Mathematics Middle School



A reindeer runs
20 1/4 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
-must haves...
right answer.
makes sense.
step by step.
^can you guys please help me make sure I got my answer right, thank youu;)
(choices of the answers: 3 1/4; 6 3/4; 12 1/4; 60 3/4)

Answers

Answer 1

Answer:

6 3/4 miles

Step-by-step explanation:

We can use ratios to solve

20.25 miles         x miles

------------------ = ------------

3 hours              1 hours

Using cross products

20.25 * 1 = 3x

Divide each side by 3

20.25 /3 = x

6.75 = x

Changing to a fraction

6 3/4

Related Questions

If the sum of the measure of two angles in a triangle is 101, then the measure
of the third angle must be

Answers

Answer:

79 degrees.

Step-by-step explanation:

It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.

There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.

All you have to do is 180 - 101, which equals 79 degrees.

Hope this helped : )

The third angle is 79
180-101=79

PLEASE HELP!!!!!

Parking for 4 hours costs $10. Parking for 5 hours costs $12. Is this a proportional relationship, and if so, what is the constant of proportionality?

Answers

Answer:

Not a Proportional Relationship ; No Constant of Proportionality

Step-by-step explanation:

Consider the first example, 4 hours of parking costs $ 10. From this we can derive the ratio 4 : 10, so that hours parked : fee for parking is a common ratio among the two examples, the other being 5 : 12;

[tex]4 : 10, Simplify\\2 : 5, Take As Fraction,\\Solution; 2 / 5ths\\[/tex]

[tex]5 : 12, Simplify\\( Can't Be Simplified Further ) - Take as Fraction,\\Solution; 5 / 12ths[/tex]

Considering that the fractions when compared are not similar, ( 2 / 5, and 5 / 12 ) they don't have a proportional relationship, and thus have no constant of proportionality

Solution; Not a Proportional Relationship

What is the value of x in the diagram?

Answers

Answer:

5

Step-by-step explanation:

Given is a right angled triangle.

Therefore, by Pythagoras theorem:

[tex] {(2x + 3)}^{2} = {x}^{2} + {(2x + 2)}^{2} \\ 4 {x}^{2} + 9 + 12x = {x}^{2} + 4 {x}^{2} + 4 + 8x \\ 9 + 12x = {x}^{2} + 4 + 8x \\ {x}^{2} + 4 + 8x - 12x - 9 = 0 \\ {x}^{2} - 4x - 5 = 0 \\ ({x}^{2} - 4x + 4 )- 4 - 5 = 0 \\ {(x - 2)}^{2} - 9 = 0 \\ {( x - 2)}^{2} = 9 \\ x - 2 = \pm \: \sqrt{9} \\ x - 2 = \pm 3 \\ x = 2 \pm 3 \\ x = 2 + 3 \: \: or \: \: x = 2 - 3 \\ x = 5 \: \: or \: \: x = - 1 \\ \because \: x \: can \: not \: be \: negative \\ \therefore \: x \neq \: - 1 \\ \therefore \: x = 5[/tex]

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