This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0

3 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x

Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra II

Exponential to Logarithmic: $\displaystyle b^m=x \rightarrow log_bx=m$

Step-by-step explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

[Equality Property] Raise both sides to the 10th power: $\displaysytle 10^{0.77} = 10^{logx}$
Simplify: $\displaysytle x = 10^{0.77}$
Evaluate: $\displaysytle x = 5.88844$

8 0

3 years ago

Tessa is in the track team. For practice and exercise, she runs 2.25 miles each day. At the end of 14 days, how many total miles

lidiya [134]

2.25 miles in 1 day

1day=2.25mi

14days=x miles

1day 14days
_______ = ________
2.25mi x mi

Cross multiply
1x=31.5
divide both sides by 1
x=31.5miles

Answer=31.5miles

5 0

3 years ago

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