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gtnhenbr [62]
3 years ago
6

The hundreds digit and the ones digit of a three digit number are the same. The sum of its tree digits are 16. If the tens digit

and the ones digit are exchanged, the number increases by 45. What is the number?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0
<h2>727</h2>

Step-by-step explanation:

       Let us denote the three digit number by abc, where a is the hundreds digit, b is the tens digit and c is the ones digit.

       Hundreds digit = a = Ones digit = c

       Sum of digits = a+b+c=16

       So, 2c+b=16

       On exchanging tens and ones digit, value increases by 45. So acb is 45 greater than abc.

       acb-abc=45

       100a+10c+b-100a-10b-c=45\\9c-9b=45\\c-b=5

       2c+b=16,c-b=5\\3c=21\\c=7=a\\b=2

∴ Required number is 727

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Mandarinka [93]

Answer:

The equation is 0.11x + 0.25 = 0.15x (I think) and the answer is 6.25 = x

Step-by-step explanation:

0.11x + 0.25 = 0.15x  Subtract 0.11x from both sides

-0.11x              -0.11x

0.25 = 0.04x Divide both sides by 0.04

6.25 = x

4 0
2 years ago
How many sides does a quadrillateral have
masya89 [10]

Answer: 4

Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side

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2 years ago
The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width
Alenkasestr [34]

Complete question :

Answer:

Width = 14 yards ; length = 25 yards

Step-by-step explanation:

Given that :

The length of a rectangular garden is 3 yd less than twice its length. The perimeter of the garden is 78 yd. What are the width and length of the garden?

Width of garden (W) = w

Lenght of garden (L) = 2w - 3

Perimeter of a rectangle : 2 (L + W)

2(2w - 3 + w) = 78

2(3w - 3) = 78

6w - 6 = 78

6w = 78 + 6

6w = 84

w = 14 yards

Length = 2(14) - 3

Length = 28 - 3 = 25 yards

3 0
2 years ago
Show how to make one addend the next tens number. complete the new addition sentence. 15+37=?
Dafna1 [17]
52, 15+37=52            llllllllll                                                                                                              
7 0
3 years ago
Read 2 more answers
The area of a square in square feet is
Sedaia [141]

Answer:

Part 1) The expression for the perimeter is P=4(25z-3) or  P=100z-12

Part 2) The perimeter when  z = 15 ft. is P=1,488\ ft

Step-by-step explanation:

Part 1)

we have

625z^{2}-150z+9

Find the roots of the quadratic equation

Equate the equation to zero

625z^{2}-150z+9=0

Complete the square

Group terms that contain the same variable, and move the constant to the opposite side of the equation

625z^{2}-150z=-9

Factor the leading coefficient  

625(z^{2}-(150/625)z)=-9

625(z^{2}-(6/25)z)=-9

Complete the square. Remember to balance the equation by adding the same constants to each side

625(z^{2}-(6/25)z+(36/2,500))=-9+(36/4)

625(z^{2}-(6/25)z+(36/2,500))=0

Rewrite as perfect squares

625(z-6/50)^{2}=0

z=6/50=0.12 -----> root with multiplicity 2

so

The area is equal to  

A=625(z-0.12)(z-0.12)=[25(z-0.12)][25(z-0.12)]=(25z-3)^{2}

The length side of the square is b=(25z-3)

therefore

The perimeter is equal to

P=4b

P=4(25z-3)

P=100z-12

Part 2) Find the perimeter when  z = 15 ft.

we have

P=100z-12

substitute the value of z

P=100(15)-12=1,488\ ft

4 0
3 years ago
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