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Elina [12.6K]
2 years ago
11

Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to

its right?
Mathematics
1 answer:
masya89 [10]2 years ago
5 0

Answer:

Value of middle 7 = \frac{1}{10}(value of 7 to the left of the middle 7)

Value of middle 7 = 10(value of 7 to the right of the middle 7)

Step-by-step explanation:

7 in the middle of number 0.777 is equal to \frac{7}{100}

7 to the left of the middle 7 is equal to \frac{7}{10}

So,

\frac{7}{100}=(\frac{1}{10}) \frac{7}{10}

That is value of middle 7 = \frac{1}{10}(value of 7 to the left of the middle 7)

Also,

7 to the right of the middle 7 is equal to \frac{7}{1000}

So,

\frac{7}{100}=(10) \frac{7}{1000}

That is value of middle 7 = 10(value of 7 to the right of the middle 7)

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A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
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Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

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2 years ago
Solve the simultaneous equation 3x²-xy=0, 2y-5x=1​
ratelena [41]

Answer:

  (x, y) = (0, 1/2) or (1, 3)

Step-by-step explanation:

The first equation factors as ...

  x(3x -y) = 0

This has solutions x=0 and y=3x.

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<u>x = 0</u>

Using this in the second equation gives ...

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<u>y = 3x</u>

Using the expression for y in the second equation, we get ...

  2(3x) -5x = 1

  x = 1 . . . . . . . . . simplify

  y = 3x = 3 . . . . using x=1 in the first equation

  (x, y) = (1, 3) is a solution

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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.

4 0
2 years ago
Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the
marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

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thus

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5 0
2 years ago
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The given equation is
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Answer: 1 1/4 or 1.25 cm
 

6 0
2 years ago
Read 2 more answers
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