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DENIUS [597]
3 years ago
7

Kate gave 5/6 of her CD's to Sue. Sue gave 7/8 of these to Joan. Joan gave 3/5 of these to Ann. If Ann recieved 70 CDs, how many

did Kate have originally?
Mathematics
1 answer:
dangina [55]3 years ago
7 0
70=3/5
times 5/3
350/3
this is 7/8
350/3=7/8
times 8/7 both sides
400/3

that is 5/6
400/3=5/6 of total
times 6/5 both sides
800/5=160

kate had 160 originally

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What is the solution to this equation?
Lemur [1.5K]

Step-by-step explanation:

What is the solution to this equation?

(1/4)^x+1 =32

A.) -2

B.)7/-2

C.)2

D.) 3/2

7 0
2 years ago
Suppose the expected returns on equity of two firms, Macrosoft and Microsoft, that operate in the same business are 10.50% and 1
Komok [63]

Answer:

The return on assets in this business for Macrosoft is

ROA = 10.50%

Step-by-step explanation:

Return on Equity:

ROE represents how much a firm is generating profits by using the shareholder's money.

ROE is calculated as

$ {ROE = \frac{Annual \:\: net\: \: income}{Average \:\: shareholder's \:\: equity} $​  ​

Return on Assets:

ROA represents how much a firm is generating profits for every dollar of its assets.

ROA is calculated as

$ {ROA = \frac{Annual \:\: net\: \: income}{Total \:\: assests} $​  ​ ​

What is the return on assets in this business if Macrosoft has no debt?

Debt plays an important role in the calculations of return on assets.

We know that

Assets = Liabilities + Equity

Since the Macrosoft has no debt, its return on assets will be same as return on equity.

Assets = Equity

ROA = ROE

ROA = 10.50%

5 0
3 years ago
Which ones are the distance formula and midpoint formula?
lutik1710 [3]

Answer:

The distance formula is d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)2}

The midpoint formula is \left(\frac{x_1\:+x_2}{2}\right),\left(\frac{y_1-y_2}{2}\right)

Step-by-step explanation:

apply the pythagorean theorem on a coordinate grid

7 0
3 years ago
The lenght of a rectangle is 4 cm less than three times the width. the perimeter is 64 cm
dybincka [34]
Let the width be x cm.
Then length=3x-4 cm.
Its perimeter is 64 cm.
We know that perimeter of a rectangle= 2(length+width)
So,
2(3x-4+x)=64
6x-8+2x=64
6x+2x=64+8
8x=72
x=9
Therefore,
length=(3×9-4)cm=(27-4)cm=23 cm.
Width=9 cm.
5 0
2 years ago
Read 2 more answers
The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $7 and the ad
stiks02 [169]

Answer:

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

Step-by-step explanation:

hope this helps

5 0
2 years ago
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