A) Tonya bought 3 games at X price, so 3X would be total amount.
B) Tony's cost was 0.50 less than X, so x-0.50, he bought 4 games, so he spent 4(x-0.50).
C) Set those to equal to solve for x:
3x = 4(x-0.50)
D) Solve:
3x = 4(x-0.50)
Distribute:
3x = 4x - 2
Subtract 4x from both sides:
-X = -2
Multiply both sides by -1:
X = 2
E) Since X is the amount Tonya paid per game, Tony paid X - 0.50, so Tony paid 2 - 0.50 = $1.50 per game.
Check:
Tonya: 3x = 3(2) = $6 total
Tony: 4(x-0.50) = 4(2.00 - 0.50) = 4(1.50) = $6 total
You should look to units of measure when setting up problems. when math is done correctly, the units cancel out just as numbers and variables do.
(miles / hr) * hr = miles
Speed = (miles / hr)
So if the Train W is traveling at x miles/hr
Then Train E is traveling (x+14) miles/hr
The combined distance they two trains travel is 320 miles
2x + 2(x+14) = 320
2x + 2x + 28 = 320
4x + 28 = 320
4x = 292
x = 292/4
x = 73 miles/hr
remember we set x as the speed for Train W
so Train E is going 73 + 14 = 87 miles/hr
Answer:
15.10 ft
Step-by-step explanation:
It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.
tan (theta) = opposite side / adjacent side
tan 40 = x / 18
x = 15.10 ft
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Answer:
288 cm^2
Step-by-step explanation:
Area of Triangle: 1/2bh
1/2(36)(16)
1/2(576)
288
The answer is x=-91/3
Step by step:
3x+91=0
3x=-91
x=-91/3
