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forsale [732]
3 years ago
15

How many seats are there in each row?

Mathematics
1 answer:
andrezito [222]3 years ago
7 0
Fives Guys Cheeseburger with Ketchup, Mayo, Grilled Onions, Cheese, and A1 Steak Sauce

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What are the roots of the polynomial equation 3 - 6x6 3 28? Use a graphing calculator and a system of equations.
melisa1 [442]
Djirjfkfkkgkgkgkgkgkgkkgkg
5 0
3 years ago
Suppose that one state’s license plates consist of 1 digit followed by 4 letters followed by 2 digits. How many such plates can
Korolek [52]

Answer:

The state can issue 456,976,000 license plates.

Step-by-step explanation:

For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.

For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.

For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:

\frac{10} \frac{26} \frac{26} \frac{26} \frac{26} \frac{10} \frac{10}

= 10*26*26*26*26*10*10

=456,976,000.

Therefore, the state can issue 456,976,000 license plates.

7 0
3 years ago
19) Albert says that the two systems of equations shown have the same solutions.
k0ka [10]

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

6x + y= 2

-x-y=-3

solving the system

\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}

\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18

\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}

adding the equation

-6x-6y=-18

+

\underline{6x+y=2}

-5y=-16

so the system becomes

\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}

solve -5y for y

-5y=-16

Divide both sides by -5

\frac{-5y}{-5}=\frac{-16}{-5}

simplify

y=\frac{16}{5}

\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}

6x+\frac{16}{5}=2

subtract 16/5 from both sides

6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}

6x=-\frac{6}{5}

Divide both sides by 6

\frac{6x}{6}=\frac{-\frac{6}{5}}{6}

x=-\frac{1}{5}

Therefore, the solution to the FIRST SYSTEM is:

x=-\frac{1}{5},\:y=\frac{16}{5}

SECOND SYSTEM

2x-3y = -10

-x-y=-3

solving the system

\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}

\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6

\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}

-2x-2y=-6

+

\underline{2x-3y=-10}

-5y=-16

so the system of equations becomes

\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}

solve -5y for y

-5y=-16

Divide both sides by -5

\frac{-5y}{-5}=\frac{-16}{-5}

Simplify

y=\frac{16}{5}

\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}

2x-3\cdot \frac{16}{5}=-10

2x=-\frac{2}{5}

Divide both sides by 2

\frac{2x}{2}=\frac{-\frac{2}{5}}{2}

Simplify

x=-\frac{1}{5}

Therefore, the solution to the SECOND SYSTEM is:

x=-\frac{1}{5},\:y=\frac{16}{5}

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

8 0
3 years ago
8 1/2 divided 2 2/3 as a mixed number?
Romashka-Z-Leto [24]

Answer:

<h3 /><h3> = 3 <u> </u><u>3</u><u> </u><u> </u></h3><h3> 16 </h3>

Step-by-step explanation:

<h3><u>1</u><u>7</u> ÷ <u>8</u><u> </u></h3><h3>2 3</h3>

Second step : multiply

<h3>=<u> </u><u> </u><u>1</u><u>7</u><u> </u><u>×</u><u> </u><u> </u><u>3</u></h3><h3> 2 × 8</h3>

The answer will be <u>5</u><u>1</u><u> </u>

16

<h3>= <u>5</u><u>1</u></h3><h3> 16</h3>

Simplifying 51/16 , the answer is

<h3>= 3 <u> </u><u>3</u><u> </u></h3><h3><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>1</u><u>6</u></h3>

<u>l</u><u> </u><u>hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>❤</u><u>❤</u>

3 0
3 years ago
When babies are born, their lengths are recorded. Maddy is 18 1/2 inches. Her twin Alex, is 20 3/4 inches. How much longer is Ma
Furkat [3]

Answer:

Alex is 2 1/4 inches longer than Maddy

Step-by-step explanation:

Alex is longer than Maddy

20 3/4 - 18 1/2

Get a common denominator

20 3/4 - 18  2/4

2 1/4

Alex is 2 1/4 inches longer than Maddy

Maddy is -2 1/4 inches longer than Alex

7 0
3 years ago
Read 2 more answers
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