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3 years ago

Alice has 1/5 as many miniature cars as Sylvester has. Sylvester has 35 miniature cars. How many miniature cars does Alice have?

1 answer:

6 0

<span>The answer is 7 cars. Let a be the number of Alice's cars, and s the number of Sylvester's cars. Alice has 1/5 as many miniature cars as Sylvester has: a = 1/5 * s. Sylvester has 35 miniature cars: s = 35. We know that a = 1/5 * s and s = 35. Thus, a = 1/5 * 35. a = 35/5. a = 7 cars. Alice has 7 cars.</span>

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An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.

andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

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3 years ago

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Law Incorporation [45]

Hey there Rosy! I did this recently and the answer is:

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7 0

3 years ago

this week luiz made 80% of what he made last week if he made $72 this week how much did he make last week?

kvv77 [185]

Answer: He made $90 last week.

Assumption :

Let, Luis made $X last week.

He made $72 this week which is 80% of $X that he made last week

⇒ X * 80% = 72

⇒ X * 80/100 = 72

⇒ X = (72 * 100)/80

⇒ X = 90

Therefore, he made $90 last week.

To remember :

While solving this type of problems, be careful to understand which one of last time and current time is not given; just assume that one and input other conditions, the problem will be solved.

8 0

2 years ago

There are 40 houses in a neighborhood • company X provides electricity to 1/5 of the houses • company Y provides electricity to

Katena32 [7]

Answer: 1/5 or 8 houses. Company X provides electricity to 8 houses, Company Y provides to 24 houses, so that would mean Company Z provides 8

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3 years ago

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I get paid $40 a month. If i want 5 less each month, how much should i get paid every week?

agasfer [191]

Answer:

$5 each week