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Inessa05 [86]
2 years ago
10

rally car race course covers 515.97 miles. The winning car completed the course in 6.5 hours. What was the average speed of the

winning car?
Mathematics
1 answer:
Assoli18 [71]2 years ago
8 0

Answer: 79.38

Step-by-step explanation:

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In the parallelogram shown in the picture solve for Z
deff fn [24]

In a parallelogram, opposite angles are congruent.

Since angles z and 124° are opposite angles in the parallelogram, they are congruent angles.

Therefore we have:

z=124°

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2 years ago
The price P of a good and the quality Q of a good are linked.
Irina-Kira [14]

the equilibrium point, is when Demand = Supply, namely, when the amount of "Q"uantity demanded by customers is the same as the Quantity supplied by vendors.

That occurs when both of these equations are equal to each other.

let's do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, 12.


\bf \stackrel{\textit{Supply}}{-\cfrac{3}{4}Q+35}~~=~~\stackrel{\textit{Demand}}{\cfrac{2}{3}Q+1}\implies \stackrel{\textit{multiplying by 12}}{12\left( -\cfrac{3}{4}Q+35 \right)=12\left( \cfrac{2}{3}Q+1 \right)} \\\\\\ -9Q+420=8Q+12\implies 408=17Q\implies \cfrac{408}{17}=Q\implies \boxed{24=Q} \\\\\\ \stackrel{\textit{using the found Q in the Demand equation}}{P=\cfrac{2}{3}(24)+1}\implies P=16+1\implies \boxed{P=17} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{Equilibrium}{(24,17)}~\hfill



3 0
3 years ago
A student from the community college is selected at random. Find the probability that the student is at last 31. Round approxima
12345 [234]

Answer:

0.077

Step-by-step explanation:

From the table :

Number of students aged 31 - 35 = 60

Number of students over 35 = 26

Total number of students = total possible outcomes = 1123

Required outcome = (students aged 31 - 35) + over 35 = 60 + 26 = 86

Probability = required outcome / Total possible outcomes

Probability (at least 31) = 86 / 1123 = 0.0765

= 0.077 (3 decimal places)

7 0
2 years ago
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