Answer:
73 dimes and 133 nickels
Step-by-step explanation:
$13.95 = 1395 cents
5n + 10d = 1395 (since each nickel is 5 cents and each dime is 10 cents)
5n = 1395 - 10d (subtract 10d from both sides to solve for n)
n = 279 - 2d
n + d = 206
279 - 2d + d = 206 (substitute n with the previous expression)
279 - d = 206 (add variable d and -2d)
-d = -73 (solve for d and divide both sides by negative 1)
d = 73
n + 73 = 206 (solve for n and subtract both sides by 73)
n = 133
15 + 0.2x = 20 + 0.15x
0.05x = 5
x = 100 miles
Answer:
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Step-by-step explanation:
![-2x^2-3x+4=0\\\\a=-2\,,\ b=-3\,,\ c=4\\\\\\x=\dfrac{-b-\sqrt{b^2\pm4ac}}{2a}=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(-2)(4)}}{2(-1)}=\dfrac{3\pm\sqrt{9+32}}{-2}\\\\\\x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\qquad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7](https://tex.z-dn.net/?f=-2x%5E2-3x%2B4%3D0%5C%5C%5C%5Ca%3D-2%5C%2C%2C%5C%20b%3D-3%5C%2C%2C%5C%20c%3D4%5C%5C%5C%5C%5C%5Cx%3D%5Cdfrac%7B-b-%5Csqrt%7Bb%5E2%5Cpm4ac%7D%7D%7B2a%7D%3D%5Cdfrac%7B-%28-3%29%5Cpm%5Csqrt%7B%28-3%29%5E2-4%28-2%29%284%29%7D%7D%7B2%28-1%29%7D%3D%5Cdfrac%7B3%5Cpm%5Csqrt%7B9%2B32%7D%7D%7B-2%7D%5C%5C%5C%5C%5C%5Cx_1%3D-%5Cdfrac%7B3%2B%5Csqrt%7B41%7D%7D%7B2%7D%5Capprox-4.7%5C%20%2C%5Cqquad%20x_2%3D-%5Cdfrac%7B3-%5Csqrt%7B41%7D%7D%7B2%7D%5Capprox1.7)
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Answer:
the answer is A
Step-by-step explanation: