Write 5.9 as an improper fraction and a mixed number in the simplest form.

Based on the calculations, the speed of the dog is equal to 8.44 m/s.

Given the following data:

To calculate the speed of the dog:

Speed can be defined as the distance covered by an object or living organism per unit of time. Thus, speed can be measured as meter per seconds.

Mathematically, speed is given by this formula;

[tex]Speed = \frac{distance}{time}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Speed = \frac{135}{16}[/tex]

Speed = 8.44 m/s.

Read more on speed here: brainly.com/question/10545161

The monthly interest payment is: B. $12.50.

First step is to find the average monthly interest rate

Average monthly interest rate=1/12× 15%

Average monthly interest rate= 1.25%

Second step is to calculate the monthly interest payments

Monthly interest payments=1.25%× $1,000

Monthly interest payments=$12.50

Inconclusion the monthly interest payment is: B. $12.50.

Learn more about monthly interest payment here:https://brainly.com/question/2151013

Answer:

-2<x<1

Step-by-step explanation:

Substract  5 on both sides

-4I3+6X>-36    

Divide by -4(flipping sign)

I3+6xI <9

                        SPLIT

3+6x<9                                 3+6x> -9  ( you flip  back  )

6x<6                                       6x>-12

x<1                                             x>-2

============================================================

Explanation:

Think of "eighths" as the name of a coin type.

The fraction 5/8 means "5 eighths" which we can think of as "5 coins".

Similarly, 1/8 can be thought of as "1 coin" because of 1 in the numerator.

We have two coins of the same type (both "eighths") which means we can combine the coin counts to get 5+1 = 6 coins total.

In other words, 1/8 + 5/8 = (1+5)/8 = 6/8

This is why we add the numerators but keep the denominators the same. If the denominators were different, then we cannot combine the fractions until we get them to the same denominator (such as the LCD).

Having different denominators is like adding apples to oranges. Unless we can somehow get them to the same unit, then adding wouldn't make much sense.

---------------------------

After adding, we need to reduce the result.

The numbers 6 and 8 have the common factor 2.

Divide each by this common factor.

You can write it like this if you wanted:

[tex]\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4}[/tex]

Or in short,

[tex]\frac{6}{8} = \frac{3}{4}[/tex]

If you cut a pizza into 8 slices, and eat 6 of them, then it's the same as eating 3 out of 4 total slices. That's one visual way to represent the fraction 6/8 turning into 3/4.

Answer:

the first : all real numbers

Step-by-step explanation:

the domain is the interval or set of all valid values for x.

reflecting the graph over the x-axis simply means to multiply the original function by -1.

that does not change the domain in any case. it only changes the range (the interval or set of possible y values).

so, the domain is the same as for the original function : all real numbers.

Answer:

B

Step-by-step explanation:

Hope this helps

Answer:

2

Step-by-step explanation:

because 38+38=76 so 2 pieces of ribbon.

9514 1404 393

Answer:

  The equation has infinite solutions.

Step-by-step explanation:

When the same expression appears on both sides of the equal sign, the equation has an infinite number of solutions. It is true for all possible values of the variable.

  x = x . . . . is true for all values of x

Answer:

d infinite sol

Step-by-step explanation:

answer:  5.4264  

Hope i helped!

Answer:

1/6

Step-by-step explanation:

There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.

Answer:

1/6

Step-by-step explanation:

There are 4 possible primes: 2, 3, 5, 7

First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.

Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.

The expression 2/3a -7+7/18a-5 1/6 is an illustration of fractions

The simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a  -73/6

The expression is given as:

2/3a -7+7/18a-5 1/6.

Collect like terms

2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a-7-5 1/6.

Express mixed fractions as improper fractions

2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a - 7 - 31/6.

Evaluate the sum and difference

2/3a -7+7/18a-5 1/6 = 19/18a  -73/6

Hence, the simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a  -73/6

Read more about simplified expressions at:

https://brainly.com/question/723406

Answer:

Hi I'm always here to help!!

______________________________

m² + 11m − 11

______________________________

Have a great day!!!

Answer:

Rounding goes up to the next number when a number is 5-9.

-$3

-$1

-$5

-$2

-$3

-$9

-$1

- $1 off (coupon)

- $1 off (coupon)

Rounded Total: $22

Exact Total: $21.77

B) The total on the register is reasonable because even with the rounded price at the end, it is only 23 cents off, which is good.

Answer:D

a=4

Step-by-step explanation:

The sequence a_n = -2 - 51n is an arithmetic sequence

The 11th term of the sequence is -563

The nth term of the sequence is given as:

a_n = -2 - 51n

Substitute 11 for n to calculate the 11th term of the sequence

a11 = -2 - 51 * 11

Evaluate the product

a11 = -2 - 561

Evaluate the difference

a11 = -563

Hence, the 11th term of the sequence is -563

Read more about sequence at:

https://brainly.com/question/7882626

Answer:

0,9

Step-by-step explanation:

Answer:

y=9

Step-by-step explanation:

In this equation you would add 9 to get the y on a side by itself that would get you 3y=27, then you would divide both sides by 3 and end up with your y-intercept to be 9.

Answer:

see below and see image.

Step-by-step explanation:

"inscribed" means the four corners (vertices) of the square are on the circle.

The diagonal of the square is the diameter of the circle. Use special right triangles or pythagorean thm to find the side length of the square in terms of r. Use Area formula for a square:

A = s^2 OR s×s

see image.

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

n = 5

Step-by-step explanation:

180(n − 2) = s

180(n − 2) = 540

180n - 360 = 540

180n - 360 + 360 = 540 + 360

180n = 900

(1/180) 180n = 900 (1/180)

n = 5

Answer:

An Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]

Step-by-step explanation:

Beginning balance of Jennifer=$4750

Now she deposits a paycheck = p

So, New balance = 4750+p

Now she writes a check = c

Remaining balance = 4750+p-c

Now she writes a check = d

Remaining balance = 4750+p-c-d

Now refunded some money (r) for returning a pair of shoes she bought.

New balance = 4750+p-c-d+r

Hence  an Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]

Answer:

y=[tex]\frac{1}{2}[/tex]x-8

Step-by-step explanation:

To solve this, you have to use the formula [tex]\frac{x_{2} -x_{1} }{y_{2} -y_{1}}[/tex] to find the slope.

[tex]\frac{0+4}{-8-0}[/tex] = 4/-8 = -1/2

so the slope is -1/2

Now, you plug your values into the formula y=mx+b

m = slope = 1/2

b = y-intercept = -8

so the final formula is y=[tex]\frac{1}{2}[/tex]x-8

Answer:

[tex](-3, 5)[/tex]

Step-by-step explanation:

Isolate x from the first equation:

[tex]x=\frac{11-4y}{3}[/tex]

Now, substitute it in  the second equation:

[tex]\begin{bmatrix}2\cdot \frac{11-4y}{3}+y=-1\end{bmatrix}[/tex]

This gives you:

[tex]\begin{bmatrix}\frac{22-5y}{3}=-1\end{bmatrix}[/tex]

So, you conclude: y = 5

Next, we substitute y = 5 into [tex]x=\frac{11-4y}{3}[/tex]

So, we get:

[tex]x=\frac{11-4\cdot \:5}{3}[/tex]

Then:

[tex]x=-3[/tex]

Finally, we have to put it into the coordinate form:

[tex](-3, 5)[/tex]

Explanation:

The angles marked with a single arc are one pair of congruent angles forming one "A" of "ASA".

The other "A" is the angles marked with double arcs.

The "S" refers to the sides between those said angles. These sides overlap perfectly so we have a shared side, meaning they must be the same length (refer to the reflexive property).

This is why the triangles are congruent by the ASA (angle side angle) congruence theorem. One triangle is a reflected version of the other. The mirror line being that shared overlapping side. Congruent triangles are like twin identical copies.

Answer:

x² - 10x + 29

Step-by-step explanation:

The standard form of a quadratic is , ax² + bx + c (a ≠ 0 )

Given

(x - 5)² + 4 ← expand factor using FOIL

= x² - 10x + 25 + 4

= x² - 10x + 29 ← in standard form

Answer:

49 students/7 teams= 7 students per team

49/7=7

i hope this work for you

and sory if im wrang

Answer:

w=67°

Step-by-step explanation:

First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°

Answer:

Step-by-step explanation:

We observe on the picture that:

Therefore

Answer:

$7.61 per pound

Step-by-step explanation:

41.85/5.5 = 7.61

Answer:

7.6090909090909

Step-by-step explanation:

41.85 divided by 5.5= this and that's a way to find your answer.

And for the answers there is 5 09's.

so like 7.609

09 09 09 09 09

so=7.6090909090909

Hope it helps have a great day:)

Answer:

p = 73°

Step-by-step explanation:

The sum of the interior angles of every triangle is always 180°

p = (180 - 34 - 73)° = (180 - 107)° = 73°

Hope this helps

Answer:

First, we need to find how many books there are in each group;

If we look at group 1, they have 18 books.

If we look at group 4, they have 9 books. (We got this because they have 6 whole books, and they have half of a those 6 books which is 3 books in the other book symbol, so combined: 6 + 3 = 9)

18(group 1) - 9(group 4) = 9, group 1 read 9 more books.