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Elis [28]
3 years ago
9

Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of

them?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

27

Step-by-step explanation:

If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:

x + x + 8 + x - 9 = 56

3x - 1 = 56

3x = 57

x = 19

The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.

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Past experience at the Pasadena Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for t
kap26 [50]

Answer: Yes. There there been a significant shift upward in the percentage of persons who want to go to Asia.

Step-by-step explanation:

From the information given in the question, past experience at the Pasadena Travel Agency shows that 44% of people who came to plan a vacation with the agency wanted to go to Asia.

During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted to go to Asia on vacation. The percentage of people who want to go to Asia now will be:

= 480/1000 × 100

= 48%

Therefore, there has been a significant shift upward in the percentage of persons who want to go to Asia.

8 0
3 years ago
The perimeter of the square park is 240m, then the side of the square park is _______.
bagirrra123 [75]

Answer:

side of square = 60 m

Step-by-step explanation:

perimeter of square = 4 × side

so,

=》240 = 4 × side

=》240 / 4 = side

=》 60 m = each side of the square .

i hope it helped..

7 0
3 years ago
An aeroplane takes 4 hours to travel a distance of 440 0km. Another aeroplane travels at a speed which is 100km per hour less th
FrozenT [24]

Answer:

7480 hours

Step-by-step explanation:

440 - 100 = 340

LCM of 440 and 340

440 = 2 × 2 × 2 × 5 × 11

340 = 2 × 2 × 5 × 17

LCM = 2 × 2 × 2 × 5 × 11 × 17

LCM = 7480

4 0
3 years ago
The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equa
FrozenT [24]

The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0.

<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>

The area of a rectangle (<em>A</em>), in square inches, is equal to the product of its width (<em>w</em>), in inches, and its height (<em>h</em>), in inches. According to the figure, we have two <em>proportional</em> rectangles and we need to derive an expression that describes the value of the <em>unshaded</em> area.

If we know that <em>A =</em> 648 in², <em>w =</em> 22 - x and <em>h =</em> 40 - x, then the expression is derived below:

<em>A = w · h</em>

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

3 0
2 years ago
Describe the relationship between the area of the circle and its circumference the _ is _ times the __ times the cercomfrince 1
vichka [17]

Answer: the radius is 1/2 times the diameter

Step-by-step explanation:

sorry if wrong

4 0
3 years ago
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