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3 years ago

1) Which of the following represents a unit rate? *

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Answer:

D, It's used for every one

Step-by-step explanation:

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Chandler is walking 1/16 km every 10 minutes. How many kilometers will he walk in 1 hour?!

SashulF [63]

Answer:

$\frac{3}{8} or\ 0.375\ km$

Step-by-step explanation:

Given: Chandler walk 1/16 km every 10 minutes.

First, lets find how many 10 minutes in one hours or convert minutes in hours.

∴ Time= $\frac{60}{10} \ h$

Now, finding kilometres travelled in 1 hour.

Distance travelled= $\frac{1}{16} \times \frac{60}{10} = \frac{1}{16} \times 6$

Distance travelled = $\frac{3}{8}$

Converting $\frac{3}{8} \ km$ into decimal will have 0.375 km.

∴ $\frac{3}{8} or\ 0.375\ km$ will chandler walk in 1 hour.

7 0

3 years ago

Read 2 more answers

Please help I don’t understand it’s like angles and stuff picture above.

dusya [7]

Answer:

1) 145°

2) 20°

3) x = 7 ; measurement of the missing angle = 24

Step-by-step explanation:

1) supplement = 180°, 180 - 35 = 145

2) complment = 90° , 90 - 70 = 20

3) the figure is a right angle so the measurement is 90°

66 + (4x-4) = 90

62 + 4x = 90

4x = 28

x = 7

4(7) - 4

28 - 4

= 24

3 0

3 years ago

Read 2 more answers

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either

Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

$\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}$

The steady state is that satisfies this product of matrixs:

$[\pi] \cdot [P]=[\pi]$

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

$(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)$

Now we have to solve this equations

$0.85\pi_U+0.10\pi_M=\pi_U\\\\0.15\pi_U+0.90\pi_M=\pi_M$

We choose one of the equations and solve:

$0.85\pi_U+0.10\pi_M=\pi_U\\\\\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\\\\\\\pi_M+\pi_U=1\\\\1.5\pi_U+\pi_U=1\\\\\pi_U=1/2.5=0.4 \\\\ \pi_M=1.5\pi_U=1.5*0.4=0.6$

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

4 0

3 years ago

10 – 7x = 2 - 8x help :)

Rudik [331]

10-7x=2-8x

We move all terms to the left:

10-7x-(2-8x)=0

We add all the numbers together, and all the variables

-7x-(-8x+2)+10=0

We get rid of parentheses

-7x+8x-2+10=0

We add all the numbers together, and all the variables

x+8=0

We move all terms containing x to the left, all other terms to the right

x=-8

4 0

3 years ago

Read 2 more answers

Select the expression that simplifies to 1 / x^1/8

Troyanec [42]

Answer:

$\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}$

Step-by-step explanation:

$\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}$

4 0

2 years ago