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True [87]
3 years ago
14

Justify each step in solving the equation 5(y+3)-11=-y-6 by writing a reason for each statement.

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Explanation:

5(y+3)-11=-y-6 Given

5(y+3)=-y+5 . . . . addition property of equality (11 is added)

5y+15=y+5 . . . . . distributive property (5 is distributed)

5y=-y-10 . . . . . . . addition property of equality (-15 is added)

6y=-10 . . . . . . . . . addition property of equality (y is added)

y=-5/3 Division Property of Equality/Reduce

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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

<u><em>12= x</em></u>

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

Learn more with this problem:

brainly.com/question/15564756

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7 0
2 years ago
A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are multiplied by 5, what happens
alexandr402 [8]
Most likely your answer would be A
4 0
3 years ago
Read 2 more answers
Evaluate the summation of negative 5 n minus 1, from n equals 3 to 12..
NARA [144]

The summation of negative 5 n minus 1, from n equals 3 to 12 can be expressed as

n = 3/12

substitute the value of n to the equatio

-5n – 1

-5( 3/12 ) -1

-9/4

5 0
3 years ago
47. What is the 12th term of the geometric sequence?
GrogVix [38]

Answer:

A

Step-by-step explanation:

The rule is 2x.

So 3,6,12,24,48,96,192,384,768,1536,3072,6144,12288,....

The question asked for the 12th term so 6144.

5 0
3 years ago
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A tuition bill for school states that Brenda owes $438. She wants to pay off her bill in 6 months. Write and solve an inequality
Marta_Voda [28]

Answer:

Step-by-step explanation:

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3 years ago
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