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3 years ago

Describe two ways 5000 and 500 are related

Mathematics

1 answer:

dalvyx [7]3 years ago

5 0

Answer:

they both can be multiplied by 10 and both have more than one 0

Step-by-step explanation:

50*10=500

500*10=5000

sorry this is my first time answering a question so idk fully if its right -_-

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The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed 2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0

3 years ago

A race car driver under the caution flag at 10 feet per second begins to accelerate at a constant rate after the warning flag. T

Ad libitum [116K]

It would take the car 20 seconds

7 0

3 years ago

Read 2 more answers

Help to solve this word problem?

goldfiish [28.3K]

Let's assume

length =l

width =w

we are given

the width of a rectangle is 7 feet less than its length

so, we get

$w=l-7$

now, we know that

area = length*width

$A=l*w$

now, we can plug w

$A=l*(l-7)$

we have

Area=170

$170=l*(l-7)$

$l^2-7l-170=0$

now, we can factor it

$(l-17)(l+10)=0$

now, we can solve for l

$(l-17)=0$

$length=17 feet$

now, we can find width

$w=17-7$

$width=10 feet$

so, dimensions are

$length=17 feet$

$width=10 feet$ ...............Answer

5 0

3 years ago

What is the value of X A 61 B 37 C 85 D 123

iragen [17]

vertical angles are equal

2x + 24 = 146

2x = 122

x = 61

Answer

A. 61

4 0

3 years ago

In a lottery game a player wins $1,000,000 with probability 0.0000005, wins $200,000 with probability0.000002, and wins $30,000

MariettaO [177]

Answer:

$X_1 = 1000000 , P(X_1)= 0.0000005$

$X_2 = 200000 , P(X_2)= 0.000002$

$X_3 = 30000 , P(X_3)= 0.00001$

$X_4 = -2, P(X_4) = 1-0.0000005-0.000002-0.00001= 0.9999875$

And then replacing we have this for the expected value:

$E(X) = 1000000*0.0000005 +200000*0.000002+30000*0.00001 2*0.9999875$

And after do the math we got:

$E(X) = -0.79998$

And then the expected value for this game is -0.79998 a negative result means NOT a win.

Step-by-step explanation:

For this case we can define the random variable X as the amount that we can win. We can find the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And we have the following probabilities and possible values given:

$X_1 = 1000000 , P(X_1)= 0.0000005$

$X_2 = 200000 , P(X_2)= 0.000002$

$X_3 = 30000 , P(X_3)= 0.00001$

$X_4 = -2, P(X_4) = 1-0.0000005-0.000002-0.00001= 0.9999875$

And then replacing we have this for the expected value:

$E(X) = 1000000*0.0000005 +200000*0.000002+30000*0.00001 2*0.9999875$

And after do the math we got:

$E(X) = -0.79998$

And then the expected value for this game is -0.79998 a negative result means NOT a win.

7 0

3 years ago