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Nezavi [6.7K]
3 years ago
14

Find the value of the expression (4x – 12) + (xy – 5) when x=6 and y = 2

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

19

Step-by-step explanation:

Let us solve the parenthesis first according to PEDMAS (Parenthesis, Exponent, which ever comes first from left to right Multiplication and Division, which every comes first from left to right Addition and Subtraction.)

x=6, y=2

4x-12

Substitute using the given values

4*6 - 12 = 24 - 12 = 12

xy - 5

Substitute using the given values

6*2 - 5 = 12 - 5 = 7

Add up the two answers because we need to find the value of (4x - 12) + (xy - 5)

12 + 7 = 19

The answer is 19

Hope this helps :)

Have a nice day!

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The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 2/3. What is the probabili
Aleksandr [31]

Answer:

19.75%

Step-by-step explanation:

Since we are trying to find the probability for a sequence of events then we need to multiply the probability of each event happening separately from each other. Since the probability of it raining on a single day is 2/3 we need to multiply this value with itself 4 times (one for each day).

2/3 * 2/3 * 2/3 * 2/3 = 16/81 or 0.1975 or 19.75%

Therefore the probability would be 16/81 or 0.1975 or 19.75%

3 0
3 years ago
27 solid iron spheres, each of radius 'xcm'ate melted to form a sphere with radius 'ycm',find the ratio x:y​
r-ruslan [8.4K]

Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of  radius x cm

The volume of a sphere is \frac{4}{3}\pi r^3

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

V_o=\dfrac{4}{3}\pi x^3

The volume of a new sphere is

V_n=\dfrac{4}{3}\pi y^3

Now,V_o=V_n

\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3

7 0
3 years ago
Find the missing side of the triangle
Ivanshal [37]

Answer:

25 in

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Identify</u>

Leg a = 24

Leg b = 7 in

Leg c = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                          24² + 7² = x²
  2. Evaluate exponents:                                                                                      576 + 49 = x²
  3. Add:                                                                                                                 625 = x²
  4. [Equality Property] Square root both sides:                                                 25 = x
  5. Rewrite/Rearrange:                                                                                        x = 25
8 0
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Answer:

transformations of function 3(-7(x+2))-4

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8 0
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ipn [44]

Answer:

2 tacos = $6

1 tacos = $3

6 tacos = 6 X 3

= $18

18$ is the cost for 6 tacos

7 0
3 years ago
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