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dsp73
3 years ago
7

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza. Mary received a gift card of $11

0 for a different pizza restaurant. The restaurant charges $20 per pizza.
Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.
Amount of money left on Keith's card in dollars = __________
Amount of money left on Mary's card in dollars=____________
Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.
Mathematics
1 answer:
stepan [7]3 years ago
5 0

Answer:

a)Amount of money left on Keith's card in dollars = $90 - $15x

= $(90 - 15)

b) Amount of money left on Mary's card in dollars= $110 - $20x

= $(110 - 20x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$90 - 15x = $110 - 20x

Step-by-step explanation:

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Keith

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Keith's card after purchasing x pizzas =

$90 - $15x

For Mary,

Mary received a gift card of $110 for a different pizza restaurant. The restaurant charges $20 per pizza.

Hence, x number of pizzas cost =$20 × x

= $20x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$110 - $20x

Amount of money left on Keith's card in dollars = __________

Amount of money left on Mary's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$90 - 15x = $110 - 20x

Collect like terms

-15x + 20x = $110 - $90

5x = 20

x = 20/5

x = 4

Hence, anytime Keith and Mary buys 4 pizzas their gift card will have the same amount of money left on them.

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Answer:

Karen,  this type of question is such a tricky question, there is a lot of things that you just have to remember for these.  Also, this type of question is asked a lot on brainly,  you are in good company :P   This also makes me wonder if math teachers are just REALLY BAD at teaching this.. hmmm   Something is up with this type of problem b/c I have answer 100s of these type on here.. they are tricky.  soooo...

Step-by-step explanation:

1st ,

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

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sooo I see that we want to find that angle ∅ and we know two of the sides and that this is a right triangle.. which means we can use the above formulas on this triangle.  So we know the adjacent side and the opposite side, to the angle,  soo lets use TOA

Tan(∅) = Opp / Adj

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∅ = arcTan( 4 /13 )      ( this will find the angle, but make sure your calculator is set to degrees.. and not radians )

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