The process of isolating the variable is the primary step involved in solving an equation.
Thus, option (B) is correct.
A) Substitution refers to the act of replacing a variable with a known value in an equation, which can be a useful strategy in some cases but is not a fundamental step in solving equations.
B) To solve an equation, it is necessary to perform operations that isolate the variable on one side of the equation and keep the other side free of the variable.
C)To verify if the obtained solution satisfies the original equation, but it is not a step required to solve the equation.
D) It states that if a = b, then b = a.
It is a property that allows us to interchange the positions of two equal expressions in an equation but is not directly related to solving equations.
Learn more about Equation here:
https://brainly.com/question/18297169
#SPJ4
Question is attached.
Step by step explanation only!
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{\tan\theta}{ 1- \cot \theta} + \frac{\cot\theta}{1 - \tan\theta} = \frac{\dfrac{\sin\theta}{\cos\theta}}{1 - \dfrac{\cos\theta}{\sin\theta}} + \frac{\dfrac{\cos\theta}{\sin\theta}}{1 - \dfrac{\sin\theta}{\cos\theta}}[/tex]
Recall that tanθ = sinθ / cosθ. Likewise, cotθ = cosθ / sinθ. Then by substitution:
[tex]\displaystyle \begin{aligned} \frac{\tan\theta}{ 1- \cot \theta} + \frac{\cot\theta}{1 - \tan\theta} & = \frac{\dfrac{\sin\theta}{\cos\theta}}{1 - \dfrac{\cos\theta}{\sin\theta}} + \frac{\dfrac{\cos\theta}{\sin\theta}}{1 - \dfrac{\sin\theta}{\cos\theta}} \\ \\ & \stackrel{\checkmark}{=} \frac{\dfrac{\sin\theta}{\cos\theta}}{1 - \dfrac{\cos\theta}{\sin\theta}} + \frac{\dfrac{\cos\theta}{\sin\theta}}{1 - \dfrac{\sin\theta}{\cos\theta}} \end{aligned}[/tex]
Hence verified.
Given :
tan∅/1-cot∅ + cot∅/1-tan∅ = sin∅/cos∅ ÷ (1- cos∅/sin∅ ) + cos∅/sin∅ ÷ (1 - sin∅/cos∅)To Do :-
To prove LHS = RHSProof :-
We know that ,
sin∅/cos∅ = tan∅cos∅/sin∅ = cot∅On using above two in LHS ,
LHS = tan∅/1-cot∅ + cot∅/1-tan∅LHS = tan∅/1-cot∅ + cot∅/1-tan∅ = sin∅/cos∅ ÷ (1- cos∅/sin∅ ) + cos∅/sin∅ ÷ (1 - sin∅/cos∅) LHS = RHSHence proved !
a flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is 4 mph, what is the speed of the flying carpet in the air?
Answer:
The speed of the flying carpet in still air is 15.2 mph
Step-by-step explanation:
Answer:
15.2
Step-by-step explanation:
Do the math
Find the size of angle
Help help help please please
Answer:
[tex]4^6[/tex]
Step-by-step explanation:
We have a simple formula to follow:
[tex]a^{b} * a^d = a^{b+d}[/tex]
So the new equations is:
[tex]4^{-3+9} = 4^6[/tex]
The answer is [tex]4^6[/tex]
-Chetan K
Answer:
4^6
Step-by-step explanation:
please mark me as brainlest
A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.
Answer:
250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85 Adult tickets are $15 each and tickets are $5 each. Let X represent adult tickets. Let y represent child tickets Write an equation to model the total amount of money that they spent.The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
A lumber company is able to clear about 3 acres of dense forest each day. Assuming that, on average, each acre of forest contains 311.5 large sized trees, what is a good estimate of the number of large trees that the company could clear in 7 days?
A.
1,800 trees
B.
12,600 trees
C.
6,300 trees
D.
10,500 trees
40 as a percentage of 250?
Step-by-step explanation:
16 percent
Solving our equation for P
P% = Y/X
P% = 40/250
p = 0.16
Convert decimal to percent:
P% = 0.16 * 100 = 16%
Three friends split the cost of Dinner.Dinner was $24.18 How much did each friend s
spend.
I don't know what to do
Answer:
Each friend payed $8.06Step-by-step explanation:
You would just divide $24.18 by 3 considering the three friends are splitting
(DIVIDING) the cost amongst each other.
Hope this helps :]
pls make brainliest :3
and have an amazing day <3
A segmented bar graph can be used to illustrate... A. conditional distributions. B. a marginal distribution. C. a two-way distribution.
Answer:
C. a two-way distribution.
A segmented bar graph can be used to illustrate two-way distribution.
during the work week mrs. Jamison drive 75 miles each way to work if she works 21 days each month how far does she drive for the work during the month
Answer:
See below:
Step-by-step explanation:
So, the question asks how far she drives in a month, this probably includes going to work and coming back. Therefore, each day takes 2 times 75 which is 150!
Now, we know she goes 150 miles each day going to work and coming back. We can now multiply that by 21 to get out answer.
We can split 21 into 10 * 2 + 1 for our convenience.
150 times 10 is 1500 and that times two is 3000 added by 150 is 3150.
Then we get out answer; 3150 miles!
If this answer helped you, consider marking as brainliest :)
Butter Crate Snacks sends a selection of treats in the mail each month. Sidney bought a 4-month subscription for a friend. She used a one-time coupon and received $8 off the total cost. Sidney paid $40 in all. How much does each month normally cost?
Cost without coupon=40+ 8=$48
Total months=4
Cost of each month:-
[tex]\\ \sf{:}\dashrightarrow 48/4[/tex]
[tex]\\ \sf{:}\dashrightarrow 12\$[/tex]
The monthly cost of of the subscription without applied coupon is 12 dollars.
What is unitary method ?Unitary method is a mathematical technique for first finding the value of a single unit then deriving the given unit by multiplying with it.
According to the given question Butter Crate Snacks sends a selection of treats in the mail each month and Sidney bought a 4-month subscription for a friend.
She used a coupon of 8 dollars and the price she paid with coupon applies is 40 dollars.
∴ Price without the coupon is (40 + 8) dollars.
= 48 dollars.
So, 4 months of subscription costs 48 dollars.
∴ 1 month of of subscription will cost 48/4 dollars.
= 12 dollars.
learn more about unitary method here :
https://brainly.com/question/20349467
#SPJ2
What is the solution of the system
of equations?
2x + 5y = 20
Y=-2/5x-1
Answer:
no solutions
Step-by-step explanation:
Substitute -2/5(x) - 1 for y in 2x + 5y = 20
[tex]2x + 5(-\frac{2}{5}-1)=20[/tex] [tex]2x + (5)(\frac{-2}{5}x)+(5)(-1)=20[/tex] (Distribute)[tex]2x -2x - 5 = 20[/tex] (Simplify)[tex]-5 = 20[/tex] (Simplify)[tex]-5+5=20+5[/tex] (Add 5 to both sides)[tex]0 = 25[/tex]Therefore, the answer is no solutions.
The 2 figures are similar. Robert uses the proportion GH/PQ = GK/RQ to find RQ. What is roberts error? What proportion should he have used?
Answer:
Robert's error was dividing it by the other model. The formula he should have used was, "GK/KL = PQ/RQ"
Step-by-step explanation:
C-5/c+4=3/2 please solve
Answer:
c=2
Step-by-step explanation:
Firstly you should cross multiply. By doing that, we get:
2(c-5)=3(c-4)
Then, expand:
2c-10=3c-12
Then simplify.
-c-10=-12
-c=-2
c=2
Need help!
Describe in words the transformations that maps ∆ ∆′′′. Make sure that you include specific details(ie. Reflection – over which axis, Rotation – direction, degrees and center of rotation, Translation – direction(s) and number of units). 5 points
9514 1404 393
Answer:
clockwise90°originStep-by-step explanation:
The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.
__
∆ABC is transformed by a clockwise rotation 90 degrees with a center at the origin .
a crew is made up of 8 men. the rest are women . 66 2/3 of the crew are men. How many people are in the crew
Answer: 12, 33% or 1/3
Step-by-step explanation: 33% is 1 3rd, half of 66% is 33%, so half of 8 is 4, so 8+4=12. There are 12 people in the crew.
write as a decimal forty seven thousands
Answer:
47.000 is the answer for forty seven thousands I thinj
[tex]\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {Answer:}}}[/tex]
[tex]47.000 \: would \: be \: the \: answer[/tex]
[tex]\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {ChaEunWoo2009}}}[/tex]
#CarryOnLearning
1. What are some ways that you can tell they are scaled copies?
A scaled copy is a copy of an figure where every length in the original figure is multiplied by the same number. For example, triangle DEF is a scaled copy of triangle ABC. Each side length on triangle ABC was multiplied by 1.5 to get the corresponding side length on triangle DEF.
solve the equation 1/4 x + 2 = 6
Answer:
x = 16
Step-by-step explanation:
Step 1: Subtract 2 from both sides.
[tex]\frac{1}{4}x + 2 = 6[/tex] [tex]\frac{1}{4}x+2-2=6-2[/tex] [tex]\frac{1}{4}x=4[/tex]Step 2: Multiply each side by 4 in order to isolate x.
[tex]\frac{1}{4}x * 4 = 4 * 4[/tex] [tex]x = 16[/tex]Therefore, x = 6.
Hope you have a lovely rest of your day/night.
Answer:
x/4 + 2= 6 (1/4 × x = x/4)
x/4 = 4
x = 16
Solve the equation 88,405 x 54 = ___. (4 points) a 4,420,250 b 4,597,060 c 4,685,465 d 4,773,870
Answer:
D
Step-by-step explanation:
the correct answer is D) 4,773,870
Find three different fractions between 1/4 and 1/2. (They must not be equivalent fractions).
Answer:
1/3 2/5
Step-by-step explanation:
I don't know how to explain it here 2
In a recent year, 33.6% of all registered doctors were female. If there were 44,500 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number
Answer:
132,440
Step-by-step explanation:
In order to find out the total number of doctors, we must divide 44,500 by 33.6%. This will give you the total number of doctors from this specific data set.
Tell whether (2,3) is a solution of x+y<7
Answer:
yes, it is a solution
Step-by-step explanation:
when you plug the values in, the expression is true
x = 2
y = 3
2 + 3 = 5
5 < 7
what's 5 over 9 times 36
Answer:
[tex] \hookrightarrow \: { \tt{ \frac{5}{9} \times 36}} \\ \\ = { \tt{{ \frac{5}{1} \times 4}}} \\ \\ = { \tt{ \frac{5 \times 4}{1} }} \\ \\ = { \boxed{ \tt{ \: \: 20 \: \: }}}[/tex]
Answer:
I think its 20
Step-by-step explanation:
(5/9)*36=20
What is the unit rate of 4 ticket for 35$
Answer:35/5 = 8.75$ per ticket
Step-by-step explanation:
evaluate (mn)(x) for x= -3
(mn)(-3) =
Answer:
-3mn
Step-by-step explanation:
Part II.
1. Tara lives in a state where there is no sales tax. She bought 7 tacos and paid with a $20 dollar bill.
Her change was $9.50
a. Define the variable and represent the situation with
an equation:
b. Solve this equation using a graph.
c. Explain how you obtained the answer from the graph.
lanton comnuter. She already has
Answer:
7
Step-by-step explanation:
On a map, two cities are 5.75 inches apart. The scale of the map is 0.5 inch = 3 miles. What is the actual distance between the two towns?The local school district has made a scale model of the campus of Lakeside Middle School including a proposed new building. The scale of the model is 1 inch = 3 feet. An existing gymnasium is 13 inches tall in the model. How tall is the actual gymasium?
Please helpppppppppppppppppppppppppppppp
Answer:
29 meters per second
Step-by-step explanation:
That is the answer
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
it is 194% of $880.50
Step-by-step explanation:
here is the explanation:
https://www.percentagecal.com/answer/1708-is-what-percent-of-880