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Ymorist [56]
3 years ago
14

Solve for x: 3 (x - 3) + 8x = 5(2x + 1)​

Mathematics
1 answer:
melomori [17]3 years ago
5 0

Answer:

x = 14

Step-by-step explanation:

3 (x - 3) + 8x = 5 (2x + 1)​

FOIL: 3x - 9 + 8x = 10x +5

Move all the x terms to one side and all the constants to the other:

3x + 8x - 10x = 5 + 9

Combine like terms: x = 14

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Choose the option that correctly completes the statement.
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The answer is:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

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3 years ago
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
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Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

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3 years ago
The school cafeteria served 2,680 cups of milk in March and 1,480 cups of milk in April. How many quarts of milk did the cafeter
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
If a/\2+1/a/\2=11, then a+1/a=?
Nadya [2.5K]

Answer:

\pm \sqrt{13}

Step-by-step explanation:

\bigg(a +  \frac{1}{a}  \bigg)^{2} =  {a}^{2}   +  \frac{1}{ {a}^{2} }  + 2 \times a \times  \frac{1}{a}  \\  \\ \bigg(a +  \frac{1}{a}  \bigg)^{2} = 11 + 2 \\  \\   \bigg(a +  \frac{1}{a}  \bigg)^{2} = 13 \\  \\  \bigg(a +  \frac{1}{a}  \bigg) =  \pm \sqrt{13}

5 0
3 years ago
Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since
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Answer:

c. $1,291.30

Step-by-step explanation:

Calculation what will his new annual homeowners insurance premium be

Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]

Insurance premium=$1,106.30+$185

Insurance premium=$1,291.30

Therefore what his new annual homeowners insurance premium will be is $1,291.30

5 0
3 years ago
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