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
#SPJ2
If xy =1 show that dy/dx=-1/x²
If xy = 1, then differentiating both sides with respect to x gives
x dy/dx + y = 0
(use the product rule)
Solve for dy/dx :
dy/dx = -y/x
Solve the starting equation for y and substitute that into the derivative.
xy = 1 → y = 1/x
→ dy/dx = -(1/x)/x = -1/x²
I needdddddd helppppppp
Answer:
what is the question
Step-by-step explanation:
uppose a computer animator has worked on 56 projects. If the ratio of video games to all other projects is 5:9, how many projects are video games?
Answer:
Number of video game = 20
Step-by-step explanation:
Given:
Total number of project = 56
Ratio = 5:9
Find:
Number of video game
Computation:
Number of video game = 56[5/(5+9)]
Number of video game = 56[5/(14)]
Number of video game = 280 / 14
Number of video game = 20
I'll give brainliest hurry
Answer:
p
Step-by-step explanation:
Help please and show ya work
Answer:
D: 14.5
Step-by-step explanation:
4.1 = d - 10.4 add 10.4 to each side
14.5 = d
Answer:
14.5
Step-by-step explanation:
10.4 - 4.1 = 14.5
What is measure of arc NP?
a(-1, 1)b(1, -2)c(0, -4) rotated 270 degrees by the origin
F = xi+yj+2zk and σ is the portion of the cone z=x2+y2−−−−−−√ between the planes z=4 and z=5 oriented with normal vectors pointing upwards. Find the flux of the flow field F across σ
What is the value of A in the equation shown?
Answer:
is this algebra 1
Step-by-step explanation:
Answer:
The answer is 1
Step-by-step explanation:
you isolate the variable by dividing each side
A waiter earned a 7% tip. What decimal is equivalent to 7%?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
I need help pls Simplify 6y+9+3y-7
Answer:
9y+2
Step-by-step explanation:
Equation for (-2,-5) and (1,-3) in slope-intercept form
Answer:
y=2/3x-11/3
Step-by-step explanation:
First, find the slope.
m= y2-y1/x2-x1
-3+5/1+2 = 2/3
Slope is 2/3
Now, pick one of the coordinates and use that and the slope to put it in point-slope form.
Point slope form: y-y1=m(x-x1)
Let's use (1,-3)
y+3=2/3(x-1)
Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.
y+3=2/3x-2/3
y=2/3x-11/3
Answer:
y=2/3x-11/3
Step-by-step explanation:
use slope formula and slope intercept form. y=mx+b
Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?
Answer: Each shelf is 2ft
Step-by-step explanation:
16 = (2 x 4) + 4s
16 = 8 + 4s
8 = 4s (subtract 8 from both sides)
8/4 = 4s/4 (divide both sides by 4)
2 = s
Help please! I need an explanation but I dont understand this!!!!!!!
Answer:
its to small
Step-by-step explanation:
Given: D is the midpoint of AB: E is the midpoint of AC
Prove: DE 1 BC
Complete the missing parts of the paragraph proof
Proof
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE
V
A(25, 20)
loro, o
CC
GDD
Elab, o)
slope of BC
BIOO)
C(2,0)
Therefore, because
DE I BC.
Answer:
Step-by-step explanation:
Slope of DE = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{c-c}{a+b-b}[/tex]
= 0
Slope of BC = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0-0}{2a-0}[/tex]
= 0
Therefore, DE║BC because slopes of BC and DE are equal.
What is 3(2+q)+15 simplified
Answer:
The Answer should be....
3q + 21
Find the slope on the graph
Answer:
3/1
Step-by-step explanation:
you need to count the hight of the line from the (0,2) which will be 3 and then how much of the distance of x is. I used rise over run.
I don’t get it can someone help me please.
9514 1404 393
Answer:
89.1 liters
Step-by-step explanation:
"At the same rate" means miles and liters are proportional. The unknown is liters, so we can write the proportion with liters in the numerator:
liters/miles = x/672 = 49/369.6
Multiplying by 672, we have ...
x = 672(49/369.6) ≈ 89.09091
It will take 89.1 liters of gas to go 672 miles.
write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)
Answer:Find the slope of the original line and use the point-slope formula
y
−
y
1
=
m
(
x
−
x
1
)
to find the line parallel to
y
=
3
x
+
6
.
y
=
3
x
−
5
Step-by-step explanation:
The ratio of blue chairs to red chairs in Ms. Vickers' class is 2 to 5. Which of the following cannot represent the total number of chairs in Ms. Vickers' class? A 14 C 28 B 20 D 35
Answer:
I would say B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
hwo wants brainlist?
567x357+65-76=?
Answer:
Hewo, Mee
202408
Answer:
202408
Step-by-step explanation:
Michael buys a car and agrees to pay $1,500 up front and $450 month for the next 2 years. Which shows the total amount,y, in dollars that will be paid at the end of x months?
Answer:
Total cost= $12,300
Step-by-step explanation:
Giving the following information:
Fixed cost= $1,500
Monthly cost= $450
To calculate the total cost, we need to use the following formula:
Total cost= fixed cost + unitary variable cost*x
x= number of units
For 2 years:
Total cost= 1,500 + 450*24
Total cost= $12,300
Answer:
Step-by-step explanation:
What is the solution to the system of equations?
y = 1/3x -10
2x + y = 4
(–8, 6)
(–6, 16)
(6, –8)
(16, –6)
Can someone please help me if you know! Thank you
Answer:
D
Step-by-step explanation:
the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x
if josh's account balance is greater than it would be josh > vanessa or vanessa < josh
The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis
Answer:
P(-2,4)
Q(2,5)
R(-1,8)
Step-by-step explanation:
The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.
Demarcus and Devon were working on this problem:
A phone costs $300. The price will increase by 15%
next week.
Devon thinks the new price of the phone will be $315.
Demarcus thinks it will be $345. Who is right?
Answer:
Demarcus is right the phone will cost $345
Step-by-step explanation:
15% of 300 = 45
300+45=345
The cylindrical part grain silo is 10 meters tall and has a radius of 5 meters.
What is the volume of grain that the cylindrical part of the silo will hold?
50π m³
250π m³
500π m³
750π m³
Answer:
Volume of cylinder = 250πm³
Step-by-step explanation:
Given:
Height h = 10 m
Radius r = 5 m
Find:
Volume
Computation:
Volume of cylinder = πr²h
Volume of cylinder = π(5)²(10)
Volume of cylinder = 250πm³
Find the value of x and y. Write your answers in simplest form.
Answer:
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Step-by-step explanation:
Calculating (x):
Here, we make use of the tan formula
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Adj = x[/tex]
This gives:
[tex]tan\ 60= \frac{16}{x}[/tex]
Make x the subject
[tex]x = \frac{16}{tan\ 60}[/tex]
tan(60) in surd form is [tex]\sqrt{3}[/tex]
So:
[tex]x = \frac{16}{\sqrt{3}}[/tex]
Rationalize
[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
Calculating (y):
Here, we make use of the tan formula
[tex]sin\theta = \frac{Opp}{Hyp}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Hyp= y[/tex]
This gives:
[tex]sin\ 60= \frac{16}{y}[/tex]
Make y the subject
[tex]y= \frac{16}{sin\ 60}[/tex]
tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]
[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]
[tex]y = 16/\frac{\sqrt 3}{2}[/tex]
[tex]y = 16*\frac{2}{\sqrt 3}[/tex]
[tex]y = \frac{32}{\sqrt 3}[/tex]
Rationalize
[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
-3, 6, -12, 24,.......... a9
What’s the missing term?
Answer:
-48 there is a pattern
bro pls help me lol idk what i'm doing
Answer:
60 would be a good inverse for this table, it is best for xy, 60 is the k/p in this equation.
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
The formula for inverse variation is xy=k. So i did 3*5 which is 15 and then I did 15*1 which is 15 and 30*0.5 which is 15. So know i know that 10 times something has to equal 15 so i do 15/10 to get 1.5 which is my answer