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Umnica [9.8K]
3 years ago
5

$83 giraffe; 17% markup

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

$97.11

Step-by-step explanation:

17% of $83 = $14.11

$83 + $14.11 = $97.11

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Three numbers are in the ratio 2 : 3 : 4 and their sum is 54. If 'x' is the common factor, then the value of 'x' is ________.
Neporo4naja [7]

Answer:

<h3><u>Given</u> </h3>
  • ↦ Three numbers are in the ratio 2 : 3 : 4
  • ↦ The sum of number is 54.
  • ↦ 'x' is the common factor

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>To</u><u> Find</u> </h3>
  • ↦ Value of 'x'

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>Solution</u> </h3>

Let the numbers,

  • ↦ 2x
  • ↦ 3x
  • ↦ 4x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the question,

: \implies\sf{2x + 3x + 4x = 54}

: \implies\sf{9x = 54}

: \implies\sf{x =  \dfrac{54}{9} }

: \implies\sf {x =  \cancel\dfrac{54}{9}}

: \implies\sf{x = 6}

{\dag{\underline{\boxed{\sf{\purple{x = 6}}}}}}

<u>Hence, The value of x is 6.</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Thus numbers are,

  • ↦ 2 × 6 = 12
  • ↦ 3 × 6 = 18
  • ↦ 4 × 6 = 24

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>Verification</u> </h3>

: \implies\sf{2x + 3x + 4x = 54}

  • Substituting the numbers

: \implies\sf{ 12+ 18 + 24 = 54}

: \implies\sf{54= 54}

{\dag{\underline{\boxed{\sf{\purple{LHS=RHS }}}}}}

Hence Proved!!

3 0
3 years ago
Read 2 more answers
The slope of the line ​
rjkz [21]
Answer:
-3 or -3/1
Explanation:
It’s going down so it will be negative, it’s always rise over run so rise would be -6 (even tho it goes down which is why it’s a negative) run would be how much it goes over so it would be 2, so it’s -6 over 2 , but then you make the number smaller (simplify) , divide both sections by 2, it would come out to -3 over 1 but the one basically goes away
4 0
3 years ago
What is the y-value of the vertex of 4x^+ 8x - 8?
deff fn [24]

Answer: The y-value of the vertex is

Step-by-step explanation: we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

-----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The vertex is the point

The y-value of the vertex is

5 0
2 years ago
What does circumference mean?
Korvikt [17]
Answer: Distance around a circle
are you in college?
8 0
3 years ago
What is the solution to -3/4x
zubka84 [21]

Answer:

3x/4

Step-by-step explanation:

that's what I found. It would be better if u had more details in your question.

5 0
3 years ago
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