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3 years ago

What is the solution for this system of equations? y= -1/4x + 6y= x+1

Mathematics

1 answer:

snow_lady [41]3 years ago

3 0

9514 1404 393

Answer:

(x, y) = (4, 5)

Step-by-step explanation:

Equating the expressions for y gives ...

-1/4x +6 = x +1

5 = 5/4x . . . . . . . add 1/4x-1

4 = x . . . . . . . . . . multiply by 4/5

y = x +1 = 4 +1

y = 5

The solution is (x, y) = (4, 5).

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Kyle and his friends share some apple pie equally. Each person gets 7/5 of the pies. Which of the following shows a possible way

stiv31 [10]

Answer:

7 apples divided among 5 people

Step-by-step explanation:

Given

Apple shared equally

Portion of each person = 7/5

Required

A possible way that shows how the pies were shared.

Given that 7/5 is the ration of the pie to each individual (Kyle and his friends).

Provided that each individual got equal ration....

The ration can be divided into two

The numerator = 7

The denominator = 5.

The numerator shows the number of things that were shared.

Hence, 7 apples were shared.

The denominator shows the number of people involved.

Hence, 5 people were involved.

So, we can conclude that 7 apples were divided among 5 people.

From option A through D, only option B satisfied this analysis

6 0

3 years ago

a parallelogram has one angle that measures 55 degrees. what are the measures of the other angles in the parrelogram.

Ugo [173]

a parallelogram has four sides so all its angles add up to make 360

the angle across from the 55 would also be a 55 equaling a 110 degrees angle leaving you with 250 so your other two angles both equal 125

3 0

3 years ago

What is the quotient of the complex number 4-3i divided by its conjugate?

bazaltina [42]

9514 1404 393

Answer:

0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

$\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}$

_____

<em>Additional comment</em>

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

3 0

3 years ago

On Monday, It took Helen three hours to do a page of science homework exercises. The next day she did the same number of exercis

disa [49]

.5 pages per hour? I'm not positive but I think that's right since she did one page of homework per day, 2 hours for one page would simplify to a half of a page per hour

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3 years ago

Simplify the following surd expressions

AlexFokin [52]

Answer:

A) $\sqrt{2}$

B) $4\sqrt{11}$

Step-by-step explanation:

A) You can add these expression because they contain the same square root:

$6\sqrt{2} - 5\sqrt{2} = (6 - 5)\sqrt{2} =\sqrt{2}$

B) Same as above:

$\sqrt{11} + 3\sqrt{11} = (1 + 3)\sqrt{11} = 4\sqrt{11}$

3 0

3 years ago

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What is the solution for this system of equations? y= -1/4x + 6y= x+1​

What is the solution for this system of equations? y= -1/4x + 6y= x+1