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Andre45 [30]
3 years ago
7

The expression 35 + 45x represents a train's distance, in miles, from a terminal after x hours of travel.

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0
35 miles.

Because it was at beginning of journey, it must be x = 0. Now that we have a value for x now we can solve the equation.

<span>35 + 45(0) = 35 + 0 = 35

</span>
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Makayla has 5 yards of ribbon to use for a craft project. She cuts the ribbon into pieces that are yard long.
jolli1 [7]

Answer:

20

Step-by-step explanation:

If she has 5 yards and she cuts them into 1/4 each. You're basically multiplying 5 by 4, and that's 20.

7 0
2 years ago
3. Solve the system using elimination (not substitution or matrices). negative 2 x plus y minus 2 z equals negative 8A N D7 x pl
riadik2000 [5.3K]

Elimination Method

\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ 5X+2Y-Z=-9 \end{gathered}

If we multiply the equation 3 by (-1) we obtain this:

\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ -5X-2Y+Z=9 \end{gathered}

If we add them we obtain 0, therefore there are infinite solutions. So, let's write it in terms of Z

1. Using the 3rd equation we can obtain X(Y,Z)

\begin{gathered} 5X=-9-2Y+Z \\ X=\frac{-9-2Y+Z}{5} \\  \end{gathered}

2. We can replace this value of X in the 1st and 2nd equations

\begin{gathered} -2\cdot(\frac{-9-2Y+Z}{5})+Y-2Z=-8 \\ 7\cdot(\frac{-9-2Y+Z}{5})+Y+Z=-1 \end{gathered}

3. If we simplify:

\begin{gathered} \frac{-9Y+12Z-63}{5}=-1 \\ \frac{9Y-12Z+18}{5}=-8 \end{gathered}

4. We can obtain Y from this two equations:

\begin{gathered} Y=-\frac{-12Z+58}{9} \\  \end{gathered}

5. Now, we need to obtain X(Z). We can replace Y in X(Y,Z)

\begin{gathered} X=\frac{-9-2Y+Z}{5} \\ X=\frac{-9-2(-\frac{-12Z+58}{9})+Z}{5} \end{gathered}

6. If we simplify, we obtain:

X=\frac{-3Z+7}{9}

7. In conclusion, we obtain that

(X,Y,Z) =

(\frac{-3Z+7}{9},-\frac{-12Z+58}{9},Z)

8 0
10 months ago
HELP DUE IN 20 MINS! Leave answers as simplified fractions if necessary.<br><br> m =??
mezya [45]
The answer is M = -24
3 0
2 years ago
Read 2 more answers
5,000,000,000 + 600,000,000 + 6,000,000 + 600,000+ 80,000 + 300 + 80
xxTIMURxx [149]

The answer is 5606680380

8 0
1 year ago
Read 2 more answers
By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so o
beks73 [17]

Answer:

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Step-by-step explanation:

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

<h3><u>Answer:-</u></h3>

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

<h3><u>Used Method :-</u></h3>

→ Prime Factorization Method

6 0
2 years ago
Read 2 more answers
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