The solution to the equation is x = 21/4
What is Linear Equation in 1 variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution
Given data ,
The equation is x + 7/2 = 5x/3
Subtracting 7/2 on both sides , we get
x = 5x/3 - 7/2
x = ( 10x - 21 ) / 6
Multiplying 6 on both sides , we get
6x = 10x - 21
Adding 21 on both sides , we get
6x + 21 = 10x
Subtracting 6x on both sides , we get
4x = 21
Divide by 4 on both sides , we get
x = 21/4
Hence , the solution for x + 7/2 = 5x/3 is x = 21/4
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which describes the combined variation in the formula h=V/pie r2
Answer:
The correct option is (c).
Step-by-step explanation:
The combined formula is given by :
[tex]h=\dfrac{V}{\pi r^2}[/tex] ...(1)
h is height
V is volume
r is radius
It is clear from formula (1) that h varies directly with V and inverse;y with the square of r.
Hence, the correct option is (c).
Answer:
h varies directly with V and inversely with the square of r.
Step-by-step explanation:
(Since pie is a constant, it's not said in the "sentence")
I also just got it right on the quiz.
The blue dot is at what level on the number line
Answer:
The dot is at positive 4.
Analyze each step to identify if Andy made an error. Yes, he made an error in Step 1. He switched the x and y values. Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly. Yes, he made an error in Step 3. He should have subtracted 2 from both sides. No, his work is correct.
Answer:
Step 3, because the values for x for which y^1 < y^2 also include values between 3 and 5.
Step-by-step explanation:
Just took the test.
Answer:
c
Step-by-step explanation:
it just is
Solve for p.
8 = = 4(p – 17)
p =
Answer:
p=19
Step-by-step explanation:
Distribute:8=4p-68
76=4p
p=19
(can I get brainliest)
18 red buttons: 12 blue buttons as a fraction in simplest form
Answer:
3/2
Step-by-step explanation:
18 red buttons: 12 blue buttons
18/12
Divide the top and bottom by 6
18/6 = 3
12/6 = 2
3/2
Answer:
3/2
Step-by-step explanation:
18/12 can be broke down and easily simplified given the numbers are even.
18 divided by 2 = 9
12 divided by 2 = 6
9/6
18 divided by 3 = 6
12 divided by 3 = 4
6/4
Simplest form;
18 divided by 6 = 3
12 divided by 6 = 2
3/2
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Hope this helps!
What is the following quotient?
Answer: Choice B) [tex]\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\[/tex]
==========================================
Work Shown:
[tex]\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\[/tex]
This shows why choice B is the answer.
---------------
Explanation:
In the second step, I multiplied top and bottom by [tex](\sqrt{11}+\sqrt{3})[/tex]This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.So in general, if the denominator is [tex]\sqrt{a}-\sqrt{b}[/tex] and you want to rationalize the denominator, then you should multiply top and bottom by [tex]\sqrt{a}+\sqrt{b}[/tex]. The same applies in reverse as well.
This leads to the denominator becoming [tex](\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b[/tex]
Keep in mind that [tex]a \ge 0[/tex] and [tex]b \ge 0[/tex]
mr johnson is grading english essays hes determined that he must grade 124 essays and that he can grade 8 per day how many days will it take mr johnson to grade all of the english essays
Answer:
16
Step-by-step explanation:
It shows the mulitplication bettween eachother.
Un radar de l'armée américaine réussit à détecter tout ce qui se trouve à un rayon représenté
par cette inéquation :
5r + 9 > 10r - 126
Trouve l'ensemble-solution de cette inéquation.
Donne ta réponse en compréhension.
aider moi svp
Répondre:
r <27
Explication étape par étape:
Compte tenu de l'inégalité 5r + 9> 10r - 126
Nous devons trouver l'ensemble de solutions
5r + 9> 10r - 126
Ajouter 126 des deux côtés
5r + 9 + 126> 10r - 126 + 126
5r + 135> 10r
5r-10r> -135
-5r> -135
Divisez les deux côtés par -5 (notez que le signe changera)
-5r / -6 <-135 / -5
r <27
Par conséquent, les ensembles de solutions sont des valeurs inférieures à 27
8/12 = 2/9
What is the answer hurry please due today
Answer:
1/3
Step-by-step explanation:
2x2−3x−4=0 Solve using the quadratic formula.
Answer:
Step-by-step explanation:
2x2−3x−4=0
For this equation: a=2, b=-3, c=-4
2x2+−3x+−4=0
Step 1: Use quadratic formula with a=2, b=-3, c=-4.
x=
−b±√b2−4ac
2a
x=
−(−3)±√(−3)2−4(2)(−4)
2(2)
x=
3±√41
4
a) are the triangle similar
b) solve for x
Answer:
Yes, the triangles are similar because they have the same 2 angles congruent, and X=12.44
Step-by-step explanation:
A quantity with an initial value of 7800 decays exponentially at a rate of 2% every 3
years. What is the value of the quantity after 4.7 decades, to the nearest hundredth?
Answer:
5683.77
Step-by-step explanation:
I need help, I will give the brainiest
Also, KJL is 54
Answer:
Step-by-step explanation:
Traingle 72 LN
The number N(t) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, N(0) = 200,and it is observed that N(1) = 400. Solve for N(t) if it is predicted that the limiting number of people in the community who will see the advertisement is 20,000. (Round all coefficients to four decimal places.)n(t) = ?
9514 1404 393
Answer:
n(t) = 20,000/(1 +99e^(-0.7033t))
Step-by-step explanation:
One way to write the logistic function is ...
n(t) = L/(1 +a·e^(-kt))
where L is the maximum value and parameters 'a' and k depend on boundary conditions.
Here, we have n(∞) = L = 20,000 and n(0) = L/(1+a) = 200. We also have n(1) = L/(1+a·e^-k) = 400.
Solving for 'a', we get ...
n(0) = 20000/(1+a) = 200
20000/200 -1 = a = 99
Solving for k, we get ...
n(1) = 20000/(1 +99e^-k) = 400
20000/400 -1 = 99e^-k = 49
e^-k = 49/99
k = -ln(49/99) ≈ 0.7033
So, the desired function is ...
n(t) = 20000/(1 +99e^(-0.7033t))
the perimeter of a rectangle is 40m. one of the lengths or the sides is 5m. find the lengths of the other 3 sides.
The perimeter of a rectangle is 40m and one side of it is 5m. What is the length of the other side using an equation?
Perimeter of the rectangle =2(l+ b)=40m
If one of its side b=5, then l = (40/2)-5
= 20–5
= 15 m Therefore
Length= 15 cm
Breadth =5 cm
Answer:
perimeter means the total distance of all sides of a shape. Rectangle has 2pairs of 2 sides with the same length. If one is 5 the other pair would be 5. So 40-5-5 would be the total of the second pair , 30. 30/2=15. So there's 2 sides with 5m each, and another 2 sides with 15m each
the next model of a sport car will cost 14.9% more than the current model. The current costs $43,000. how much will the price increase in dollars ? what will be the price of the next model
Answer:
The price of the new model will be $49,407.
Step-by-step explanation:
Percentages
The current model of a sports car costs $43,000. The new model is expected to cost 14.9% more than the current model.
The increase is:
14.9% of $43,000
=14.9/100 * $43,000
=$6,407
The cost of the new model is:
$43,000 + $6,407 = $49,407
The price of the new model will be $49,407.
PLEASE HELPPPP!!!????!!?
Answer:
I might be wrong but I think it is c
Step-by-step explanation:
which statement best describes the solution to the system of equations?
Answer:
option a is correct
Step-by-step explanation:
I think
Answer:
D - It has a single solution: x = -3, y = 26.
Step-by-step explanation:
In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?
i’m not asking for much :(
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
mcfluffythebigrubberducky
5 - 2 (a + 3b) / 2 = ? / ?
Answer:
(5-2a+6b)/2
Step-by-step explanation:
According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2
Please help me asap
Answer:
She walked 1.5 miles, then 0.75 miles. Hence 1.5 + 0.75= 2.25 or 2 and 1/4 a milework out the subtraction equation of 5 1/4 divided by 2 5/7 equals
Answer:
calculater or hackmath
Step-by-step explanation:
Write the expression in exponential form.
3
4/16^
A)
1/4
13^
B)
3/16
4^
C)
16/3
4^
D)
3/4
16^
Answer:
B
Step-by-step explanation:
Line t has slope 3/4 and passes through (0.0). Follow these steps: Step 1:
Start at (0,0), Step 2: Move right 8 units. *
Answer:
6
Step-by-step explanation:
completing step 2 will land you at (8,0). you would just need to count up from there until you reach the line.
Simplify. 310−−√ please help me
Answer:
17.606
Step-by-step explanation:
root of 310 = 17.606
Answer:
√30/10
Step-by-step explanation:
calculator
Meredith buys a bag containing eight apples for $3.50. When she gets home, she realizes one of the apples is rotten, so she throws it away. What is the actual cost for each non-rotten apple, in cents?
Answer:
50 cents
Step-by-step explanation:
For an ellipse whose minor axis is vertical, how does the value of b compare to the distance from the vertices on the vertical axis to the center?
a. same c. no comparison b. different d. none of the above
Answer:
A
Step-by-step explanation:
i just took the lab assessment
i am new so i have no clue what i am doing but i have a question. what are the points for and what do you do with them?
Driving 65 mph, it takes Alicia 2 hours to reach the airport to go on vacation. It then takers her 2 hours to get to her destination with a jet traveling at a speed of 350 mph. How many miles does Alicia travel to get to her destination? *
10 points
765 miles
830 miles
480 miles
415 miles
I’m giving 30 points
Answer:
830 miles
Step-by-step explanation:
By car, she travels 65 mph for 2 hours. 2 multiplied by 65 equals 130. She then travels 350 mph for 2 more hours by plane. 2 multiplied by 350 equals 700. Add the two distances together and you get 130 + 700 = 830