Answer:
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
Step-by-step explanation:
<u><em>Given:</em></u>
<em>At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold</em>
<u><em>To Find:</em></u>
<em>Number of soda/hot dog sold</em>
<u><em>Solve:</em></u>
<em>h + ( 39 + h ) = 105</em>
<em>h + 39 + h = 105</em>
<em>2h + 39 = 105</em>
<em>h + 19.5 = 52.5</em>
<em>h = 52.5 - 19.5 </em>
<em>This as a system does not use any inequality. "39 more than" means, +39.</em>
<em>h = 33 meaning d= 72</em>
<em />
<em>Add to check Answer:</em>
<em>33 + 72 = 105</em>
<em>Thus,</em>
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
<em />
<u><em>Kavinsky </em></u>
<u>The overall </u><u>algebraic expression</u><u> will be: </u>
<u />
Definition of algebraic expression -
An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
Five times the sum of a number and eleven, divided by three times the sum of the number and eight.
Let the number be x.
Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)
Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)
So, the overall <u>algebraic</u> expression will be: 
Learn more about algebraic expression
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<u></u>
<span>b/a=c/d
Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement.
b/aâ‹…c/d=â’1
* This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer.
b/a=c/d
* b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two.
b/a=d/c
* b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer.
b/aâ‹…d/c=â’1
* And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.</span>
y = ( 3 * x ) - 2.
This is because the card costs for 3 $ and should be multiplied by the number of total cards she buys in that particular day. So 3 * x.
Now as she has got a 2$ off coupon, whatever the total is she gets 2 dollars off on that price. So we will subtract 2 at that time. FInally all this summed up would be equal to y.
(5)(5)(5)(5)(5)(5)(5)(5)(5)(5)(5)
5^11
That is two of the three but I'm not quite sure if there is a third.