Answer:
Douglas can race the go-karts at least 3 times.
Step-by-step explanation:
Given that:
Worth of game card = $20
Cost of go-kart = $3.50 each time
Amount Douglas wants to left = $7.75
Let,
x be the times Douglas can ride go-kart.
20 - 3.50x ≤ 7.75
-3.50x ≤ 7.75 - 20
-3.50x ≤ -12.25
3.50x ≤ 12.25
Dividing both sides by 3.50

Hence,
Douglas can race the go-karts at least 3 times.
we will proceed to resolve each case to determine the solution
we have


we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u> 
Substitute the value of x and y in the inequality

-------> is true
so
The ordered pair
is a solution
<u>case b)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case c)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case d)</u> 
Substitute the value of x and y in the inequality

-------> is True
so
The ordered pair
is a solution
<u>case e)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality
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Hello There</u>
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➷ I'm assuming the answer is to be left in algebraic form.
Perimeter = length + length + width + width or (2 x length) + (2 x width)
Substitute the values in:
Perimeter = 2(3x - 5y - 4z) + 2(x - 3y + 5z)
Simplify:
Perimeter = 6x - 10y - 8z + 2x - 6y + 10z
Perimeter = 8x - 16y + 2z <== this is the answer
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Rita = $150
Bob = $150 - $35 = $115 Bob has $115
Joe = $115 divided by 5 = $23 $23 x 4 = $92 Joe Has $92
Tim = Has $50 more then joe, $92 + $50 = $142 Tim has $142
Answer:
i) vertical
ii) corresponding
iii) alt. interior
iv) corresponding
v)alt. exterior
vi) corresponding
Step-by-step explanation:
corresponding angles make an F when traced, alternate interior angles make a Z when traced, and same side interior angles make a C when traced. (just a tip!)