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bekas [8.4K]
3 years ago
13

The Smith family had a meal catered for a wedding rehearsal dinner. The cost of the dinner was $325. There is 6% sales tax and t

hey left a 20% tip. What was the total cost of the dinner?
Mathematics
1 answer:
jeka57 [31]3 years ago
4 0

Answer:

409.5

Step-by-step explanation:

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Based on the side lengths given (a, b, and o, which triangles are right triangles?​
Cloud [144]

Answer:

2 & 3

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2.

If the values given in each option satisfy the theorem, the sides will make a right triangle.

<h3>For Option One:</h3>

4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}

The sides would not make a right triangle.

<h3>For Option Two:</h3>

6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}

The sides would make a right triangle.

<h3>For Option Three:</h3>

5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}

The sides would make a right triangle.

<h3>For Option Four:</h3>

6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}

The sides would not make a right triangle.

The correct answer should be options two and three.

6 0
3 years ago
If xy=0, what must be true about either x or y
evablogger [386]

Answer:

either x or y must equal 0​

Step-by-step explanation:

ts given that xy = 0

Remember that product of two numbers can be zero only if:

Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.

So, if the product of x and y is equal to 0 there are two possibilities:

Both x and y are equal to 0

Either x or y must be equal to 0

Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.

Hence, the condition which has to be true in all cases for xy = 0 is:

either x or y must equal 0​

4 0
3 years ago
Read 2 more answers
Ming-Li spent $15 at the movies. She then earned $30 babysitting. She spent $12 at the bookstore. She now has $18 left. How much
liq [111]
$21 I believe (it's 1 am where I am so I'm not 100% sure but I think it's correct)
5 0
3 years ago
What is a system of equations?
zlopas [31]

Answer:

A system of equations is when two or more equations have the same variable(s) that you work with together.

Step-by-step explanation:

For these types of equations, we typically use substitution, elimination, and graphing.

5 0
3 years ago
-12x - 12y = 4 3x + 3y = 0
Svetradugi [14.3K]

Answer:

no Solution

Step-by-step explanation:

-12x-12y=4\\ 3x+3y=0

12x-12y=4

add 12y to both sides

12x-12y+12y=4+12y

divid both sides by -12

\frac{-12x}{-12}=\frac{4}{-12}+\frac{12y}{-12}

simplfy

x=-\frac{1+3y}{3}

\mathrm{Substitute\:}x=-\frac{1+3y}{3}

\begin{bmatrix}3\left(-\frac{1+3y}{3}\right)+3y=0\end{bmatrix}

\begin{bmatrix}-1=0\end{bmatrix}

7 0
3 years ago
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