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

Answer:

Math sections = 20

English sections = 16

Philosophy sections = 8

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of Math sections.

y is the number of English sections.

z is the number of Philosophy sections.

Available classrooms limit the total sections of all three courses to 44.

This means that [tex]x + y + z = 44[/tex]

4 less English sections than Math sections.

This means that [tex]y = x - 4[/tex]

In any quarter student demand for the optional Philosophy course is half as many sections as English sections.

This means that [tex]z = \frac{y}{2} = \frac{x - 4}{2}[/tex]

Finding the number of Math sections:

We have both y and z as functions of x. So

[tex]x + y + z = 44[/tex]

[tex]x + x - 4 + \frac{x-4}{2} = 44[/tex]

[tex]2x + \frac{x-4}{2} = 48[/tex]

Multiplying everything by 2

[tex]4x + x - 4 = 96[/tex]

[tex]5x = 100[/tex]

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20[/tex]

Then

[tex]y = x - 4 = 20 - 4 = 16[/tex]

[tex]z = \frac{y}{2} = \frac{16}{2} = 8[/tex]. So

Math sections = 20

English sections = 16

Philosophy sections = 8

Answer:

huh????

Step-by-step explanation:

Answer:

cool. i like cookies.

Answer:

D= 110,400

Step-by-step explanation:

$48,000 is what she made last month and needs to make 230% more which you can think as a decimal of 2.30

so then you do 48,000*2.30= $110,400

Answer:

187

Step-by-step explanation:

10*4=40

40+147=187

Answer:

251

Step-by-step explanation:

x=4

104 +147=251

Answer:

4, ∛64, -∛64

explanation:

they all mean the same thing

The expression [tex]y^{3} = 64[/tex] can be written as :[tex]y= \sqrt[3]{64}[/tex] or y= 4

The correct option is (II) and (VI)

The cube root of a number is the factor that we multiply by itself three times to get that number.

We have given that:

[tex]y^{3} = 64[/tex]

 we can write it as:

[tex]y= \sqrt[3]{64}[/tex]

y = [tex]\sqrt{4*4*4}[/tex]

y= 4

The answer is : [tex]y^{3} = 64[/tex]

[tex]y= \sqrt[3]{64}[/tex] or y= 4

Learn more cube root here:

https://brainly.com/question/12726345

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Answer:

-6a-48

Step-by-step explanation:

Answer:

-6a - 48

Step-by-step explanation:

distribute

-6 x a = -6a

-6 x 8 = -48

put the answer together

-6a - 48

Answer:

c

Step-by-step explanation:

Answer:

problem

confusion

Step-by-step explanation:

hope it helps

Answer

problem and confusion

Step-by-step explanation:

I took the test and this is the correct answer

tell me if it is wrong :)

Answer:

you would expect to get 100-200 even numbers. but if u want an exact answer it would be 150 times.

Step-by-step explanation:

there are 5 even and odd numbers. so a 1/2 chance. and 1/2 of 300 is 150

Answer: A

Step-by-step explanation:

Answer:

5) The third side must be more than 4 and less than 14.

6) The third side must be more than 3 and less than 13.

Step-by-step explanation:

The third side must be more than the difference and less than the sum of the two numbers.

5) 9-5=4

9+5=14

So the third side must be more than 4 and less than 14.

6) 8-5=3

8+5=13

So the third side must be more than 3 and less than 13.

Answer:

The trapezoid is D

Step-by-step explanation:

I learned this in 3rd grade

Answer:

C.8/1125 is the answer......

Answer:

15

Step-by-step explanation:

Answer:

The population of California is [tex]3.3216 * 10^{7}[/tex] more than the population of Wyoming.

Alternatively, the population of California is [tex]6.64 * 10^{1}[/tex] times the population of Wyoming.

Step-by-step explanation:

The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.

Not that we've done that, let's start with the first part of the problem.

"The population of California is __________ more than the population of Wyoming."

This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.

[tex]38,800,000 - 584,000 = 38,216,000.[/tex]

Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:

[tex]3.8216 * 10^{7} .[/tex]

Now for the second part.

"Alternatively, the population of California is _________ times the population of Wyoming."

This is a problem of division. The question is asking us to divide California's population by Wyoming's population.

[tex]\frac{38,800,000}{584,000} = 0.664383562 * 10^{2} .[/tex]

We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:

[tex]6.64 * 10^{1}.[/tex]

So, the answer to the question is:

1. [tex]3.8216 * 10^{7}.[/tex]

2. [tex]6.64 * 10^{1}.[/tex]

Hope this helped you, and I hope you get a perfect score!! :)

Answer:

The population of California is ( 3.8216 x 10⁶ ) more than the population of Wyoming.

Alternatively, the population of California is ( 6.64 x 10¹ ) times the population of Wyoming.

Step-by-step explanation:

I'm pretty sure this is what the other person was trying to say it was just very confusing.

Anyway I got this right on my mastery test.

so thx for the points

Answer:

27

Step-by-step explanation:

The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.

Answer:

y=3x-24

Step-by-step explanation:

Answer:

(2x-1)(2x+1)

Step-by-step explanation:

the answer is c

The option that does not describe an advantage of wind power is Wind turbines cause little disruption of ecosystems.​

Wind power is defined as the process by which the wind is utilized to generate mechanical power or electricity.

Wind power is the most sustainable, and renewable energy source which has a much smaller harmful influence on the environment as compared to the burning of fuels.

This is an environmentally friendly mechanism for synthesizing energy and electricity.

Wind turbines are not placed in large bodies of water that turbines are on land for the production of electricity.

Therefore, the option is Wind turbines cause little disruption of ecosystems.​

To learn more about Wind power, refer to the link:

brainly.com/question/2031508

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Answer:

210

Step-by-step explanation:

35x3x2=210

Step-by-step explanation:

5x - 5° = 40° ( being vertically opposite angles)

5x = 40° + 5°

5x = 45°

x = 45°/ 5

x = 9°

Now

< 1 = 5 * 9° - 5 = 45° - 5° = 40°

Hope it will help :)

Answer:

38

Step-by-step explanation:

V = 4/3 (pie) r(cube)

V = 4/3 (3.14) 3(cube)

V = 4/3 (3.14) (9)

V = 4/3 (28.26)

V = 37.68

V = 38 (Rounded up)

Answer:

No

Step-by-step explanation:

A package has 6 cookies for $2.49

Ms. Morgan has 19 students. She wants to give each student 2 cookies, which means each package is enough for 3 students.

19 students × 2 cookies = 38 cookies is what you need

7 packages times $2.49 = $17.43

7 packages × 6 cookies = 42 cookies

42 cookies ÷ 19 students = 2.21 cookies for each student

Answer:

$10.88

Step-by-step explanation:

1. Find the cost of each bag

8.16/6 = $1.36

2. Then muti the cost of each bad with the ammount you are buying

1.36(8) = $10.88

Answer:

Increasing : -10<x<-8, -2<x<0

Decreasing : 3<x<7

Neither Increasing or Decreasing : -8<x<-5, 8<x<10

Step-by-step explanation:

this is 100% correct. please mark me brainliest!

Answer:

0.2

Step-by-step explanation:

Sorry i dk how to explain it

Answer: A (1:2)

Step-by-step explanation:

Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.

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