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kolezko [41]
2 years ago
10

The Smith family has three children: Tom, John, and Andy. Tom is younger than Andy. John is not older than Tom. From youngest to

oldest, how are the children ordered by age
Mathematics
2 answers:
blagie [28]2 years ago
5 0

Here, we have to analyse the words and ages

The first statement is "Tom is younger than Andy" means Andy is older than Tom. So first comes Andy and then Tom. Let's Rank Andy =1 and Tom = 2 with 1 assigned to the older.

Now, the next statement is "John is not older than Tom" This means John is younger than Tom. This also means Tom is older than John. So John would become the youngest and hence we assign John = 3 (meaning the youngest)

Ordering from Youngest to oldest would be John (Rank 3), Tom (Rank 2) and Andy (Rank 1)

To conclude the order from youngest to oldest would be John,Tom,Andy

LenaWriter [7]2 years ago
4 0
Andy, Tom, John
Tom is younger than Andy and John is younger than Tom
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Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

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A container has the shape of an open right circular cone, as shown. The height of the container is 10 cm and the diameter of the
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1 year ago
A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame
snow_tiger [21]

Let us assume uniform width = x cm wide.

Length of rectangular portrait = 50cm and width of rectangular portrait = 70cm.

Therefore,  length of rectangle made by frame = 50 + x+x = (2x+50) cm.

And width of rectangle made by frame = 70+x+x = (2x+70) cm.

We know, the area of rectangular portrait = 50 × 70 = 3500 cm^2.

Total area of the rectangle made by frame would be =  (2x+50) * (2x+70)

We know,

Actual area of frame = Area of rectangle made by frame -  area of rectangular portrait.

We also given "the area of the frame is the same as the area of the portrait."

We can setup an equation now,

 3500 = (2x+50) * (2x+70) - 3500.

Subtracting 3500 from both sides, we get

3500-3500 = (2x+50) * (2x+70) - 3500-3500.

0 = (2x+50) * (2x+70) -7000.

FOIL (2x+50) * (2x+70), we get

0 = 2x*2x +2x*70 + 50*2x +50*70 - 7000.

0 = 4x^2 +140x +100x +3500 -7000.

4x^2 +240x -3500 = 0.

Dividing whole equation by 4, we get

x^2 +60x - 875 =0

Applying quadratic formula =\frac{-b\pm \sqrt{b^2-4ac}}{2a}, we get

=\frac{-60\pm \sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}

x=\frac{-60+\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}=5\left(\sqrt{71}-6\right)

x=\frac{-60-\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}:\quad -5\left(6+\sqrt{71}\right)

We cant take negative value.

So, x=5\left(\sqrt{71}-6\right)=12.13

We could take approximately 12 cm.



7 0
2 years ago
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A veterinarian needs to know an animal's weight in kilograms.If 20 pounds is about 9 kilograms and dog weighs 30 pounds,use a ra
Lesechka [4]

Answer:

Using the ratio table the dogs weight is:

30 pounds = 13.5 kilograms

Step-by-step explanation:

For this case we have the following conversion:

20 pounds = 9 kilograms

To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

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So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

Pounds 10 20 30

7 0
1 year ago
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