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3 years ago

A type of reasoning that uses previously proven or accepted properties to reach conclusion is...

Mathematics

1 answer:

Basile [38]3 years ago

3 0

I think the answer would be inductive! I hope this helps!

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What is the solution of this system of linear equations? 3y=3/2x+6 1/2y-1/4x=3.

tensa zangetsu [6.8K]

Answer:

No solution

Step-by-step explanation:

Please, separate equations with a comma, or the word "and," or a semicolon.

Next, determine the LCD and multiply both equations by it, so as to elimiinate the fractional coefficients.

3y=3/2x+6 1/2y-1/4x=3

should be written as the system

3y=(3/2)x+6 Use parentheses around the fraction for clarity

(1/2)y-(1/4)x=3 Same: use parentheses

The LCDs here are 2 (for the first equation) and 4 (for the second equation). Multiply the first equation by 2 to eliminate the fractions:

3y=(3/2)x+6 → 6y = 3x + 12, and

4[ (1/2)y-(1/4)x=3 ] → 2y - x = 12

Let's use the substitution method to solve this system. Solve the 2nd equation for x, obtaining x = 2y - 12. Substitute 2y - 12 for x in the 1st equation 6y = 3x + 12:

6y = 3(2y - 12) + 12, or

6y = 6y - 36 + 12

This reduces to 0 = -24, which is never true. Thus,

this system has NO solution.

5 0

3 years ago

The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the

daser333 [38]

X+y+z=92

y=3x

z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute

y=3x
y=3(17)
y=51

z=2x-10
z=2(17)-10
z=34-10
z=24

x=17
y=51
z=24

the numbers are 17,51,24

4 0

3 years ago

Read 2 more answers

I buy 8 apples for a dollar. how many can i get for 10 dollars

Ugo [173]

80, 8 x 10 = 80 apples

8 0

3 years ago

Read 2 more answers

A prism has a right triangle as its base.

gavmur [86]

Answer:

168 cm³

Step-by-step explanation:

The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.

So, the third side of the triangle = $\sqrt{10^{2}-6^{2} }=8$ cm.

{Since we have applied the Pythagoras theorem.}

Hence, the area of the base triangle is $\frac{1}{2} \times 8 \times 6 = 24$ cm².

Therefore, the volume of the prism is = $24\times 7=168$ cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}

(Answer)

3 0

4 years ago

There are about 6 billion people on Earth. If they all lined up and held hands, how long of a line would they form in km? (Assum

Zina [86]

If they all lined up and held hands, the line will be 6 billion meter apart.

3 0

4 years ago