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kicyunya [14]
3 years ago
12

If the digits of a three-digit number are reversed in order, then the sum of the new resulting number and the original number co

mes out to be 665. The difference of the two numbers is 297. The tens’ digit place is two times the hundreds’ place digit. What is the number?
Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0
First we have to setup system of equations for the given case.
Let x is the original number and y is the reverse three digit number.
Then,
x+y=665  Equation 1
x-y=297 Equation 2
Add both equations to get.
2x=962
Divide both sides by 2.
x=481
This is the original number. And reverse number is : 481+y=962
y=184

Here Hundredth digit is 4, and tenth digit is 8 which is 2 times of the hundredth digit. 

Answer: Number is 481

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alina1380 [7]
So,

Let's manipulate this into the y=mx + b form.

Add 4x to both sides
-6y = 4x + 24

Divide both sides by -6
y =  \frac{4}{-6} x - 4

Just use the slope to find the points you need.

The y-intercept is (0,-4).

The slope is \frac{4}{-6}.  Finding the next point:
(-6,0)

You could have also used the <em>slope intercept method.</em>

-4(0) - 6y = 24
-6y = 24

Divide both sides by -6
y = -4
(0,-4)


-4x - 6(0) = 24
-4x = 24

Divide both sides by -4
x = -6
(-6,0)
3 0
3 years ago
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Mandarinka [93]

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for every liter it is 1/2 kilograms

Step-by-step explanation:

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3 0
3 years ago
Show me what repeated subtraction looks like for 93 divided by 3
Vanyuwa [196]
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90 - 3 = 87
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78 - 3 = 75 </span> <span>
75 - 3 = 72 </span> <span>
72 - 3 = 69 </span> <span>
69 - 3 = 66 </span> <span>
66 - 3 = 63 </span> <span>
63 - 3 = 60 </span> <span>
60 - 3 = 57 </span> <span>
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54 - 3 = 51
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48 - 3 = 45 </span> <span>
45 - 3 = 42 </span> <span>
42 - 3 = 39 </span> <span>
39 - 3 = 36 </span> <span>
36 - 3 = 33
</span> <span> 33 - 3 = 30 </span> <span>
30 - 3 = 27 </span> <span>
27 - 3 = 24 </span> <span>
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21 - 3 = 18 </span> <span>
18 - 3 = 15
</span> <span> 15 - 3 = 12 </span> <span>
12 - 3 = 9
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7 0
3 years ago
Rewriting expressions using algebraic properties doesn't change the value of the expression or the relationship it describes.
kiruha [24]

Answer:

  see attached

Step-by-step explanation:

No doubt you have examples showing the wording that is expected to be used here. We have made a guess.

power of a ratio: the numerator is raised to the power, as is the denominator. (a/b)^c = (a^c)/(b^c)

power of a product: each factor is raised to the power. (ab)^c = (a^c)(b^c)

power of a power: the powers are multiplied. (a^b)^c = a^(bc)

quotient of powers: the result when one power is divided by another is the difference of the numerator and denominator powers. (a^b)/(a^c) = a^(b-c)

_____

<em>Additional comment</em>

The order of operations tells you to simplify inside parentheses first. Doing that reduces the work somewhat.

  \left(\dfrac{-3x^3y}{x^2}\right)^4=(-3xy)^4=(-3)^4x^4y^4=81x^4y^4

6 0
3 years ago
What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Dmitrij [34]

Hey there!

The answer to your question is 4x^2+2x-2

Given:

x^2-3x+7 and 3x^2 +5x-9

First, we can start by adding like terms. The following are like terms:

x^2 and 3x^2

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Now, we can add these pairs together, giving us:

4x^2

2x

-2

Now, add all this together, and we get our answer as:

4x^2 + 2x - 2

Have a terrificly amazing day!

7 0
3 years ago
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