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Serhud [2]
3 years ago
14

Grace has to remember a total of 108 measures of

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

9514 1404 393

Answer:

  52 measures

Step-by-step explanation:

Let s represent the length of the second song. Then the first song's length is 108 -s, and the difference in length is ...

  (108 -s) -(s) = 4

  108 -2s = 4 . . . .collect terms

  54 -s = 2 . . . . divide by 2

  52 = s . . . . . add s-2

Grace's second song is 52 measures long.

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Write the linear inequality shown in the graph.
Korolek [52]
Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format. 
Y=mx+b
y\geq 3x-4. <-----In this equation, the slope(m)=3 b= -4. 

On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.


The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.  
For example, I'll choose to plug in (-4,4) into the y\geq 3x-4. 
y\geq 3x-4. 
(4)\geq (3(-4))-4. 
(4)\geq (-12)-4. 
(4)\geq -16

So, this statement is true becasue -16 is less than positive 4.  Therefore, the correct answer would be y\geq 3x-4. Hope that helped! Comment back with any further questions!


6 0
3 years ago
The mean of 4 numbers is 21. calculate the sum of the 4 numbers
Ugo [173]

Answer:

84

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count} , then

\frac{sum}{4} = 21 ( multiply both sides by 4 )

sum = 84

8 0
3 years ago
I really need help with this, please help me.
vazorg [7]

Answer:

See below.

Step-by-step explanation:

1. h

2. g

3. a

4. f

5. c

6. b

7. e

8. (17 * 5) * 2 = 17 * (5 * 2) = 17 * 10 = 170

9. 700 + 137 + 300 = 700 + 300 + 137 = 1137

10. $0.25 + $2.69 + $4.75 = $0.25 + $4.75 + $2.69 = $7.69

11. -8 + 57 + 18 = 18 - 8 + 57 = 10 + 57 = 67

12. 26 + 19 + 14 = 20 + 6 + 19 + 10 + 4 =

= 20 + 10 + 6 + 4 + 19

= 30 + 10 + 10

= 40 + 19

= 59

3 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
andre [41]

Answer:

7 feet

Step-by-step explanation:

Pythagorean theorem

sqrt(4.5^2 + 5.3^2) = hypotenuse

sqrt(48.34) = hypotenuse

6.95269732 = hypotenuse

round to nearest tenth

7 feet = the length of the hypotenuse

5 0
3 years ago
A basketball with a radius of 24.1 cm rolls 8.0m in 11 seconds. what is the angular frequency of the ball?
Dominik [7]
The formula for angular frequency is:

ω = velocity/radius

Since we are given distance(8.0m) and time(11 seconds) , we can also express the formula as:

ω = distance/(radius)(time)

Substituting the given values:

8.0m/(0.241m)(11s)

Which would give us the answer of 3.03 seconds.

Hope this answer helps.
8 0
3 years ago
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