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Marina86 [1]
3 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]3 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!
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il63 [147K]
<h3>x²+5x+3+2x²+10x15 =0</h3><h3>x²+2x²+5x+10x+3+15=0</h3><h3>3x²+15x+18=0</h3><h3>3(x²+5x+6) =0 because 3 is common factor</h3><h3>3(x²+3x+2x+6) spill the middle term</h3><h3>3(x(x+3)+2(x+3) take the common factor from term</h3><h3>3(x+2) (x+3)</h3>

<h3>answer is 3(x+2) (x+3)</h3>

please mark this answer as brainlist

3 0
3 years ago
For what value of x is the rational expression below undefined x-4/3x2-75
abruzzese [7]

The given expression is undefined when x = 5 OR x = -5

<h3>Undefined expression </h3>

From the question, we are to determine the value of x for which the given expression is undefined

The given expression is

x-4/3x²-75

An expression is undefined when the denominator equals zero

Thus, the expression is undefined when

3x² - 75 = 0

Now, we will determine the values of x in the equation above

3x² - 75 = 0

3x²  = 75

x² = 75/3

x² = 25

x = ±√25

x = ±5

Hence, the given expression is undefined when x = 5 OR x = -5

Learn more on Undefined expression here: brainly.com/question/19815575

#SPJ1

7 0
2 years ago
A barn silo, excluding the top, is a cylinder. The silo is 7 m in
Elenna [48]

The volume of the silo is 461.81 m³

Step-by-step explanation:

A barn silo, excluding the top, is a cylinder

  • The silo is 7 m in  diameter
  • Its height is 12 m

We need to find the volume of the silo

∵ The silo is shaped a cylinder

∵ The volume of a cylinder = base area × height

∵ The base is shaped a circle

∵ Area a circle = π r², where r is the radius of the circle

∴ The volume of the silo = π r² × h

∵ The diameter of the silo = 7 m

∵ The radius of a circle is half the diameter

∴ The radius of the silo = \frac{1}{2} × 7 = 3.5 m

∵ The height of the silo = 12 m

- Substitute the values of r and h in the rule of volume

∴ The volume of the silo = π (3.5)² × 12

∴ The volume of the silo = 147 π = 461.81 m³

The volume of the silo is 461.81 m³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

7 0
3 years ago
47 of the 50 participants in a triathlon are men and the rest are women. What is the ratio of the number of men participating to
tatyana61 [14]

Answer:

Step-by-step explanation:

47/50

4 0
3 years ago
Solve for x. 13x - 7 = 136
aniked [119]
Add 7 on both sides to then left side cancels out and you end up with 13x=143 then you divide 13 on both sides and get x=11
3 0
3 years ago
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