Please help
Drag the tiles to the correct boxes to complete the pairs.
Match each division of rational expressions with its quotient.
Answers
Answer:
The pairs are:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] => [tex]\frac{p^2}{9q^2}[/tex]
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]
Step-by-step explanation:
We are going to solve the questions one by one and then write the quotients with every question.
In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.
First Expression:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex]
When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.
[tex]= \frac{4p^3q}{6p^2q^2} * \frac{2p^2q^2}{12pq^3}\\=\frac{p^5q^3}{9p^3q^5}\\=\frac{p^2}{9q^2}[/tex]
Second Expression:
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex]
Removing the division symbol
[tex]=\frac{10p^3q^3}{2p^2q} * \frac{6pq^2}{5pq}\\=\frac{6p^4q^5}{p^3q^2}\\=6pq^3[/tex]
Third Expression:
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex]
Removing the division symbol
[tex]=\frac{14p^2q^3}{2pq} * \frac{6p^3q^2}{7p^2q^2}\\= \frac{6p^5q^5}{p^3q^3}\\= 6p^2q^2[/tex]
Fourth Expression:
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex]
Removing the division symbol
[tex]=\frac{16pq^3}{24p^2q^3} * \frac{p^3q^3}{2p^2q^2}\\=\frac{p^4q^6}{3p^4q^5}\\=\frac{q}{3}[/tex]
Hence,
The pairs are:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] => [tex]\frac{p^2}{9q^2}[/tex]
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]
Related Questions
A contractor bought 6.4 ftof sheet metal. She has used 3.7 ft2 so far and has $43.20 worth of
sheet metal remaining. The equation 6.4x - 3.7x = 43.2 represents how much sheet metal is
remaining and the cost of the remaining amount. How much does sheet metal cost per square
foot?
Sheet metal costs $
per square foot.
-need help ASAP- please and thank you
Answers
Answer:
$16
Step-by-step explanation:
To find the cost per square foot we have to solve the given equation for x:
6.4x - 3.7x = 43.2
2.7x = 43.2
Divide both sides of the equation by 2.7 to isolate the x:
2.7x/2.7 = 43.2/2.7
x = 16
The sheet metal costs $16 per square foot.
Hope this helps :)
which is closer to 0, -24 or 38
Answers
Answer:
-24
Step-by-step explanation:
Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.
a drink recipe calls for lemon juice and apple juice. the equation below represents the proportional relationship between the cups of lemon juice (L) and apple juice (a) in the recipe.
Answers
Answer: ima newbie
Step-by-step explanation:
Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own. Show all the calculation if it is a numerical question.
82 added to a number is the same as 36
Answers
Answer:
-46
Step-by-step explanation:
What is an advantage of renting a place to live?
Answers
Answer:
The main benefits of renting a place of residence is having fewer responsibilities than homeowners since they do not have to deal with maintenance and repairs. It also offers mobility when a location change is necessary or desirable. Taking possession of a rental house is cheaper than buying a home
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
about 0.52 of the field
about 0.64 of the field
about 0.71 of the field
about 0.87 of the field
Drag each tile to the correct cell in the table.
Answers
Answer:
About 0.71 of the field
Answer:
The answer is .71 of the field
Step-by-step explanation:
Hopefully this helps you
pls mark brainlest
Which statement about the planes is true?
Answers
bruh
why
what
?
osea si pero al a vez cuando pasa osea si parece pero no lo es pero lo es cuando puede ser
The first 6 terms of a sequence are shown below.
96, 48, 24, 12, 6, 3,...
What is the 12th term of the sequence?
Answers
Answer:
It would either be (1.5, 1 1/2, or 3/2) - they are all the same value just written differently.
Step-by-step explanation:
going from left to right, you can see the pattern of the sequence is to divide each number by 2.
96/2 is 48; 48/2 is 24; 24/2 is 12; 12/2 is 6; 6/2 is 3
taking that knowledge, you would divide 3 by 2, resulting in 1.5 ; 2/3 ; or 1 1/2
What is the value of sin(t) if Cos(t)=4/5 and t is in quadrant 1
Answers
Answer:
0.6 or 3/5
Step-by-step explanation:
If cos(t) = 4/5, then, taking the arccos of both sides, t ≈ 36.86989765. Taking the sin of that gives you 0.6, or 3/5 in fraction form.
plz help out with this with steps to I have all of questions like this to answer if u can help with this I would be able to answer the rest it's for my little sis in (6 garde)
Answers
Find the 15th term in the arithmetic sequence 7, 10, 13, 16, 19,... Question 4 options: 49 42 35 52
Answers
Answer:
49
Step-by-step explanation:
first you find the difference between the first two numbers so we do 10-7=3, then plug in 3 for the next 2 numbers 10+3=13, so we know our rule is +3 so now we do 3*14=42 then we do 7+42=49
f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!
Answers
I believe this is the answer if you need it in this order.
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
Answers
Answer: -12/-5x
Step-by-step explanation: use slope formula which is y2-y1/x2-x1
-7-5/-2-3
-12/-5
And then add x after the slope because slopes have x after them
Answer:
Answer:
1. = 1
2. -1/3
Step-by-step explanation:
1. (2,4) and (1,3)
The slope formula is y2-y1
---------
x2-x1
__________________________________________________________
y2=3
y1=4
x2=1
x1=2
Therefore, the slope is 1, and the correct answer is 1.
__________________________________________________________
2. (2,7) and (5,6)
The slope formula is y2-y1
---------
x2-x1
Therefore, the slope is -1/3, and the correct answer is -1/3.
______________________________________________
Hope this helps!
Step-by-step explanation:
please give brainliest :3
ive never gotten brainliest
IS 8 BY -3 A NEGATIVE RATIONAL NUMBER
Answers
Answer:
Yes. The answer is -24.
Step-by-step explanation:
Hope this helped.
Each line represents a proportional relationship. Write an equation for each line. Show your work.
Answers
JOE MAMA
HA GOTTEM
GEEEEEEEEEEEEET DUNKED ON
what is an odd number
Answers
Answer:
An odd number is any number than can't be divided by two ! Some examples are 1, 3, and 5.
Any integer (not a fraction) that cannot be divided exactly by 2. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers.
,54466788999 divide by 9,445 9,965 / the decimal 320
Answers
Answer:
2123 efs d
Step-by-step explanation:
fsdfesd 2 23 r efsdfe sde34 2df
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Answers
Answer:
It may be 220 9/23. If it's wrong sorry lol.
Step-by-step explanation:
help please, im failing math.
Answers
Answer:
Step-by-step explanation:i think it's the second one
ion know
PLEASE HELP! THE FIRST PERSON WHO HELPS ME WILL HAVE GOOD LUCK!
Answers
Answer: The 3/8 image will go with the answer 3/4 x 1/2. The The 3/16 image will go with the answer 1/4 x 3/4. And finally, the 4/9 image goes with the answer 2/3 x 2/3. You’re welcome. :)
Step-by-step explanation:
<1 and <2 are supplementary angles . If m<1=77,then m<2=?
Answers
Answer:
m∠2 = 103°
Step-by-step explanation:
Since ∠1 and ∠2 are supplementary angles, together they equal 180. So, you would just subtract 180-77 and get 103. To check if you are correct just add ∠1 and ∠2 ( 77+103) and you'll get 180.
Answer:
Step-by-step explanation:
The sum of two supplementary angles sum up to 180°
Hence <1+<2 = 180°
Given
<1 = 77
Substitute and get <2
<1+<2 = 180
77+<2 = 180
<2 =180-77
<2 = 103°
Hence the measure of <2 is 103°
Please help I will brainliest!! Really urgent!!
Find the difference
and tell you me how you go it, not just the answer please!❤️
Answers
5/6x - 7 - 1/2x - 6
Then calculate the difference between the fractions :
1/3x - 7 - 6
Then calculate the difference between 7 and 6
1/3x - 13
Solution : 1/3x - 13
Answer:
1/3x - 1
Step-by-step explanation:
5/6x - 7 -1/2x + 6. - -6 turns it to +6
5/6x - 7 -3/6x + 6. Turn 1/2x to 3/6x to make the denominators the same
5/6x - 3/6x -7 + 6
2/6x -1
1/3x - 1
At 9 o’clock in the morning, the temperature was 29 Fahrenheit it dropped 5 Fahrenheit each hour what was the temperature at 4 o’clock in the afternoon?
Answers
Answer:
-6 degrees fahrenheit
Step-by-step explanation:
7×5=35
29-35=-6
What is the answer for 3(x+5)=5x+7
Answers
Answer:
4 = x
Step-by-step explanation:
First, distribute the 3 to the x and 5.
3x + 15 = 5x + 7
Now, subtract 3x from both sides and 7 from both sides.
8 = 2x
Now, divide by 2 on both sides.
4 = x
#teamtrees #WAP (Water And Plant)
3 times X and 5 is 3X+15=5x+7
From there you subtract 3x from both sides and end up with 15= 2x+7
And then you subtract 7 from the 15. Which is 8
Then divide the 8 by 2 which is 4
78
61
97
74
72
58
87
36
Equal what
Answers
Answer:
Step-by-step explanation:
78+61+97+74+72+58+87+36= 563
May u please help me ill give out the brainly
Answers
Answer: The answer that I think is A
sry if wrong
I am having trouble finding this out will anyone help?
Answers
Answer: g = 4
Step-by-step explanation:
30 = 26+g
4 = g
giving brainliest pls help
Answers
Answer:
Given
Step-by-step explanation:
**Tip: Every first statement reason in every proving starts with 'Given'**
Find the 77th term of the arithmetic sequence
-7, -2, 3, ...
Answers
Answer:
373
Step-by-step explanation:
first you find the difference between the first two numbers so we do -7 minus -2=-5 then plug it in -7+5=-2 now plug in 5 for the next two numbers -2+5=3 so now we know the rule is +5 now we do 5*76=380 then we do -7+380=373
In ΔPQR, \text{m}\angle P = (4x-14)^{\circ}m∠P=(4x−14)
∘
, \text{m}\angle Q = (5x+6)^{\circ}m∠Q=(5x+6)
∘
, and \text{m}\angle R = (x-2)^{\circ}m∠R=(x−2)
∘
. Find \text{m}\angle R.m∠R.
Answers
Answer:
17
Step-by-step explanation:
The measure of angle R is 17°
What is a triangle?A triangle is a polygon with three edges and three vertices.
Given is a triangle, PQR and measurements of the angles are given as, m∠P=(4x−14), m∠Q=(5x+6) and m∠R=(x−2)
We know that, the sum of the interior angles of a triangle is 180°
Therefore, ∠ P + ∠ R + ∠ Q = 180°
4x-14 + 5x+6 + x-2 = 180°
10x -10 = 180°
10x = 190°
x = 19°
Now, ∠ R = x-2
∴ ∠ R = 19-2
∠ R = 17°
Hence, the measure of angle R is 17°
For more references on triangles, click;
https://brainly.com/question/2773823
#SPJ2