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
ANEK [815]
3 years ago
5

Write the following number as ratios of integers

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let x=7.\overline{6}. We want to cut the 0.\overline{6} bit off completely, so let's create the scalpel that'll let us do that. If x=7.\overline{6}, then we can also say that 10x=76.\overline{6}. Maybe I was lying a bit: the x is our real scalpel here, and 10x is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting x off of 10x) leaves us with:

10x-x=76.\overline{6}-7.\overline{6}\\9x=69

The operation was a success! We can now simply divide either side by 9 to find x = 69/9, which, when reduced by dividing the numerator and denominator by 3, gives us x=23/3

You might be interested in
The ticket price for an ice hockey match used to cost £19.60. The price has now increased by 12.5%. How much will 2 tickets cost
Amanda [17]

Answer:

The 2 tickets will cost £44.10 after the increase.

Step-by-step explanation:

First, you have to multiply £19.60 by 12.5% to find the increase in the cost of tickets.

19.60(0.125)=2.45

Add the price increase to the original cost to find the new cost of each ticket.

19.60+2.45=22.05

Multiply the result by 2 since you have to look for the cost of the 2 tickets.

22.05(2)=44.10

8 0
2 years ago
Rounded to three decimal places, what is the value of r for this data set?
victus00 [196]
I think the answer is B not sure though
7 0
3 years ago
An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give
EastWind [94]
P ( x ) = x³ - 4 x² + 3 x - 12 = 
= x² ( x - 4 ) +3 ( x - 4 ) = ( x - 4 ) · ( x² + 3 ) 
x - 4 = 0,  x = 4
x² + 3 = 0,  x² = - 3 ( there is no real solution )
Answer: In 4 years the company will break even.
4 0
3 years ago
Find the amount to which $2,500 will grow if interest of 6.75% is compounded quarterly for 10
andreev551 [17]

Answer:

Part a

For this case n = 4. If we use the future value formula we got:

A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506

Part b

For this case n = 365. If we use the future value formula we got:

A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776

Step-by-step explanation:

We can use the future vaue formula for compound interest given by:

A= P(1+ \frac{r}{n})^{nt}

Where P represent the present value, r=0.0675 , n is the number of times that the interest is compounded in a year and t the number of years.

Part a

For this case n = 4. If we use the future value formula we got:

A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506

Part b

For this case n = 365. If we use the future value formula we got:

A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776

5 0
3 years ago
Find the equation of this line.<br> [?]<br> x + [ ]<br> y
Leona [35]

Step-by-step explanation:

In a equation of a line

y=mx+c

Let's take two points from the graph (0,1) and (4,3)

Slope=m= (3-1/4-0)= 2/4=1/2

C= 1

y=½x+1

8 0
3 years ago
Read 2 more answers
Other questions:
  • Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
    8·2 answers
  • Please help! ASAP! I’m in a rush to graduate !
    15·1 answer
  • 20 pts and a mark. Please Help!!!A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 2
    12·1 answer
  • You withdraw $29.79 from your bank account. Now your balance is −$20.51. Write and solve an equation to fi nd the amount of mone
    8·2 answers
  • : Higher numbers of people clustered in dense areas make it easier for a virus to be transmitted. In 2018, there is an average o
    7·2 answers
  • Pat rides her bike to her friend's house every day for school.
    7·1 answer
  • Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets p after t minutes of printing
    7·1 answer
  • Question 7 of 10
    12·2 answers
  • I'll mark you as brainliest<br><br>give serious answers​
    7·1 answer
  • Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!