1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solmaris [256]
3 years ago
12

the sum of the digits of a two number is 14 .if 36 is substracted from the number,the places of the digits are reversed.find the

number​
Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0
The number in the ones place= X
The number in the tenths place= y
y+x=14.
y=14-x

Original placement of numbers=10y+x
New placement of numbers(after subtraction of 36)= 10x+y

10y+ x-36=10x+y
Substitute y with 14-x
So we would get

10(14-x)+ x-36=10x+(14-x)
=140-10x+x-36=10x+14-x
After transposing we get
140-14-36=10x-x+10x-x
=90=18x
X=90/18
x=5

Y=14-x
=14-5
=9


So the two digit number is
10y+x
=90+5
=95
You might be interested in
210 is how many tens? an also what does 240 equals how many tens
qwelly [4]
210 is 21 groups of ten. 240 is 24 tens
6 0
2 years ago
PLEASE HELP IM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100PTS!!!
amid [387]

Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

h(x)=-x+9

However, when we multiplied them together, we get:

j(x)=-9x

Let's first consider what we can determine from this.

If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.

<em>However</em>, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

<em>But</em>, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.

Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

If the y-intercept was 0, then the equation of our horizontal line will be:

y=0

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

So, D is true.

E) The y-intercepts of f(x) and g(x) must be opposites.

Well, since B and D is are true, this must be false since we can only select two options ;D

But, we can think about this. Note that if we multiply the two functions, we have a function <em>without</em> a y-intercept.

Remember that our horizontal line is <em>not</em> 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we <em>must</em> get another number.

However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.

Therefore, the two y-intercepts <em>cannot</em> be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.

In fact, this means that the y-intercept of our line (not the horizontal one) <em>must </em>be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

4 0
3 years ago
Read 2 more answers
There are 20 bags filled with coins that all look alike. The coins in 19 of the bags are authentic and weigh 10 ounces each. The
irakobra [83]
It will come out to a flat number like 10 20 30 40 ect and the counterfeit will have a 1 at the end such as 11 21 31 41.
Hope i Helped
6 0
3 years ago
there are 75 students on the sapphire team and 1/5 of them are in the band . how many students are in band?
faltersainse [42]

Answer:

15

Step-by-step explanation:

75/5 = 15

This spilts the 75 students into 5 different groups and each one has 15 which is 1/5 of the students

6 0
1 year ago
Help please, an explanation would be greatly appricatated.
Nataly_w [17]

Answer:

x = -5

Step-by-step explanation:

In both questions you want to get the x alone.

1.

-3x + (-6) = 9

First you want to add 6 to both sides so you'll be left with:

-3x = 15

Next, you want to divide both sides by -3 and you'll get:

x = -5

2.

-4x + (-12) = 8

You want to do the same thing as the first one so you'll add 12 to both sides:

-4x = 20

Then, you will divide both sides by -4 and get:

x = -5

4 0
2 years ago
Read 2 more answers
Other questions:
  • Gordan's front lawn measures 2,655 square feet. It takes him 9 minutes to mow it on his riding lawn mower. How many square feet
    14·2 answers
  • Read and write the number in two other forms 65,058
    14·2 answers
  • 100,699 rounded to the nearest thousand
    12·2 answers
  • Image attached: geometry
    7·2 answers
  • If b=3-2s and A= -2s^2+2s+3 find an expression that equals 2b+2A in standard form
    10·1 answer
  • Find the angle between following linesroot 3x-y=2,x-root 3y=7<br><br>​
    14·1 answer
  • I BEEN STUCK ON THIS FOR SO LONG
    11·2 answers
  • Find the value of r so the line that passes through each pair of points has the given slope.
    9·1 answer
  • What’s is 9 divided by 3/10
    7·1 answer
  • Sketch a graph of x + y= -5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!