1.a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reversed number. Find the number.
b.)Eight times the sum of the digits of a certain two-digit number exceeds this number by 19. The tens digit is two less than the units digit. Find the number.
c.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number.
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Answers

Answer 1
Answer: x: the unit digit
y: the tens digit

The unit digit is twice the tens digit so:
x=2y

The two digit number:
10y+x

The two digit number doubled:
2(10y+x)

The reversed number:
10x+y

So:
2(10y+x)=10x+y+12

substitute x for 2y

2(10y+2y)=10(2y)+y+12

24y=21y + 12

3y=12
y=4

x=2y=2*4=8

So the number is 48.
Answer 2
Answer: xy is the number


a.
unit digit is y
tens is x
units is twice tens digit
y=2x
if it is doubled, it will be 12 more than reversed
20x+2y=12+10y+x
20x+4x=12+20x+x
3x=12
x=4
y=2x
y=2(4)
y=8
48 is the number




b. 8 times sum of digis is bigger than that number by 19
8(x+y)=19+10x+y
x=y-2

8(y-2+y)=19+10(y-2)+y
16y-16=19+10-20+y
y=3
x=y-2
x=3-2
x=1
the number is 13


c.
y=2x
2(10x+y)=9+10y+x
2(10x+2x)=9+20x+x
x=3
y=2x
y=3(3)
y=6

the number is 36



a. 48
b. 13
c. 36

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List the first twenty counting numbers in base seven? (only digits 0 thru 6 are used in base 7)

Answers

The correct answer is:


1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26.


Explanation:


The base 7 number system has digits 0 through 6.


When we start counting, we start with 1. In base 7, we would be able to go from 1 to 6, just as in base 10. However, in base 7, after we reach 6, we would hit 2 digits; instead of 7, the next number would be 10.


We would then count from 10 to 16. After we reach 16, instead of 17, we go to 20 and count from 20 to 26.

So the question ask to list the first twenty counting numbers in base seven and the best answer would be 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16 , 20 ,21, 22, 23, 24, 25, 26, 30, 31, 32, 33, 34, 35, 36, 40, 41. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification about the said question 

there are 94 suitcases in number one cargo bin. there are two cargo bins to be loaded on the airplane. the second bin contains 214 suitcases and the third 103 suitcases. if all three of these cargo bins are loaded onto the 747 airplane,how many total suitcases will be in the cargo area?

Answers

isnt it simple addition? i'm aint sure because i'm french but if i understand well, it suppose to be 411

Final answer:

The total suitcases in all three cargo bins, when added up (94 + 214 + 103), equals 411. Consequently, there will be 411 suitcases in the cargo area of the 747 airplane.

Explanation:

Total suitcase calculation involves simply adding up the numbers from all three cargo bins. The first bin contains

94 suitcases, the second bin 214 suitcases, and the third contains 103 suitcases. Adding all these up gives a total suitcase number as follows: 94 + 214 + 103 = 411. Therefore, if all these cargo bins are loaded onto the 747 airplane, here will be 411 suitcases in the cargo area.

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57 61 50 54 54 54 56 54 61 54 48 49 42 51 61 57 68 65 50 51 60 52 57 51 52 47 56 62 69 58 49 56 55 55 43 64 57 64 46 55 51 55 46

Answers

What exactly is the question?

Answer:

What is the question

Step-by-step explanation: 23 45 67 89 90 78 56 45 67 54 34 43 21 212 12 34 5 6 80 90 87 65 56 78 78 98 89 28 92 19 10 20 30 40 50 60 70 80 90 100 10 9 8 7 6 5 4 3 2 1

Good luck

-2 (x+11)= -2x-22 name the property of real number illustrated by the equation

Answers

Final answer:

The property of real numbers represented by the equation -2(x+11) = -2x-22 is the Distributive Property, which defines that a(b + c) = ab + ac handling multiplication and addition/subtraction.

Explanation:

The property of real numbers illustrated by this given equation -2(x+11)=-2x-22 is known as the Distributive Property. The Distributive Property can be defined as a(b + c) = ab + ac.

Applying this property to the equation, -2 is multiplied by each term inside the parentheses (x and 11), resulting in -2x-22, which matches the right side of the original equation.

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Distributive property
-2(x+11)=-2x-22
-2 times X
-2 times 11

A and b have the same direction, and they both have a magnitude of 6. What must be true about a and b ? a. They are equal and parallel.
b. They are opposites, but not parallel.
c. They are opposites and parallel.
d. They are equal, but not parallel.

Answers

Answer: Option a

They are equal and parallel

Step-by-step explanation:

If a and b have the same direction then necessarily a and b are parallel.

We know that they also have the same magnitude.

Two vectors are equal if they have the same magnitude and direction.

Then we can say that a and b are equal and we can also say that they are parallel.

Therefore the correct option is the option a

Answer:

A

Step-by-step explanation:

Edge2021

In order to go to college, Hank goes from working full-time making $28,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000. If Hank makes $33,000 per year after getting his degree, approximately how many years will it take him to recover his investment?

Answers

The correct answer is:

6.6 years.

Explanation:

Since he goes from making $28,000 per year to $14,000 per year, he will lose $14,000 each year that he works part-time. He intends to do this for 2 years; this will be a loss of $14000(2) = $28,000.

We will add the cost of his degree to this: 28,000+5,000 = $33,000.

He will be making $33,000 per year when he graduates. This is 33000-28000 = 5000 more per year than he made before.

To find out how many years it will take him to recover his investment, we divide the amount he loses, 33,000, by the extra amount he will make per year, 5000:

33000/5000 = 6.6

Answer: C 6.6 years

Step-by-step explanation: edge 2022