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Rina8888 [55]
2 years ago
14

Tim (the tallest) is older than Michael (the lightest). Jason (the oldest) is shorter than Nick (the heaviest). No one has the s

ame rank in any category. For example, if someone is the second tallest, he can't be the second heaviest or the second oldest. Rank the four boys in each category: age, height, and weight.​
Mathematics
1 answer:
gayaneshka [121]2 years ago
7 0

9514 1404 393

Answer:

  • Age (decreasing): Jason, Tim, Michael, Nick
  • Height: (decreasing): Tim, Michael, Nick, Jason
  • Weight: (decreasing): Nick, Jason, Tim, Michael

Step-by-step explanation:

The given tallest, oldest, lightest, and heaviest are easy to fill in.

Michael is already 4th in weight, so cannot be 1st or 4th in age. If Tim is older, then the age rank must be Jason, Tim, Michael, Nick.

Michael cannot be 1st, 3rd, or 4th in height, so must be second. If Jason is shorter than Nick, then the 3rd and 4th in height must be Nick and Jason.

The only remaining possibilities for weight are that Tim is 3rd (cannot be 2nd), so Jason is 2nd.

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Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
What is a prime number.?
Naddika [18.5K]

Answer:

prime numbers are the natural numbers greater than one that are not products of two smaller natural numbers

Step-by-step explanation:

7 0
3 years ago
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How many 34s are in 2?
sergejj [24]

Answer:

17

Step-by-step explanation:

34/2=17

6 0
2 years ago
Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14
sertanlavr [38]

The solution is x = 2 \text{ and } y = \frac{1}{2}

<em><u>Solution:</u></em>

Let us assume,

a = \frac{1}{x}\\\\b = \frac{1}{y}

<em><u>Given system of equations are:</u></em>

\frac{2}{x} - \frac{3}{y} = -5

\frac{4}{x} + \frac{6}{y} = 14

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

a = \frac{4}{8}\\\\a = \frac{1}{2}

Substitute a = 1/2 in eqn 1

2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2

Substitute b = 2 in assumed value

b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}

Thus the solution is x = 2 \text{ and } y = \frac{1}{2}

3 0
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GarryVolchara [31]

Answer:

-5x + 56

Step-by-step explanation:

Use distributive property to refine.

20 - 2x + 36 - 3x

Combine Like Terms

-5x + 56

3 0
2 years ago
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