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Sergeu [11.5K]
2 years ago
6

Becky runs 3 miles in 24 minutes. At the same rate, how many miles would she run in 60 minutes?

Mathematics
2 answers:
Scrat [10]2 years ago
7 0

Answer:

7.5 miles

Step-by-step explanation:

Speed = Distance / Time

Speed = \frac{3}{24} = \frac{1}{8} miles per minute

\frac{1}{8} * 60 = 7.5 miles

jeka942 years ago
7 0

Answer:

7.5 miles

Step-by-step explanation:

In order to answer this question we need to find how many minutes it takes Becky to run one mile.

To do this we need to divide the 24 minutes by the 3miles.

24/3 = 8

Therefore, it takes Becky 8 minutes per mile.

Next, to find how many miles she runs in an hour we need to divide 60 by 8.

60/8 = 7.5

Becky will run 7.5 miles per hour.

<em>I hope this helps!</em>

<em>- Kay :)</em>

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Rewrite the system of linear equations as a matrix equation AX = B.
iren2701 [21]

Answer:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

7 0
3 years ago
Can someone help me in this question?
igomit [66]

Answer:

3347000 cm is 33.47 km to cm

3347000/64=

401.92 is the circumference

since it is pi * d

do 3347000/401.92

8327.52786624 round to

8327 full revolutions

3 0
2 years ago
Read 2 more answers
What is the rate of change of y with respect to x for this function?​
lilavasa [31]

Answer:

Given the function: y=f(x) = 3x+2

when x=-2 at the beginning of the interval [-2, 5],

then;

y = 3x+2 begins at

y= 3(-2)+2 = -6+2= -4.

and

when x=5 at the end of the interval [-2, 5],

y = 3x+2 ends up at

y= 3(5)+2 = 15+2= 17.

So,

y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21

and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7

So, the average rate of change of y with respect to x over the interval

[-2, 5] is given by ;

=

Therefore, the average rate of change y with respect to x over the interval is, 3

Step-by-step explanation:

4 0
2 years ago
What is an expression to represent the equation
Tatiana [17]

Answer:

8 + \frac{x}{4}

Step-by-step explanation:

I'm assuming you want an answer to the top section of the question.

We can start with 8.

    8

When a problem asks for the sum, it's looking for addition, so we use the + sign.

    8 +

The problem says "a number," so let's represent that with x. Basically, x just means a number we don't know.

    8 + x

The "number" is divided by 4, so we'll just put x/4 as our second term.

   8 + \frac{x}{4}

7 0
3 years ago
15. The graph of quadratic parent function fwas transformed to create the graph of
Ganezh [65]

Answer:

Though, there is no given value of G.

The graph would look something like this.

<em>This </em><em>graph </em><em>was </em><em>made </em><em>with </em><em>an </em><em>F </em><em>value </em><em>of </em><em>1</em><em>.</em>

Step-by-step explanation:

None

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2 years ago
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