The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.

Answers

Answer 1

Answer: The numbers are:

965

875

785

695

Step-by-step explanation:

We have a 3 digit number that can be written as:

a*100 + b*10 + c

Where a, b, and c are single-digit numbers.

a is the hundreds

b is the tens

c is the unit.

We know that:

"The sum of the tens digit and the hundreds digit of a number is three times the units digit."

a + b = 3*c

" 1/5 of the sum of all three digits is 1 less than the units digit."

(a + b + c)/5 = c - 1

Then we have the two conditions:

a + b = 3*c

(a + b + c)/5 = c - 1

From the first one, we can write:

(a + b)/3 = c

Replacing that in the other equation we get:

(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1

(4/3)*(a + b)/5 = (a/3 + b/3) - 1

(4/15)*(a + b) = (a + b)/3 - 1

(4/15)*(a + b) - (a + b)/3 = - 1

-(1/15)*(a + b) = -1

a  = 15 - b

Then we can give different values for b, and find the values of a and c, where a and c must be positive.

b = 9

a = 15 - 9 = 6

Then:

c = (9 + 6)/3 = 5

(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).

This number will be:

695.

if b = 8, then:

a = 15 - 8 = 7

and c = 5, same as before.

the number is 785.

If b = 7, then:

a = 15 - 7 = 8

The number is 875

if b = 6, then:

a = 15 - 6 = 9

The number is:

965


Related Questions

please help!! :)

find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

7x12x13=1092

Step-by-step explanation:

Look at points C and D on the graph: HOW U PUT A PHOTO :=)

A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

1. 3.01 units.
2. 5.20 units.
3. 6.50 units.
4. 6.71 units.

Answers

Answer:

6.71

Step-by-step explanation:

If you want to put picture i would recommend using your phone to do it. :]

Answer: its 6.71

Step-by-step explanation:

Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum

Answers

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.​

Answers

Answer:

no, it is not

Step-by-step explanation:

STEP 1: Simplify (x−1)(x+2).

[tex]x^2+x-2=x+3[/tex]

STEP 2: Move all terms containing x to the left side of the equation.

[tex]x^2-2=3[/tex]

STEP 3: Move all terms not containing x to the right side of the equation.

[tex]x^2=5[/tex]

STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.

[tex]x=[/tex]±[tex]\sqrt{5}[/tex]

STEP 5: The complete solution is the result of both the positive and negative portions of the solution.

[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]

need help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-6x=64

Step-by-step explanation:

Answer:

64 -- 6 = x

( x equals 58 btw )

<3 Enjoy,

    Dea

A storage container for oil is in the shape of a cylinder with a diameter of 14ft and a height of 16ft. Which measurement is closest to the volume of the storage container in feet.

Answers

Answer:

the answer would be 1335.18

Step-by-step explanation:

Javed downloaded from the Internet two files that had a combined size of 696 megabytes. The size of the first file was
290 megabytes, and it took 5 minutes to download, Assuming that the files downloaded at a constant speed, how long
did it take for the second file to download?
2 minutes
4 minutes
7 minutes
12 minutes

Answers

The answer is C seven minutes

Answer:

c 7 mins

Step-by-step explanation:

A rectangular photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What is the perimeter, in inches, of the reduced picture?

Answers

16*0.75= 12 in
12*0.75=9 in
9+9+12+12=42 in
Answer: 42 in

In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?


Choose 1 answer:

A. Jean-Paul

B. Albert


Which friend's bank balance has a greater absolute value?

Choose 1 answer:

A. Jean-Paul

B. Albert

Answers

Hey Hey

Answer 1: Jean-Paul (A)
Answer 2: Albert (B)

Hope this helps <3

Answer 1 A
Answer 2 B

The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?

Answers

The measure of the supplement is 140
I think it’s 140 correct me if I’m wrong

PLS HELP I ONLY HAVE 30 MINS

Question 5 (4 points)
(04.02)

Determine whether the graph represents a proportional relationship. (4 points)

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.

a
Yes, it is a proportional relationship because the graph goes through the origin

b
Yes, it is a proportional relationship because the graph is a straight line

c
No, it is not a proportional relationship because the graph is not a straight line

d
No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

C. It is not proportional because it is not a straight line.

Step-by-step explanation:

You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.

------> The Answer Is C <------

Hope this helps have a good day :D

What is the answer to -7(-6)

Answers

Answer:

42

Step-by-step explanation:

Hope this helps and have a great day! :)

Answer: -7(-6) is 42

hope this helps :)

Step-by-step explanation:

when You multiply two negative numbers, the answer is positive.

Solve (x + 3)2 - 5 = 0 using the quadratic formula.
A) x= 3 + 15 , x= 3 - 15
OB) x= 3
C) x= -3
ODx= -3 + 15x= -3 - 15

Answers

Answer:

x=−3±√5

Decimal Form:

x=−0.76393202…,−5.23606797

So D would be your answer

Step-by-step explanation:

Which of the following is true? (1 point)

Question 19 options:

1)

|–8| < 6

2)

|–6| < |–8|

3)

|8| < |–6|

4)

|–6| < –8
PLS GOD HELP ME

Answers

2 is true since the absolute value of -6 is 6 and the absolute value of -8 is 8. The absolute value of a number will always be the number itself but positive. Also 6 is less than five which make this true.

Diana got 0.85 of the questions correct on her assessment. What fraction
represents the amount of questions she got incorrect?

Answers

Answer:

85100

Step-by-step explanation:

the decimal 0.85 can be converted to the fraction 85100 , by defintion of a decmial.

PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.

Answers

Answer:

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

Step-by-step explanation:

Lets solve the expressions one by one

1. 7-5

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

2. -7+5

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

3. -7-5

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

4. 7-(-5)

When minus is multiplied with minus it converts to positive

So

[tex]= 7-(-5) = 7+5 = 12[/tex]

Hence,

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

2x+3y
help me please

Answers

Answer:

2 x + 3 y

Step-by-step explanation:

help i give brainliest

Answers

Answer:

y = 11-x

y = 2x-1

Step-by-step explanation:

Let x and y be the two numbers

x+y = 11

y = 2x-1

Solving the first equation for y

y = 11-x

Answer:

Im their friend so i'ma just take the pts (cuz i need them)

Step-by-step explanation:

Thx

(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many

Answers

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

A 6 pack of batteries cost $7.80. How much is 1 battery?​

Answers

Answer:

$1.30

Step-by-step explanation:

divide the cost by 6 and you get 1.3 so 1 battery=1.30

Answer:

Each battery would cost 1.30

Step-by-step explanation:

7.80 divided by 6 equals 1.3

Another way to find the answer would be

1.3x6

or

1.3+1.3+1.3+1.3+1.3+1.3

Three apples (x) plus two
oranges (y) costs $16.
Five apples plus two
oranges costs $24. Hov
muon do each apples and
oranges cost?

Answers

Apple=4 Orange=2 hope I helped!!!

I really need help!
Write the equation of the line with the given slope which passes through the given point.Please show work.
m = 3 (2, -3)

Answers

It might be 4 sorry if I’m wrong

Use the Venn diagram below. How many students play soccer and baseball, but not volleyball? How many play exactly two sports?
Soccer
Baseball
7
3
8
4
2
5
Volleyball
A 3; 12
B. 3: 14
C. 5:14

Answers

Answer:

A. 3;12

Step-by-step explanation:

in the crossover between the baseball section and the soccer section it shows 3 people who play those two sports. those crossovers are with people who play exactly 2 sports, if you add them all 3+5+4 you get 12 people who play only 2 sports.

Simplify 18 - 6x + 5x - 11

Answers

Answer:

7-x

Step-by-step explanation:

18-11=7

-6x+5x=-x

therefore, the answer is 7-x

The solution of the expression is,

⇒ - x + 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 18 - 6x + 5x - 11

Now, We can solve the expression as;

⇒ 18 - 6x + 5x - 11

Rearrange as;

⇒ - 6x + 5x + 18 - 11

Combine like term as;

⇒ - x + 7

Thus, The solution of the expression is,

⇒ - x + 7

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Alexa bought 25 pounds of turkey for $26.25. What is the cost per
pound?

Answers

Answer:

$1.05 Per Pound

Step-by-step explanation:

Answer: $1.05/pound

Step-by-step explanation:

$26.25 / 25 = $1.05

ples halp ples tysm....

Answers

10

Edge 2020-2021 how is everyone’s day

Watch help video
If using the method of completing the square to solve the quadratic equation
X2 – 9x + 38 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

hope this help

but this is little info dont worry i will answer your question just in a minute

Step-by-step explanation:

How do solve this problem?
find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form. line 2x + 5y= -10 point (10, 4)

Answers

Answer:

y=-2/5x+8

Step-by-step explanation:

Step 1: Begin by changing the equation into slope-intercept form. Subtract 2x to both sides to get 5y=-10-2x. Divide 5 to both sides to isolate the variable, y. You should get y=-2/5x-2.

Step 2: Because we are looking for a line parallel to the given line, the slope should be the same, but the y-intercept should be different. Remove -2 to replace it with b, so it's unknown. The equation should be y=-2/5x+b. Plug in the ordered pair, (10, 4), into the equation to get 4=-2/5(10)+b. Multiply -2/5 and 10 to get -4. Add -4 to both sides and b=8. Plug in 8 and your final equation should be y=-2/5x+8.

HELP^^^ ITS 7TH GRADE MATH

Answers

Answer:

13

Step-by-step explanation:

count outside lines

Answer:

Perimeter: 13

HELPPPP PLEASSSSEEEiffgxhxgxgkxgjxgxutx

Answers

(1,-3) i think it’s correct
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