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tino4ka555 [31]
3 years ago
15

Alex is practicing his dives at a pool. He dives from a dividing board that is 21 feet above the surface of the water. His dive

takes him 17 feet below the surface of the water. Alex says that the two distances are opposite, so his total dive distance is 22 + (-17) = 5 feet. Is Alex correct? How far did he travel if he is wrong?
Mathematics
1 answer:
leonid [27]3 years ago
6 0

Answer:

NO. Alex was wrong.  

The total dive distance is 21 + 17 = 38 feet

Step-by-step explanation:

Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.

So his direction of travelling is not opposite but the same.

Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water  

Distance traveled from the diving board to the water surface = 21 feet

Distance traveled from the water surface down below the water = 17 feet  

Total distance traveled by Alex = 21 feet + 17 feet

   = 38 feet.

Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.

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$45 * .22 = $9.9

So 22% of $45 is $9.9.

Then you subtract $9.9 from $45.

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Balance + interest = 5634.53(1 + 0.017) = 5781.17
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3.) Total payment = 15264
Number of payments = 72 monthly payments
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Step-by-step explanation:

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A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry so the coa
g100num [7]

The cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

<h3><u>Solution:</u></h3>

Let "f" be the cost of 1 fries

Let "h" be the cost of 1 hamburger

<em><u>Given that, tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24</u></em>

8 x cost of 1 hamburger + 5 x cost of 1 fries = 24

8 \times h + 5 \times f = 24

8h + 5f = 24 -------- eqn 1

<em><u>The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60</u></em>

6 x cost of 1 hamburger + 2 x cost of 1 fries = 16.60

6 \times h + 2 \times f = 16.60

6h + 2f = 16.60 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

16h + 10f = 48 ------ eqn 3

Multiply eqn 2 by 5

30h + 10f = 83 -------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

30h + 10f = 83

16h + 10f = 48

( - ) ----------------------

14h = 35

<h3>h = 2.5</h3>

Substitute h = 2.5 in eqn 1

8(2.5) + 5f = 24

20 + 5f = 24

5f = 4

<h3>f = 0.8</h3>

Thus cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

5 0
3 years ago
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