help with some word problems...?

Question

-A cash register contains 18 quarters and dimes. Find the total value of the coins in terms of quarters, q.

-Two cars leave the same parking lot at noon, One car drives 30 mph faster than the second car, which is driving due west. At what time will they be 1200 miles apart?

-A collection of 30 coins worth $5.50 consists of nickels, dimes, and quarters. There are twice as many dimes as nickels. How many quarters are there?

-One half of the sum of three consecutive multiples of 10 is 90. What are the multiples of 10?

-Interest earned = Amount invested · Rate of interest. Larry has an annual return of $213 from $3000 invested at simple interest, some at 5% and the rest at 8%. How much is invested at each rate?

Answer 1

1) Let q be the number of quarters and d be the number of dimes.
Since we're given q + d = 18, then
q = 18 - d

3) Let x be the first multiple of 10. Then the next one would be
x + 10, and then one after would be x + 10 + 10, or x + 20.

x
x + 10
x + 20

It is given that half of their sum is equal to 90; that is

(1/2) [x + (x + 10) + (x + 20)] = 90

Now, we solve for x using algebra.

Multiply both sides by 2 to get

x + (x + 10) + (x + 20) = 180

Combine like terms

3x + 30 = 180
3x = 150
x = 50

So the three multiples of 10 are 50, 60, 70.

Answer 2

What shapes do you get when you split the square with a diagonal? Two trangles. Since we know the field is a square, that means all the sides are equal (therefore, if you know one side, you know all the sides). So now you have a trangle with two sides equal to 60 feet. You can now use Pythagorean's theorem: A (squared) + B(squared) = C (squared) A and B are your two sides and then you just solve for C. Good luck!

Answer 3

o please yaar, don't ask any stupid q. on net.