Answers
Answer:
C and B
Step-by-step explanation:
(6)
[tex]\frac{3x-7y}{8}[/tex] × [tex]\frac{6}{3x-7y}[/tex] ← cancel 3x - 7y on numerator and denominator
= [tex]\frac{1}{8}[/tex] × [tex]\frac{6}{1}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] → C
(7)
[tex]\frac{6x}{x^2-9}[/tex] ÷ [tex]\frac{8}{4x-12}[/tex]
Factorise the denominators of both fractions
x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares
4x - 12 ← factor out 4 from each term
= 4(x - 3)
Then rewrite as
[tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{8}{4(x-3)}[/tex] ← cancel 8 and 4 by 4
= [tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{2}{x-3}[/tex]
• leave first fraction, change ÷ to × , turn second fraction ' upside down'
= [tex]\frac{6x}{(x-3)(x+3)}[/tex] × [tex]\frac{x-3}{2}[/tex] ← cancel x - 3 on numerator and denominator
= [tex]\frac{6x}{x+3}[/tex] × [tex]\frac{1}{2}[/tex] ← cancel 2 and 6 on numerator and denominator
= [tex]\frac{3x}{x+3}[/tex] → B
Related Questions
Look at the equation shown below
Which of the following scenarios could be represented by the equation?
Cory is saving money by saving $3 per week. Her grandmother gave her $4 for her
birthday that she will put with her other savings. How many weeks. x win it take
her to save $322
Cory is saving money by saving $4 per week. She purchased a container for $3 that
she will use to store her money. How many weeks, x, will it take her to save $32
after paying for the container?
Cory is saving money by saving $3 per week. She purchased a container for $4 that
she will use to store her money. How many weeks x, will it take her to save $32
after paying for the container?
Cory has saved $32 and spends $4 on a large drink from Burger Bam. She wants to
buy several orders of fries that cost $3 aplece. How many orders of tries, x can Cory
buy after spending the $4 on the drink?
Answers
Answer:
106 weeks
9 weeks
9 weeks
9 tires
Step-by-step explanation:
1 (322-4)÷3=106
She nees to save for 106 weeks
2 (32+3)÷4=8.75
She need to save 9 weeks becouse complite decimal
3 (32+4)÷3=9
she need to save for 9 weeks
4.(32-4)÷3=9.33
she can order 9 tires
what does it mean when a negative number is in parentheses?
Answers
Usually negative numbers are in parentheses so people don't think that it is subtraction.
The correct answer is the negative sign indicates that the number or term inside the parenthesis is multiplied by a negative sign.
When a negative number is placed within parentheses, it typically indicates that the negative sign applies to the entire number or expression inside the parentheses.
In other words, it's a way to ensure that the negative sign is associated with the value inside the parentheses rather than being treated as an operator.
For example:
(-3) means negative three, which is the same as 3 but with a negative sign.
-(5 + 2) means the negative of the sum of 5 and 2, which is -7.
-x means the negative of the variable x.
In mathematical expressions, using parentheses to enclose a negative number ensures clarity and avoids ambiguity in the interpretation of the expression.
Learn more about Parentheses here:
https://brainly.com/question/4637257
#SPJ3
*HELP*
Which of the following is the definition of a weighted average?
Group of answer choices
The ratio of the width to the height of a television screen.
a computing error caused by switching two adjacent digits.
an indicator, sign or measure of something.
An average resulting from the multiplication of each component by a factor reflecting its importance.
Answers
Answer: an average resulting from the multiplication of each component by a factor reflecting its importance.
Step-by-step explanation:
Answer:
An average resulting from the multiplication of each component by a factor reflecting it's importance.
Step-by-step explanation:
Assuming only one is selectable. Only possible answer doesn't need much explanation I believe.
If in a game you play, gives you 40 candies, and one round takes 3 minutes, and you need 600 candies to buy 1 item.
How many minutes will it take to buy 30 items?
Answers
Answer:
1350min
Step-by-step explanation:
(600÷40)×3=45min for one item
45×30=1320 min for 30 items
can someone help?! please (:
Answers
Answer:
30.7
Step-by-step explanation:
How much farther is Neptune from the Sun than Mars?
---Neptune is 30.7 astronomical unit(s) farther from the sun
Please help! I’ll mark your answer as brainliest. <3
Answers
Answer:
The width is: 11
The length is: 2
Step-by-step explanation:
The width is 5 feet longer than 3 times the length so
If the length is 2: 2 x 3 times = 6 plus the five = 11
The area of a rectangle is a = the width x the lenght
So 2 x 11 = 22 that is the area.
g(x)=23x+1; find g (-3), g (0),and f (9x+6)
Answers
Answer:
x= -1/23
Step-by-step explanation:
I need help please!!!
Answers
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
Add 2 1/2 + (-3 1/3). Write your answer as a mixed number in simplest form.
Answers
Answer:
Exact Form: -⅚
Decimal Form: -0.83 repeating
Option is
AA
SAS
Not enough information to prove similarity
SSS
Answers
Answer:
SAS
Step-by-step explanation:
The included angle is similar and they have corresponding sides.
Distance describes how far an object has moved along its path.
Displacement describes how far an object has moved from its starting point to its final position.
Answers
Step-by-step explanation:
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Answer:
Distance travelled by skateboard is 1.5 miles.
Displacement is 1 mile.
A square has an area of 9 yd? What is the length of each side?
Answers
Answer:
3 yards
Step-by-step explanation:
The area of a square is its length × width, where the length and width are the same:
length × width = 9
Since, the length and width are the same lets call them x
x × x = 9 → x² = 9
To find x, find the square root of 9:
x² = 9 → x = √9 → The square root of 9 is 3
Each side has a length of 3 yards
Find the value of x. 50
Answers
The angles of a triangle equal 180 degrees. You’re given two angles with the vale’s 83 degrees and 50 degrees. To find the remaining angle subtract the two angles from 180.
180 - 83 - 50 = 47.
Answer:
47 degrees
Step-by-step explanation:
The total angles of a triangle always equals 180. Therefore, just add the two angles together then subtract by 180 to get your answer:
180-83+50=47
Which angle is the included angle for JL and JK help!! please
Answers
Answer: angle l
Step-by-step explanation:
What is the slope of (-6,-3) and (-2,-8)
Answers
Answer:
-5/4
Step-by-step explanation:
.......................
The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (-8 - (- 3)) ÷ (-2 - (-6))
= - ⁵/₄
Checking my answer:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-3) = - ⁵/₄(x - (-6))
y + 3 = - ⁵/₄ (x + 6)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
HELP ASAP 100 POINTS!
Functions can be defined using graphs, tables, and ordered pairs. What is the range of a function?
The range is the input.
The range is all numbers.
The range is the output.
The range is any x-value.
Answers
Answer:
the range is the set of possible output of values
Step-by-step explanation:
The range is the set of y-values (OUTPUT) that map to the set of x-values (INPUT).
Please help with this linear equation question. Image Attached.
Answers
There is no image, and without the image, no answer.
There are 5,000 books in the town's library. Of these, 4,600 are fiction. what is the percent?
Answers
Answer:
92%
Step-by-step explanation:
The part that is fiction over the total is the fraction that is fiction
4600/5000 = 23/25
Change this to a percent
23/25 * 4/4
92/100
92%
Please I need help the question is angle sum theorem
Answers
Answer:
x=80, y=55
Step-by-step explanation:
x is on a line so 180-100=80
x= 80
angles of a triangle are 180 so 180-45-80=55
y=55
Help me.
Fraction questions
Answers
Answer:
a)
2 sections
b)
9 sections
Step-by-step explanation:
a) there are total 8 boxes
so, for fraction 1/4
1/4 × 2/2 = 2/8
therefore shade 2 sections.
b) there are total 15 sections so to shade 3/5 of this shape
3/5×3/3 = 9/15
therefore , shade 9 sections.
hope this answer helps you dear...take care!
Titik P(10,3) dicerminkan terhadap sumbu x dan dilanjutkam terhadap pencerminan pada garis y = x menghasilkan bayangan titik P” yaitu
A. (10,-3)
B. (-3,10)
C. (3,-10)
D. (-10,3)
Answers
Answer:
B
Step-by-step explanation:
untuk p'
gerak kebawah dr garisan x sebanyak 3 kotak
p'= (-3,10)
untuk p''
disebabkan y=x
terbalikkan nilai p'
p''=(10,-3)
Peter says, "If you subtract 14 from my number and multiply the difference by -7 , the result is -91 ." What is Peter's number?
Answers
Answer:
x = -77
Step-by-step explanation:
based on the given conditions
x - 14 = -91
x = -91 + 14 then calculate the difference between -91 - 14 = -77
thus x which is peters number = -77
Hi- So this is a simple question that I keep forgetting how to answer! HELPPPP
Ok so, The scale factor from Triangle A to Triangle B is 2, so Triangle B is 2 times bigger than Triangle A.
How much bigger is the area of Triangle B than the area of Triangle A?
HELPPPP
Answers
Answer:
4 times bigger
Step-by-step explanation:
1. The area of an object dilated by a scale factor (SF) will be equal to (SF)^2.
2. For example, let's say the base and height of Triangle A is 4 and 8. The area would be 16 units squared. The base and height of Triangle B would be 8 and 16. The area would be 64 units squared.
3. As you can see from the aforementioned example, the SF (2) was squared and then multiplied by 16 to get 64.
Therefore, Triangle B's area is 4 times bigger than Triangle A's area.
Which functions have graphs that are steeper than the graph of f(x) = -3x2 ? Select each correct answer.
Answers
Answer:
the answer would be:
g(X)
and
m(X)
Step-by-step explanation:
make me as Brainliest sorry if I am wrong
A skyscraper has 49 floors there are 26 offices on each of the bottom 31 fours the top 18 floors each have 38 officers about how many officers are there in the sky scraper all together
Answers
Answer:
903 offices
Step-by-step explanation:
Total number of officers in the sky scraper
= 26 + 31 + [(49-2)×18]
= 26 + 31 + 846
= 903 offices
Kira and Aldo each opened a savings account today. Kira opened her account with a starting amount of, $270 and she is going to put in $85 per month. Aldo opened his account with no starting amount, and he is going to put in $112 per month.
Answers
Answer:
so whats the questiob
Step-by-step explanation:
Answer:
so for kira, in a year shes is going to have 1290$ in a year and 645$ in six.
for aldo, hes going to have 1344$ in. ayear and 672$ in 6 months.
aldo has more money per month even tho kira had that starting 270$
Step-by-step explanation:
hope this helps you :)
PLEASE HELP I REWARD BRAINLIEST!!!!!!!!!!!!!!
no silly answers please
Answers
Answer:
Step-by-step explanation:
If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.
If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.
Answer:
Keep in mind that x has a coefficient of 1.
x = 9x² = 9² = 81
-x² = - 1 · 9² = -1 · 81 = -81
(-x)² = (-9)² = 81
x = -6x² = -6² = -36
-x² = - 1 · -6² = -1 · 36 = -36
(-x)² = (-1 · -6)² = 36
Help me with math please
Answers
(-3^3+2 · -2^2)^2-4^4
(-27+2 · -4)^2-4^4
(-27+(-8))^2-4^4
-35^2-4^4
1225-256
969
Divide 28 bottles of water into two groups so the ratio is 3 to 4. Be sure to show your work.
Answers
Answer:
12:16
Step-by-step explanation:
28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.
Solve. 3/4x + 6 = 33
explain the work please :,)
Answers
Answer:
x=36
Step-by-step explanation:
first take six away from both sides to get 3/4x=27
then divide 27 by the numerator 3 to get 9. Then multiply 9 by the denominator 4 to get 36. So 3/4 of 36=27+6=33
3/4x+6=33
We move all terms to the left:
3/4x+6-(33)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We add all the numbers together, and all the variables
3/4x-27=0
We multiply all the terms by the denominator
-27*4x+3=0
We multiply elements
-108x+3=0
We move all terms containing x to the left, all other terms to the right
-108x=-3
x=-3/-108
x=1/36
I hope this helps :)