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3 years ago

Assign two variables for each problem, and write the equations. Do not solve.

2 answers:

5 0

1. x represents one battery, y represents the other battery x+y=6.5 x-y=2.5 2. x represents the number of small drinks sold, y represents the number of other size drinks sold x+y=230 x+1.5y=285

Luba_88 [7]3 years ago

5 0

A = first battery type
b = second battery type

a + b = 6.5 V
a = ( 6.5 V ) - b

b - a = 2.5 V

b - (6.5 - b) = 2.5
2b - 6.5 = 2.5
2b = 9.0
b = 4.5 V
a = 6.5 - 4.5
a = 2.0 V

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2 years ago

A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing spee

Snezhnost [94]

Initial velocity=u=20km/h
Final velocity=v=70km/h
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$\\ \rm\longmapsto u=20\times\dfrac{5}{18}=5.05m/s$

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$\boxed{\sf Acceleration=\dfrac{v-u}{t}}$

$\\ \rm\longmapsto Acceleration=\dfrac{19.4-5.05}{10}$

$\\ \rm\longmapsto Acceleration=\dfrac{14.3}{10}$

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7 0

2 years ago

15 Points!

Gnom [1K]

$S(p)=D(p)\to10+0.002p^3=50-0.04p^2\\\\0.002p^3+0.04p^2-40=0\ \ \ |\cdot1000\\\\2p^3+40p^2-40000=0\ \ \ \ |:2\\\\p^3+20p^2-20000=0\to p\approx21.86$

Answer: A) $21.86

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3 years ago