You're given
x + y + z = 165
7x = n
n = y - 9
n = 9 + z
and you want to find xyz.
Solve the last three equations for x, y, and z :
7x = n → x = n/7
n = y - 9 → y = n + 9
n = 9 + z → z = n - 9
Substitute x, y, and z into the first equation and solve for n :
n/7 + (n + 9) + (n - 9) = 165
n/7 + 2n = 165
n + 14n = 1155
15n = 1155
n = 77
Now solve for x, y, and z :
x = 77/7 = 11
y = 77 + 9 = 86
z = 77 - 9 = 68
Then the product is
xyz = 11 • 86 • 68 = 64,328
The product of the three numbers is 8,192,040. The sum of three numbers x, y, z is 165: x + y + z = 165
The problem states:
1. When the smallest number x is multiplied by 7, the result is n: 7x = n
2. The value n is obtained by subtracting 9 from the largest number y: n = y - 9
3. The value n is also obtained by adding 9 to the third number z: n = z + 9
Now, let's proceed to find the values of x, y, z, and n:
From equation (2), we can express x in terms of n:
x = n/7
Now, substitute the value of x in equation (1):
(n/7) + y + z = 165
From equation (3), we can express y in terms of n:
y = n + 9
Now, substitute the value of y in the equation above:
(n/7) + (n + 9) + z = 165
From equation (4), we can express z in terms of n:
z = n - 9
Now, substitute the value of z in the equation above:
(n/7) + (n + 9) + (n - 9) = 165
Combine the terms with n:
3n/7 = 165
To isolate n, multiply both sides by 7/3:
n = 165 * (7/3)
n = 385
Now, we have the value of n, which is 385. To find the values of x, y, and z, substitute n back into the respective equations:
x = n/7 = 385/7
≈ 55
y = n + 9 = 385 + 9
= 394
z = n - 9 = 385 - 9
= 376
Now, we have the values of x, y, z, and n:
x = 55,
y = 394,
z = 376,
n = 385
To find the product of the three numbers, simply multiply them:
Product = x * y * z
= 55 * 394 * 376
≈ 8,192,040
So, the product of the three numbers is 8,192,040.
To know more about three numbers:
https://brainly.com/question/30269736
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A normal population has a mean m=33 and standard deviation s = 9. What is the probability that a randomly chosen value will be greater than 44?
Answer: 0.1112
Step-by-step explanation:
Let X be a random variable .
Given: A normal population has a mean m=33 and standard deviation s = 9.
The probability that a randomly chosen value will be greater than 44 will be :-
[tex]P(X>44)=P(\dfrac{X-m}{s}>\dfrac{44-33}{9})\\\\=P(Z>\dfrac{11}{9})\\\\=P(Z>1.22)\\\\ =1-P(Z<1.22)\\\\=1-0.8888\\\\=0.1112[/tex]
Hence, the probability that a randomly chosen value will be greater than 44 = 0.1112
A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%
Given:
mean m=33
standard deviation s = 9
probability = ?
Solution:
(34-39)/9 = -0.5556
which mean
34 is -0.5556 standard deviations from the mean.Using the normal distribution table,P(Z<-0.5556) ≈ 0.28774
or 28.774%
Thus, A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%
Learn more:
https://brainly.com/question/475676
What is the y-intercept when a line has a slope of 1/2 and
passes
through the point (2, -1)?
Answer:
-2
Step-by-step explanation:
y=ax+b
Put the numbers into that equation.
-1=1/2*2+b
Simplify:
-1=1+b
-1-1=b
-2=b
Hope this helped! :)
Solve the equation for all real solutions.
12v2 + 310 + 20
Answer:
I think I know the answer but what is the v for between the 12 and the 2
Step-by-step explanation:
Answer:
12v² + 330
Step-by-step explanation:
Collect like terms: 12v² + (310 + 20)
Simplify: 12v² + 330
May I please have Brainliest?!!!!
if x satisfies 7x+9=58, what is the value of 7-6x?
Answer:
x=7
Step-by-step explanation:
3x+y=-8
-2x-y=6
Find X and Y By Substituting
(-2,-2) is the answer .............
Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?
Answer:
22 people
Step-by-step explanation:
Change 2 3/4 into a fraction, 11/4.
Then divide by 1/8
11/4 x 8/1 = 22
Tell whether the triangles are similar.Explain.
Answer: 13. yes 14. no
Step-by-step explanation:
13. same angles sized down
14. different angles sized down
solve each equation by finding square roots. If the equation has no real number solution, write no solution. 5z^2-45=0
Answer:
Z = +3
Step-by-step explanation:
3 squared is 9 and 9 times 5 is 45 so 45 minus 45 is zero
Answer:
Z = +or- 3, or Option A, would be the best answer choice out of the ones provided above.
NEED HELP ASAP WILL GIVE BRAINLIEST
Review the diagram.
On a coordinate plane, a ramp is 25 degrees from the x-axis in quadrant 1. An object has a vector labeled 300 pounds.
An object is pulled up a ramp with a 25° incline. The force required to move the object is 300 pounds. What is the component form of the force vector?
(78, 290)
(290, 78)
(127, 272)
(272, 127)
Answer:
D. (272, 127)
Step-by-step explanation:
It's actually not A, I just took the test. The right answer is D.
Answer: D) (272, 127)
Step-by-step explanation: :D
Find the absolute maximum of m(t)=t^3-12t^2-144t and justify your answer
Answer:
Step-by-step explanation:
m(t)=t³-12t²-144t
Take the derivative of t:
t'=3t²-24t-144
Set it to 0:
3t²-24t-144=0
Solve for t:
t²-8t-48=0
(t-12)(t+4)=0
t=12 or -4
On a graph, you'll find that the maximum value occurs at t=-4 ..............
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
C(x) = x^3-27x^2+240x+850.
a. Where is C(x) decreasing?
b. Where is C(x) increases?
Answer:
a) [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex].
b) [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].
Step-by-step explanation:
Let [tex]C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850[/tex], where [tex]x[/tex] is the quantity of insecticide, measured in hundreds of liters, and [tex]C(x)[/tex] is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of [tex]C(x)[/tex] are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
[tex]C'(x) = 3\cdot x^{2}-54\cdot x+240[/tex] (1)
Please notice that regions where C(x) is increasing has [tex]C'(x) > 0[/tex], whereas [tex]C'(x) < 0[/tex] when [tex]C(x) < 0[/tex].
We notice that [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex]. Besides, [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].
Given: a∥b, m∠1 = 71º Find m∠5, m∠8
Step-by-step explanation:
m <5=71
m <8=109
-------------
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
Sporting Goods sells 10 baseballs for $87.50. Write an equation that you can use to calculate the
cost C for any purchase of baseballs b at
12x^3-9x^2 factorised
How would you answer this?..
Answer:
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(12 • (x3)) - 32x2
STEP
2
:
Equation at the end of step
2
:
(22•3x3) - 32x2
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
12x3 - 9x2 = 3x2 • (4x - 3)
Final result :
3x2 • (4x - 3)
Where do most interactions between the three non-living Earth systems occur? *NEED HELP ASAP, WILL MARK BRAINLIEST!!!*
Plz help me, DUE TODAY
Answer:
-200 ft
Step-by-step explanation:
sea level is 0 ft
Answer:
Its -200ft because sea is 0
3. A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish?
Answer:i think its -51
Step-by-step explanation:(-18+12)-45
4 5/6 x 2/5 what is this answer
Answer:
[tex]1\frac{14}{15}[/tex] or exact form [tex]\frac{29}{15}[/tex]
Step-by-step explanation:
Um bc im trap bunny bubbles
PLEASE HELPPPP!!
Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence?
A: (x,y) (x+6,+6)
B:(x,y) (-x,y)
C: (x,y) (6x,6y)
D: (x,y) (-y,x)
Answer:
qwsedfgh
Step-by-step explanation:
2 * 2 * 4 * 5 * 6 * 2 * 2 * 5 * 7 * 5 = ? will mark brainliest!
Answer:
336,000
Step-by-step explanation:
2 × 2 = 4 x 4 = 16 × 5 = 80 × 6 = 480 x 2 = 960 x 2 = 1920 × 5 = 9600 x 7 = 62700 × 5 = 336,000
One day, Nat's dog drank 3 times as much water
as his cat. If his cat drank 0.83 liter of water, how
many liters did his dog drink?
Answer:
2.49 liters
Step-by-step explanation:
Do the first 15 Questions With work shown
Answer:
ching chong
Step-by-step explanation:
which of the fractions 13/20, 3/5, 3/4 and 7/10 is greatest
Answer:
3/4
Step-by-step explanation:
3/4
We can change all fractions to denominator 20 to easily vary them
13/20=13/20
3/5=12/20
3/4=15/20
7/10=14/20
I'm giving everything. The wrong answer will be reported,].
a small toy car costs $3 a large toy car cost 5 times as much as the small one.
Answer:
$15
Step-by-step explanation:
Good Morning!
If the small toy car costs $3.00, and the large toy car costs 5 times as much as the small one, we can multiply the value of the small car by five to find the value of the large car.
Since five times 3 = 15, the value of the large toy car is $15.00.
~theLocoCoco
can u pls help me with this question
Answer:
I think is 2/9 but I may be wrong
Please help, really want to get this done.
Answer:
1. C
2. B
3. A
4. D
is the correct answer
Answer:
1. 1/3 --> all sides in an equilateral triangle are equal, so the constant of proportionality would be 1/3
2. 10/4*9 = 22.5
3. 8/2 = 4
4. c/g = m
please help! thanks :)
A file that is 247 MB is being downloaded.
if the download is 17.5% completed, how many megabytes have been downloaded? Round your answer to the nearest 10th.
Answer:
43.2 MB
Step-by-step explanation:
The amount that has been downloaded is 17.5% of 247 MB. This is equal to 17.5% [tex]\times[/tex] 247 (in general, "of" always indicates that you should multiply). 17.5% is equal to [tex]17.5/100[/tex], or 0.175.
Therefore, the amount that has been downloaded is 0.175 * 247, which is 43.225 MB. Rounded to the nearest tenth, this is 43.2 MB.
7/24.15 what is the anwser?
Answer:
0.28985507246
Step-by-step explanation:
Answer:
if you meant 7 divided by 24.25 your answer would be 20/69 or 0.2898 in decimal form
Step-by-step explanation:
Alatio is used to make comparisons between 2 quantities.
O True
O False
Answer: True
Step-by-step explanation: