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Verizon [17]
3 years ago
5

109 2/3 divided by 1/2​

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0

Answer:

\large\boxed{219\dfrac{1}{3}}

Step-by-step explanation:

109\dfrac{2}{3}:\dfrac{1}{2}\\\\\text{Divide by a fraction is the same operation as multiply by its reciprocal}\\\\109\dfrac{2}{3}:\dfrac{1}{2}=109\dfrac{2}{3}\cdot\dfrac{2}{1}=109\dfrac{2}{3}\cdot2=\left(109+\dfrac{2}{3}\right)\cdot2\\\\\text{use distributive property}\\\\(109)(2)+\left(\dfrac{2}{3}\right)(2)=218+\dfrac{4}{3}=218+1\dfrac{1}{3}=219\dfrac{1}{3}

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There is a bag filled with 5 blue, 6 red and 2 green marbles.
vodka [1.7K]

The probability of getting exactly 1 green will be 1/13.

<h3>What is probability?</h3>

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

Given data;

No of blue marbles= 5,

No of red marbles=6

No of green marbles=2

Total no of ball  = 5+6+2

Total no of ball  = 13

The probability of getting one green marble is;

P(G)=1/13

Hence, the probability of getting exactly 1 green will be 1/13.

To learn more about the probability, refer to the link;

brainly.com/question/11234923

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7 0
2 years ago
If the two sides of a triangle are 2 and 7 what is the possible lengths of the third side.
koban [17]

b²=c²-a²

b²=7²-2²

b²=49-4

b²=45

b=√45

b=6.7

3 0
3 years ago
A goal is to get at least 10% of daily calories from polyunsaturated fats as are found in various nuts, oils, and fish. One serv
natka813 [3]
To get 10% of your calories from polyunsaturated fats you would need to eat 200 calories worth. So 1 serving of walnuts would give you 180 calories. So one serving of walnuts would be 9% of your daily calories.
6 0
3 years ago
Felipe's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A costs Felipe $4.55 per lb. Type B costs $5.7
RUDIKE [14]

Answer:

Type A coffee in lbs = 97 lbs

Step-by-step explanation:

Type a = 4.55/lbs = x

type b = 5.70/lbs =  y

Total in lbs = 147lbs

total in sales = 726.50

First,

x + y = 147 lbs    -------------------equ 1

4.55x + 5.70y = lbs    ------------ equ 2

<em>Multiply equ 1 by 4.55</em>

4.55x + 4.55y = 668.85  -------------equ 3

4.55x + 5.70y = 726.50   ------------equ 4

<em>Subtracting equ 3 from equ 4</em>

1.15y = 57.65

y = 50

<em>Substituting y = 50 into equ 1</em>

x + 50 = 147

x = 97

7 0
3 years ago
The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m​
kipiarov [429]

Answer:

900\times 3^m = 100

Step-by-step explanation:

The number of visitors is modeled by the expression 900\times 3^m

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100

At m = -2, the value of the above expression is equal to 100.

5 0
3 years ago
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