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Lady_Fox [76]
3 years ago
14

Kelly's recipe calls for 13 ounces of chicken. Her scale only measures in grams. Which of the following shows the number of gram

s of chicken, with the correct significant digits, that Kelly needs to include in her recipe in order to have 13 ounces? (1 ounce = 28.3495 grams)
A) 368.5435
B) 367.9
C) 369
D) 370
Mathematics
2 answers:
jekas [21]3 years ago
6 0

Answer:

A

Step-by-step explanation:

13 x 28.3495

sattari [20]3 years ago
6 0

Answer:

A

Step-by-step explanation:

1 ounce is 28.3495 grams and Kelly's recipe call for 13 ounces of chicken, so

13 x 28.3495 = 368.5435

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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
sleet_krkn [62]

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers  ( h, i , j , m ), are there with  n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right]

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

4 0
3 years ago
What is the axis of symmetry of the function f(x)= -(x+9)(x-21)
Vinil7 [7]

Answer:

The axis of symmetry is x = 6

Step-by-step explanation:

To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.

x + 9 = 0

x = -9

x - 21 = 0

x = 21

Now take the average of these two numbers.

(-9 + 21)/2

12/2

6

6 0
3 years ago
Two joggers run 8 miles north and then 5 miles west. What is the shortest
Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles

The shortest distance to the starting point is 9.4 miles

4 0
2 years ago
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yanalaym [24]

Answer:

  • System is given below

Step-by-step explanation:

  • Let (applicable to all three lines below)
  • Hard candy = x kg with price $1.60/kg
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<u>Required equations:</u>

  • x + y = 50                        total weight
  • 1.60x + 2.20y = 50*1.75      total price

=========================================

<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>

<u>Simplify the second equation and solve by substitution x = 50 - y:</u>

  • 1.6(50 - y) + 2.2y = 87.5
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  • y = 7.5/0.6
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<u>Find the value of x:</u>

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<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg

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Answer:

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Step-by-step explanation:

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