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MakcuM [25]
3 years ago
10

Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. Each apple cost $1.25 and eac

h banana costs $0.40. She bought a total of 15 apples and bananas altogether. Determine the number of apples and the number of bananas that Nora bought.
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer: apples = 7 and bananas = 8

Step-by-step explanation:

Let x represent the number  of apples and y represent the number of banana,

and it was said that the total apples and bananas altogether is 15 , that is

x + y = 15 ................. equation 1

Also,

1.25x + 0.40y = 11.95 ............. equation 2

Solving the two equations simultaneously ,

From the first equation, x = 15 - y ........... equation 3

substitute equation 3 into equation 2, we have

1.25(15 - y) + 0.40y = 11.95

18.75 - 1.25y + 0.40y = 11.95

18.75 - 0.85y = 11.95

18.75 - 11.95 = 0.85y

6.8 = 0.85y

therefore y = 6.8/0.85

= 8

substitute y = 8 , into equation 3

x = 15 - 8

x = 7

Therefore , she bought 7 apples and 8 banana

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vesna_86 [32]

Answer:

1. (\sqrt[5]{(m+2)})^{3} =  (m+2)^{\frac{3}{5}}

2. (\sqrt[3]{(m+2)})^{5} =  (m+2)^{\frac{5}{3}}

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Step-by-step explanation:

Recall that

(\sqrt[n]{x})^{m} =  (x^{\frac{m}{n}})

Where x^{m} is called radicand and n is called index

1. Root(5, (m + 2) ^ 3)

In this case,

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2. Root(3, (m + 2) ^ 5)

In this case,

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4. Root(3, m ^ 5) + 2

In this case,

n is 3

m is 5

x = m

\sqrt[3]{(m)}^{5}+2 =  m^{\frac{5}{3}}+2

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