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2 years ago

Suzanne says the two expressions 2(3a – 2) + 4a and 2(5a – 2) are equivalent? Is she correct? Explain why or why not?

Mathematics

1 answer:

pashok25 [27]2 years ago

3 0

Answer:

Suzanne is incorrect.

Step-by-step explanation:

To figure out if the two equations are equivalent, we can simplify each one of them.

Simplifying the first equation, we get:

$2(3a-2)\\6a-4\\$

Simplifying the second equation, we get:

$2(5a-2)\\10a-4$

Now that both equations are simplified, we can see that the equations are not equivalent. Suzanne is incorrect.

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SURDS

aev [14]

1) √3 √7 = √21
2) √5 √245 = √5 √5 * 49 = √5 * 7√5 = 7 √5 * 5 = 7 √25 = 7 * 5 = 35
3) √77 ÷ √11 = as is. can't be simplified.
4) (√59)² = 59 ; the square root was cancelled by squared.
5) 3√6 x 8√7 = 3 * 8 √6 * 7 = 24 √42
6) 5√3 x 6 √3 = 5 * 6 √3 * 3 = 30 √9 = 30 * 3 = 90
7) 40√30 ÷ 5√3 = (40 / 5) * (√30 /√3) = 8 * ((√3 *10) / √3) = 8 √10
8) (6√5)² = 6² * √5² = 36 * 5 = 180

4 0

3 years ago

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 250 tickets from a previous vi

Nataly_w [17]

Considering the definition of equation, the number of games Meredith need to play is 12.

<h3>What is an equation</h3>

An equation in mathematics is defined as an equality established between two expressions, in which there may be one or more unknown values, called unknowns, in addition to certain known data.

The unknown or unknowns represent the number (or numbers), if any, that make the equality true. This unknown number or numbers represent the solution of the equation. So when changing the unknown or unknowns by the solution, the equality must be true.

<h3>Solution in this case</h3>

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. This is represented by:

y=6x + 250

where:

x represents the number of games Meredith plays.
y represents the number of tickets she needs for the prize.

Meredith needs 322 tickets to exchange for the prize she wants. This is, y=322.

Replacing in the expression y=6x + 250:

322= 6x + 250

Solving taking into account that:

When a value you are adding is passed to another side of the equation, this value will be subtracting.
If a value is multiplying it goes to the other side of the equation by dividing.

322 - 250=6x

72= 6x

72÷6= x

Finally, the number of games Meredith need to play is 12.

Learn more with this problem:

brainly.com/question/15564756

#SPJ1

7 0

2 years ago

The diameter of a cone is X cm the height is 18 cm mThe The height is 18 cm and the volume is 301.44 cm what is x

HACTEHA [7]

The volume of a cone is V=(1/3)(area of the base)(height)= (1/3)(pi*r^2)(h)
r^2= (d/2)^2 = (d^2)/4. Given: V= 301.44cm^3 and h= 18cm.
r^2= V/[(1/3)(pi)(h)]
r^2= 3V/(pi)(h)
(d^2)/4= 3(301.44)/(3.14)(18)
d^2= 12(301.44)/(3.14)(18)
d^2= 63.967
d= 7.997
d~= 8cm.

4 0

3 years ago

Select 3 side lengths that can form a right triangle.

Tcecarenko [31]

Answer:

(16,63,65)

Step-by-step explanation:

Well, by trial and error, it turns out that 16²+63² = 65²

So the pythagorean triplet is (16,63,65)

5 0

3 years ago

What is the equation of a line that has a slope of 3 and a y-intercept of -3

LUCKY_DIMON [66]

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have m = 3 and b = -3. Substitute:

6 0

3 years ago

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