Answer:
(2 n)/3-2/3 = n/6+4/3
(2 n)/3-2/3 = (2 n-2)/3:
(2 n-2)/3 = n/6+4/3
Put each term in n/6+4/3 over the common denominator 6: n/6+4/3 = n/6+8/6:
(2 n-2)/3 = n/6+8/6
n/6+8/6 = (n+8)/6:
(2 n-2)/3 = (n+8)/6
Multiply both sides by 6:
(6 (2 n-2))/3 = (6 (n+8))/6
6/3 = (3×2)/3 = 2:
2 (2 n-2) = (6 (n+8))/6
(6 (n+8))/6 = 6/6×(n+8) = n+8:
2 (2 n-2) = n+8
Expand out terms of the left hand side:
4 n-4 = n+8
Subtract n from both sides:
(4 n-n)-4 = (n-n)+8
4 n-n = 3 n:
3 n-4 = (n-n)+8
n-n = 0:
3 n-4 = 8
Add 4 to both sides:
3 n+(4-4) = 8+4
4-4 = 0:
3 n = 8+4
8+4 = 12:
3 n = 12
Divide both sides of 3 n = 12 by 3:
(3 n)/3 = 12/3
3/3 = 1:
n = 12/3
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
Answer: | n = 4
Step-by-step explanation:
Find the value of x if 12x =50× 50 − 38 × 38
Answer:
12x=50×50−38×38
12x=50²−38²
20x=(50+38)(50-38)
12x=88*12
x=88
Kim is solving the absolute value inequality |2x – 1| + 3 2x –1 rather than –3 –2.
Answer:fbf
Step-by-step explanation:
Andrea rented a canoe for 5 hours. The rental company charged her a $20 fee plus $5 per hour. Which graph best represents the rental company
charges?
Answer:
45
Step-by-step explanation:
5 times 5 is 25 plus 20 is 45 hope this helps
8x-9+53=180 solve for x
Answer:
x=17
Step-by-step explanation:
1: Simplify both sides of the equation.
8x−9+53=180
8x+−9+53=180
(8x)+(−9+53)=180(Combine Like Terms)
8x+44=180
8x+44=180
2: Subtract 44 from both sides.
8x+44−44=180−44
8x=136
3: Divide both sides by 8.
(8x=136 )/8
x=17
I put 12 when it was actually 11
If 95 of a is equal to b, then which of the following is ture?
a. 95 a=b b. ab
Answer: the answer is "a" 95a=b
Step-by-step explanation:
"of" means "multiply":
95a=b
can someone explain and answer this
Answer:
The vertex of the graph is (-1,0)
Step-by-step explanation:
A vertex has different definitions
It refers to the point where we have the axis of symmetry
It can also be the point at which the graph changes direction
From the graph we have here, the vertex lie on the horizontal axis
It has an ordered pair value of (-1,0)
what is the difference of 2/4 and 1/3?
Answer:
2/4-1/3= 6/12-4/12
=2/12
=1/6
PLS HELP ASAP 60 POINTS AND I'LL GIVE BRAINLIEST! What can you notice about the circumcenter, incenter, orthocenter, and centroid of a triangle? What can you notice about their relationship?
Answer:
The centroid is always between the orthocenter and the circumcenter. The distance between the centroid and the orthocenter is always twice the distance between the centroid and the circumcenter. In obtuse triangles, the circumcenter is always outside the triangle opposite the largest.... Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
Which fractions have the same value as -1/4? please help!!
(look at picture)
The fractions which have the same value as the fraction given; -1/4 among the answer choices are; -(-1/-4), -1/4 and 1/-4.
What fractions are equivalent to the given fraction; -1/4 as in the task content?It follows from the task content that the fractions which are equivalent to the given fraction; -1/4 are to be identified.
On this note, one must first identify that the quotient or product of like signs (+ or -) yields a positive sign while the quotient or product of unlike signs yields a negative sign.
Hence, the simplified form of the options are as follows;
-(-1/-4) = -1/4.-1/-4 = 1/4-1/4 = -1/4-(-1/4) = +11/-4 = -1/4.Hence, the correct answer choices are; -(-1/-4), -1/4 and 1/-4.
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45. find the probability of picking 1 vowel and 4 consonants when 5 letters are picked (without replacement) from a set of alphabet tiles\.\* *you may input your answer as a fraction or rounded to the seventh decimal.
The required probability is 0.45
We have total 26 letters in English, of which 21 are consonants and 5 are vowels.
According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.
Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.
So the probability is 5/26
Now, a letter has been selected, so in the set, we have 25 letters left.
In the next 4 selections, we must select consonants.
In the second selection the probability is 21/25
In the third selection the probability is 20/24
In the fourth selection the probability is 19/23
In the last selection the probability is 18/22
So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)
Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,
P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45
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Unit #2 - Lesson #7 Exit Ticket: Solve the equation shown below for the variable x. Place your answer in the answer box.
Answer:
[tex]x = bc + 2b[/tex]
PLEASE MARK ME AS BRAINLIEST
In the equation 4 x 4 = 16, 4 is a
Answer:
Is a natural Number
Step-by-step explanation:
Answer:
Is a Factor
Step-by-step explanation:
a family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon per minute showerheads. each member of the family averages 8 minutes in the shower per day. how many gallons will the entire family (5 people) save per day?
The entire family (5 people) save 120 gallons per day.
Subtraction:
Subtraction means we have to find the difference of the numbers.
Given,
A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon per minute showerheads.
Each member of the family averages 8 minutes in the shower per day.
Here we need to find the entire family savings per day.
According to the question,
The total bath time for the whole family is,
=> 8 x 5 = 40
So for one day,
If the showerheads cost 5 gallon per minute, then the cost for the family is,
=> 40 x 5 = 200
If the showerheads cost 2 gallon per minute, then the cost for the family is,
=> 40 x 2 = 80
So, the savings is,
=> 200 - 80
=> 120
So, they save 120 gallons per day.
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Rounded to the nearest tenth, the solutions of the equation are
.
Answer:
-.2, 2.4
Step-by-step explanation:
answer on edge
the sum of two numbers is 32 when 5 is subtracted from fourth and one of the number the result is 8 times the other number find the difference between the two numbers
We will need to use the substitution method to solve the question. The difference between the two numbers is 11.5
Substitution method is used to solve a system of equations. First the equation is solved for one variable and then the value is used in the other equation to solve for the other unknown variable. In this question we have been told the sum of two numbers is 32. Let us take the two numbers as x and y. Then we can say that
x+y=32 ...(i)
Next we know that when 5 is subtracted from 4 times one number the result is 8 times the other number, we can write it as
4x-5=8y
4x-8y=5....(ii)
So we have two equations
x+y=32
4x-8y=5
We will multiply equation (i) by 4 to cancel out x and solve for y
4x+4y=128
4x-8y=5
(-) (+) (-)
-----------------
12y=123
y=10.25
We substitute the value of y in equation (i)
x+y=32
x+10.25=32
x=32-10.25=21.75
We need to find the difference between two number which is x-y=21.75-10.25=11.5
Therefore we found out by substitution method that the difference between the two numbers is 11.5
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Use your answer to part a) to solve x squared + 7x + 12 = 0
Answer:
The is -12/7 or -1 5/7
Step-by-step explanation:
7x+12=0
-12 -12
7x=-12 divided by 7 on both sides hope this helps
Look at photo (10 points)
m perpendicular to q is the correct answer
Answer:
A, C and D
they all connect at a right angle. it is not b because p and q are parallel.
Brianna received the following test scores: 42/50, 80/100, and 75/90
She needs an average
of at least an 85% to qualify for a scholarship to U of M. What must be her
minimum score on her fourth and final test in order to qualify for the scholarship?
1) Change the fractions to percents :
2) Set up and solve your inequality:
3) Explain what your solution means for Brianna?
Answer:
answer
Step-by-step explanation:
80/100 - 80%
Ethan writes 1/6 pages in 1 1/2 minutes.How long will it take him to write a full page?
Answer:
33 Minutes
Step-by-step explanation:
Just take 11/2 time 6 and get 33 minutes.
3. What are the 4 components of an
Atom?
Answer:
The parts of an atom are protons, electrons, and neutrons. A proton is positively charged and is located in the center or nucleus of the atom.
Step-by-step explanation:
Answer:
The parts of an atom are protons, electrons, and neutrons.
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
What is the distance from
33, 5) to (33, -12)
Answer:
17
Step-by-step explanation:
so x stays the same, so you look at the y integers and to get to the negatives you have to go down 5 times, then 12 more to get to -12. So 5+12= 17
Hope this helps!!!!
Which is not a solution of the inequality?
-8x < 32
A.
−
1
2
B.
1
C.
0
D.
−
4
Which is not a solution of the inequality?
-8x < 32
A.
−
1
2
B.
1
C.
0
D.
−
4
Answer:
Answer= -4 hope it helps
Triangle ABC is graphed on a coordinate grid with vertices at A (-2, -4), B (2, -4) and C (0, 2). Triangle ABC is dilated by a scale factor of x with the origin as the center of dilation to create triangle A’B’C with the vertices A’ (-1, -2), B’(1, -2), C’ (0, 1).
Which rule best represents the dilation that was applied to Triangle ABC to create A’B’C’?
(x, y) (2x, 2y)
(x, y) (0.2x, 0.2y)
(x, y) (12x, 12y)
(x, y) (14x, 14y)
Answer:
The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:
(x, y) → (1/2x, 1/2y)
Step-by-step explanation:
Given the vertices of a triangle
A(-2, -4)B(2, -4)C(0, 2)After the dilation, the vertices of an image triangle be
A' (-1, -2)B '(1, -2)C' (0, 1)If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.
i.e. (x, y) → (1/2x, 1/2y)
verification
A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)
B(2, -4) → B'(2/2, -4/2) = B'(1, -2)
C(0, 2) → C'(0/2, 2/2) = C'(0, 1)
Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:
(x, y) → (1/2x, 1/2y)x-y+2z=3
-5x+4y-6z=-16
-4x-4y-6z=6
help
Answer:
x-y+2z=3
Step-by-step explanation:
EZ
what error did the student make?? PLEASE HELP ME
Answer:
He did an error because he multiplied equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
Step-by-step explanation:
Given the system of equations
3x-5y=4
-2x+3y=2
This is what student solved
6x - 10y = 8 Multiply equation 1 by 2
-6x + 3y = 6 Multiply equation by 2 by 3
_________
-7y = 14
y = -2
He did an error because he multiplied the equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
NOW, HERE IS THE CORRECT VERSION
6x - 10y = 8 Multiply equation 1 by 2
-6x + 6y = 6 Multiply equation by 2 by 3
_________
-4y = 14
y = -2/7
Last one!! please help!!! Thanks
Answer:
B) angle R=angle U C) angle S=angle V E) QR=TU F) QS=TV,
Step-by-step explanation:
Solve the linear system using Additional Elimination.
3x + 2y = 7
-3x + 4y = 5
Answer:
x = 1 y = 2
Step-by-step explanation:
3(1) + 2(2) = 7
3 + 4 = 7
-3(1) + 4(2) = 5
-3 + 8 = 5
I'll mark brainliest pls help pls
Answer:
1.6
Step-by-step explanation:
Because you divide 1/5 by 1/3 and you get 1.6. Make me brainliest!!!