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White raven [17]
2 years ago
15

Which ordered pair is a solution to the equation?

Mathematics
1 answer:
Ivenika [448]2 years ago
3 0

Answer:

D

Step-by-step explanation:

none of the option satisfy the equation

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Ten pounds of rice are distributed equally into 6 bags to give out at the food bank. How many pounds are in each bag?
Anton [14]
10 / 6 = 5/3 = 1 2/3 lbs in each bag
5 0
3 years ago
Read 2 more answers
HELP ASAP <br> What is the slope of the line on the graph?
ollegr [7]
The slope of this line is -1/6.  

2 Point:     (6,2)         (-6,6)
                   x₁ y₁         x₂ y₂
       

Remember: 
  
    rise          change in y          y₂ - y₁          6 - 2            4
 ---------- =  ------------------- = ------------- = ----------- = ----------
    run            change in x         x₂ - x₁         -6 - 6          -12


Simplify 4/-12

     4 ÷ 4             1
  -------      = ------------- = -1/3
   -12 ÷ 4          -3

The slope of the line is -1/3.






3 0
3 years ago
The square of a number is 12 less than 7 times the number. What is the number?
hjlf

<u><em>Answer:</em></u>

The number is either 3 or 4


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x


<u>We are given that:</u>

square of the number (x²) is 12 less than 7 times the number (7x)


<u>Translating this into an equation, we would have:</u>

x² = 7x - 12


<u>Rearranging the quadratic equation:</u>

x² - 7x + 12 = 0


<u>Now, we factor the equation:</u>

(x-4)(x-3) = 0


<u>This means that:</u>

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3


<u>Let's check if any of the solutions is an extrovert:</u>

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert


Since we have no restrictions on the number, therefore, both solutions would be accepted


Hope this helps :)


7 0
3 years ago
A bicycle has a circumference of approximately 81.68 inches
Blizzard [7]

Answer:

25

Step-by-step explanation:

Don't ask

8 0
3 years ago
A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The
brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

  • Restaurants: We have boxes with 9 salmon each, so it will be \frac{2}{\sqrt{9}} = \frac{2}{3}
  • Grocery stores: Each carton has 49 salmon, thus the standard deviation is \frac{2}{\sqrt{49}} = \frac{2}{7}
  • Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is \frac{2}{\sqrt{64}} = \frac{1}{4}

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0
2 years ago
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