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3 years ago

I will give you branilest!

1 answer:

8 0

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.
Distance in kilometers taken by variable d.
Number of hours by t.
And situation is given d=50t.
We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.
In the given fuction y is taken by variable d and x is taken by variable t.
If we compare d=50t by y = mx, the value of k is 50.
Therefore, constant of proportionality is 50.
Constant is a number that never change it's value.
Therefore, constant of proportionality is just 50.
But we can say variables d and t are two variables those are directly proportional to each other.
Constant of proportionality is actually unit rate of change.
For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)
If we divide 400km 8 hours, we get 400/8 = 50 km per hour.
Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".
And the constants of proportionality is just 50.

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A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?

Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ $18\frac{1}{6}$ feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = $5\frac{1}{3}\ feet$

Width of the box = $3\frac{3}{4}\ feet$

Perimeter of a rectangle = $2(l+w)$

where $l$ represents length of rectangle and $w$ represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = $2(5\frac{1}{3}+3\frac{3}{4})\ feet$

Simplifying by adding fractions:

⇒ $2(5+3+\frac{1}{3}+\frac{3}{4})\ feet$ (Adding whole numbers and fractions separately)

⇒ $2(8+\frac{1}{3}+\frac{3}{4})$ feet

Whole number 8 can be written as $\frac{8}{1}$

⇒ $2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4})$ feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒ $2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3})$ feet

⇒ $2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12})$ feet

Then we simply add numerators.

⇒ $2(\frac{96+4+9}{12})$ feet

⇒ $2(\frac{109}{12})$ feet

⇒ $2\times \frac{109}{12}$ feet

⇒ $\frac{218}{12}$ feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ $18\frac{2}{12}$ feet

Simplifying fractions to simplest form.

⇒ $18\frac{1}{6}$ feet

Perimeter =⇒ $18\frac{1}{6}$ feet (Answer)

5 0

3 years ago

Can someone help me please

yanalaym [24]

Answer:

Step-by-step explanation:

Alice in wonderland is about a 19 year old girl who visited wonderland when she was a young girl but as she hit her teen years she forgot all about wonderland, but when a white rabbit ruins her engagement party she is forced to remember what she forgot.

7 0

2 years ago

Read 2 more answers

Mr. Carson wants to give three pencils to each of his students. There are 26 students in Mr. Carsons class. Boxes of pencils eac

Rasek [7]

Since there are 26 students in Mr. Carson's class, and each kid gets 3 pencils, that means we will multiply 26 and 3, in which we get 78. Now, since boxes of pencils only contain a dozen, which is 12 pencils, we will divide 78 by twelve, in which we get 6.5 boxes. You can't buy half a box, so he will need 7 boxes, since having 6 boxes means that you don't have enough pencils.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Please help!! The answer options are 12/35, 12/37, 37/12, 35/37 Which one is it??

Oxana [17]

Answer:

sin= opposite leg/hypotenuse

Sin(a)=12/37

Step-by-step explanation:

7 0

3 years ago

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