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
Bad White [126]
3 years ago
12

Lisa’s age is 4 years older than three times sammy’s Age. Lisa is 28 years old let s represent sammy’s Age

Mathematics
2 answers:
miss Akunina [59]3 years ago
8 0

Answer:

Sammy's age is 8 years.

Step-by-step explanation:

Let s represent Sammy’s age.

We have been given that Lisa’s age is 4 years older than three times Sammy’s age.

Three times Sammy’s age would be 3s.

4 years older than three times Sammy’s age would be 3s+4.

We are also told that Lisa is 28 years old. We can represent this information in an equation as:

3s+4=28

3s+4-4=28-4

3s=24

\frac{3s}{3}=\frac{24}{3}

s=8

Therefore, Sammy's age would be 8 years.

mel-nik [20]3 years ago
3 0

Answer:

Sammy is 8 years old

Step-by-step explanation:

3s + 4 = 28 is the equation you need to use you have to get s on its own to find Sammy's age

3s + 4 = 28    subtract 4 from both sides

3s = 24      divide both sides by 3

s = 8      Sammy is 8 years old

You might be interested in
'Ciumane ananen<br> 32.50t + 5 = 28.75t + 20
gtnhenbr [62]

Answer:

The answer is 0.25

Step-by-step explanation:

(1)we group like terms by subtracting 32.50 by 28.75

(2) we subtract 20 and 5 to give us a value of 15

(3)when we subtract 32.50 and 28.75 we get a value of 3.75

(4)so the equation will look like this 3.75t = 15

(5)we divide 3.75 we both the two equations

(6)With a correct calculation, Your answer should be t = 0.25

6 0
3 years ago
Points (3,1) and (1,4) lie on line k. What is the slope of the line that is perpendicular to k?
denis-greek [22]
First we need to find the slope of line k.  Using the slope formula, we fill in accordingly: m= \frac{4-1}{1-3}.  The slope is -3/2.  The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3).  You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals.  The slope you're looking for is 2/3.  Choice 3 above.
6 0
2 years ago
Help with number 13 please if someone can please
guapka [62]

Answer: X=2   Y=-6

Step-by-step explanation:

6 0
3 years ago
Use lagrange multipliers to find the point on the plane x â 2y + 3z = 6 that is closest to the point (0, 2, 4).
Arisa [49]
The distance between a point (x,y,z) on the given plane and the point (0, 2, 4) is

\sqrt{f(x,y,z)}=\sqrt{x^2+(y-2)^2+(z-4)^2}

but since \sqrt{f(x,y,z)} and f(x,y,z) share critical points, we can instead consider the problem of optimizing f(x,y,z) subject to x-2y+3z=6.

The Lagrangian is

L(x,y,z,\lambda)=x^2+(y-2)^2+(z-4)^2+\lambda(x-2y+3z-6)

with partial derivatives (set equal to 0)

L_x=2x+\lambda=0\implies x=-\dfrac\lambda2
L_y=2(y-2)-2\lambda=0\implies y=2+\lambda
L_z=2(z-4)+3\lambda=0\implies z=4-\dfrac{3\lambda}2
L_\lambda=x-2y+3z-6=0\implies x-2y+3z=6

Solve for \lambda:

x-2y+3z=-\dfrac\lambda2-2(2+\lambda)+3\left(4-\dfrac{3\lambda}2\right)=6
\implies2=7\lambda\implies\lambda=\dfrac27

which gives the critical point

x=-\dfrac17,y=\dfrac{16}7,z=\dfrac{25}7

We can confirm that this is a minimum by checking the Hessian matrix of f(x,y,z):

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

\mathbf H is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.

At this point, we get a distance from (0, 2, 4) of

\sqrt{f\left(-\dfrac17,\dfrac{16}7,\dfrac{25}7\right)}=\sqrt{\dfrac27}
8 0
2 years ago
. Which of the equations below has a solution of 3? A 2 r= 6 B 6 = 2 rC 2r = 6
yaroslaw [1]

Answer:

They all have a solution of 3.

Step-by-step explanation:

Each of the equations represented are basically the same thing, therefore have the same answer.

A) 2r = 6 - You would divide 6 by 2 and you would get 3.

B) 6 = 2r - You would still divide 6 by 2, which equals 3.

C) 2r = 6 - Then again you would divide 6 by 2 to get 3.

   - <em>I hope this helps :)</em>

6 0
2 years ago
Other questions:
  • Order from least to greatest
    7·2 answers
  • A city council member wanted to know how her constituents felt about a planned resining she randomly selected 75 names from the
    13·1 answer
  • NEED HELPPPPP!!!!please
    8·1 answer
  • How many times douse 45 go into 240
    13·2 answers
  • I need help finding each measure in rhombus
    11·1 answer
  • Which expression could be used to determine
    6·1 answer
  • Help me out plz I will gave u Brainliest
    9·1 answer
  • What is the approximate area of the circle shown below?
    6·1 answer
  • 7a +42 +8&lt; -10 + 9a -64a
    13·1 answer
  • Value of complex number i^7+1/i^4​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!