Xpress 8.54545454545... as a rational number, in the form pq where p and q are positive integers with no common factors.
Answers
To express the repeating decimal 8.54545454545... as a rational number, we can use the concept of infinite geometric series. The rational number equivalent is 282/33.
To express the repeating decimal 8.54545454545… as a rational number, we can use the concept of infinite geometric series. Let x = 8.54545454545…, then multiplying x by 100 gives 100x = 854.54545454545…. Next, subtracting the original x equation from the 100x equation eliminates the repeating decimals, giving 99x = 846. Dividing both sides by 99 results in x = 846/99. Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3, gives the final answer: x = 282/33.
Learn more about Rational Numbers here:
#SPJ3
If you mean p/q, then this is how you do it:
Therefore your final answer is 94/11, where p is 94 and q is 11.
Related Questions
Help me with this problem, thanks
In ∆ABC, c=5.4, a= 3.3 and M less than A =20. What are the possible approximate length of b? Use the laws of sines to find answer 2.0 units and 4.6 units2.1 units and 8.7 units2.3 units and 7.8 units2.6 units and 6.6 units
Please answer correctly will mark brainliest
Please help, will mark you as brainleist!!!
Answers
Answer: 90/8=11.25
Step-by-step explanation:
Answers
Answer: 580
Step-by-step explanation:
A fence is usually a rectangle shape in these questions
Perimeter of a rectangle is P = 2l + 2w
P = 2(170) + 2(120) = 580
Answers
The required volume of the rectangular prism is 60 cubic units,
Given that,
josh packed one layer of a rectangular prism with 15 unit cubes. The prism holds 4 layers of unit cubes.
To determine the volume of the rectangular prism.
What is volume?
Volume is defined as the ratio of the mass of an object to its density.
Here,
Dimension of the rectangular prism,
Each layer consists of 15 unit cubes,
Length of the rectangular prism = 15 units,
and consist of 4 layers,
Width = 4 * 1 = 4 units
height = 1
The volume of the rectangular prism = length * width * height
= 15 * 4 * 1
= 60 cubic units
Thus, the required volume of the rectangular prism is 60 cubic units,
Learn more about Volume here:
brainly.com/question/1578538
#SPJ2
Answer:60
Step-by-step explanation:
Answers
The product of the numbers are 36r and 32s.
What is product?
When we multiply two numbers the resultant is called their product.
Given that, what can be the products of 6 and 6r and 8s and 4
a) 6 and 6r =
We can write it as =
6 x 6 x r
now multiply the numeric parts,
36 x r
= 36r
Similarly,
b) 8s and 4 =
We can write it as,
8 x s x 4
= 8 x 4 x s
now multiply the numeric parts,
= 32 x s
= 32s
Hence, the products are 36r and 32s.
Learn more about products, click;
#SPJ2
6 x 6r = 36r
8s x 4 = 32s
We don’t have a number value to substitute in for r or s, so we just leave those variables as they are.
LMK if you have questions
2y = 3x - 22
The solution to the system is ( ___, ___ ).
Answers
Answer:
(4, -5)
Step-by-step explanation:
3x + 6y = -18
2y = 3x - 22
In the second equation, move 3x to the other side:
3x + 6y = -18
-3x + 2y = -22
Since they have opposite signs, the x terms can cancel out. Add together the equations in order to cancel out x:
3x + 6y = -18
-3x + 2y = -22
8y = -40
Solve for y:
y = -5
Then, plug in -5 in as y into one of the equations, then solve for x:
3x + 6y = -18
3x + 6(-5) = -18
3x - 30 = -18
3x = 12
x = 4
So, the solution to the system is (4, -5)
Answer:
(4, -5)
Step-by-step explanation:
the next question (on slide 2) is:
C. (the third option).
then B. (second choice).
then ( 0.5, 3)
3rd slide:
C. 6
A. add
(-2, -4)
4th slide
B C
B Exactly one
(0, -3)
Edge 2021
Answers
Answer:
80 miles per hour
Step-by-step explanation:
320 miles /4 hours = 80 miles per hour