2) 
Next, also by 2 = \frac{3}{5} or \frac{5}{3}

That took much longer, right.
<span> So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.</span>

3 0
3 years ago
Read 2 more answers
1. Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 c
prisoha [69]

Answer:

See explanation

Step-by-step explanation:

Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then

P(\text{Window seat})=\dfrac{492}{806}=\dfrac{246}{403}\\ \\P(\text{Middle seat})=\dfrac{8}{806}=\dfrac{4}{403}\\ \\P(\text{Aisle seat})=\dfrac{306}{806}=\dfrac{153}{403}

a) One randomly selected person preferes aisle seat with probability

\dfrac{153}{403}

b) Two randomly selected people both prefer aisle seat (with replacement) is

\dfrac{306}{806}\cdot \dfrac{306}{806}=\dfrac{153}{403}\cdot \dfrac{153}{403}=\dfrac{23,409}{162,409}

c) Two randomly selected people both prefer aisle seat (without replacement) is

\dfrac{306}{806}\cdot \dfrac{305}{805}=\dfrac{153}{403}\cdot \dfrac{61}{161}=\dfrac{9,333}{64,883}

8 0
3 years ago
How do I write a recursive formula for this sequence? 2, 6, 18, 54, 162, ... I already know the common difference is x3.
dmitriy555 [2]
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
4 0
3 years ago
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