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
Marina86 [1]
2 years ago
10

The sum of three numbers is 104. The first number is 6 less than the second. The third number is 3 times the second. What are th

e numbers
Mathematics
1 answer:
lara [203]2 years ago
8 0
We can write this in math as x+y+z=104, x=y-6, and z=3y

Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.

y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.

Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.

The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.

The third equation z = 3y can be written as z = 3(22) or z = 66.

Our three numbers are 16, 22, and 66. Hope this helps you!
You might be interested in
What is the greatest common factor of 10, 20, and 50?
Viefleur [7K]

Answer:

10

Step-by-step explanation:

first you need to find the prime factors of the three numbers

ex:

prime factor of 18= 2*3*3

prime of 24=2*2*2*3

there is one 2 and one 3 in common

greatest common multiple 2*3=6

so the greatest common multiple is ten because it is the only one that can divide between all three evenly.

10=10/10=1\\20=20/10=2\\50=50/10=5

so 10 is your answer

6 0
3 years ago
Help ! Please ! If a/2 - b/3=1 , what is 2a+3v in terms of b?
ArbitrLikvidat [17]
A/2-b/3=1  solve for a, add b/3 to both sides

a/2=1+b/3 which is equal to

a/2=(3+b)/3  multiply both sides by 2

a=(6+2b)/3  now you can substitute this into 2a+3b giving you:

2(6+2b)/3 + 3b which is equal to

(12+4b+9b)/3

(13b+12)/3
7 0
3 years ago
Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)
almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is f(x)=e^{x}

But remeber that the derivative of  e^{x} is  e^{x}

so, f'(x)=e^{x}

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

f'(x)=e^{x}

f'(0.4)=e^{0.4}

f'(x)=1.49

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0
3 years ago
Create a proportion using the form %/100 = is/of = to represent the following word problem. 78% of what number is 42?
Aliun [14]

Answer:

.78 x = 42

x = 42 / .78

The number is 53.8461538462


Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Can someone plz help?
vagabundo [1.1K]

your answer is C. substraction

4 0
2 years ago
Other questions:
  • Y = 2x( z+ 3 ) find y if z = 2 and x = 4 whats the formula​
    5·1 answer
  • A student simplified the radical expression at the right. What mistake did the student make? What is the correct answer?
    5·1 answer
  • 4 (a+3)=36 show all steps
    11·1 answer
  • What is the decimal multiplier to decrease by 0.4%
    11·2 answers
  • If books cost $3.50 each, how much will 3 books cost in all?
    11·1 answer
  • Find the value of 4.6 + 2.8
    10·2 answers
  • -2.8 divided by 0.14 equals
    6·2 answers
  • find the area of this shape plz i really need this done asap plz help with no fake answers questions 50 points
    14·2 answers
  • HELP ME PLEASE..!!!!!! Thank youuuuuu…
    15·1 answer
  • Which of the following should not be capitalized?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!