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melomori [17]
3 years ago
14

Natasha spent 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction hours on the beach. She fell asleep for \dfrac3

4 4 3 ​ start fraction, 3, divided by, 4, end fraction of the time she was on the beach and then woke up with a terrible sunburn. How many hours was Natasha asleep on the beach?
Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

1 and 1/8 hours or

Step-by-step explanation:

Natasha spent one and a half hours on the beach, which can be rewritten as 3/2 hours. Out of that time, she spent 3/4 sleeping. The total time she spent sleeping on the beach is determined by the product of the amount of time she spent on the beach by the fraction of that time she spent asleep:

T=\frac{3}{2} * \frac{3}{4}\\T=\frac{9}{8} \\T=1 + \frac{1}{8}

Natasha was asleep on the beach for 1 and 1/8 hours or 1 hour 7 minutes and 30 seconds.

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Jemma is three times as old as Angie. Five years from now the sum of their ages will be 34 years. What are their present ages?
Lapatulllka [165]

Answer: Angie = 6, Jemma = 18

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

Let x represent the current age of Angie

              Current Age           Age 5 years from now

Angie:            x                              x + 5

Jemma:        3x                            3x + 5

5 years from now the sum of their ages is 34

                  (x + 5) + (3x + 5) = 34

                               4x + 10 = 34

                               4x        = 24

                                 x         = 6

Angle's current age is x = 6

Jemma's current age is 3x = 3(6) = 18

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Answer:

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Step-by-step explanation:

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Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?
Finger [1]

Answer:

m=55h

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

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substitute

m=55h

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Find the area of a kite with diagonals 15 m and 7 m.​
lozanna [386]

Answer:

<h2>A = 52.5 m²</h2>

Step-by-step explanation:

The formula of an area of a kite:

A=\dfrac{e\cdot f}{2}

<em>e, f</em><em> - diagonals</em>

<em />

We have <em>e = 15m, f = 7m.</em>

Substitute:

A=\dfraC{(15)(7)}{2}=\dfrac{105}{2}=52.5\ m^2

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