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BigorU [14]
2 years ago
8

On Low Budget Airlines, the maximum weight of the luggage a passenger can bring without charge is 50 pounds. Mary Ellen has deci

ded to weigh each item as she packs her bag. Use rounding to the nearest one pound to estimate the weight of her luggage.
The estimated weight is____pounds.

Mathematics
2 answers:
baherus [9]2 years ago
8 0

Answer:

50 pounds

Step-by-step explanation:

The maximum weight of the luggage a passenger can bring without charge is 50 pounds.

Mary Ellen has decided to weigh each item as she packs her bag.

weight of Suitcase = 3.65 lbs

weight of clothing = 4.35 lbs

weight of shoes = 8.67 lbs

weight of toiletries = 11.35 lbs

weight of extras = 21.63 lbs

Now we will add the weights of each items

Total weight = 3.65 + 4.35 + 8.67 + 11.35 + 21.63 = 49.65

Rounding to the nearest to the one pound will be = 50 lbs

(Since 0.65 is greater than 0.5 so by rounding off 0.65 will become 1.)

Therefore the estimated weight is 50 pounds.

densk [106]2 years ago
7 0
It's actually legit 50 pounds because you sound up if it's 5 or more but if it's less it stays the same
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FOR 14 POINTS Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she
Svetradugi [14.3K]

Answer:

<em>The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.</em>

Step-by-step explanation:

Given

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

Required

Spot the error in the viewer's calculation

The viewer represents the correct answers with x and the incorrect ones with y.

This implies that

x + y = 20

Also, for every correct answers, she gets 2 points;

<em>This can be represented by 2x</em>

and for every incorrect answers, she gets -1 point

<em>This can be represented by -y</em>

This implies that

2x - y = 28

This is where the viewer made a mistake

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

Solving further

2x - y = 28

x + y = 20

Add both equations together

2x + x + y - y = 28 + 20

3x = 48

Divide both sides by 3

\frac{3x}{3} = \frac{48}{3}

x = \frac{48}{3}

x = 16

Substitute x = 16 in x + y = 20

16 + y = 20

Subtract 16 from both sides

16 - 16 + y = 20 - 16

y = 20 - 16

y = 4

<em>This implies that the contestant answered 16 questions correctly and 4 questions incorrectly</em>

<em></em>

7 0
1 year ago
Read 2 more answers
An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining after 19 minutes, to the nearest
nadya68 [22]
The equation for exponential decay is y=a*b^x, where <em>a</em> is the initial amount, <em>b</em> = 1 + <em>r</em> (the growth rate as a decimal number) and <em>x</em> is the number of time periods (in this case, minutes).  Substituting the information we have:
y=430(1+-0.274)^1^9&#10;\\=430(1-0.274)^1^9&#10;\\=430(0.726)^1^9=0.98.  To the nearest tenth of a gram, this would be 1.0 grams.
7 0
2 years ago
Choose any positive integer. Powers of two here are not very interesting, so choose something else. If the number you have chose
Yakvenalex [24]

Answer:

Step-by-step explanation:

Let the integer be 6 for even and 7 for odd (say)

For 6, we divide by 2, now get 3.  Now we multiply by 3 and add 1 to get 10. Now since 10 is even divide by 5, now multiply by 3 and add 1 to get 16.  Now divide by 2 again by 2 again by 2 again by 2 till we get rid of even numbers.

The result is 1, so multiply by 3 and add 1 we get 4 now divide 2 times by 2 to get 1, thus this result now again repeats after 2 times.

Say if we select off number 3, multiply by 3 and add 1 to get 10 now divide by 5, now repeat the same process as above for 5 until we get 1 and it gets repeated every third time.

Thus whether odd or even after some processes, we get 1 and the process again and again returns to 1.

5 0
2 years ago
Two parabolas have the same focus, namely the point $(3,-28).$ Their directrices are the $x$-axis and the $y$-axis, respectively
jeyben [28]

Answer:

the slope of the common cord is: -1

Step-by-step explanation:

Given the focus (a,b) = (3,-28)

  • for a parabola with directrix at x-axis the equation will be

\left(x-a\right)^{2}+\left(y-b\right)^{2}=y^{2}

\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=0

  • for a parabola with directrix at y-axis the equation will be

\left(x-a\right)^{2}+\left(y-b\right)^{2}=x^{2}

\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}=0

The common chord is the line between two points where the two parabolas intersect. For intersection, we can equate the two parabolas!

In other words, at the point of intersection of these two parabolas the values of the two parabolas will be the same.

\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}

\left(x-3\right)^{2}+\left(y+28\right)^{2}-y^{2}=\left(x-3\right)^{2}+\left(y+28\right)^{2}-x^{2}

we can now simplify the equation. (we can see that (x-3) and (y+28) both cancel out by -(x-3) and -(y+28))

-y^{2}=-x^{2}

y=\sqrt{x^{2}}

y=\pm x

this the equation of the common cord. but we need to select whether its

y=+ x or y=-x.

This can be found by realizing that the focus lies on the 4th quadrant of the xy-plane! And the equation y=-x also generates a line that exists in the 2nd and 4th quadrant.

Hence the slope of the common cord is the slope of the line y=-x

that is : -1

3 0
2 years ago
2. Suppose that four times the square of a number equals 20 times that num-
Pie

Answer:

2. the answer is 5 because the square of 5 is 25 and 4 x 25 = 100 which is 20 x 5

Step-by-step explanation:

4 0
1 year ago
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