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agasfer [191]
3 years ago
7

Cameron and his family were eating leftover lasagna. There was 1/2 of the lasagna left. Cameron has one brother, one sister, and

two parents. If everyone gets the same size piece, what fraction of the original lasagna does each of the member of Cameron's family receive?
My answer was 1/10, but I'm not really sure. Is my answer correct?
Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0
Yes u r right because..
1/2=5/10
If there are 4 people,
each one of them gets a tenth

Aleks [24]3 years ago
8 0

Solution:

we are given that

Cameron and his family were eating leftover lasagna. There was 1/2 of the lasagna left.

Cameron has one brother, one sister, and two parents....it mean a total of 5 family members.

Everyone gets the same size piece.

It mean we are going to divide 1/2 of the leftover lasagna among 5 people.

SO the fraction of left over lasagna that each person will get is \frac{1/2}{5} =\frac{1}{10}th

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Inessa05 [86]
You would average 52 words a minute.

8580 / 165 (60 + 60 + 45) = 52
6 0
2 years ago
Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?
Lubov Fominskaja [6]

Answer:

  yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

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For the first parabola, the point of intersection is ...

  y^2 = 4(-y-1)

  y^2 +4y +4 = 0

  (y+2)^2 = 0

  y = -2 . . . . . . . . one solution only

  x = -(-2)-1 = 1

The point of intersection is (1, -2).

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For the second parabola, the equation is the same, but with x and y interchanged:

  x^2 = 4(-x-1)

  (x +2)^2 = 0

  x = -2, y = 1 . . . . . one point of intersection only

___

If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

7 0
3 years ago
John owns shares in a mutual fund and shares of individual stocks in his brokerage account. The Form 1099-DIV from the mutual fu
Bond [772]

Question options:

A. He should report them directly on form 1040

B. He should report them on form 8949 and then on schedule D

C. He should report them on schedule D

D. He is not required to report them until he sells the underlying securities

Answer:

B. He should report them on form 8949 and then on schedule D

Explanation:

John has shares which have capital gains from a mutual fund and a brokerage account. In order to report his taxes, he would need to use the Schedule D(form 1040) for his mutual fund capital gains and the form 8949 for his brokerage capital gains. The brokerage capital gains is then transferred to schedule D.

7 0
3 years ago
Write the quadratic function in vertex form. y=-3x^2+24x-50
castortr0y [4]

Answer:

Step-by-step explanation:

y = -3x² + 24x - 50

factor out leading coefficient

y = -3(x² - 8x) - 50

complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = -3(x² - 8x + 4²) + 3(4²) - 50

y = -3(x-4)² - 2

4 0
3 years ago
If all perpendicular lines are also intersecting lines, are all interesting lines also perpendicular lines? Explain, you'r answe
DerKrebs [107]

No.

Perpendicular lines are lines that intersect at a 90° angle.

If two lines are perpendicular, they create four 90° angles.

However, for two lines to intersect, they do not necessarily have to intersect at a 90° angle.

<em>All roses are flowers, but not all flowers are roses.</em>

<em>All perpendicular lines are intersecting lines, but not all intersecting lines are perpendicular.</em>


3 0
3 years ago
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