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Hi;

Both the Answers, #2695 and #2696, are correct. Excellent, bobbym!

#2697. What does the noun *chateau* mean?

#2698. What does the noun *chauvinism* mean?

Hi;

The solution 510 is correct. Excellent, bobbym!

511. Find the area of the quadrilateral whose vertices are (3,4), (0,5), (2,-1), and (3,2).

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The solution #3257 is correct. Neat work, bobbym!

#3258. Solve for x:

Hi;

The solution #5998 is correct. Good work, bobbym!

#5999. If

find the value ofHi;

The solution 509 is correct. Neat work, bobbym!

510. Find the coordinates of the point which is equidistant from three given points A(5,1), B(-3,-7), and C(7,-1).

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The solution 508 is correct. Excellent, bobbym!

509. Find the value of 'a', if the distance between the points A(-3,-14) and B(a,-5) is 9 units.

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The solutions #3256 are correct. Excellent, bobbym!

#3257. If a student had walked 1 km/hour faster, he would have taken 15 minutes less to walk 3 km. Find the rate at which he was walking.

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The solution #5997 is correct. Neat work, bobbym!

#5998. A two digit number is seven times the sum of its digits and is also 12 less than three times the product of its digits. Find the number.

Hi;

The solution 507 is correct. Excellent, bobbym!

508. Find the area of a rhombus whose vertices taken in order are the points (3,0), (4,5), (-1,4), and (-2,-1).

Hi;

The Answer #2694 is correct. Good work, bobbym!

#2695. What does the noun *chasm* mean?

#2696. What does the verb (used with object) *chastise* mean?

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The solution #3255 (two values) are correct. Excellent, bobbym!

#3256. Solve:

Hi;

The solution #5986 (two values) is correct. Excellent, bobbym!

#5997. Find the value of a such that the quadratic equation

Hi;

The solution 506 is correct. Excellent, bobbym!

507. A motor boat whose speed is 20 km/hour in still water, taken 1 hour more to go 48 km upstream than to return downstream to the same spot. Find the speed of the stream.

Hi;

The solutions in #3254 are correct. Neat work, bobbym!

#3255. Solve:

Hi;

The two solutions in #5986 are correct. Excellent, bobbym!

#5987. Solve:

Hi;

The solution 505 (three parts) are correct. Neat work, bobbym!

506. In a flight of 2800 km, an aircraft was slowed down due to bad weather. Its average speed is reduced by 100 km/hour and time increased by 30 minutes. Find the original duration of the flight.

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#5986. Solve:

Hi;

The solutions in #3253 are correct. Neat work, bobbym!

#3254. Solve for x:

Hi;

The solution #3252 is correct. Good work, bobbym!

#3253. Solve:

Hi;

The solution 504 is correct. Brilliant, bobbym!

505. The king, the queen, the jack and 10, all of spades are lost from a pack of 52 playing cards. A card is drawn from the remaining well shuffled pack. Find the probability of getting a

(a) red card

(b) king

(c) black card.

Hi;

Another typo. The corrected version: #5985.

Hi;

The solutions in #5984 are correct. Neat work, bobbym!

#5985. Solve:

Hi;

The solutions in #3251 are correct. Good work, bobbym!

#3252. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

Hi;

The solution 503 is correct. Neat work, bobbym!

504. If A(-3,5), B(-2,-7), C(1,-8), and D(6,3) are the vertices of a quadrilateral ABCD, find its area.

Hi;

The solution #5983 is correct. Neat work, bobbym!

#5984. Solve for x: