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AnnZ [28]
3 years ago
11

5 1/6-3 5/6 i need help show how you got the answer

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Assuming you mean mixed fractions, we have

5\dfrac{1}{6}=5+\dfrac{1}{6}

and

3\dfrac{5}{6}=3+\dfrac{5}{6}

So,

5\dfrac{1}{6}-3\dfrac{5}{6}=5+\dfrac{1}{6}-3-\dfrac{5}{6}=2-\dfrac{4}{6}=2-\dfrac{2}{3}

If you want to write this as a fraction, you have

2-\dfrac{2}{3} = \dfrac{6}{3}-\dfrac{2}{3}=\dfrac{4}{3}

If you want to write this as a mixed fraction, you have

2-\dfrac{2}{3}=1+\dfrac{3}{3}-\dfrac{2}{3}=1+\dfrac{1}{3}=1\dfrac{1}{3}

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While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flip
zaharov [31]

Answer:  2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

=

heads

total

=

heads

heads+tails

=

4

4+2

=

4

6

=

2

3

The experimental probability is

2

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

2

3

=

n

3

2

3

(33)

=

n

3

(33) Multiply both sides by (33)

23

= 3n Simplify

6

= 3n Simplify

2

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

Questions

answered

16

Time

elapsed

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HR MIN SEC

SmartScore out of 100

44

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7 0
3 years ago
An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera
atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

Cost = 51.275

Step-by-step explanation:

The given parameters can be summarized as:

\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}

Where: x = Soybeans and y = Oats.

So, the system of equations are:

70x + 21y = 168

9x +7y = 27

7x + y = 14

Cost = 21x + 7y

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

70x + 21y = 168

9x +7y = 27

7x + y = 14

From the attached graph, we have:

(x_1,y_1) = (1.636,2.545)

(x_2,y_2) = (1.775,1.575)

(x_3,y_3) = (2.023,1.256)

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

Cost = 21x + 7y

(x_1,y_1) = (1.636,2.545)

Cost = 21 * 1.636 + 7 * 2.545

Cost = 52.171

(x_2,y_2) = (1.775,1.575)

Cost = 21 * 1.775 + 7 * 1.575

Cost = 48.3

(x_3,y_3) = (2.023,1.256)

Cost = 21 * 2.023 + 7 * 1.256

Cost = 51.275

The values of x and y that gives the minimum cost is:

(x_2,y_2) = (1.775,1.575)

and the minimum cost is:

Cost = 48.3

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0
3 years ago
the clearance price of a book is $9. The original price of the book was $25. By what percentage was the price of the book decrea
solong [7]

Answer:

=64 %

Step-by-step explanation:

The percentage decrease is found by

Percent decrease = (original - new)/ original * 100 percent

The original price is 25

The new price is 9

Percent decrease = (25-9)/25 * 100%

                               =16/25 * 100%

                               =64 %

7 0
4 years ago
If x is an integer, then is -x positive?
Andrei [34K]

Answer:

If x is an integer, then for values of x ≤ 0 would -x be positive.

General Formulas and Concepts:

<u>Math</u>

  • Integers

Step-by-step explanation:

We know that integers comprise of the number line from -∞ to ∞. We can have numbers like -3, -2, -1, 0, 1, 2 ,3.

If we say that x is an integer, and that -x must be positive, then that means the integer x must be negative, because a negative times a negative is a positive.

∴ x can only be negative integers, thus giving us x ≤ 0.

3 0
3 years ago
Some roads in Poland have a speed limit of 140 km/h. How fast is this in miles per minute?
zheka24 [161]
1 .47 miles per minute
5 0
3 years ago
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