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Gnom [1K]
3 years ago
9

Sarah pours four ounces of coffee into an eight-ounce cup and four ounces of cream into a second cup of the same size. She then

transfers half the coffee from the first cup to the second and, after stirring thoroughly, transfers half the liquid in the second cup back to the first. What fraction of the liquid in the first cup is now cream?
Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

2/5

Step-by-step explanation:

4ounces of coffee in cup  1

4 ounces of cream in cup 2

In the first step  pour 4/2=2 ounces of coffee from cup 1 to cup 2, getting:

2 ounces of coffee in cup 1

2 ounces of coffee and 4 ounces of cream in cup 2

In the second step we pour 2/2=1 ounce of coffee and 4/2=2 ounces of cream from cup 2 to cup 1, getting:

2+1=3 ounces of coffee and 0+2=2ounces of cream in cup 1

so the answer is 2/5

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If a rectangle is 5 units wide and x units high what is its perimeter?
Dominik [7]

Answer:

  10 +2x

Step-by-step explanation:

Put the given values into the perimeter formula and simplify.

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  P = 2(5 + x)

  P = 10 +2x . . . . the perimeter of the rectangle in units

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3 years ago
What are the two shapes of cross-sections we could create by slicing the pyramid perpendicular to its base?
Pavlova-9 [17]

Answer:

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Step-by-step explanation:

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3 years ago
Find all solutions to cosx cos3 x-sinx sine3x= 0 on the interval {0,2pi}
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5 0
3 years ago
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some
velikii [3]

Answer:

Step-by-step explanation:

Frequency table for the height of the seedlings,

Height (in inches)        Number of seedlings

          \frac{1}{2}                                      2              

          \frac{3}{4}                                      4

          \frac{5}{8}                                      2

          \frac{7}{8}                                      2

Now we can draw the line plot as attached.

Average height of the seedlings = \frac{2(\frac{1}{2})+4(\frac{3}{4})+2(\frac{5}{8})+2(\frac{7}{8})}{2+4+2+2}

                                                      = \frac{1+3+1.25+1.75}{10}

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3 0
3 years ago
Solve the system.
Alex777 [14]

Answer:

{x,y,z} = {-18,4,2}

Step-by-step explanation:

Solve equation [2] for the variable  x  

x = -10y + 2z + 18

Plug this in for variable  x  in equation [1]

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Plug this in for variable  x  in equation [3]

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Solve equation [1] for the variable  y  

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Plug this in for variable  y  in equation [3]

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   - z = -2

Solve equation [3] for the variable  z  

 z = 2

By now we know this much :

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   y = 3z-2

   z = 2

Use the  z  value to solve for  y  

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Use the  y  and  z  values to solve for  x  

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3 years ago
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