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4 years ago

explain why multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction

1 answer:

8 0

Think: You're treating the numerator and the denom. in precisely the same way. In doing so you are NOT changing the value of the fraction, only the appearance.

Example: start with 2/3. Mult num. and den. both by 7: 14/21.

2/3 and 14/21 result in precisely the same decimal fraction, showing that the latter set of fractions is equivalent to the former set.

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A stereo system is being installed in a room with a rectangular floor measuring 19 feet by 12 feet and a 7-foot ceiling. The st

krek1111 [17]

Answer:

The shortest length of wire that can be used is 29.47 ft.

Step-by-step explanation:

To solve this problem we can follow the following steps:

1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.

$L = \sqrt{12^2 + 19^2}\\\\L= 22.47\ ft$

2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. <em>Observe the attached image</em>

3) The final distance (d) is:

$d = 22.47\ ft + 7\ ft\\\\d = 29.47\ ft$

6 0

3 years ago

Given that cosA = -8/17 and sinA is negative, determine the value of tanA.

borishaifa [10]

Answer:

tan A = -15/8.

Step-by-step explanation:

sin^2a = 1 - cos^2A

= 1 - (-8/17)^2

= 225/289

So sin A= 15/17

tan A = sin A / cos A

= 15/17 / -8/17

= 15/-8

= -15/8.

5 0

3 years ago

Mariana receives a $20 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded s

Andru [333]

...she can buy 15 songs.

3 0

3 years ago

Read 2 more answers

Carmine buys 2 plates for $4 each. He also buys 12 bowls. Each bowl costs twice as much as each plate. The store is having a sal

Tasya [4]

Answer

2p+12b=12

Step-by step explanation

I used p for plates and b for bowls\

2p+12b=4+(4*2)

2p+12b=12

4 0

3 years ago

Read 2 more answers

Corinna's cell phone bill was $52.75 in July.

rodikova [14]

Answer:

The answer is 21.10

Explanation:

If her bill in July was $52.75 and her bill in August was only 60% of July

60% of 52.75 is 31.65

and they asked how much more she paid:

52.75-31.65 = 21.10

hope this helps!

7 0

3 years ago