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3 years ago

11

Teran decided to run every day to keep herself healthy. He ended up running 3/5 of a kilometer every day. How much did she run i

n a week?

2 answers:

KatRina [158]3 years ago

6 0

Answer:

21/5= 4 1/5 =4.2 You pick which one 3 possible answers

Step-by-step explanation:

3/5+3/5+3/5+3+5+3/5+3/5+3/5=21/5 kilometers

21/5=4 1/5=4.2

Gekata [30.6K]3 years ago

4 0

Answer: Very Easy 3/5 x 7 = 4.2. The decimal 4.3 can be written as the mixed fraction 4 3/10 or as the improper fraction 43/10.

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Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?

Mkey [24]

Answer: Q1 10 Q216 Q3 8

Step-by-step explanation:

BECAUSE I THIK THAT IS THE ANSWER

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3 years ago

Consider the following two ordered bases of R3:

grigory [225]

Answer:

Let $A = (a_1, ..., a_n)$ and $B = (b_1, ..., b_n)$ bases of V. The matrix of change from A to B is the matrix n×n whose columns are vectors columns of the coordinates of vectors $b_1, ..., b_n$ at base A.

The, we case correspond to find the coordinates of vectors of C,

$\{\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right], \left[\begin{array}{ccc}2\\0\\-1\end{array}\right], \left[\begin{array}{ccc}-3\\1\\2\end{array}\right] \}$

at base B.

1. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&-1\\0&-1&1&-1\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&1\end{array}\right]$

now we use backward substitution

$c=1\\-b+c=-1,\; b=2\\a-2b+2c=2,\; a=4$

Then the coordinate vector of $\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right]$ is $\left[\begin{array}{ccc}4\\2\\1\end{array}\right]$

2. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}2\\0\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&0\\0&-1&1&-1\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&2\end{array}\right]$

now we use backward substitution $c=2\\-b+c=-1,\; b=3\\a-2b+2c=2,\; a=4$

Then the coordinate vector of $\left[\begin{array}{ccc}2\\0\\-1\end{array}\right]$ is $\left[\begin{array}{ccc}4\\3\\2\end{array}\right]$

3. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}-3\\1\\2\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&-3\\-1&2&-1&1\\0&-1&1&2\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&-3\\0&-1&1&2\\0&0&1&-2\end{array}\right]$

now we use backward substitution $c=-2\\-b+c=2,\; b=-4\\a-2b+2c=2,\; a=-2$

Then the coordinate vector of $\left[\begin{array}{ccc}-3\\1\\2\end{array}\right]$ is $\left[\begin{array}{ccc}-2\\-4\\-2\end{array}\right]$

Then the change of basis matrix from B to C is

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

4 0

4 years ago

Joanne has 20 books on crafts and cooking. she has 6 more cookbooks than craft books. how many of each does she have?

marin [14]

Answer:

Crafts books: 7

Cookbooks: 13

Step-by-step explanation:

Let x be the crafts book

Let y be the cookbooks

Solve for x:

Plug x and y in: x + y = 20
Re-write: y = x + 6
Plug in x + 6 instead of y: x + x + 6 = 20
Combine like terms: 2x + 6 = 20
Subtract 6 from each side, so it now looks like this: 2x = 14
Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7

Solve for y:

Re-use an equation from above: y = x + 6
Plug in the value of x: y = 7 + 6
7 + 6 = 13
So, y = 13

I hope this helps!

5 0

4 years ago

If two lines are perpendicular, then they form?

Delvig [45]

Answer:

a right angle?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 5.37 as a mixed number.

bezimeni [28]

$5\frac{37}{100} = \frac{537}{100}$

3 0

3 years ago

Read 2 more answers