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4 years ago

Mrs. Meyer buys fruit to make a fruit salad. She buys:

Mathematics

1 answer:

Firlakuza [10]4 years ago

7 0

Answer:

C. 15 1/4 pounds

Step-by-step explanation:

Since our options are in pounds, we would need to convert all our weight to pounds.

Now, by standard conversion 1 pound = 16 Ounce

3 cartons of blueberries that weigh 12 ounces each

12 Ounce=0.75 Pound
3 X 0.75 =2.25 Pounds

3 cartons of strawberries that weigh 16 ounces each

16 Ounce =1 Pound
3 X 1 =3 Pounds

4 bunches of bananas that weigh 2.5 pounds

4 X 2.5 =10 Pounds

Total Weight (In Pounds)=2.25+3+10=15.25 Pounds

This is equivalent to 15 1/4 pounds.

The correct option is C.

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Is a/b +b/c rational number

Anarel [89]

Answer:

Yes.

Step-by-step explanation:

Yes.

Assuming a, b and c are integers (not = 0)

a/b + b/c

= (ac + b^2) / bc which is a rational number.

3 0

2 years ago

Write 230% in simplest form

Fed [463]

230% in the simplest form is 2.3

3 0

4 years ago

Read 2 more answers

Simplify This Radical Expression

balandron [24]

Answer:

The answer is: -0.5198

Step-by-step explanation:

CUBERT(8) – CUBERT(16) is the cube root of 8 - cube root of 16:

CubeRT(8) - CubeRT(16) =

2 - 2.5198 = -0.5198

Hope this helps! Have an Awesome day!! :-)

5 0

3 years ago

Does anyone know the answer to this?!

AURORKA [14]

Answer:

65 degrees

Step-by-step explanation:

85 + 30 = 115

180 - 115 = 65

Verify:

a + b + c = 180

85 + 30 + 65 = 180

180 = 180

4 0

3 years ago