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SashulF [63]
1 year ago
10

question 2 57.55 in base 10 equals in base 2? (provide exactly 6 binary digits to the right of the decimal)

Mathematics
1 answer:
erastovalidia [21]1 year ago
7 0

57.55 in base 10 equal in base 2 is 57.55₁₀ = 111001.10001100110₂

Base 10:

It refers the decimal number system.

A number system which uses digits from 0 to 9 to represent a number.

Base 2:

It refers the Binary number system.

A binary number is defined as a number that is expressed in the binary system or base 2 numeral system. It describes numeric values by two separate symbols; 1 (one) and 0 (zero).

Given,

The base 10 number = 57.55

Now we have to convert it into base 2,

So, the conversion will follow the following step in image 1.

Write the Remainders from bottom to top

So, 57₁₀=111001₂

For Decimal Numbers

Refer image 2,

Write the Integer part from top to bottom

55₁₀ = 10001100110₂

Therefore,

57.55₁₀ = 111001.10001100110₂

To know more about Base 10 to base 2 conversion here

brainly.com/question/13384891

#SPJ4

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Find the value of x <br>​
den301095 [7]

x = 20 is the answer.

<u>Step-by-step explanation:</u>

When a parallel lines cut by a transversal, then the alternate exterior angles are congruent.

So the given 2 angles add up to 180 degrees.

5x+ 9 + 3x+ 11 = 180

8x + 20 = 180

8x = 180 - 20 = 160

  x = 160/8 = 20

5 0
3 years ago
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
Nezavi [6.7K]

Answer: A. 85.7

Step-by-step explanation:

Given : Two sections of a class took the same quiz.

Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.

We know that  , \text{Mean}=\dfrac{\text{Sum of observations}}{\text{No. of observations}}

Then , for section A :

\text{Mean score }=\dfrac{\text{Sum of scores in sec A}}{\text{No. of students}}

\Rightarrow\ 80=\dfrac{\text{Sum of scores in sec A}}{15}\\\\\Rightarrow\ \text{Sum of scores in sec A}=80\times15=1200

Similarly in Section B, \text{Sum of scores in sec B}=90\times20=1800

Total scores = Sum of scores in sec A+Sum of scores in sec B

=1200+1800=3000

Total students = Students in sec A +Students in sec B

=15+20=35

Now , the mean score for all of the students on the quiz =\dfrac{\text{Total score}}{\text{Total students}}

=\dfrac{3000}{35}=85.7142857143\approx85.7

Hence, the approximate mean score for all of the students on the quiz = 85.7

Thus , the correct answer is option A. 85.7.

7 0
2 years ago
Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)
AlekseyPX

Answer:

The approximate solution to the system is (-2.7, 2.1).

Step-by-step explanation:

To solve the system of equations \begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix} you must:

\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}

\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7

\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1

The approximate solutions to the system of equations are:

x=-2.7 ,\:y=2.1

5 0
3 years ago
Read 2 more answers
Helppppp pleaseeee!!!!
Airida [17]
It’s -2 for the first box and then 3
7 0
2 years ago
Find the algebraic expression for the word phrase 7 less than p
Doss [256]
So we need have to understand that if we were to solve this, our answer would be 7 less than 'p' with that information we get p-7.
8 0
2 years ago
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