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
Ronch [10]
2 years ago
5

Solve 24x ⋅ 321-x = 8x+2

Mathematics
1 answer:
KengaRu [80]2 years ago
7 0

Answer:

x=2/7695

≡ Small number, yes, but the steps explain why x is equal to this.

Step-by-step explanation:

simplify

24x\cdot 321-x=8x+2\\\left(24\cdot 321\right)x-x=8x+2\\7703x=8x+2

group

7703x=8x+2\\7703x-8x=8~x+2-8x\\7695x=8x+2-8x\\7695x=8x-8x+2\\7695x=2

isolate

7695x=2\\\frac{7695x}{7695}=\frac{2}{7695}\\x=\frac{2}{7695}

The fraction is in its simplest form, so that is the final answer.

You might be interested in
Find the other endpoint given the following <br><br> Endpoint: (5,-3) Midpoint: (7,-6)
Lilit [14]

The answer is (3, 0) for The second endpoint.  

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 7)/2 = 5

Kx + 7 = 10

Kx = 3

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -6)/2 = -3

Ky + -6 = -6

Ky = 0

This gives us the final point of (3, 0)

5 0
3 years ago
Jade’s weekly paycheck is $306.25. She makes $8.75 per hour. Divide to find the number of hours per week Jade works.
ZanzabumX [31]

So if Jade makes $306.25 a week and for every hour she works, she makes $8.75, then all you have to do is divide 306.25 by 8.75.

306.25/8.75 = 35 hours should be your answer

Let me know if that doesn't make sense or you still don't understand it :)

5 0
2 years ago
Read 2 more answers
What is the solution of -8/2y-8=5/y+4-7y+8/y^2-16 <br> y = –4 <br> y = –2 <br> y = 4 <br> y = 6
maria [59]
(-8)/(2y-8)=(5/(y+4))-7y+(8/(y^2-16))
(-4)/(y-4)=(5/(y+4))-7y+(8/(y+4)(y-4))
((-4)(y+4))/((y+4)(y-4))=((5(y-4))/(y+4)(y-4))-(7y(y+4)(y-4))/(y+4)(y-4))+(8/(y+4)(y-4))
(-4(y+4))=(5(y-4))-(7y(y+4)(y-4))+8
-4y-16=5y-20-(7y(y^2-16))+8
-4y-16=5y-20-7y^3+112y+8
-4y-16=117y-7y^3-12
-4=(121-7y^2)(y)
None of these choices would be equal to -4

4 0
3 years ago
Read 2 more answers
Simplify the following expression. log(x2) - log(x)
nadya68 [22]
Bc. log a - log b = log (a/b) than use this formula will get 

log x^2 -log x = log (x^2 /x) = log x so choice D. is right sure 

hope helped 
6 0
3 years ago
Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125
Savatey [412]

we have that

300 + 150 + 75 +...

Let

a1=300\\ a2=150\\ a3=75

we know that

\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50

\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50

so

a(n+1)=an*0.50

Is a geometric sequence

Find the value of a4

a(4)=a3*0.50

a(4)=75*0.50

a(4)=37.5

Find the value of a5

a(5)=a4*0.50

a(5)=37.5*0.50

a(5)=18.75

Find S5

S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25

therefore

the answer is

581.25

Alternative Method

Applying the formula

S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25

therefore

the answer is

581.25

6 0
2 years ago
Read 2 more answers
Other questions:
  • There are four different answers to the mathematical question: 3 + 2 * 3^2 = ?
    15·1 answer
  • 20 +63 without rewriting find the sum using mental math
    11·2 answers
  • 100,000 less than five hundred sixty thousand, three hundred thirteen is___ *
    14·1 answer
  • What is the formula for finding the radius of a circle?
    14·2 answers
  • One half the difference of the cube of a number, x, and three
    8·1 answer
  • the pie store is having a 20% off sale on all of its pies. if the pie you want regularly costs $18, how much would you save with
    15·1 answer
  • What value of x will make the equation true? (√5) (√5)=x​
    9·1 answer
  • Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elemen
    5·1 answer
  • There are 45 people on the bus. 60% of them were adults. How many adults were on the bus? Write an explanation
    8·2 answers
  • Question 6(Multiple Choice Worth 1 points)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!