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musickatia [10]
3 years ago
11

Evaluate using the order of operations ( 8/9 - 1/3) x 2/3

Mathematics
2 answers:
Readme [11.4K]3 years ago
7 0
Answer:  10/27  .
________________________________________
Explanation:
______________________________________________________
Given:  (8/9 −<span> 1/3) * 2/3 = ? 
______________________________________________________
</span>
Convert "1/3" to "3/9" ; {1/3 = x/9 ; Solve for x;  1/3 = (1*3) / (3*3) = 3/9 ;
________________________________________________________
Rewrite as:  (8/9 − 3/9) * 2/3 = 
                                            (5/9)* (2/3) = (5*2) / (9*3) = 10/27 .
________________________________________________________
Korvikt [17]3 years ago
4 0
(8/9-3/9)*2/3=5/9*2/3=10/27
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What percentage is equivalent to 2/3
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The percent is 66.6% with the last 6 repeating
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What decimal is equal to 3/10
Aleks [24]

Answer:

0.3

Step-by-step explanation:

6 0
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A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration
algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

(0.02a)+(0.05b)= 0.8

Multiplying the above equation by 100, we get

2a+5b=80 (Equation 2)

Substituting the value of a=25-b in equation 2, we get

2(25-b)+5b=80

50-2b+5b=80

50+3b=80

3b=30

b=10

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

7 0
3 years ago
Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

4 0
2 years ago
What is the circumference of the circle defined by x^2+6x +y^2-12y-4=0.
KengaRu [80]

Answer:

44.0

Step-by-step explanation:

Mark me as brainliest

5 0
3 years ago
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