Mathematics College

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality

Answers

Answer 1

Answer:

Substitution property of equality

Step-by-step explanation:

Given

[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]

Then

[tex]4(2y + 1) + 9 = 15[/tex]

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If [tex]a = b[/tex] then [tex]b = a[/tex]

In other words, both can replace one another.

So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]

So:

[tex]4x + 9 = 15[/tex]  becomes

[tex]4(2y + 1) + 9 = 15[/tex]

Hence, it is substitution property of equality

Related Questions

which value completes the table?​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Plug in -3 to t^2-3

-3^2-3

9-3

6

A is the only answer that has 6. So your answer would be A

b) 7p + 6q- 2p + q = ?

Answers

[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]

Answer:

5p+7q is the answer

Step-by-step explanation:

Who is good at math?

Answers

Answer:

me depending on what kind of math it is

Step-by-step explanation:

HELP PLZ WILL GIVE BRAINLYEST

Answers

Answer:

Light blue

Step-by-step explanation:

Answer:

x ≥ -5

Step-by-step explanation:

question is in the picture pls help me. much appreciated

Answers

Okay for a diagonal length it isn’t to hard. So 2y-3 is half of the 12 diagonal

So 2y-3+ 2y-3 = 12 or 4y-6= 12
Add 6 to both sides 4y=20
Divide 4 from both sides y=5

Hope this helps

2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?

Answers

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)


If one side of a cube is
(3x + 5) in, what is the volume of the cube? Represent volume
as a simplified polynomial.

Answers

It will be 8 this is the answer

YO NEED SOME HELP ON THIS END OF GRADE SOON!!

Answers

Answer: b

Step-by-step explanation:

Cuz is a negative get in absolute value it always comes out positive

And it says below 0-9=-9

Answer:

B

Step-by-step explanation:

__________________________________________________________

B is the answer because,

if the negative sign is not inside the "brackets," then the number will still be negative.

__________________________________________________________

But, if the negative sign is connected to the number, or inside the "brackets," then it will always be positive.

__________________________________________________________

Here are the reasons why the rest are wrong.

__________________________________________________________

A is not correct because the outcome isn't negative, even though it's correct in mathematical instances.

__________________________________________________________

C is not correct because it is plainly not correct in itself.

__________________________________________________________

D is also not correct because it is not correct in the mathematical equations, even though it has a -9 as the equal, it's still wrong.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

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