Use long division to convert the rational number 5/16 to its equivalent decimal form

Problem 1

Answer: C) No solution

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Explanation:

We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1

So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.

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Problem 2

Answer: C) Infinitely many solutions

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Explanation:

The two equations are equivalent. You can prove as such by isolating 2y in the first equation.

5x = 8-2y

5x+2y = 8

2y = 8-5x

2y = -5x+8

-5x+8 = 2y

This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.

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Problem 3

Answer: Choice A) [tex]-6 < y \le 3[/tex]

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Explanation:

The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.

The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range

The other part is [tex]y \le 3[/tex] since y = 3 is the when the highest point occurs.

So writing [tex]-6 < y \le 3[/tex] describes all possible y values of each (x,y) solution in the shaded region.

Answer:

Roughly about 1,407.

Step-by-step explanation:

Simply multiply 24 times 58 2/3

The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than 1.

As per the given,

The length of a day on Mercury is 58 2/3 times the length of a day on earth.

58 2/3 = 58 + 2/3 = 176/3

176/3 times 24 will be,

176/3 × 24 = 1408 hours.

Hence "The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours".

For more information about multiplication,

brainly.com/question/14059007

#SPJ2

Answer:

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

          b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

Answer:

n=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

13−2n=19

13+−2n=19

−2n+13=19

Step 2: Subtract 13 from both sides.

−2n+13−13=19−13

−2n=6

Step 3: Divide both sides by -2.

−2n/−2=6/−2

[tex]13 - 2n = 19[/tex]

Subtract sides -13

[tex]13 - 13 - 2n = 19 - 13[/tex]

[tex] - 2n = 6[/tex]

Divided sides by -2

[tex] \frac{ - 2}{ - 2}n = \frac{ 6}{ - 2} \\ [/tex]

[tex]n = - 3[/tex]

Done....♥️♥️♥️♥️♥️

Answer:

a. Coordinate of A (-4,-1)

b. Coordinate of A (4,4)

c. Coordinate of A (-2,2)

Answer:

30%

Step-by-step explanation:

% = increase/original * 100%

= 48$/160$ * 100%.

= 48/160 * 100%

= 30%

Answer:

30%

Step-by-step explanation:

percentage=increased marks / marks before increased*100

=48/160*100

=30%

therefore the percentage increase in price is 30%

I hope this will help u

Best of luck

Answer:

4.23

Step-by-step explanation:

First, you need to write this mixed number into an improper fraction, which would be 423/100. Then all you need to do is divide 423 by 100 to get 4.23.

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{( - 1 \: , - 4)}}}}[/tex]

Step-by-step explanation:

Let the point R ( - 3 , - 7 ) be ( x1 , y1 ) and S ( 1 , -1 ) be ( x2 , y2 ).

[tex] \text{Finding \: the \: midpoint} : [/tex]

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2 } \: , \frac{y1 + y2}{2} )}}[/tex]

[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \:, \frac{ - 7 + ( - 1)}{2} })[/tex]

[tex] \text{Remember} : [/tex]

[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \: , \frac{ - 7 - 1}{2} )}[/tex]

[tex] \text{Remember} : [/tex]

[tex] \sf{➳midpoint = ( \frac{ - 2}{2} \: , \frac{ - 8}{2} )}[/tex]

[tex] \sf{➳midpoint = ( - 1 \:, - 4})[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

[tex] \text{TheAnimeGirl}[/tex]

Answer:

15

Step-by-step explanation:

Both angles can add up to 180, so what I did was 7t-6 plus 5t+6=180. From there, I combined both positive 6 and negative 6 to which they cancel out. All that leaves is 7t+5t, which is 12t. Finally leaving 12t=180, so divided both sides by 12 to remove the 12 from 12t. 180/12=15. I think this is correct, but I am not sure. Please do check

Answer:

15

Step-by-step explanation:

ig my question was deleted lol

Ms. Willow's birth year = x

This year = 2020

80th birth year = x + 80

30th birth year = x + 30

Present age = 2020 - x

(x + 2020) - (x + 80 + x + 30) + (2020 - x) = 42

Simplify the right side.

-2x + 3930 = 42

Subtract 3930 from both sides.

-2x = -3888

Divide both sides by -2

x = 1944

1944 is Ms. Willow's birthday year.

As stated previously, her present age is 2020 - x, which equals 78

Ms. Willow is 78 years old

Here we want to interpret a word problem and transform it into an equation that we can solve.

We will find that her current age is 76.

First, let's define variables:

Her birth year = x

This year = 2021  (naturally this depends on the year we are on)

80th birth year = x + 80

30th birth year = x + 30

Then the actual age is the difference between the current year and the year when she was born:

Age = 2021 - x

What she says is:

"If you add the year of my birth to this​ year, subtract the year of my 80th birthday and the year of my 30th ​birthday, and then add my present​ age, the result is ​42."

(x + 2021) - (x + 80 + x + 30) + (2021 - x) = 42

Now we can solve this for x:

x + 2021 - x - 80 - x - 30 + 2021 - x  = 42

(x - x - x - x) + 2021 - 80 - 30 + 2021 = 42

-2*x + 3932 = 42

3932 - 42 = 2*x

3890 = 2*x

3890/2 = x = 1945

The current age is:

age = 2021 - x = 2021 - 1945 = 76

Her current age is 76.

If you want to learn more, you can read:

https://brainly.com/question/24595783

Answer:

See below

Step-by-step explanation:

Given fractions

To arrange the fractions we need to bring them to common denominator

In ascending order

Reverse order

Answer:

A.-9

C.5

D.7

Explanation:

Take every number and put it in the spot of x  and multiply every number by themselves  like 9x9 or  5x5. Then see if it is equal too or less than 81. If it is equal too or less than 81 then it is correct.

Could I please have BRAINLIEST?

Answer:

none is a solution...the solution.is -3

Answer:

The expression is  

[tex].\ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ B \   \ \ \ \ \ C \ \ \ \ \ T\\M = \left \  NYC} \atop {LA}} \right.  \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right][/tex]

Step-by-step explanation:

From the question we are told that

    The  number of each items made in the month of January[J] is  

   [tex].\ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ B \  \ \ \ \ C \ \ \ \ \ \ T\\J = \left \  NYC} \atop {LA}} \right.  \left[\begin{array}{ccc}{144}&{474 }&{274}\\{598}&{572}&{302}\\\end{array}\right][/tex]

The  number of each items made in the month of February[F] is  

 [tex].\ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ B \  \ \ \ \ C \ \ \ \ \ \ T\\J = \left \  NYC} \atop {LA}} \right.  \left[\begin{array}{ccc}{ 424}&{492}&{546}\\{596 }&{530}&{164}\\\end{array}\right][/tex]

Generally given that the production for March of all products at all locations was the average of the January and February production then the number of each items made in the month of March[M] is

    [tex].\ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ B \  \ \ \ \ \ \ \ \ \ \ \ \ C \ \ \ \ \ \ \ \ \ \ \ T\\M = \left \  NYC} \atop {LA}} \right.  \left[\begin{array}{ccc}{\frac{144 +424}{2}}&{\frac{474 +492}{2}}&{\frac{274 +546}{2}}\\{\frac{598 +596}{2}}&{\frac{572 +530}{2}}&{\frac{302+164}{2}}\\\end{array}\right][/tex]

=> [tex].\ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ B \   \ \ \ \ \ C \ \ \ \ \ T\\M = \left \  NYC} \atop {LA}} \right.  \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right][/tex]

Answer:

$264

Step-by-step explanation:

There is some useless information that you need to ignore. The only important numbers is 22 students that each paid $12, so multiply them together to get $264.

Answer:

528

Step-by-step explanation:

12*2=24

24*22=528

Answer:

22

Step-by-step explanation:

U should first multiply, then add, i.e.

4+18

=22

Answer:

3.7

Step-by-step explanation:

2r(pi)(∅/360)

2*3*(pi)*(70/360)

6*(pi)*(0.19444...)

3.665191429188092

3.7

Answer:

B - Taking the cube root of y

Step-by-step explanation:

Data provided in the question

y = ax^3

Based on the above information

Now we take the cube root of y

So, it would be calculated below:

y1/3 = a1/3 × x

So

As it can seen by the above equation there is a linear relationship between the cube root of y and x

Therefore, the correct option is B.

Hence, all the other options are wrong

Linearity is the concept used to describe linear relationships between variables.

The appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x

The function is given as:

[tex]\mathbf{y = ax^3}[/tex]

The function is a power function (i.e. cube of x)

To create linearity between power function, we simply take the logarithms of both variables

So, we have:

[tex]\mathbf{\log(y) = a\log(x^3)}[/tex]

Apply law of logarithm

[tex]\mathbf{\log(y) = 3a\log(x)}[/tex]

Hence, the appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x

Read more about linearity between variables at:

https://brainly.com/question/11496246

Complete Question

The complete question is shown on the first and second  uploaded image

Answer:

Part 1

 The correct option is  B

Part 11

   The correct option is  H

Step-by-step explanation:

From the question we are told that

     The sample size is  n  =  15

Generally the sample mean for the input temperature is mathematically represented as

        [tex]\= x _1 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _1 =  \frac{57.6 + 68.9 \cdots +60.4 }{15}[/tex]

      [tex]\= x _1 =  62.57 [/tex]

Generally the sample mean for the output temperature is mathematically represented as

        [tex]\= x _2 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _2 =  \frac{65.1 + 74.4 \cdots +67.3 }{15}[/tex]

      [tex]\= x _2 =  55.97 [/tex]

Generally the difference between the mean of the input temperature and that of the output temperature is

      [tex]d =  \= x_1 - \= x_2[/tex]

=>    [tex]d =  62.57 - 55.97 [/tex]

=>    [tex]d = 6.6[/tex]

Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as

     [tex]s_d  = \sqrt {\frac{1}{n-1 }  \sum [d_i - d]^2}[/tex]

=>   [tex]s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2  }{15-1} }[/tex]

=>   [tex]s_d = 1.732 [/tex]

The null hypothesis is  [tex]H_o  :  \mu_1 -\mu_2 =  6[/tex]

The alternative hypothesis is  [tex]H_a :  \mu _1 - \mu_2\ne 6[/tex]

Generally the test statistics is mathematically represented as

           [tex]t  =  \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }[/tex]

          [tex]t  =  \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }[/tex]

          [tex]t  =  1.342[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  2 *  P(t > 1.342)[/tex]

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of  df = n-1 =  15-1 = 14

       [tex]P(t >  1.342) =  t_{1.342 , 14} =  0.100478[/tex]

So    

     [tex]p-value  =  2 *   0.100478)[/tex]

     [tex]p-value  =  0.201[/tex]

From the values obtained we see that the [tex]p-value >  \alpha[/tex] hence the decision rule is  fail to reject the null hypothesis

The  conclusion is  

The cooling system changes the temperature of the water by 6 degrees.  

Answer:

0.1

Step-by-step explanation:

When rounding, look at whether or not the number is less than 5, or greater than or equal to 5.

If it is greater than 5, you will round up to the next number.

In this number, 8 is greater than 5. This means to the nearest tenth, it will be rounded to 0.1

Answer:

0.1

Step-by-step explanation:

0.087

The number to the right of the decimal is always the tenth's place. To the left of the decimal is the one's place 8 is a high number, so you are rounding up because 5 or higher is always a high number. If it was a low number, you  round down because a low number is 4 and under.

Hope this helps

Answer:

h+23=75

Step-by-step explanation:

This is true because x is basically h, and if its more then you add.

Answer:

-27

Step-by-step explanation:

[tex]( \sqrt{3} )^{4} - {6}^{2} \\ \\ = {3}^{2} - {6}^{2} \\ \\ = (3 + 6)(3 - 6) \\ \\ = 9( - 3) \\ \\ = - 27[/tex]

Answer:

x = 6, Y =7

Step-by-step explanation:

if you need explanation please ask in the comments .....I will edit the answer

Answer:

☆< 《HOPE IT WILL HELP YOU》>☆

Step-by-step explanation:

Y=1.5x+2

y=1.5 (1) +2

y=1.5+2

y=3.5

y=1.5(2)+2

y=3+2

y=5

y=1.5 (3)+2

y=4.5+2

y=6.5

y=1.5 (4)+2

y=6+2

y=8

y=1.5 (5)+2

y=7.5+2

y=9.5

Answer:

$25

Step-by-step explanation:

We express the interest rate r in decimal form, so we have r=36.5%=36.5100=0.365. We express the time t in years, so we have t=100365. The principal is P=250, so the interest is I=Prt=(250)(0.365)(100365)=$25. The interest earned is $25.

Answer:

280 cm

or 280cm^2

Step-by-step explanation:

Answer: 280 cm^3

Step-by-step explanation: Multiply 7 x 5 x 8 = 280

Step-by-step explanation:

This is the furthest I could get.

If you want to write it as a result with no powers, let me know and I will write it.