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
shutvik [7]
3 years ago
14

A number, n, is added to 15 less than 3 times itself. The result is 101. Which of the following can be an equation can be used t

o find the value of n?
a.n + (3n - 15) = 101
b.4n - 15 = 101
Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

Option a and  b both are correct.

Step-by-step explanation:

We have been given the information that is: n is added to 15 less than 3 times itself.

The result is 101.

So, the number is 15 less than 3 times to itself means: 3n-15

And n is added to it that means:

n+(3n-15)

And its result is 101 so,

n+(3n-15)=101

After simplification of above expression gives:

4n-15=101.

Therefore, Option a and b both are correct.

You might be interested in
If A = (0,0) and B = (8,2), what is the length of AB
Marina CMI [18]

Answer:

Hope the picture will help you

8 0
2 years ago
Given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only
olga2289 [7]

Answer:

4 \frac{1}{9}x + 12\frac{1}{3} = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = -1\frac{1}{3} + \frac{2}{9} x

Therefore...

5x - 4y + 7 = 0

5x - 4(-1\frac{1}{3} + \frac{2}{9} x) + 7 = 0

5x + 5\frac{1}{3}  - \frac{8}{9} x + 7 = 0

4 \frac{1}{9}x + 12\frac{1}{3} = 0

5 0
2 years ago
Ryan has nine 14 ounce bags of popcorn to repackage and sell at the school fair. a small bag holds 3 ounces. how many small bags
Mice21 [21]
14 divided by 3 you would get 4 2/3 but since all the bags have to have the same amount it should be 4

Hope this helps!
3 0
3 years ago
3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

3r^2-6r+6=0\iff r^2-2r+2=0

which has roots at r=1\pm i. This admits the two fundamental solutions

y_1=e^x\cos x
y_2=e^x\sin x

The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

and so

u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
u_2=\dfrac13x

Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x
7 0
3 years ago
A couple of students are testing a prototype for a science project on rockets. They launch the rocket and record its height over
Illusion [34]
For this case we have the following table:
 x    f(x)
 <span><span><span>0     2
 </span><span>1     5
 </span><span>2    10
 </span><span>3     17
</span></span></span> The equation that best fits the data in the table, for this case, is given by a quadratic function.
<span><span><span> </span></span></span>The quadratic function in its standard form is:
 f (x) = x2 + 2x + 2
 Answer:
 f (x) = x2 + 2x + 2
8 0
3 years ago
Read 2 more answers
Other questions:
  • will ate a snack with 68.44 total calories.If the chip he ate were 39.94 calories, how many calories were in the rest of his sna
    5·1 answer
  • Trent walks 133 yards due south, then 168 yards due west and finally 293 yards due north. How far is Trent from his starting poi
    15·1 answer
  • ) (4 pts) roulette is a game of chance that involves spinning a wheel that is divided into 38 segments. a metal ball is tossed i
    6·1 answer
  • An equation is shown below: −2(4x − 1) − 7 = 5 Which statement shows a correct next step in solving the equation?
    9·1 answer
  • Solve the problem for (x-4)^2=5.
    14·1 answer
  • Help me plz :)))))))
    12·1 answer
  • HELP PLS!!!
    5·1 answer
  • It iready give me the answer please no link or bot
    7·2 answers
  • Find the measure of the missing ANGLE.
    14·1 answer
  • A function has factors of (x-2) and (x + 3) which graph could represent the function
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!