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1 year ago

Question 2-20

Mathematics

1 answer:

xeze [42]1 year ago

3 0

Weight of one apple is 8 ounces.

We have to calculate the weight of one apple. For that firstly, we have to calculate the weight of one apple in pounds because we have been given the weight of 96 apples in pounds. After that, we will convert it into ounces and we know that one pound is equal to 16 ounces.

A bushel has 96 apples.

We have been given weight of 1 bushel which is 48 pounds.

Weight of 96 apples = 48 pounds

We have to calculate weight of one apple.

Weight of one apple = 48/96 = 1/2 pound

1 pound = 16 ounces.

Now, we have to convert pounds into ounces

Weight of one apple = 1/2 * 16 ounces

= 8 ounces

Hence, the answer is 8 ounces.

To find more about how to calculate weight.

brainly.com/question/23245710

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Step-by-step explanation:

2x² - 4x - 3 = 0

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3 years ago

Read 2 more answers

Rita is thinking of two numbers. Adding 4 times the first number and 9 times the second number gives a total of 1. Also, adding

charle [14.2K]

Answer:

first number is negative 2, second is 1

Step-by-step explanation:

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3 years ago

Use mathematical induction to show that 4^n ≡ 3n+1 (mod 9) for all n equal to or greater than 0

cestrela7 [59]

When $n=0$ , you have

$4^0=1\equiv3(0)+1=1\mod9$

Now assume this is true for $n=k$ , i.e.

$4^k\equiv3k+1\mod9$

and under this hypothesis show that it's also true for $n=k+1$ . You have

$4^k\equiv3k+1\mod9$
$4\equiv4\mod9$
$\implies 4\times4^k\equiv4(3k+1)\mod9$
$\implies 4^{k+1}\equiv12k+4\mod9$

In other words, there exists $M$ such that

$4^{k+1}=9M+12k+4$

Rewriting, you have

$4^{k+1}=9M+9k+3k+4$
$4^{k+1}=9(M+k)+3k+3+1$
$4^{k+1}=9(M+k)+3(k+1)+1$

and this is equivalent to $3(k+1)+1$ modulo 9, as desired.

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3 years ago