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3 years ago

A rectangle is twice as long as it is wide. Its perimeter is 30. What is its area?

Mathematics

1 answer:

Zarrin [17]3 years ago

5 0

Answer:

It's area is 50.

Step-by-step explanation:

We can figure out that the length is 10 and the width is 5 since the rectangle is twice as long as it is wide. Then multiply L x W and the result is 50.

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A traveler traveled for 6 hours and covered a distance of 520 km. He traveled the first 260 km by car, and the rest of the way b

Shkiper50 [21]

Answer:

57.78 km/hr

Step-by-step explanation:

Total time taken, t = 6 hours

Total distance covered, d = 520 km

Distance by car = 260

Distance by train = 520 - 260 = 260 km

Train speed = x

Car speed = 2x

Average speed speed = 3x /2

Speed = distance / time

1.5x = 520 / 6

9x = 520

x = 520 / 9

x = 57.777

Average speed of train = 57.78 km/hr

7 0

3 years ago

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A

Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

$v=x^{2} y$

Using the restriction stated in the problem to get another equation you can substitute in the one above:

$4x+y=84\\\\$

Substituting <em>y</em> whit this equation gives:

$v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}$

Now find the limit of <em>x</em>:

$\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14$

Find the length:

$y=84-4(14)=28$

You can now calculate the maximum volume:

$v=(14)^{2}(28)= 5488$

6 0

3 years ago

Arc measure with equations

Alona [7]

Answer:131

Step-by-step explanation:

7 0

3 years ago

Help Please I need to be in school in 30 minutes and its due today.

MA_775_DIABLO [31]

Answer: C: 2/5

Step-by-step explanation:

because there is 10 tiles total in two bags with 5 tiles each

each bag has two vowels

so part over whole means 2/5

8 0

2 years ago

Can someone help me its urgent:( ??

wariber [46]

Answer:

see the procedure

Step-by-step explanation:

Identify

Let

x ---> the cost of the Xbox one at Walmart

Strategy

we know that

The cost of the Xbox one at Walmart multiplied by 2 plus $50 must be equal to $450

Set up

The algebraic expression that represent this situation is

$450=2x+50$

Solve

solve for x

$450=2x+50$

$2x=450-50\\2x=400\\x=\$200$

Check

substitute the value of x in the equation

$450=2(200)+50$

$450=450$ ----> is ok

6 0

3 years ago