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3 years ago

Multiply 6x+3=3(2x+3)

Mathematics

1 answer:

sattari [20]3 years ago

3 0

Answer:

When the distributive property is used on the right side of the equation:

6x + 3 = 6x + 9

**If you wanted to go further by combining like terms, there would no longer be an "x" and all that would be left is 6 or -6, depending on how you combined them**

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solniwko [45]

Answer:

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Step-by-step explanation:

4x - 2 + x - 2

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3 years ago

Find the smallest positive $n$ such that \begin{align*} n &\equiv 3 \pmod{4}, \\ n &\equiv 2 \pmod{5}, \\ n &\equiv

Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number $x$ such that taking it mod 4, 5, and 7 leaves the desired remainders:

$x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6$

Taken mod 4, the last two terms vanish and we have

$x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4$

so we multiply the first term by 3.

Taken mod 5, the first and last terms vanish and we have

$x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5$

so we multiply the second term by 2.

Taken mod 7, the first two terms vanish and we have

$x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7$

so we multiply the last term by 7.

Now,

$x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147$

By the CRT, the system of congruences has a general solution

$n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}$

or all integers $27+140k$ , $k\in\mathbb Z$ , the least (and positive) of which is 27.

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3 years ago

A garden measures 6 feet by 7 feet. A gravel path of constant width is placed around the garden so that the total area is 72 squ

frosja888 [35]

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3 years ago

Read 2 more answers

Does 1\2 = 2\3 or would it 1\2 ≤ 2\3

qaws [65]

Answer:

1/2 < 2/3

Step-by-step explanation:

1/2 = .5 in decimal form while 2/3 is .6 repeating in decimal form

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2 years ago

Read 2 more answers

Carl ordered a package that weighs 192 pounds. It was shipped to him inside a box and surrounded by packing material. The total

AURORKA [14]

Answer:

The weight of box and pocking material $=13$ pound

Step-by-step explanation:

Let the weight of box and packing material $=x$

weight of package $=192$ pounds

total weight $=205$ pound

$x+192=205$

Subtract both side by $192$

$x+192-192=205-192\\x+0=13\\x=13$

Hence weight of box and packing material $=13$ pound

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3 years ago

Multiply 6x+3=3(2x+3)​

Multiply 6x+3=3(2x+3)