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bearhunter [10]
3 years ago
10

Insert 2 rational numbers between -1/3 and -1/2

Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Answer:

-11/24 and -4/9

Step-by-step explanation:

A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.

Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.

Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6

Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18

The first number placed is -1/3 - 1/18 = -11/24

The second number is -11/24 - 1/18 = -4/9

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In how many different orders can you line up 8 cards on a table
Fynjy0 [20]
You can line up 8 cards 64 different ways. 

8 * 8 = 64
3 0
3 years ago
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A ball is thrown vertically upward from the ground with an initial velocity of 111 ft/sec. Use the quadratic function h(t) = −16
ddd [48]

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

Maximum height occurs when h(t) = 0 and the ball begins to fall

h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

Divide both sides by -32

t=3.46872

Approximately, t=3.5 seconds

Recall,

Maximum height occurs when h(t) = 0

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= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

4 0
3 years ago
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint
Vikki [24]

Answer:

a

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

b

The number is  x=  \frac{1}{3}

c

The price is P  = \$ 8

Step-by-step explanation:

From the question we are told that

   The ratio of  the number of cups of blue paint to the number of cups of red paint is  r  =  3: 1

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that  1 cup of  red paint  =>   3 cups of blue paint

                 x cup of  red paint  =>  1  cup of  blue paint

So

         x=  \frac{1 *  1}{3}

=>      x=  \frac{1}{3}

Generally the unit price of a cup of blue paint is mathematically represented as

     P  =  \frac{48}{6}

=>  P  = \$ 8

     

4 0
3 years ago
Give the domain and range of the relation.
igor_vitrenko [27]

Answer:  A Domain: {-5, 0, 4, 6} Range: {-9,0, 9, 13}

Step-by-step explanation:

Domain is the x-values, least to greatest.

Range is the y-values, least to greatest.

6 0
3 years ago
Abby is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those s
Harlamova29_29 [7]

Step-by-step explanation:

37.5% = 180people

100% = 180/37.5 x 100 = 480

answer: 480 people

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