Answers
Given:
The expression is:
[tex]\dfrac{15m^2-3}{3m-1}[/tex]
To find:
The simplified value of the given expression.
Solution:
We have,
[tex]\dfrac{15m^2-3}{3m-1}[/tex]
On dividing, we get
[tex](3m-1)|\overline{15m^2+0m-3}|5m+\dfrac{5}{3}[/tex]
[tex]-(15m^2-5m)[/tex]
[tex]\overline{\quad \quad -5m-3}[/tex]
[tex]-(5m-\dfrac{5}{3})[/tex]
[tex]\overline{\quad \quad -\dfrac{4}{3}}[/tex]
Here, quotient is [tex]5m+\dfrac{5}{3}[/tex] and the remainder is [tex]-\dfrac{4}{3}[/tex].
Therefore, [tex]\dfrac{15m^2-3}{3m-1}=5m+\dfrac{5}{3}-\dfrac{4}{3(3m-1)}[/tex].
Related Questions
Add 5 and 14, triple the sum, and then add four-
fifths.
Answers
Answer:
57.8 or 57 and four fifths
Step-by-step explanation:
5+14=19
19*3=57
57+0.8= 57.8
if the perimeter of an equilateral triangle is 54 in, what is the area? step by step
Answers
Answer:
A≈140.3in²
Step-by-step explanation:
A=3 /4a^2
P=3a
need by midnight pretty simple i just don't know how to explain it.
Answers
Answer:
Side x is adjacent to 30° angle.
Correct method is:
cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99Diego is correct and Steven is wrong.
when finding sine consider the opposite side to the angle, not hypotenusewhen finding cosine consider adjacent side to the angle, not hypotenuseDelta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!
Answers
The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.
BD = AC and AB = CD
In triangles ΔBAD and ΔCDA, we have
BD = AC (Given)
AB = CD (Given)
AD = AD (Common side)
Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Members of a soccer team raised $1416.50 to go to a tournament. They rented a bus
for $877.50 and budgeted $24.50 per player for meals. Determine the number of
players the team can bring to the tournament.
Answers
Answer: The answer is 22 players
Step-by-step explanation:
A cylindrical cookie jar has a volume of 904.23 cubic inches. It is 8 inches tall. What is the radius of the cookie jar? Round your answer to the nearest inch.
Answers
Answer:
Answer:
r = 6 in
Step-by-step explanation:
The volume of a cylinder of radius r and height or length h is
V = πr²h.
Here, we need to solve for the radius; we get:
V
------------- = r²
πh
904.23 in³
This works out to r² = ----------------- = 35.97 in²
π(8 in)
Finally, take the square root of this result to find the radius, r:
r = √35.97 in² = 6 inches
26 beats in 1/6 minutes equals what beats per minute
Answers
Answer:
156
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
26 for every 1/6
So we multiply 26 times 6 to get the full minute
Malik bought a pack of erasers for $3.50 and some pencils for $0.99 each. He paid a total of $10.43. Which equation can be used to find the number of pencils Andrew bought? \
Answers
Answer:
The equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99
Step-by-step explanation:
With the information provided, you can say that the total amount paid would be equal to the price of the pack of erasers plus the price per pencil for the number of pencils purchased, which can be expressed as:
c=3.50+0.99x, where:
c is the total cost
x is he number of pencils purchased
Now, you can solve for x in order to find the equation to calculate the number of pencils Andrew bought:
c-3.50=0.99x
x=(c-3.50)/0.99
According to this, the answer is that the equation that can be used to find the number of pencils Andrew bought is:
x=(c-3.50)/0.99
Which of the following expressions is represented by the number line below?
A. -6 - 5
B. 6 + (-4)
C. -6 + 4
D. 6 - (-4)
Answers
HELPPP ME PLEASEEE IM JUST SLOW
Answers
Answer:
Solve it, you can do it!
Step-by-step explanation:
Multiply 4 2/3 and then divide what you get with 7
Answer:
1.5 or 1 1/2
Step-by-step explanation:
4 2/3 / 7
14/3 / 7
3 * 7 = 21
21/14 =
1.5
edit 1: i changed the / to an or to make it less confusing
2x + 2 = -14
What’s the value of x
Answers
Answer:
x=-8
Step-by-step explanation:
2x+2=-14
2x=-16
x=-8
Answer: x = -8
Step-by-step explanation:
please halp!!!!!!!!!!!!!!
Answers
Answer:
132 degrees
Step-by-step explanation:
360 - 65 - 86 -77
Find S↓4of the sum of the geometric series.a1=32,a4=−4,r=1−2
Answers
∑
x
=
3
−
1
x
2
∑
x
=
3
3
-
1
x
2
4
∑
x
=
0
11
x
5
∑
x
=
0
4
11
x
5
3
∑
x
=
3
2
Or
csc
(
60
)
csc
(
60
)
sin
(
330
)
sin
(
330
)
−
4
cot
(
−
45
)
-
4
cot
(
-
45
)
True or False.
The expressions 4(y−3) and 4y−12 are equivalent?
Answers
Answer:
true
Step-by-step explanation: its true 4 x 1y =4y then you multiply that 3 with the four bc you do the same for both sides it will look the same
Explanation:
Please help if you know the answer please
Answers
Which equations are equal to this equation? Select all that apply. 1/4(8x + 56) = 20 A. 56 + 8x = 80 B. 14 = 20 – 8x C. 2x + 14 = 5 D. 2x = 6
Answers
Answer: Hewo, there! your answer is below
B, C, D Are your Answers
Step-by-step explanation:
These Answers Are correct On Edge
Hope this Helps!!!
Have a great day!!!
Plz help me it’s my last question giving brainliest
Answers
Answer:
1) A
This is your last one?
Hope this Helps!Hope this Helps!:)Solve the equation
r-3 = 3(r- 5)
Answers
Answer:
r=6
Step-by-step explanation:
r-3=3(r-5)
First distribute:
r-3=3r-15
Then subtract r on both sides
-3=2r-15
Then add 15 on both sides
2r=12
Divide by 2 to isolate r
r=6
What is the length of the triangle of “b” and the answers helppp plz? ??
Answers
Chicago, Illinois, has an elevation of 600 feet above sea level. The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago. Select all options that apply to Desert Shores. *
elevation of –200 feet
elevation of 200 feet
below sea level
at sea level
above sea level
Answers
Answer:
elevation of –200 feet
below sea level
Step-by-step explanation
600-800=-200
Two fair, six-sided dice are rolled. What is the probability that the resulting total is even or greater than 10?
Answers
Answer:
Step-by-step explanation:
Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.
The probability that the resulting total is even or greater than 10 is 7/12.
Given that, two fair, six-sided dice are rolled.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, sample space of two dice is
S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Number of favorable outcomes = 18
Total number of outcomes = 36
Probability of getting the total is even = 18/36
= 1/2
Number of favorable outcomes = 3
Probability of getting the total is greater than 10 = 3/36
= 1/12
So, probability is 1/2 + 1/12
= 6/12 + 1/12
= 7/12
Therefore, the probability that the resulting total is even or greater than 10 is 7/12.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
help pleaseeeeeeeeee
Answers
Answer:
non of these choices I guess
Which diagram best represents the relationship among integers, rational numbers, and whole numbers?
Answers
Rational numbers, integers and whole numbers
At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?
Answers
And 74 kids have freckles, so we have to find the % of those kids with freckles.
258–100%
74-?%
Let’s find 1% of the kids.
258/100=2.58
Now let’s find the % of 74 kids.
74/2.58=28.68%~28.7%
(The percent of the kids with freckles is 28.7%)
A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).
Answers
Answer:
Step-by-step explanation:
A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).
DISCLAIMER.......................................................................................................................................................................................................................................................................... 5000 x 800
K imma make another account (you'll know due to my first question). Anywho, If you are my friend or if i helped feel free to go to my new account and friend me!!! (Also anywho take 100 points and buff shrek
Answers
Answer: wut the ham is this
hey man. do me a favor and solve . thanx man
Answers
Answer:
16964.6
Step-by-step explanation:
V=3.14×r2×h r is half remember!
ASAP, Please help me with this question this is time sensitive.
Erik buys a new combination lock for his locker at the gym. The lock has 3 dials, each with the numbers 0 through 9.
The probability that he sets the combination as 4-3-9 is _____.
Answers
Answer: did anyone find the answer???
Step-by-step explanation:
You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.5 ft and the horizontal distance from you to the screen is 14 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.
Answers
I hope this helps with your question.
2x+3=4x(3x-5)
what is the value of x
Answers
Answer:
X=11+ √157/12
x= 11-√157/12
Step-by-step explanation:
2x+3=12x^2 -20x
Move all terms to one side.
2x+3−12x2+20x=02x+3−12x ^2+20x=0
Simplify
22x+3−12x^2=0
Use the Quadratic Formula.
a= -12
b= 22
c= 3