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inna [77]
3 years ago
13

Solve -5(x+2)-3x=(x-4)+2x

Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

x= -6/11 or x= -0.54

Step-by-step explanation:

Distribute into the parenthesis.

-5x-10-3x= 1x-4+2x

*In order to get rid of these parenthesis, multiply by an "invisible one"

Now, add or subtract the common multiples.

-8x-10= 3x-4

Then, move the variable to one side. You do that by adding 8x to both sides, since -8x is less than 3x.

-8x-10= 3x-4

+8x     +8x

Once you've moved the variable to one side, add 4 to both sides.

-10= 11x-4

+4       +4

Then, divide both sides by 11 to isolate the variable.

<u>-6</u>= <u>11x</u>

11    11

This leaves you with..

x= -6/11 or x=-0.54

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3 years ago
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A container contains 1212 diesel engines. The company chooses 88 engines at​ random, and will not ship the container if any of t
bija089 [108]

Answer:

The probability that a container will be shipped even though it contains 2 defectives if the sample size is 88, will be P(S)=85.99\%

Step-by-step explanation:

The first step is to count the number of total possible random sets of taking a sample size of 88 engines over 1212 engines of the population, so \left[\begin{array}{ccc}1212\\88\end{array}\right] =1212C88=4.7205x10^{135}

The second step is to count the number of total possible random sets of taking a sample size of 88 engines over 1210 engines (discounting the 2 defective engines) as the possible ways to succeed, so \left[\begin{array}{ccc}1210\\88\end{array}\right] =1212C88=4.0596x10^{135}

Finally we need to compute \frac{\# ways\ to\ succeed}{\# random\ sets\ of \ 88} =\frac{4.0596x10^{135}}{4.7205x10^{135}}=0.8599=P(S), therefore the probability that a container will be shipped is P(S)=85.99\%

7 0
3 years ago
If the length of an arc is 12 inches and the radius of the circle is 10 inches, what is the measure of the arc?
a_sh-v [17]
I guess what you are asking is what is the measure of the central angle?

arc length = radius * central angle (in radians)

central angle (in radians) = arc length / radius

central angle (in radians) = 12 / 10

central angle (in radians) = 1.2 radians = <span> <span> <span> 68.7549</span></span></span> degrees


3 0
3 years ago
Please help !<br>i don't understand !<br>​
Alja [10]

Answer:

the first one on the left. it should be a line of best fit.

4 0
4 years ago
Bill claims that he found the actual December temperature by adding either –5 + 3 or 3 + –5.
MaRussiya [10]

Answer:

This would be the commutative property because in either order the sum will always be the same.

You were asking about the property type, right?

8 0
3 years ago
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