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Inessa [10]
3 years ago
10

PLZ PLZ PLZ HELPPP! I NEED THIS QUICKKKK

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

x = 17

Step-by-step explanation:

\\8x - 27 = 3x+58\\5x=85\\x=17

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The quotient rule for exponents states that bm bn=​_______, b≠0 . When dividing exponential expressions with the same nonzero​ b
wariber [46]

Answer:

The quotient rule for exponents states that b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

  • x^{0}=1
  • (x^{m})^{n}=x^{mn}
  • x^{-n}=\frac{1}{x^{n}}
  • x^{m}\cdot x^{n}=x^{m+n}
  • \frac{x^{m}}{x^{n}}=x^{m-n}

The quotient rule for exponents states that:

b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

3 0
3 years ago
PLEASE HELP ME ASAP
goblinko [34]

Answer:

20.04 units

Step-by-step explanation:

The diagram shows right triangle ABC. Use the definition of the cosine:

\cos \angle C=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}\\ \\\cos \angle C=\dfrac{BC}{AC}\\ \\\cos 51^{\circ}=\dfrac{BC}{27}\\ \\BC=27\cdot \cos 51^{\circ}\\ \\BC\approx 20.04\ units

3 0
4 years ago
Help will name Brainliest
11111nata11111 [884]

Answer:

x = \frac{\sqrt{22} }{2}

Step-by-step explanation:

Using the Pythagorean Theorem we can solve this problem.

The legs of the triangle will be the same (the dashes in the middle of the line indicates they are the same).

The Pythagorean Theorem will look like this:

a^{2}+a^{2}  = (\sqrt {11})^{2}

Now, let's find a:

2a^{2} = 11                The square of a radical will be whatever is under the arch

a^{2}=\frac{11}{2}                  Divide 11 by 2

\sqrt{a^{2} } = \sqrt{\frac{11}{2} }           Square root both sides

a = \frac{\sqrt{22} }{2}

Therefore, the length of side x is equal to \frac{\sqrt{22} }{2}.

Hope this helps!!

8 0
2 years ago
There are 50 runners in a race. How many ways can the runners finish first, second, and third?
Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : P(n,r) = \frac{n!}{(n-r)!} where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ P(n,r) = \frac{n!}{(n-r)!}

⇒ P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}

⇒ P(50,3) = 50(49)(48)

⇒ P(50,3) = 1,17,600

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0
3 years ago
6. Write the following proportion using colons. 7 is to 21 as 3 is to 9. A. 7:21 = 3:9 B. 7:3 = 21:9 C. 21:7 = 3:9 D. 7:21 = 9:3
Vika [28.1K]

Answer:

A. 7:21 = 3:9

Step-by-step explanation:

7 is to 21 as 3 is to 9.

Replace the word to with colons and the word as with the equals sign

7:21 = 3:9

5 0
3 years ago
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