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3 years ago

Lane's arm span is 61 inches. If his height is 1⁄4 foot longer than his arm span, how tall is he? feet and inches

1 answer:

6 0

If lane's are span is 61 inches. his height is 1/4 foot long than his arm span. his height is 5 ft 3 inches

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There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

7 0

4 years ago

Which of the following represent the same ratio?

eduard

Answer:2/3 and 2:3
Explanation

5 0

3 years ago

Help with this PLease

vekshin1

Since it asks you to estimate, you would round the 4.6 up to 5. The estimate volume would be 125 inches^3; answer C.

4 0

3 years ago

Half of the students in Max's class volunteer at the local community center. Fifteen students do not volunteer. If there are 12

ella [17]

Answer:

Step-by-step explanation:

15 x 2 = 30

30 - 12 = 18

18 girls are in his class

5 0

3 years ago

Read 2 more answers

What is x/9 = 9/27 help plz

Irina18 [472]

<h3>QUESTION: </h3>

what is x/9 = 9/27 help plz

<h3>ANSWER AND SOLUTION: </h3>

SOLVING FOR X

Reduce first the fraction with 9

$\large \sf = \dfrac{x}{9} = \dfrac{ \cancel9}{ \cancel{27}}$

 $\large \sf = \dfrac{x}{9} = \dfrac{1}{3}$ 

Now simplify using cross-multiply

 $\large \sf = \dfrac{3x}{9} = 1$ 

 $\large \sf = 3x = 1 \times 9$ 

 $\large \sf = 3x = 9$ 

Lastly divide both sides

 $\large \sf = 3x \div 3 = 9 \div 3$ 

 $\large \sf = x = 9 \div 3$ 

 $\large \sf = x = 3$ 

<h3>FINAL ANSWER:</h3>

$\huge \orange{ \underline{ \boxed{ \sf{x = 3}}}}$

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

7 0

3 years ago