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Dominik [7]
3 years ago
10

X2−10x+29=5

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer:

(x-6)(x-4) = 0

Step-by-step explanation:

Subtract 5 from both sides to make the equation equal to 0. You will get the equation x2-10x+24=0. Now think of two numbers that multiply to get 24 but add to get -10. These numbers are -6 and -4. The factors of x2 are x and x which multiply to get x2.  Now put two linear factors into parathesis to get (x-6)(x-4) = 0.

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Miguel's town voted on a new speed limit. Of the votes received, 16 were in favor of the new
Whitepunk [10]

Answer:

Exactly 50% of the votes were in favor of a new speed limit.

Step-by-step explanation:

We are given that 16 votes were in favor of a new speed limit and 16 votes were not. From this, we can determine the total amount of votes.

16 + 16 = 32 \ \text{total votes}

Then, using this information we can find the percentage of how many were in favor of the vote.

If 16 of the votes were in favor, we can divide these votes by the total votes to get a percentage.

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Then, we multiply this decimal by 100 in order to convert our answer to a percentage form.

\displaystyle 0.5 \times 100 = 50\%

Therefore, 50%, or half of the voters, were in favor of a new speed limit.

3 0
3 years ago
Alex added 10g of salt to 90g of water. What is the percentage of salt in this solution now?
Greeley [361]

Answer:

10%

Step-by-step explanation:

Amount of salt in 90g of water = 10g

Total weight of solution (salt + water) = (10g + 90g) = 100g

=> Total weight of salt in 100g of solution = 10g

Hence, Percentage of salt in this solution is given by:

\[\frac{10}{100}*100\]

This corresponds to 10%

So the percentage of salt in the solution = 10%

Similarly, percentage of water in the solution = \[\frac{90}{100}*100\] = 90%

3 0
3 years ago
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