Each of the following statements is correct in at least one number system. That is, the statement is correct if we assume the numbers are expressed in a base other than 10. It is up to you to find out which number base makes each statement correct. You need to justify your answer by converting the numbers in each operation to base 10 and showing that the statement is correct. For example, 36/6 = 7 is clearly not correct in base 10, but it is correct in base 12 because 3612 = 4210 and 4210/610 = 710.
Thus, 3612/612 = 712 is true.
a) 42/3 = 13
b) 23 + 44 + 14 + 32 = 223

Answers

Answer 1

Answer:

(a) Base 7

(b) Base 5

Step-by-step explanation:

(a) 42/3 = 13 testing base 7 we have:

4x7¹ + 2x7° = 28 + 2 = 30

3x7° = 3

1x7¹ + 3x7° = 7 + 3 = 10

30/3 = 10. Therefore, 42/3 = 13 is in base 7.

(b) 23 + 44 + 14 + 32 = 223. Testing base 5 we have:

2x5¹ + 3x5° = 10 + 3 = 13

4x5¹ + 4x5° = 20 + 4 = 24

1x5¹ + 4x5° = 5 + 4 = 9

3x5¹ + 2x5° = 15 + 2 = 17

2x5² + 2x5¹ + 3x5° = 50 + 10 + 3 = 63

13+24+9+17 = 63.

Therefore, it was done in base 5.


Related Questions

Given the points M(−6,−4) and T(9,16) find the y-coordinate of the point Q on the directed line segment MT so that MQ:QT=2:3

Answers

Given the coordinates M (-6, -4) and T (9, 16)

If the coordinates are divided in the ratio 2:3 then a = 2, b = 3

The y coordinate of the point Q will be expressed as;

Y = ay1+by2/a+b

From the coordinates, y1 = -4 y2 = 16

Y = 2(-4)+3(16)/2+3

Y = -8+48/5

Y = 40/5

Y = 8

Hence the y-coordinate of the point Q is 8

Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the difference in something being unlikely, likely, certain, and equally likely to happen. Write 3-5 Sentences

Answers

Answer:

Nearly every day you use probability to plan around the weather. Meteorologists can't predict exactly what the weather will be. So they use tools and instruments to determine the likelihood that it will rain, snow or hail.

Step-by-step explanation:

Charlotte is getting balloons for a birthday she wants each ballon string to be 12 feet long if Charlotte wants 48 balloons how manny yards of string will she need ​

Answers

Answer:

576

Step-by-step explanation:

multiply 48 by 12 and I got 576

Can someone help please?

Answers

Answer:

2

mark me as brainliest..........

Answer:

2

Step-by-step explanation:

since they are similar

they will be divided by 9 for example

we have 54 on the left but if you divide it by 9 we get 6 which is on the right

then we have 27 on the left if you divide by 9 we get 3 which is on the right

so then we have 18 and a missing number

so we divide 18/9 and get 2

please help, geometry!!

Answers

Answer:

(-5,3)

Step-by-step explanation:

The point (5,7) translated down 4 units gets to the point (5,3). If you reflect it over the y-axis, the x-coordinate becomes negative, and the y-coordinate stays the same. This gets you the point (-5,3)

Hope it helps and is correct!

(-4, 5) is the answer


PLEASEEE HURRY

What is the rate of change?
Equation that describes function?
Linear or non linear?

Answers

Answer:

can you tell me the grade so I can help you please

It is -1+3 if I’m correct

Jason is buying a car priced at $15,000 that requires a down payment of 15 percent. How
much money does he need to come up with?

Answers

Answer:

12,750

hope this helped :)

This is so important please help

Answers

Given:

The center of the circle = (-1,0)

Point on the circle = (2,-4).

To find:

The equation of the circle.

Solution:

Distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.

[tex]r=\sqrt{(2-(-1))^2+(-4-0)^2}[/tex]

[tex]r=\sqrt{(2+1)^2+(-4)^2}[/tex]

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

On further simplification, we get

[tex]r=\sqrt{9+16}[/tex]

[tex]r=\sqrt{25}[/tex]

[tex]r=5[/tex]

Now, the equation of the circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center and r is the radius of the circle.

The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is

[tex](x-(-1))^2+(y-0)^2=5^2[/tex]

[tex](x+1)^2+y^2=25[/tex]

Therefore, the first option is correct, i.e., [tex](x+1)^2+y^2=25[/tex].

Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?

Answers

Answer:

T = 2.5

Step-by-step explanation:

Hope this helps!

Answer:

T >2.5

Step-by-step explanation:

y+6=-2/5(x+9) how do you graph it in linear function?​

Answers

like this...

Hope I helped you!Success!

PLEASE HELP! ASAP PLEASE

Answers

Answer:

x = 45

Step-by-step explanation:

x = (360 - 135 * 2) / 2

x = (360 - 270) / 2

x = 90 / 2

x = 45

the answer is x=45*.

Find x in the right triangle (I don’t even know if it’s a right triangle I just need this too be 20* characters)

Answers

Answer:

65

Step-by-step explanation:

Answer: 65

Step-by-step explanation:

68 + 47 = 115  

180 - 115 = 65

relay race is 1 4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer.

Answers

Answer:

7/20

Step-by-step explanation:

I did the work but Im not sure if this is right i just need points to ask my question. But what i did was i did 14 divided by 4=3.5, then moved the decimal in front of the 3 to make .35 then turned that into a fraction 7/20. AGAIN I DONT KNOW IF ITS RIGHT DONT BLAME ME IF ITS NOT

What's is 20% of 62?

Helpppp

Answers

Your answer is 12.4 hope this helps

Answer:

12.4

Step-by-step explanation:

just multiply, or search go.ogle

0.2 * 62 = 12.4

easy

Easy work! Please click on the photo and do 5. 10. 14. And 16.Also it’s is easy but only for other people not me just for people asking.

Answers

Answer: the 1 is > the one below it is < the one next to it unknown

and the one next to it is > and the last one is =

branliyist please

Step-by-step explanation:

One yard is 36 inches. how many inches is 2/3 of a yard?

Answers

Answer:

24

Step-by-step explanation:

Haven’t done geometry in a good while

Answers

The answer to the question is d
D if I had to pick a answer

Find the following amount What is 25% of 4

Answers

Answer:

1

Step-by-step explanation:

Answer 1

Step-by-step explanation:

Divide 4 1/2 by the following unit fractions.

1/8

Answers

Answer:

The answer is 36

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

92÷18

Applying the fractions formula for division,

=9×82×1

=722

Simplifying 72/2, the answer is

=36

The difference of the reciprocal of a number and 7/104 is 3/52 find the number

Answers

Answer:

Step-by-step explanation:

1/x - 7/104 = 3/52

1/x = 6/104 + 7/104 = 13/104

104/13 = x

what is 23 450 + 52 704 to the nearest 100?​

Answers

Answer:

76,200

Step-by-step explanation:

Determine whether the two expressions are equivalent. If so, tell
what property is applied. If not, explain why.
5 x ( 6 x 3 ) and ( 5 x 6 ) x 3

Answers

Answer:

Yes,  they are equivalent.

Step-by-step explanation:

5*(6*3) equals 90.

(5*6)*3 also equals 90.

When multiplying and adding, it doesn't matter where you place the numbers, they still equal the same. If you look at the two problems you see they are the same numbers, just in different places.

Find the midpoint of the line segment with these endpoints: (-3,-8), (9,3)

Answers

Answer:

Step-by-step explanation:

(3,-5/2)

The midpoint of the line segment with these endpoints (-3, -8) and (9, 3) will be (0, 0.5).

What is the mid-point of the line segment?

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints of the line segment are given below.

(-3, -8) and (9, 3)

The midpoint of the line segment is calculated as,

(x, y) = [(-3 + 3) / 2, (-8 + 9)/ 2]

(x, y) = (0/2, 1/2)

(x, y) = (0, 0.5)

The midpoint of the line fragment with these endpoints (- 3, - 8) and (9, 3) will be (0, 0.5).

More about the mid-point of the line segment link is given below.

https://brainly.com/question/17188072

#SPJ2

please help me please i really need help please

Answers

Answer:

-5a+3b

Step-by-step explanation:

3a+2b-8a+b=3a-8a+2b+b=-5a+3b

Answer:

-5a+3b

Step-by-step explanation:

1. Re-write the numbers next to their common variables 3a-8a+2b+b

Then add!

What is 4/3 as a mixed number?

Answers

Answer:

1 1/3

Step-by-step explanation:

Answer:

1 1/3 !

Step-by-step explanation:

3/3 is one whole, so 4/3 is one whole plus 1/3 !! (1 1/3 !!)

i hope this helps !

I need the answer to this problem please

Answers

20x + 12y there is the answer to 1 Yw

Let f(x) = x2 and g(x) = x -4. Find (fog)(-1).

Answers

(f  o g)(x) = f (g (x)) = f (x - 4) = (x - 4)²

→   (f  o g)(-1) = (-1 - 4)² = (-5)² = 25

Help me i will give best answer to correct answer.

Answers

Answer:

x=3 and y=3

Step-by-step explanation:

Mr Smith has $109 to spend in parking and admission to the zoo. the parking is $7 and admission is $15.50 per person including tax. write and solve equation to determine the number of people he can bring to the zoo​

Answers

Answer:

He can bring 6 people to the zoo.

Step-by-step explanation:

7 + 15.50x = 109

subtract 7 from both sides

15.50x = 102

divide by 15.50 on both sides

x = 6.58064516129 = 6 people

solve each proportion algebraically. show your work. 6.1/x = 2/3​

Answers

Answer:

x = 9.15

Step-by-step explanation:

6.1/x = 2/3

multiply both sides by x and 3

3(6.1) = 2x

2x = 18.3

divide both sides by 2

x = 9.15

Answer:

x=9.15

Step-by-step explanation:

6.1 x 3= X times 2

18.3 = X times 2

X times 2 =18.3

(X times 2) divided by 2 = 18.3/2

which gives the answer

x=9.15

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