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2 years ago

Write the value of the 6 in 106,534

Mathematics

1 answer:

telo118 [61]2 years ago

8 0

6,000 is the value of 6 in 106,534

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The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le

I am Lyosha [343]

Answer:

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

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2 years ago

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Kamila [148]

I hope this one help you

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3 years ago

the perimeter of a rectangle window is 36 feet. the width of the window is 4 feet more than the the length. what are the dimensi

abruzzese [7]

The dimensions are 4.5 x 8.5.

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2 years ago

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PLEASE HELP WITH THIS ONE QUESTION

AnnyKZ [126]

Answer:

The solution is in the attached file

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2 years ago

If triangle VWZ is congruent to triangle XWY, find the length of YX.

valkas [14]

Answer:

Measure of side YX is 22 units.

Step-by-step explanation:

Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.

$\frac{VW}{XW}=\frac{VZ}{XY}=\frac{WZ}{WY}$

By substituting the values given in the picture in the ratio,

$\frac{45}{30}=\frac{(3x-9)}{(x+8)}=\frac{36}{24}$

$\frac{(3x-9)}{(x+8)}=\frac{3}{2}$

By cross multiplication,

2(3x - 9) = 3(x + 8)

6x - 18 = 3x + 24

(6x -18) + 18 = 3x + 24 + 18

6x - 3x = (3x + 42) - 3x

6x - 3x = 42

3x = 42

x = $\frac{42}{3}$

x = 14

m(YX) = x + 8

= 14 + 8

= 22

Therefore, measure of side YX is 22 units.

8 0

2 years ago