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2 years ago

The sum of two number is 50,and their difference is 30.find the numbers

Mathematics

2 answers:

Mrac [35]2 years ago

6 0

Answer:

40 and 10

Step-by-step explanation:

if you add them you get 50 and if you subtract them you get 30

rodikova [14]2 years ago

3 0

Answer:

40 and 10

Step-by-step explanation:

Let the bigger number = x

Let the smaller number = y

x+y=50

x-y=30

(add the equations)

(x+x)+(y-y)=(50+30)

2x=80

x=40

x+y=50

40+y=50

y=10

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Directions: Match the product and quotients estimates below with the correct expression on the left

prohojiy [21]

Answer:

Answer is in attached image.

Step-by-step explanation:

Given the expressions, for which we have to find the estimates as per the expressions on the left.

The given expressions are:

1) 35 $\times$ 23

2) 132 $\div$ 168

3) 17.3 $\times$ 18.4

4) 999 $\div$ 208

5) 998 $\times$ 211

Here, we need to find the rounded off numbers.

35 can be rounded to 40 and 23 to 20.

Therefore, equivalent to 35 $\times$ 23 is 40 $\times$ 20

132 can be rounded to 130 and 168 to 170.

Therefore, equivalent to 132 $\div$ 168 is 130 $\div$ 170.

17.3 can be rounded to 17.0 and 18.4 to 18.0.

Therefore, equivalent to 17.3 $\times$ 18.4 is 17.0 $\times$ 18.0.

999 can be rounded to 1000 and 208 to 210.

Therefore, equivalent to 999 $\div$ 208 is 1000 $\div$ 210.

998 can be rounded to 1000 and 211 to 210.

Therefore, equivalent to 998 $\times$ 211 is 1000 $\times$ 210.

The solution can be found in the attached image as well.

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2 years ago

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crimeas [40]

The correct answer is B C and D

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3 years ago

What is the quotient. 4x^2+25x+12 divided by x+5

AveGali [126]

4x2 - 25x + 27

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2 years ago

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One positive number is one-fifth of another number. the difference of the two numbers is 84. find the numbers.

seraphim [82]

Answer: The numbers are: " 21 " and " 105 " .
___________________________________________________
Explanation:
___________________________________________________
Let "x" be the "one positive number:

Let "y" be the "[an]othyer number".

x = 1/5 (y)
___________________________________________________
Given that the difference of the two number is "84" ; and that "x" is (1/5) of "y" ; we determine that "x" is smaller than "y".

So, y − x = 84 .

Add "x" to each side of this equation; to solve for "y" in terms of "x" ;

y − x + x = 84 + x ;

y = 84 + x ;
___________________________________________________
So, we have:

x = (1/5) y ;

and: y = 84 + x ;

Substitute "(1/5)y" for "x" ; in "y = 84 + x " ; to solve for "y" ;

y = 84 + [ (1/5)y ]

Subtract " [ (1/5)y ] " from EACH SIDE of the equation ;

y − [ (1/5)y ] = 84 + [ (1/5)y ] −  [ (1/5)y ] ;

to get:

[ (4/5)y ] = 84 ;

       ↔    (4y) / 5 = 84 ;

        → 4y = 5 * 84 ;

      Divide EACH SIDE of the equation by "4" ;
to isolate "y" on one side of the equation; and to solve for "y" ;

           4y / 4 = (5 * 84) / 4 ;

                 y = 5 * (84/4) = 5 * 21 = 105 .

   y = 105 .
___________________________________________________
Now, plug "105" for "y" into:
___________________________________________________
Either:
___________________________________________________
x = (1/5) y ;

OR:

y = 84 + x ;
___________________________________________________
to solve for "x" ;
___________________________________________________
Let us do so in BOTH equations; to see if we get the same value for "x" ; which is a method to "double check" our answer ;
___________________________________________________
Start with:

x = (1/5)y

    → (1/5)*(105) = 105 / 5 = 21 ; x = 21 ;

___________________________________________________
So, x = 21; y = 105 .
___________________________________________________
Now, let us see if this values hold true in the other equation:
___________________________________________________
y = 84 + x ;

105 = ? 84 + 21 ?

105 = ? 105 ? Yes!
___________________________________________________
The numbers are: " 21 " and "105 " .
___________________________________________________

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3 years ago

If the total area of a dartboard is 30,000 mm2 and the area of the bull's-eye is 1000 mm2, what is the probability of getting a

AlladinOne [14]

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3 years ago

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The sum of two number is 50,and their difference is 30.find the numbers​

The sum of two number is 50,and their difference is 30.find the numbers