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mestny [16]
3 years ago
8

7th grade math pls help

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

Step-by-step explanation:

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The nearest 10 is 50 and the the nearest hundred is 900
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Jason is tossing a fair coin. He tosses the coin ten times and it lands on heads eight times. If Jason tosses the coin an eleven
nikdorinn [45]
:Jason is tossing a fair coin. He tosses the coin ten times and it lands on heads eight times. If                                           Jason tosses the coin an eleventh time, what is the probability that it will land on heads?  
Solution:
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The probability would be ½. The result of the eleventh toss does not depend on the previous                                   
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3 years ago
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Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

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11 months ago
55x^ 2 + 62y^ 2 + 38 − 63x^ 2 + 8
worty [1.4K]
What are you trying to do like simplify or what i can possibly help if i know
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