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Ksju [112]
3 years ago
7

The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird

in feet per second?
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

Average\ Change = -1\frac{7}{10} ft/s

Step-by-step explanation:

Given

Altitude\ Change = -4\frac{1}{4} \ ft

Time = 2\frac{1}{2}\ s

Required

Determine the average change

This is calculated as follows:

Average\ Change = \frac{Altitude\ Change}{Time}

This gives:

Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}

Average\ Change = -4\frac{1}{4}/2\frac{1}{2}

Convert to improper fractions

Average\ Change = -\frac{17}{4}/\frac{5}{2}

Convert to multiplication

Average\ Change = -\frac{17}{4}*\frac{2}{5}

Average\ Change = -\frac{17}{2}*\frac{1}{5}

Average\ Change = -\frac{17}{10}

Average\ Change = -1\frac{7}{10} ft/s

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The graph of the equation y=12x−3 Determine the value of y for the point (4, y).
Novosadov [1.4K]

Answer:

y=45

Step-by-step explanation:

y=12x-3

y=12(4)-3

y=45

4 0
3 years ago
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a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can
Anestetic [448]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

1\frac{1}{4} cups of milk make 10 servings

1\frac{1}{4} can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128

Hence,

128 servings can be made using 1 gallon of milk.

3 0
3 years ago
If (5x-3y)²=0, then x/y=?​
alexandr1967 [171]

Answer:

\frac{3}{5}

Step-by-step explanation:

Given

(5x - 3y)² = 0, then

5x - 3y = 0 ( add 3y to both sides )

5x = 3y (divide both sides by 5 )

x = \frac{3}{5} y ( divide both sides by y )

\frac{x}{y} = \frac{3}{5}

5 0
3 years ago
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A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be
Arturiano [62]

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

7 0
4 years ago
5/x - 3/4 =<br> Simplify
Verdich [7]

Answer:

\frac{20-3x}{4x}

Step-by-step explanation:

-This is an LCM problem.

-To simplify, we introduce a least common multiplier which is equivalent the product of the denominators:

LCM=x\times 4\\\\=4x

#We introduce the LCM and adjust the fractions based on it :

=\frac{5}{x}+\frac{3}{4}\\\\\\=\frac{20}{4x}+\frac{3x}{4x}\\\\\\=\frac{20-3x}{4x}

Hence, the simplified form of the fraction is: \frac{20-3x}{4x}

7 0
3 years ago
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