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podryga [215]
3 years ago
7

a baseball team paid eight times as much to their ace pitcher as they paid to their shortstop. if they paid 81 million for the t

wo salaries, what did they pay each player?
Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0

x +y = 81 million

 let x be the short stop and y be the pitcher

 so pitcher (y) gets 2 times what the the shortstop (x) gets so y = 2x

 so x + 2x = 81 million

3x = 81

x = 27

 the short stop makes 27 million

 the pitcher makes 54 million

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Dots sells a total of 277 T-shirts ($2) and shorts ($3). In April, total sales were $656.
icang [17]

Answer:

Shorts = 112 and t shirts = 165

Step-by-step explanation:

Let S = shorts

Let T = t shirts

T + S = 277

$2T + $3S = $656

-2(T + S) = 277          so    -2T -2S = -544

2T + 3S = 656          so      2T + 3S = 656

                                         ------------------------

SO:  (subtract T's cancel out)   1S = 112

                                           divide by 1  so S = 112

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skelet666 [1.2K]

Answer:

The last listed functional expression:

\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x

Step-by-step explanation:

It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.

It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains x+1 for the function, for the domain: x\geq 2.

Such definition is the one given last (bottom right) in your answer options.

\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x

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