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2 years ago

Describe what is being done in each step while solving the equation -2x + 6 +6x = 6 ( 2x -3 )

Mathematics

1 answer:

Serggg [28]2 years ago

5 0

-2x + 6 + 6x = 6 (2x - 3) this is the equation

-2x + 6 + 6x = 12x - 18 distributive property has been applied

4x + 6 = 12x - 18 like terms have been added

6 = 8x -18 4x has been subtracted from both sides

24 = 8x -18 has been added to both sides

3 = x 8 has been divided from both sides

I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!

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a motorboat travels 305km in 5 hours going upstream and 651km in 7 hours going downstream. What is the rate of the boat in still

Ghella [55]

Recall your d = rt, distance = rate * time.

b = speed rate of the boat.

c = speed rate of the current.

keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.

likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".

$\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&305&b-c&5\\
Downstream&651&b+c&7
\end{array}
\\\\\\
\begin{cases}
305=(b-c)(5)\implies 61=b-c\implies 61+c=\boxed{b}\\
651=(b+c)(7)\implies 93=b+c\\
----------------------\\
93=\boxed{61+c}+c
\end{cases}
\\\\\\
93=61+2c\implies 32=2c\implies \cfrac{32}{2}=c\implies 16=c$

what is the speed of the boat? well, 61 + c = b.

6 0

3 years ago

Simplify the logarithm log2(32)

Rom4ik [11]

let log2 32 = x

then 2^x = 32

but we know 2^5 = 32

therefore, x = 5

6 0

2 years ago

Read 2 more answers

I am confused and dont know what to do .....

choli [55]

Answer:

Try negative 10

Step-by-step explanation:

I took the test

8 0

2 years ago

You have a can that is in the shape of a cylinder. It has a volume of about 1,738 cubic centimeters. The height of the can use 2

Papessa [141]

Answer:

~8.7

Step-by-step explanation:

So we know that the formula for volume is 3.14 * r^2 * h.

So first we do 1738/23 to get an ugly ~ 75.6 Now he have to square root that to get r.

The square root of 75.6 is ~ 8.7

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2 years ago

In each figure below, find m<1 and m<2 if a is parallel to b. You don't have to show work.

Gekata [30.6K]

Answer:

m <5 = 71 degrees.

m <8 = 109 degrees.

5 0

2 years ago