Clue #1: The sum of the digits of a 3 digit number is 20. Clue #2: The tens digit is 2 less than the hundreds digit. Clue #3: The units digit is 12 less than the sum of the other two digits What is the 3 digit number, show or explain how you solved the problem. Help me! Please show work

Answers

Answer 1

Answer: The number is 974

Step-by-step explanation:

First, any 3 digit number can be written as:

N = a*100 + b*10 + c

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

a is the hundreds digit

b is the tens digit

c is the unit digit

We can write the clues as:

#1: a + b + c = 20

#2: b = a - 2

#3: c = a + b - 12

Then we have a system of equations:

a + b + c = 20

b = a - 2

c = a + b - 12

To solve this, we need to isolate one of the variables in one equation and then replace this in the other equations, we can see that b is already isolated in the second equation, then we can replace that in the first and third equations:

a + (a - 2) + c = 20

c = a + (a - 2) - 12

Now we can see that c is isolated in the second equation, then we can replace that in the first one to get:

a + (a - 2) + (a + (a - 2) - 12) = 20

Now we can solve this for a:

a + a - 2 + a + a -2 - 12 = 20

4*a - 16 = 20

4*a = 20 + 16

4*a = 36

a = 36/4 = 9

With this, we can find the values of b and c.

b = a - 2 = 9 - 2 = 7

c = a + b - 12 = 9 + 7 - 12 = 4

Then the 3-digit number is:

N = a*100 + b*10 + c = 9*100 + 7*10 + 4 = 974

N = 974


Related Questions

Please help me with this it’s 8 grade

Answers

Answer:

The correct answer is option B.

Step-by-step explanation:

Hi.I don't know why I am not getting any brainliest answer and if you are kind enough could you please mark me as the brainliest answer and please follow me also.

Hey the answer is number B and I really need some points so if you be so kind, please mark me as brainliest because I’m rushing to find the answer to my own question by sending out like 100 of the same question, and I need points.

pls help!!!
A diagram using arrows to show how to get from one statement to the next is called a _________.

Answers

Step-by-step explanation:

an arrows digram also known as an activity networkchart he

Answer:

auxiliary line

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!

Answers

Hello i hope this helps but the answer would be D

Mrs. Villa bought 2 packages of buttons. Each package had a different number of buttons. The table lists the number of buttons of each color in each package.​

Answers

Answer:

B

Step-by-step explanation:

By applying basic formula of probability we got that statement  "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True

What is probability ?

Probability means chances of  an event to occur .

Probability = favourable outcome /the total number of possible outcomes.

Total button in package L= 50

Total button in package M= 30

(a)

Probability of selecting green or black button from package L= (8+7)/50

=15/50=3/10

Probability of selecting red  button from package M=9/30 = 3/10

Hence statement is true

(b)

Probability of selecting black button from package L= 7/50

Probability of selecting black button from package L=8/50

Hence statement is false

(c)

Probability of selecting red button from package L=12/50=6/25

Probability of selecting green button from package M=6/30=1/5

Hence statement is false

(d) Probability of selecting yellow button from package L=10/50=1/5

Probability of selecting yellow or green button from package M=9/30=3/10

Hence statement is false .

By applying basic formula of probability we got that statement  "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True .

To learn more about probability visit : brainly.com/question/24756209

Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary

Answers

Answer:

40 degrees

Step-by-step explanation:

360/9=40

The solution is 40°

The measure of one exterior angle of a nonagon is is given by the equation A = 360°/9 and the measure of A is 40°

What is the sum of an exterior angle of a polygon?

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line

Sum of exterior angles of a polygon = 360°

Measure of each exterior angle = 360° / N

where N is the number of sides

Given data ,

Let the measure of each exterior angle be = A

Let the number of sides of the polygon be = N

Now , the polygon is a nonagon

So , the number of sides N = 9

Now , The sum of exterior angles of a polygon is 360°

So ,

The measure of each exterior angle is given by the equation  360° / N where N is the number of sides

Substitute the value for N in the equation , we get

The measure of each exterior angle = 360°/9

The measure of each exterior angle = 40°

Therefore , the value of A is 40°

Hence , the measure of each exterior angle is 40°

To learn more about exterior angles of polygon click :

https://brainly.com/question/29077760

#SPJ2

Which of the following pairs of points are on the same horizontal line?

A(–2, –2) and (2, 2)
B(–2, 2) and (–2, –2)
C(–2, –2) and (2, –2)
D(2, –2) and (2, 2)

Answers

Answer:

d answer is right .....

the answer is A.

(-2, -2) and (2,2)

solve pls will give brainliest

Answers

Its 24

I think all you have to do is just add 16 plus 8 to that question

What sentence represents the number of points in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice question points plus the number of
short-answer question points is 25.
B. The number of multiple-choice question points plus the number
of short-answer question points is 25.
C. The number of multiple-choice question points times the number
of short-answer question points is 80.
D. The number of multiple-choice question points plus the number of
short-answer question points is 80.

Answers

Answer:

Option D: The number of multiple-choice question points plus the number of  short-answer question points is 80 is the correct answer.

Step-by-step explanation:

Given that:

Points worth of test = 80 points

There are Multiple choice questions worth 2 points and short answer questions worth 4 points.

2x+4y=80

Thus,

The number of multiple choice questions points plus the number of short answer question points is 80.

Hence,

Option D: The number of multiple-choice question points plus the number of  short-answer question points is 80 is the correct answer.

PLEASE HELP!
functions:
w(x)=-2x+12
m(x)=1/2x-4
find m(2w(x))

Answers

Answer:12

Step-by-step explanation:

Write the equation of the line

Answers

Answer:

The equation of the line is

[tex]y = \frac{1}{3}x - 2[/tex]

Step-by-step explanation:

Remember:

[tex]slope = \frac{rise}{run} [/tex]

How do you do division on your own also I just never learned sorry​

Answers

Answer: Step 1: D for Divide. How many times will 5 go into 65? ...

Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. ...

Step 3: S for Subtract. Next you subtract. ...

Step 4: B for Bring down. ...

Step 1: D for Divide. ...

Step 2: M for Multiply. ...

Step 3: S for Subtract.

Step-by-step explanation:

Answer:

its like mutipying backwards so like 12 divided by 6 is 2 or 4 divided by 1 is 4

A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs

$1.56
$2.19
$7.80
$4.68

Answers

to buy 3 packs, the cost would be $4.68

What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}

Answers

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

Write an equation in point-slope form for the line through the given point with the given slope
(8,-3);m= -1/4

Answers

Answer: y+3= -1/4(x-8)

Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation

please help ill give brainleist
What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?

Answers

Answer:

An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

[tex]y=-6x+7[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the equation

[tex]6x+y=6[/tex]

Writing in the slope-intercept form of the line equation

[tex]y = -6x + 6[/tex]

comparing with the slope-intercept form of the line equation

y = mx+b

Thus, the slope of line = m = -6

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line is also -6.

As the line passes through the point (2,−5).

Thus, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope and (x₁, x₂) is the point

substituting the values m = -6 and the point (2,−5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-5) = -6 (x - 2)[/tex]

[tex]y+5=-6\left(x-2\right)[/tex]

subtract 5 from both sides

[tex]y+5-5=-6\left(x-2\right)-5[/tex]

[tex]y=-6x+7[/tex]

Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

[tex]y=-6x+7[/tex]

plz help i’m not smart

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C: For sure

Step-by-step explanation:

Larry accumulated $3,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to two decimal places.

Answers

Answer:

The amount will be "$3655.21".

Step-by-step explanation:

The given values are:

Principle,

P = $3000

Interest rate,

r = 10% i.e., 0.1

Number of times interest,

n = 4

Time,

t = 2 years

As we know,

⇒ [tex]A=P[1+\frac{r}{n} ]^{tn}[/tex]

On putting the values in the above formula, we get

⇒    [tex]=3000[1+\frac{0.1}{4} ]^{2\times 4}[/tex]

⇒    [tex]=3000[1+0.025]^8[/tex]

⇒    [tex]=3000\times 1.2184[/tex]

⇒    [tex]=3655.21[/tex] ($)

Somebody plz help me I’m failing

Answers

since all triangles add up to 180 and the little square on the bottom left is a 90 degree angle well
180-90=90
so angle B is 80
also the person above me answered in a rude way
it’s ok everything will be fine
you’ll get your grades back up
try your best!! :)

HELP ME! 7th grade
Due todayyyy

Answers

Answer:

it has to do with math i think

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Since there is 4 and 1/3 you go 4 and the three lines in between the numbers, you go 1 so 4 and one line in between

A garden has the dimensions of 5x4 in feet. The gardener wants to expand her garden to 56 square feet. She wants to add the same distance (x) to each side. What is the value of x. Must show work for credit. *

Answers

Answer:

2 feet

Step-by-step explanation:

If we were to add the same amount to each dimension then the ratio would be the same, meaning that the length will always be one more than the width. Therefore, the two consecutive numbers that when multiplied equal 56 are 6 and 7.

7 * 6 = 56 square feet

This means that we would be adding 2 feet to each side.

Evaluate, if x = -12, y = -4, and
z is = 9

Answers

Is there a problem that goes with it or is this it

5. AGHI is an isosceles triangle with a vertex angle H
If the M

Answers

Answer:

I can't help I cause u don't have questions to pick from

Isabella is ordering pizza for a family dinner. If 2 pizzas will feed 4 people, how many pizzas does she need to order for 12 people?

Answers

Answer:

She needs to order 6 pizzas.

Step-by-step explanation:

(My bad I thought it was one pizza that fed 4 people not two)

Answer:

6 pizzas

Step-by-step explanation:

2pizza=4 people

12/4=3

3*2=6

A birds nest is 12 feet above the ground. A mole's den is 12 inches below the ground. What is the difference in height of these two positions?

A. 24 In
B. 11 Ft
C. 13 Ft
D. 24 Ft

Answers

Answer:

C - thirteen feet

Step-by-step explanation:

12 feet plus 1 foot is 13

X=2 y=5
2x^0y^-2
Please help

Answers

Answer:

2/25

Step-by-step explanation:

1/3 as a number is wat thanks and have a good day aight

Answers

0.33... (it goes on forever)

I’m doing percent equation and the question is blank % of $50 = $35 help me plzzz

Answers

70%

50 * x = 35

x= 35/50

x=0.7

x=70%

Which part is the y-intercept in this equation? y=3x+9

Answers

Answer:9+3x=12x

Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x

What inequality sign also means "Has a limit of"?
I will mark brainiest

Answers

Answer:

greater/less than or equal to sign

Step-by-step explanation:

Answer: ⩽

Step-by-step explanation:

This inequality symbol means "at most"

hope this helps :)

Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).

Answers

Answer:

y= 1/2x + 6

Step-by-step explanation:

when making a perpendicular equation, flip the slope.

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope of the perpendicular line will have the complete opposite slope.

The perpendicular slope is 1/2x.

To get the slope I just got the opposite sign and reciprocal of -2.

NOW plug in (-4,2) to find the y-intercept

2 = 1/2(-4) + b (b represents y-intercept)

2 = -2 + b (add 2 on both sides)

4 = b

y = 1/2x + 4 is the final equation

HOPE THIS HELPS!!

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