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
alekssr [168]
3 years ago
6

Which of the following numbers is between 3/5 and 5/7

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Numbers 8/9 and 47/70 are between 3/5 and 5/7

Step-by-step explanation:

  • Step 1: Find the equivalent decimal expressions of all the given fractions to find which ones are between 3/5 and 5/7

3/5 = 0.6 and 5/7 = 0.71

Option 1 ⇒ 1/2 = 0.5

Option 2 ⇒ 3/7 = 0.43

Option 3 ⇒ 8/9 = 0.89

Option 4 ⇒ 19/35 = 0.54

Option 5 ⇒ 47/70 = 0.67

∴ 8/9 and 47/70 lies between 3/5 and 5/7

You might be interested in
Explain how to evaluate f(g(0)).
alekssr [168]

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

8 0
2 years ago
The ratio of boys and girls at the beach cleanup was 7:8. If there were 42 boys, how much girls were there
ratelena [41]

Answer:

48 girls

Step-by-step explanation:

Divide 42 by 7 and then multiply the answer by 8.  So 42/7 is 6 and 6 multiplied by 8 is 48 so if there are 42 boys there are 48 girls.

3 0
3 years ago
What is the linear equation representing the value of the robot? [t is measured in years, V is measured in thousands.]
makvit [3.9K]
All of the above or C
8 0
3 years ago
If 5 of 22 students are hearing impaired - what fraction of students are hearing impaired
Shtirlitz [24]
5/22 the number you get from the total becomes the numerator and the total amount becomes the denominator
7 0
3 years ago
HELPP PLEASE
Aleksandr [31]
152.6315 is because If you dived 870 by 5.7 it will be that.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Samantha earns $22 per hour as a plumbing apprentice. How much does she earn per minute in cents?
    8·1 answer
  • Find the x- and y-intercepts. Put in ordered pairs. 5x+9y=18-(x+y)
    14·1 answer
  • A table is 4 ft high. A model of the table is 6 in. high. What is the ratio of the height of the actual table to the height of t
    13·2 answers
  • Change 13/20 to a decimal
    7·2 answers
  • Write 615,600 in scientific notation
    15·1 answer
  • Rewrite the expression using Distributive Property, then simplify:<br><br> -2(-x+3y)-3(x-5y)
    15·1 answer
  • Someone pls help me
    5·2 answers
  • The radius of a circle is 13 find its area un terms of pi​
    9·1 answer
  • Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? G
    11·1 answer
  • Find the rationalizing factor of 3-√5​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!