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denis-greek [22]
3 years ago
7

Linear Equations 4(t-2) + 2t -4 = 2(9-2t)

Mathematics
1 answer:
Volgvan3 years ago
5 0

Hey!


Here is the equation:


4(t-2)+ 2t - 4 = 2(9-2t)


First remove the parentheses and multiply everything. Now it becomes:


4t - 8 + 2t - 4 = 18 - 4t


Combine all the terms with variables(like terms). It becomes:


6t - 12 = 18 - 4t


Add 4t to each side so you can move the variable. It becomes:


10t - 12 = 18


Add 12 to each side to leave the variable alone. It becomes:


10t = 30


At last, divide both sides by 10 to leave the variable by itself.


\frac{10t}{10} = \frac{30}{10}


Divide:


\framebox{t = 3}

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Which diagram shows two figures intersecting at exactly four points?
Anna35 [415]

Answer:

The rightmost figure

Step-by-step explanation:

That is the only figure where there are 4 points of intersection. It is a rhombus inscribed in a square

4 0
1 year ago
If carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make
Makovka662 [10]

Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.

<u>Step-by-step explanation:</u>

Carlos did the work as 3 x + 2 x - 6 = 24

We need to find his mistake that he made in above given.

Here, he did not add the like terms (3 x and 2 x)

             3 x + 2 x = 5 x

Therefore, his work should be

             5 x  - 6 = 24

Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be

                          5 x  - 6 = 24

                                 + 6 = + 6

                          -----------------------

                           5 x = 30

Dividing 30 by 5, we get answer as '6'. Hence,

                            x=\frac{30}{5} = 6

So, stated the above two are the mistakes found in carlos work.

4 0
3 years ago
A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for s
marishachu [46]
A) Here's your table as far as I can determine. Start by filling in the given numbers. The rest is simple addition and subtraction.

B) 5/100 = 5% of respondents don't like either volleyball or soccer.

C) 20% dislike soccer; 55% dislike volleyball. It seems that there is a greater dislike for volleyball.

8 0
3 years ago
PLEASE HELP QUICK
mezya [45]

Answer:

74

Step-by-step explanation:

Using linear equations, we are given two equations from the questions:

4x +7y=30 from day one and 3x +5y=22 from day two

Multiply the first equation by 3 and second by 4 giving us

12x +21y=90 and 12x +20y=88. Minus both equations.

12x - 12x +21y - 20y= 90 - 88, Gives you y=2,

You can now use the value of y to find x.

4x + 7y = 30

4x + 7(2)= 30

4x + 14= 30. Minus 14 on both sides giving you

4x=16. Divide both sides by 4.

x=4

Now use both values to find how much money is needed on the third day.

10x + 17y

=10(4) + 17(2)

=40 +34

=74

8 0
3 years ago
Math Problem please answer the question, (100 points + Brainy)
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3 0
3 years ago
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