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nadezda [96]
2 years ago
8

Twice the sum of two numbers is 24. if one number is 2 times larger than the other, what is the smaller of the two numbers?

Mathematics
1 answer:
Vikki [24]2 years ago
4 0
2(x+y)=24
2x=y

Use substitution. If y=2x, than we can substitute 2x for it in the other equation, because x and y equal the same things in both equations. 

So using that we get 2(x+2x)=24

SIMPLIFY
2(3x)=24

DISTRIBUTE
6x=24. 

DIVIDE: x=4.

If we substitute x into the original equations we get x=4 and y=8. Those are your two numbers. 

Have a nice day! :)


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A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation
NISA [10]

The average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.

<h3>What is simple random sampling?</h3>

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A shipping company claims that 95% of packages are delivered on time.

From the table:

00- 04 is the package not delivered on time.

05-99 - package delivered on time.

The first simulation's third number, 31, 64, 04, is where you can locate an item that wasn't delivered on time.

The second simulation's second number, 34, 02, is the location of a late-delivered delivery.

The third simulation is equal to 96,00 - the second number, which is the location of a late package.

The second number where to find a shipment not delivered on time in the fourth simulation is 31,04

Where to find a box that wasn't delivered on time in the fifth simulation: 98, 01, second number

The average number = (3 + 2 + 2 + 2 + 2)/5

= 11/5

= 2.2

Thus, the average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.

Learn more about the simple random sampling here:

brainly.com/question/13219833

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5 0
2 years ago
Please help with this question asap
stepladder [879]

Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared

In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well.  (180 - 90 -45 = 45)

This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.

So we can say that length of leg1 = x, and the length of leg2 also equals x

Now let's use pythagoras' theorem:

leg1 = x

leg2 = x

hypotenuse = 16

x^2 + x^2 = 16^2

      2x^2 = 16^2

      2x^2  = 256

        x^2 = 128

        x = √(128)

        x = 8√2

3 0
3 years ago
107 = 7 - 2(7b - 1) what does b equal?
topjm [15]

107 = 7 -2 (7b - 1)

First, distribute -2 to all terms within the parenthesis

-2(7b - 1) = -14b + 2

107 = 7 -14b + 2

Combine like terms

107 = -14b (+7 + 2)

107 = -14b + 9

Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Subtract 9 from both sides

107 (-9) = -14b + 9 (-9)

107 - 9 = -14b

98 = -14b

Isolate the b. Divide -14 from both sides

(98)/-14 = (-14b)/-14

98/-14 = b

b = −7

-7 is your answer

hope this helps

5 0
3 years ago
Help me please no coin thots I will report please explain your answer
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Should be equal to. sorry if its incorrect, but that's what i would go with.

7 0
3 years ago
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Ethan's taxable income is $87,525. Use this tax schedule to calculate the total amount he owes in taxes.
V125BC [204]

Answer: $18,617.75 is the answer

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$10,425 x .28=$2,919 (the 28% taxed amount over $77,100)

$2,919+$15,698.75 (the already taxed amount in the chart)=$18,617.75

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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