Answers
Answer:
1. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}[/tex]
2. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{ \frac{6}{x + 1} = \frac{3}{x} }[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{6x = 3(x + 1)}}[/tex]
Distribute 3 through the parentheses
[tex] \dashrightarrow{ \sf{6x = 3x + 3}}[/tex]
Move 3x to left hand side and change it's sign
[tex] \dashrightarrow{ \sf{6x - 3x = 3}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{3x = 3}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 1}}[/tex]
The value of x is 1
---------------------------------------------------------------------
2. [tex] \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} [/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}[/tex]
Distribute 2 through the parentheses
Similarly, distribute 6 through the parentheses
[tex] \dashrightarrow{ \sf{2n - 2 = 12n + 48}}[/tex]
Move 12n to left hand side and change it's sign
Similarly, move 48 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2n - 12n = 48 + 2}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 10n = 48 + 2}}[/tex]
Add the numbers : 48 and 2
[tex] \dashrightarrow{ \sf{ - 10n = 50}}[/tex]
Divide both sides by -10
[tex] \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{n = - 5}}[/tex]
The value of n is -5 .
Hope I helped!
Best regards! :D
Related Questions
someone help meeee pleasee
Answers
95° because the angle is mirrored with the other side
The endpoints of CD are C (4,6) and D(-1, -1). Find the coordinates of the midpoint M.
Coordinates of midpoint M: OO
6
HELP ME PLEASE 20 POINTS
HELP
Answers
Answer:
The answer is
[tex]( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C (4,6) and D(-1, -1)
The coordinates of the midpoint is
[tex]M = ( \frac{4 - 1}{2} , \: \frac{6 - 1}{2} )[/tex]We have the final answer as
[tex]( \frac{3}{2} \: , \frac{5}{2} ) \: \: or \: \: (1.5 \: \: , \: \: 2.5)[/tex]Hope this helps you
I need help with my math homework
Answers
Answer:
what type of math is it?
Step-by-step explanation:
are the points 5,7 and 7,5 equal
Answers
Answer:
Example 2: If your answer is a decimal value such as two point five, it could be ... If y equals x cubed, plus 2 x, plus 5 and z equals x squared, plus 7 x, plus 1
Step-by-step explanation:
Sometimes you need to find the point that is exactly midway between two other points. For instance, you might need to find a line that bisects (divides into two equal halves) a ... For example, the number exactly halfway between 5 and 10 is: ... 3 + 4 2 ) \left(\dfrac{6.4 + (-10.7)}{2},\,\dfrac{3 + 4}{2}\right) (26.4+(−10.7),23+4).
BRAINLISET BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
number 16 and 17
justify each step
please answer quickly thank you
Answers
Then you divide each side by 3 to figure out that x=6.
17: multiply each side by 4 then divide each side by nine to figure out that x= -4
addition of unlike fractions 5/3 + 7/4
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}} [/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: \: \frac{5}{3} + \frac{7}{4}}} [/tex]
Convert the given fractions into like fractions.
To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.
To find out the L.C.M of given numbers,
First of all, find the prime factors of each numbers.
3 = 3 × 1
4 = 2 × 2 × 1
Take out the common prime factor i.e 1
Also take out the other remaining prime factors i.e 2 , 2 and 3
Now, multiply those all prime factors and obtain L.C.M
= 1 × 2 × 2 × 3 = 12
L.C.M of 3 and 4 = 12
[tex] \dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{20 + 21}{12}}} [/tex]
Add the numbers : 20 and 21
[tex] \dashrightarrow{ \sf{ \frac{41}{12}}} [/tex]
Convert the improper fraction into mixed fraction
[tex] \dashrightarrow{ \boxed{\sf{3 \frac{5}{12} }}}[/tex]
Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.
Hope I helped!
Best Regards!
~ TheAnimeGirl
Answer:
3⁵/12
Step-by-step explanation:
5/3+7/4=?
Get the LCM of the denominator which is 12
5×4=20
7×3=21
The fractions are now 21/12+20/12=41/12
Simplify 41/12 to get
3 whole number and 5 over 12 as a fraction
Robert's monthly bank statement showed the following deposits and withdrawals: -−$113.24, $98.07, -−$18.74, -−$98.17, $37.13 If Robert's balance in the account was $110.31 at the beginning of the month, what was the account balance at the end of the month? Answer: \$$
Answers
Answer:
The correct answer is −94.95
24, 43, 89, 15 Which two numbers are prime numbers?
Answers
Answer: 43 and 49
Step-by-step explanation:
Answer:
43, 89
Step-by-step explanation:
A prime number is any number above 1 that can evenly divide out.
Hope This Helps :)
What’s 3 tenths - 1 half ?
Answers
The sum of two numbers, x and y is 14. Twice the first number x and triple the second number y is 63. Find x and y.
Answers
Answer:
x = -21, y = 35.
Step-by-step explanation:
Use the elimination method:
x + y = 14
2x + 3y = 63
Multiply the first equation by -2:
-2x - 2y = -28
Add this to the second equation to eliminate x:
y = 35
So x + 35 = 14
x = 14 - 35
x = -21.
Please help me 5 points Xd
Answers
-10+4
Move the 4
Which equals -6
True or False: If a function crosses an axis at (a,0), this location is known as an x-intercept of the function.
Answers
Answer:
True
Step-by-step explanation:
Given
[tex]Location: (a,0)[/tex]
Required
Does the location represent the x intercept?
The general point form of a function is (x,y)
When y = 0;
This represents that the function crosses the y axis.
And whenever the function crosses the y axis, we have the x intercept of the function
Hence, the statement is true
Rewrite the following equation in slope intercept form Y+10= 1/4 (x+8)
Answers
Answer:
y=1/4x-8
Step-by-step explanation:
pemdas just move y to the side
Mrs.Brewer spent 11.52 for some pencils that were on sale for 0.72 each. how many pencils did she buy?
Answers
Answer: 16
Step-by-step explanation: I divided 11.52 by 0.72
What is the purpose of a reference point? to provide a standard system of measurement to establish a point from which to measure future distance, or if the movement has occurred to determine the speed of an object in miles per hour to provide a standard form which to evaluate variables in an experiment
Answers
Answer:
to establish a point from which to measure future distance
Step-by-step explanation:
The sum of a number and the quantity seven times the reciprocal of the number.
Answers
Answer:
Hey there!
The reciprocal of a number, n, is 1/n.
Thus, the answer is n+7(1/n)
Let me know if this helps :)
The volume of dry goods, like apples or peaches, can be measured usings bushels, pecks, and quarts. A bushel contains 4 pecks, and a peck contains 8 quarts. What is the relationship between number of bushels, b, and the number of quarts, q?
Answers
Answer:
1 bushel = 32 quarts
Step-by-step explanation:
It is given that,
No. of pecks in a bushel = 4
No of quarts in a peck = 8
We need to find the relationship between number of bushels, b, and the number of quarts, q.
No. of quarts in 4 pecks = 4×8 = 32 quarts
It would mean that there are 32 quarts in 1 bushel.
Hence, 1 bushel = 32 quarts
1. You have one-quarter cup of orange juice. Do you have enough to make the recipe? Explain.
2. You have 1/8 ounce of whole wheat grains. How many more ounces do you need to make the recipe?
Answers
Answer:
ehhfosfgdfukgjs,vbhsgkrdzca
Step-by-step explanation:
options:
A. Includes
B. Does not include
Answers
Answer:
The answer is A
Step-by-step explanation:
Just trust me
Find the length of a rectangular lot with a perimeter of 140 meters if the length is 4 meters more than the width. (P = 2L + 2W)
Answers
the length is 37 and the width is 33 if you add 33+33+37+37 you get 140
2 is subtracted from a number,and rhen the difference is multiplying by 5. the result is 30.find the number
Answers
Answer:
8
Step-by-step explanation:
x-2= x x×5=30 (make x the subject).So x=30÷5=6x-2=6x=6+2x=8Michelle purchased 2/4 of a pound of pastries for her family. She has to divide them equally among 6 family members. How many pounds of pastries did each family member receive?
Answers
Answer:
0.4
Step-by-step explanation:
Do 2/4 divided by 6.
Which of the following inequalities are true? Select all of the correct
comparisons.
477 > 8
0
- 4.5 <
3
03
10 < 9
< 1.2
Answers
477>80 is correct
-4.5<3 this one is also correct
Answer:
477>80
-4.5<3
Step-by-step explanation:
how do I simplify this expression?
Answers
Answer:
2
Step-by-step explanation:
Answer:
cube 8 so 8x 8x8=512divide by three 170.6
Step-by-step explanation:
170.666666667 is your answer please mark me brainliest
Martina purchased a prepaid phone card for $20. Long distance calls cost 21 cents a minute using this card. Martina used her card only once to make a long distance call. If the remaining credit on her card is $11.39, how many minutes did her call last?
Answers
20 - 11.39 = 8.61
861 cents.
861 / 21 = 41
if you are multiplying 4 negative fractions is the product positive or negative?
Answers
answer: positive
for example: -2 x -2 x -2 x-2
=4 x -2 x -2
=-8 x -2
=positive 16
Answer:
Positive
Step-by-step explanation:
When multiplying, any even number of negatives results in a positive answer. If multiplying an odd number of negatives, the product will be negative.
Can someone help me please
Answers
Answer:
b
Step-by-step explanation:
As x → + ∞ , y → + ∞ , as x → - ∞, y → - ∞
This means as x increases to the right, y increases up and as x increases to the left, y is increasing downwards
Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.
y
x
-10
10
-10
10
0
S
T
U
V
S(-7, -9)
→
S′(
9
,
-7
)
T(-7, 0)
→
T′(
,
)
U(-2, 0)
→
U′(
,
)
V(-2, -9)
→
V′(
,
)
Answers
Answer:
y axis, x axis, give a verticle coordinate
8 - 2(3х – 1) = x+ 9?
Answers
Answer:
x=1/7 or 0.14
Step-by-step explanation:
first you distribute: 8-6x+2=x+9
next combine like terms (8 and 2): -6x+10=x+9
then subtract 1x from both sides: -7x+10=9
then subtract 10 from both sides: -7x=-1
divide both sides by -7: x=1/7 or 0.14
Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
Answers
Answer:
x = - 4 y = - 4
Step-by-step explanation:
x+y= - 8
-9x-6y=60
First, solve for x in the first equation:
x+y = - 8 Subtract y from both sides
x + y - y = -8 - y y cancels on the left
x = - 8 - y
Now plug in what you found for x into the 2nd equation and solve for y.
- 9x - 6y = 60
-9(- 8 - y) - 6y = 60 Multiply out
72 + 9y - 6y = 60
72 + 3y = 60 Subtract 72 from both sides
72 - 72 + 3y = 60 - 72 72 cancels on the left
3y = - 12 Divie both sides by 3
3y/3 = -12/3 3 cancels on the left because 3/3 = 1
y = -4
Now plug your answer for y back into the first equation to get x.
x + y = -8
x + (-4) = - 8 Add 4 to each side
x - 4 + 4 = - 8 + 4 4 cancels on the left
x = -4
x = - 4 and y = - 4