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Aleonysh [2.5K]
3 years ago
5

dolores and four friends went to a buffet dinner.The total cost was at most $130 including the $20 dollar tip they left.How much

did each pay for the buffet?
Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0

So we need to start by finding the total price which would be $150 because $130 + $20 would equal $150. Next thing we need to do is find out how many people we have and we have 5 people. We can figure that out by seeing it states “Dolores and four friends” which indicates there is 1 + 4 which would equal 5 then we would divide these 2 numbers we came up with ($150/5) to get $30 each person. Each person paid $30 for the buffet.

erma4kov [3.2K]3 years ago
5 0
They each would have payed $26 dollars each.
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Solve the right triangle shown in the figure. A=45, AC=14km, C=90<br> C.
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Answer:

B = 45°

BC = 14 km

AB = 14√2 km ≈ 19.80 km

Step-by-step explanation:

If one acute angle (A) of a right triangle is 45°, then the other one is also:

... 180° -90° -45° = 45°

The sides opposite these congruent angles are the same length, 14 km in this case, and the hypotenuse is found from the Pythagorean theorem to be √2 times either leg length.

... AB² = AC² +BC²

... AB = √(AC² +BC²) = (14 km)√(1² +1²) = 14√2 km

4 0
3 years ago
Can someone help answer and explain to me how to solve this? log (lowercase 6) 1/36
MissTica
Answer: The log simplifies to -2

-------------------------------------------
-------------------------------------------

Explanation:

We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.

Another log rule that we will use is \log_x\left(x\right) = 1 where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.

Because 36 = 6^2, this means that 1/36 = 6^(-2)

-------------

So,

\log_6\left(\frac{1}{36}\right)=\log_6\left(\frac{1}{6^2}\right)

\log_6\left(\frac{1}{36}\right)=\log_6\left(6^{-2}\right)

\log_6\left(\frac{1}{36}\right)=-2*\log_6\left(6\right) Use log rule 1 (see above)

\log_6\left(\frac{1}{36}\right)=-2*1 Use log rule 2 (see above)

\log_6\left(\frac{1}{36}\right)=-2 

This means that the given expression simplifies to -2

You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer

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4 years ago
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4 years ago
X + y = 3<br> 3x + 4y = 3<br> using substitution how would you get x and y?
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Answer:

The solution is: (x, y) = (9, -7)

Step-by-step explanation:

Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.

x+y=3

y=3-x

Step 2: Substitute the solution from step 1 into the second equation.

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Step 3: Solve this new equation.

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The solution is: (x, y) = (9, -7)

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