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3 years ago

How many feet of fence are needed to enclose a circular race track 1.5 miles long? (Hint: There are 5,280 feet in a mile.)

Mathematics

1 answer:

Triss [41]3 years ago

7 0

Answer:

I think it’s 7,920 feet

Step-by-step explanation:

I did 1.5 miles times the amount of feet ( 5,280 )

And got 7,920

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One number is four times another number. If their sum is 95, what are the numbers?

nikdorinn [45]

Let x be one number and y be the other.

#1 - Set up a system of equations.
4x = y
x + y = 45

#2 - Solve the system by substitution.
x + (4x) = 45
5x = 45
x = 9

(9) + y = 45
y = 36

8 0

4 years ago

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Elizabeth is waiting for her flight at the airport. She decides to conduct an experiment. She wants to know how many people at t

Likurg_2 [28]

Answer:

the population is everyone at the airport ,the sample is the 50 people that walked by Elizabeth

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3 years ago

Solve the system of equations by transforming a matrix representing the system of equation into reduced row echelon form.

Gekata [30.6K]

Take the augmented matrix,

$\left[\begin{array}{ccc|c}2&1&-3&-20\\1&2&1&-3\\1&-1&5&19\end{array}\right]$

Swap the row 1 and row 2:

$\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right]$

Add -2(row 1) to row 2, and -1(row 1) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right]$

Multiply through row 3 by 1/9:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right]$

Add 5(row 3) to row 2:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right]$

Multiply through row 2 by -1/3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]$

Add -2(row 2) and -1(row 3) to row 1:

$\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&4\end{array}\right]$

So we have $\boxed{x=-3,y=-2,z=4}$ .

3 0

3 years ago

What pair describes 6 and 4

viktelen [127]

Alternate interior angles I believe

4 0

3 years ago

X+4y=-4, x+10y=-16, solve using systems of equations, elimination

lora16 [44]

Answer:

x = 4

y = -2

Step-by-step explanation:

x + 10y = -16

-x -4y = 4 <-- ( multiplied x+4y=-4 with -1 so the x's cancel)

6y = -12

y = -2

put -2 back in the equation to get x

x + 10y = -16

x -20 = -16

x = 4

6 0

3 years ago