Veronica's mom left 3/4 of a cake on the table. Her brothers ate 1/2 of it. What fraction of the cake did they eat?

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Answer: 3/8

Step-by-step explanation: Multiply 3/4 and 1/2, or $\frac{3}{4} *\frac{1}{2} \\$ , which equals 3/8

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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore (2, 5) is on this line.

Verifying if (2, 5) is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 = 1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

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3 years ago

Which size container of cold farm ice cream is the better deal for Sheldon? Explain.

Art [367]

<u>Cold Farms: </u>

<u>Small box </u>

1 pint = $2.50

1 quart = $4.50

<u>Large Box</u>

1 quart = 2 pints .

2 pints = $4.50

1 pint = $4.50 / 2 = $2.25

<u>Cone Dreams:</u>

<u>Small box </u>

1 quart = $4.25 and

1 pint = $4.25/2 = $ 2.125

<u>Large Box</u>

1 gallon = $9.50.

1 gallon = 8 pints

8 pints = $9.50.

1 pint = $9.50 / 8 = $ 1.1875.

<h3>15) Therefore, large size container of Cold Farms ice cream is better deal for Sheldon because it cost $2.25 per pint of ice cream as compared to small box cost $2.50 per pint.</h3><h3 /><h3>16) Cone Dreams Large size container cost just $ 1.1875 per pint of ice cream. So, Cone Dreams Large size container is best deal.</h3>

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3 years ago

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Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.

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