To find how far she can walk in 3 minutes, we need to find how fast she can walk in 1 minutes. We do this by dividing the distance she walked by the time she walked. Lets do so.

3200/24=133.33

She walks 133.33 meters per minute. Now to find her distance in 3 minutes w multiply this number by 3.

133.33*3=400

Barbra walks 400 meters every 3 minutes.

3 0

3 years ago

In which set does -15/3

Serjik [45]

Answer:

Rational numbers

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.

8 0

2 years ago

Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4

kvasek [131]

9514 1404 393

Answer:

(x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

z = 4 -x +4y

Substitute this into the second equation:

y -4(4 -x +4y) = -13

y -16 +4x -16y = -13

4x -15y -3 = 0

In genera form, the first equation can be written as ...

3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

$\left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]$

4 0

2 years ago