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4 years ago

What is the unit rate, expressed in kilometers per minute?

Mathematics

2 answers:

nikklg [1K]4 years ago

6 0

The correct answer is D

Katarina [22]4 years ago

4 0

The answer is: [B]: 0.40 km/min .
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Explanation:
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From the graph attached, which is "linear", we have 75 minutes (x-axis);
corresponding to 30 km (y-axis);
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We notice that all the answer choices are given in units of:
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→ "km/min" ; that is, "kilometers per minute" ;
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→ So, 30 km / 75 min = (30/75) km/ min = ? km / min ;
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→ (30/75) = (30÷15) / (75÷15) = ⅖ km/min ; or 0.4 km/min ;
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→ or; use calculator: (30/75) = (30÷75) = 0.4 km/min ;
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→ which corresponds to:
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→ Answer choice: [B]: 0.40 km/min .
__________________________________________________________

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For a certain candy, 20% of the pieces are yellow, 15% are red, 20% are blue, 20% are green, and the rest are brown. a

OLEGan [10]

Answer:

Step-by-step explanation:

Based on the question we are given the percentages of each of the types of candies in the bag except for brown. Since the sum of all the percentages equals 75% and brown is the remaining percent then we can calculate that brown is (100-75 = 25%) 25% of the bag. Now we can show the probabilities of getting a certain type of candy by placing the percentages over the total percentage (100%).

Brown: $\frac{25}{100}$
Yellow or Blue: $\frac{20}{100} +\frac{20}{100} = \frac{40}{100}$ ....add the numerators

Not Green: $\frac{80}{100}$ .... since the sum of all the rest is 80%

Stiped: $\frac{25}{100}$ .... there are 0 striped candies.

Assuming the ratios/percentages of the candies stay the same having an infinite amount of candy will not affect the probabilities. That being said in order to calculate consecutive probability of getting 3 of a certain type in a row we have to multiply the probabilities together. This is calculated by multiplying the numerators with numerators and denominators with denominators.

3 Browns: $\frac{25*25*25}{100*100*100} = \frac{15,625}{1,000,000} = \frac{1.5625}{100}$

the 1st and 3rd are red while the middle is any. We multiply 15% * (total of all minus red which is 85%) * 15% like so.

$\frac{15*85*15}{100*100*100} = \frac{19,125}{1,000,000} = \frac{1.9125}{100}$

None are Yellow: multiply the percent of all minus yellow three times.

$\frac{80*80*80}{100*100*100} = \frac{512,000}{1,000,000} = \frac{51.2}{100}$

At least 1 green: multiply the percent of green by 100% twice, since the other two can by any

$\frac{20*100*100}{100*100*100} = \frac{200,000}{1,000,000} = \frac{20}{100}$

4 0

3 years ago

HELP ME PLEASE!!! A Kite flying in the air has a 12 feet line attached to it. It's line is pulled and cast an 11 feet shadow. Fi

ZanzabumX [31]

Step-by-step explanation:

By Pythagoras' theorem,

12^2 = 11^2 + height^2

height = ±√12^2 - 11^2 (rej -ve value since height > 0)

height = 16.279 (5sf) = 16.3 (nearest tenth place)

Topic: Pythagoras theorem

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

5 0

3 years ago

PLEASE HELP!!!!!!!!! I NEED IT

Andreyy89

Answer:

32.5 feet

Step-by-step explanation:

This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).

With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.

tan 18 = $\frac{x}{100}$