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nadya68 [22]
2 years ago
10

At a hockey game, a vendor sold a combined total of 148 sodas and hot dogs. The number of sodas sold was three times the number

of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Mathematics
2 answers:
tatyana61 [14]2 years ago
5 0
111 sodas
37 hotdogs
148 = 3x (sodas) + x (hotdogs)
AleksandrR [38]2 years ago
3 0

Answer:

37 hot dogs and 111 sodas

Step-by-step explanation:

148 divided by 4= 37

148 - 37= 111

if the number of sodas was three times it would have to be broken up into three groups making the hot dogs 37 and sodas three times the amout would be 111. hope this helped sorry for any spelling mistakes

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3 years ago
Can someone please answer this math problem and show your working
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6 0
3 years ago
Which points on the curve of x^2 - xy - y^2 = 5 have vertical tangent lines?
algol [13]

We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points.  That will be the slope of the tangent to the curve.  Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.

 

It's not written as a function, but it can still be differentiated using the chain rule:

 

x2 + xy + y2 = 3

(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0

 

(I used parentheses to show the differentiation of each term in the original equation.)

 

2x + x dy/dx + y + 2y dy/dx = 0

2x + y = -x dy/dx - 2y dy/dx

2x + y = dy/dx (-x -2y)

-(2x + y)/(x + 2y) = dy/dx

 

We have the derivative of y, but it's defined partly in terms of y itself.  That's OK.  Let's go on...

 

So where would the slope be infinite?  That would happen when x + 2y = 0, or y = -x/2

 

Let's plug that in for y in the original equation to find points where that's the case.

 

x2 + xy + y2 = 3

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x2 - x2/2 + x2/4 = 3

3x2 / 4 = 3

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So we have two x values where the tangent might be vertical.  Let's plug them into the equation and see what the y values are.  First x = 2...

 

x2 + xy + y2 = 3

4 + 2y + y2 = 3

y2 + 2y + 1 = 0

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y = -1

 

So at the point (2, -1) the tangent is vertical.

 

Now try x = -2...

 

x2 + xy + y2 = 3

4 - 2y + y2 = 3

y2 - 2y + 1 =0

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So at the point (-2, 1) the tangent is vertical.

8 0
2 years ago
Which situation best shows causation?
dangina [55]

A cause and effect relationship exist between two variables, when one

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The situation which best shows causation is option <u>B) The amount of time a </u>

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Reasons:

Causation is the condition in which the occurrence of an event is caused by

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identified as the cause is responsible for the event, while the the

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Therefore;

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The option is correct because, a cell phone is powered by battery, and

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Learn more here:

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3 0
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Please help md on number 4
Agata [3.3K]
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Add: 364
3 0
3 years ago
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