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Evgesh-ka [11]
3 years ago
10

Find y in the line through (4,y) and (7,2) has a slope of 6

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0

Answer:

The value of y is -16.

Step-by-step explanation:

To find the missing coordinate, we can use the slope equation and plug in all known values.

m(slope) = (y2 - y1)/(x2 - x1)

6 = (y - 2)/(4 - 7)

6 = (y - 2)/-3

Now we can solve using cross multiplication.

y - 2 = -3*6

y - 2 = -18

y = -16

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Granola costs $6.50 per pound. Assorted nuts cost $9 per pound. How many pounds of granola and nuts are needed to make 9 pounds
bezimeni [28]

Answer:

  • 3.6 pounds of granola and 5.4 pounds of nuts

Step-by-step explanation:

Let the required granola be x pounds, then amount of nuts is 9 - x.

<u>The price of the mixture is as below equation:</u>

  • 6.5x + 9(9 - x) = 8*9
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7 0
2 years ago
Calculate how much each size per gram, and circle which gives the best value for money. 250g for $2.30, 400g for &amp;3.40, 1Kg
Bezzdna [24]
To do this, we must set up ratios:
Option One:
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Option Two:
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The second option costs only $0.0085/gram (cheaper than option one)!
Option Three: 
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The third option costs $0.00565/gram.

Therefore, option three is the cheapest! 

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Step-by-step explanation:

8 0
3 years ago
a recipe calls for a total of 3 2/3 cups of flour and sugar. it the recipe calls for 1/4 cup of sugar, how much flour is needed?
zavuch27 [327]

Answer:

This is very detailed as I wish to make some principles about fractions clear.

3

5

12

Explanation:

This question boils down to  

3

2

3

−

1

4

A fractions structure is that of:

count

size indicator of what you are counting

→

numerator

denominator

You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider  

3

2

3

Write as  

3

+

2

3

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value

[

3

×

1

]

+

2

3

[

3

×

3

3

]

+

2

3

 

9

3

   

+

2

3

 

=

 

11

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all together

3

2

3

−

1

4

 

→

 

11

3

−

1

4

But the size indicators are not the same. I chose to make them become 12

11

3

−

1

4

 

→

 

[

11

3

×

1

]

−

[

1

4

×

1

]

               

→

 

[

11

3

×

4

4

]

−

[

1

4

×

3

3

]

               

→

     

44

12

     

−

 

3

12

Now we may subtract the counts

               

→

 

44

−

3

12

 

=

 

41

12

But this is the same as  

12

12

+

12

12

+

12

12

+

5

12

                         

=

 

1

2

+

2

1

2

+

2

1

2

+

5

12

 

=

 

3

5

12


Step-by-step explanation:


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3 years ago
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