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alukav5142 [94]
3 years ago
7

Will mark u brainliest 15 points!!!! Class 9 math

Mathematics
2 answers:
KonstantinChe [14]3 years ago
8 0

Answer:

\frac{3375}{512} or ≈6.59

Step-by-step explanation:

We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.

Take 25\frac{3}{2} for example. The '2' in the fraction means we must take the square of 25. √25 = 5.

The '3' in the fraction means we take the power, which means we must cube '5'.

5³ = 125. Therefore, 25\frac{3}{2}  = 125. Use this process for the other numbers:

25^{\frac{3}{2} } = 125\\243^{\frac{3}{5} } = 27\\16^{\frac{5}{4} } = 32\\ 8^{\frac{4}{3} } = 16

The new fraction would look like:

\frac{125 * 27}{32 * 16}

Which simplifies to:

\frac{3375}{512} or ≈6.59

svet-max [94.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

(25) raise to 3/2 = (5^2) raise to 3/2 and 2 gets cancelled when the bracket is opened which leaves 5^3.

(243) raise to 3/5 = (3^5) raise to 3/5 and 5 gets cancelled when the brackets are opened which leaves 3^3.

(16) raise to 5/4 = (2^4) raise to 5/4 and 4 gets cancelled when the bracket is opened which leaves 2^5.

(8) raise to 4/3 = (2^3) raise to 4/3 and 3 gets cancelled when the brackets are opened which leaves 2^4.

5^3 * 3^3 divided by 2^5 * 2^4

= (5 x 3)^ 3 / 2^5+4                   [∵a^m x b^m = (ab)^m] & [a^m x a^n = a^m+n]

<em>15^3 / 2^9</em>

This when simplified gives 6.591.

So,  <em>15^3 / 2^9 </em>is approximately equal to <u><em>6.59</em></u>

PLS MARK IT AS BRAINLIEST

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Answer:

1.167

Step-by-step explanation:

4/5 + 2/3 + 7/10

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3 years ago
Rhoda is asked to graph this system of equations: 5x - 6y = 4 3y + 2x = 7 How many times will the lines intersect? O A. The line
Daniel [21]

Answer:

  • C. The lines will intersect once, because this system has one solution

Step-by-step explanation:

<u>System of equations: </u>

  • 5x - 6y = 4
  • 3y + 2x = 7

The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same

Let's put the lines into slope-intercept form to compare

<u>Line1 </u>

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<u>Line </u>2

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Step-by-step explanation:

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3 years ago
Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry.
emmasim [6.3K]

Answer:

1) The fraction of yogurt cups that are strawberry is 18/30. (True)

2) There are a total of 60 strawberry yogurt cups. (False)

3) 60% of the yogurt cups are strawberry. (True)

4) 30% of the yogurt cups are NOT strawberry. (False)

Step-by-step explanation

Total number of yogurt cups are = 30

for every 10, 6 are strawberry

thats is for the whole 30 cups total number of strawberries are = 18

1) The fraction of yogurt cups that are strawberry,

that is the fraction of the total number of strawberries over the total number of cups which is 18/30

2) There are a total of 60 strawberry yogurt cups,

the total number of yogurt cups is 30 while that of strawberry is 18

3) 60% of the yogurt cups are strawberry,

which is 18/30 * 100% = 60%

4) 30% of the yogurt cups are NOT strawberry,

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3 years ago
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