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polet [3.4K]
3 years ago
7

greg spent 3 hours practicing his guitar . he spent the same amount of time practicing each of 4 songs. how many minutes did gre

g spend practicing each song?
Mathematics
1 answer:
umka21 [38]3 years ago
6 0
He spent 45 minutes on each song
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Michelle had a birthday party. She bought a bag of candy with 96 Starbursts, 72 Hershey's, and 68 Reese's. She wants to use all
Artist 52 [7]

Answer:

4 goody bags.

Step-by-step explanation:

We have been given that Michelle bought a bag of candy with 96 Starbursts, 72 Hershey's, and 68 Reese's.

To find the largest number of goody bags with the same amount of Starbursts, Hershey's and Reese's in each bag, we need to find the greatest common factor of 96, 72 and 68.

Factors of 96 are: 1, 2, 3, 4, 24, 32, 48, 96.

Factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Factors of 68 are: 1, 2, 4, 17, 34, 68.

We can see that greatest common factor of 96, 72 and 68 is 4, therefore, the largest number of bags that Michelle can make with 96 Starbursts, 72 Hershey's, and 68 Reese's is 4 bags.

3 0
3 years ago
Leila and Jo are two of the partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $60 profit
Aloiza [94]
That means she makes $45 on the first item
6 0
3 years ago
Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m
aliina [53]

Answer:

\ln x(x^2 + 1)^\frac{1}{3} = \ln x + \dfrac{1}{3} \ln (x^2 + 1)

Step-by-step explanation:

We are given the following expression in the question

\ln x(x^2 + 1)^\frac{1}{3}

Logarithmic Properties:

\log (ab) = \log a + \log b\\\\\log \dfrac{a}{b} = \log a - \log b\\\\\log (a^b) = b\log a

We have to simplify the given expression

\ln x(x^2 + 1)^\frac{1}{3}\\=\ln x + \ln (x^2 + 1)^\frac{1}{3}\\\ln x + \dfrac{1}{3} \ln (x^2 + 1)

\ln x(x^2 + 1)^\frac{1}{3} = \ln x + \dfrac{1}{3} \ln (x^2 + 1)

6 0
3 years ago
Read 2 more answers
Need help!! I have no clue
slega [8]

Answer:

41 over 24

Step-by-step explanation:

7 2/3 can be "translated" into 3 times 7 plus 2 which is 22, so now it's 22 over 3.

5 5/8 can be "translated" into 8 times 5 plus five is forty five, so now it's 45 over 8.

We now need a common denominator.

Multiples of 8: 8, 16, 24, 32

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24

24 are both multiples of 8 and 3.

Now you have to multiply 22 and 8 because 3 times 8 equals 24 and so you have to do it to the numerator.

22*8=176

Now you have to multiply 45 and 3 since 8 times 3 equals 24 and so you have to do it to the numerator, too.

45*3=135

All you have to do now is subtract 176 from 135 which is 41

5 0
3 years ago
Find the distance between the origin and the point R = (9,7,8). The distance is: Ensure that you use at least 4 decimal place ac
gregori [183]

Answer:

The distance between the origin and the given point is 13.9283 units.  

Step-by-step explanation:

The coordinates of origin are (0,0,0)

We are given a point R(9,7,80

The distance formula:

\sqrt{(y_1 -x_1)^2 + (y_2 -x_2)^2 + (y_3 -x_3)^2}, where (x_1, x_2, x_3) are coordinates of one point and  (y_1, y_2, y_3) are coordinates of other point.

Putting the values as:

y_1 = 9, y_2 = 7, y_3 = 8\\x_1 =0, x_2 = 0, x_3 = 0

We get d = \sqrt{81 + 64 + 49}

d = \sqrt{194}

d = 13.9283

Thus, the distance between the origin and the given point is 13.9283 units.

8 0
3 years ago
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