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belka [17]
3 years ago
15

For every 9 minutes of music Shawn listens to, Greg listens to 4 minutes of music. How many times more minutes of music does Sha

wn listen to than Greg?

Mathematics
2 answers:
Vaselesa [24]3 years ago
7 0
Hello.

The mathematical concept of this problem is basic once you get down to it. The question asks, "How many times more minutes does Shawn listen to than Greg?"

Remember the "How many" rules:
· "How many more" suggests subtraction
· "How many times" suggests division

Let's also take a look at our opening sentence: "For every 9 minutes of music Shawn listens to, Greg listens to 4 minutes of music." This means we can set it up as a fraction, as we have the phrase "For every" in our sentence. So, let's do that.

\frac{9}{4} is our fraction;
To simplify, we need to divide our numerator (the number on the top) by our denominator (the number on the bottom).
9 / 4 = 2.5

This is our rate, or how many times more music Shawn listens to than Greg.

Your answer is: "Shawn listens to 2.5 times more music than Greg."

I hope this helps!
svetlana [45]3 years ago
3 0
9/4=2.5
So Shawn listens to 2.5 times more music than Greg
Hope I helped
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xenn [34]

Answer:

3) Reflexive Property

4) SAS

Step-by-step explanation:

<h2>ST ≅ TS</h2>

1. The Reflexive Property states that: a quantity is congruent (equal) to itself.

  • Example: a = a  
  • In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>

1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.

  • Example: RST ≅ UTS (both have S and T)
  • Can be seen as RST ≅ UST as well to make their similarity more evident.

2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).

4 0
3 years ago
If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?​
madreJ [45]

<u><em>Answer:</em></u>

Her hourly rate is $8.25

<u><em>Explanation:</em></u>

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

<u>We know that:</u>

There are 5 school days in a week

<u>We are given that:</u>

She works for 3 hours a day each of those days

<u>Therefore:</u>

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

<u>The equation used to calculate Tatianna's earnings is:</u>

Amount she makes in a week = Total number of hours worked * hourly rate

<u>Now, we substitute with the givens to get the hourly rate as follows:</u>

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

6 0
3 years ago
What is the area of the right triangle shown?
prisoha [69]
The 30:60:90 proportion is 1:sqrt 3: 2

So,

x = 10/2
x = 5

y = 10/sqrt 3

Finding the area:

1/2 * 5 * 10/sqrt 3
25/sqrt 3

Hope this helps!
3 0
3 years ago
If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)
sweet-ann [11.9K]

Answer:

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9

Step-by-step explanation:

Given

tan\theta = 3

Required

Find

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)

Calculate tan(\theta + \pi) \ and\ tan(\theta+2\pi)

Using tan rule

tan(\theta + \pi)  = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}

So:

tan(\theta + \pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

tan(\theta + \pi)  = \frac{tan\theta}{1 }

tan(\theta + \pi)  = \tan\theta

tan(\theta+2\pi)

tan(\theta + 2\pi)  = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}

tan(\theta + 2\pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

tan(\theta + 2\pi)  = \tan\theta'

'So:

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = tan\theta +tan\theta +tan\theta

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9

4 0
3 years ago
The volume of a cylinder is 4,019.2 cubic units. If the radius is 8 units, how tall is the cylinder?
AVprozaik [17]
We will be using the formula in looking for the volume of the cylinder which is

V = πr²h

where:

r = radius
h = height
V = volume

but in the problem V and r have values already:
r = 8
V = 4019.2

plug this in the volume equation:

V = πr²h
= 4019.2 = π* 8² * h
= 4019.2 = 64πh
= 4019.2 / 64π = h

so the answer is: h = 4019.2 /201.06193
= 19.99 is the height of the cylinder.


8 0
3 years ago
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