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Reika [66]
3 years ago
5

on each of 3 days, Derrick rode 6.45 mules to school,15 meters to the library, and then 500 meters back home.how many kilometers

did her ride for the 3 days altogetger?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0
If 6.45 is supposed to be miles
6.45 miles = 10380.269 metres
10380.269+15+500=10,895.269
but that is only if the 6.45 is in miles
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\text{Graph for} \ 4x - 3y = 12 


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Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and the second account has a
Paraphin [41]

Answer:

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Step-by-step explanation:

Interest earned is proportional to the interest rate, so if the interest earned is the same, the amounts invested must be inversely proportional to the interest rates. That is, for the 3% and 2% accounts, the ratio of money invested is 2:3.

In other words, 2/5 of the money ($3200) was invested at 3%, and 3/5 of the money ($4800) was invested at 2%.

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If you need an equation, you can let x represent the amount invested at the highest rate. Then 8000-x is the amount invested at the lower rate. For the interest in the two accounts to be equal, we have ...

  3%·x = 2%·(8000-x) . . . . . the amounts of interest earned are the same

  3/2·x = 8000 -x . . . . . . . . divide by 2%

  5/2·x = 8000 . . . . . . . . . . . add x and simplify

  x = 8000·(2/5) = 3200  . . . multiply by the inverse of the x coefficient

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Tamara invested $3200 in the 3% account and $4800 in the 2% account.

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3 years ago
Will give brainliest to correct answer! Given that cos Ф=-8/17 and sin Ф is negative, determine the value of tan Ф.
Kipish [7]

Answer: option 3 is the correct answer

Step-by-step explanation:

Let us look at the various trigonometric ratios

Sin Ф = opposite side/ hypotenuse

Cos Ф = adjacent side / hypotenuse

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Therefore, tan Ф = sin Ф / cos Ф

This means that if cos Ф=-8/17 and sin Ф is negative, then the hypotenuse is negative

To determine the adjacent side, we will apply Pythagoras theorem

Hypotenuse ^2 = opposite ^2 + adjacent ^2

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