Answers
Step-by-step explanation:
(7 + x) / 3 = 2x - 5
7 + x = 3(2x - 5) (multiply 3 on both sides)
7 + x = 6x - 15 (distributive property)
5x = 22 (arrange like terms)
x = 4.4 (divide 5 on both sides)
Related Questions
What could it mean to say there is a 100% decrease
in a quantity? Give an example of a quantity where this
makes sense.
URGENT PLEASE!!!
Answers
Question 1
Rationalise the denominator.
9
√7-2
Answers
Answer:
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6[/tex]
Step-by-step explanation:
Rationalizing the Denominator
Rationalizing the denominator means to get rid of any radicals in the denominator.
We use the conjugate of the denominator to rationalize. The conjugate of a binomial is obtained by changing the sign that is between the two terms while keeping the same order of the terms. For example, the conjugate of
[tex]\sqrt{7}-2[/tex] is [tex]\sqrt{7}+2[/tex].
We need to use the algebraic identity:
[tex](a-b)(a+b)=a^2-b^2[/tex]
Let's rationalize
[tex]\displaystyle \frac{9}{\sqrt{7}-2}[/tex]
Multiply numerator and denominator by the conjugate of the denominator:
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9}{\sqrt{7}-2}\cdot\frac{\sqrt{7}+2}{\sqrt{7}+2}[/tex]
Operate in the numerator and apply the identity in the denominator
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9(\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{(\sqrt{7})^2-2^2}[/tex]
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{7-4}=\frac{9\sqrt{7}+18}{3}[/tex]
Dividing:
[tex]\boxed{\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6}[/tex]
Solve for X
9x + 2 = 3
Give your answer as a fraction in its simplest form.
Answers
Answer:x=1/9
Step-by-step explanation:
1. subtract 2 from both sides
9x+2-2=3-2
2.simplify
9x=1
3.Divide both sides by 9
9x/9=1/9
4.simplify
x=1/9
Line d has a slope of Line e has a slope of 3/5. line e has a slope of 3/5. Are line d and line e parallel or perpendicular?
Answers
-4 + 2m=6 I cant figure this out can someone help me ?
Answers
Answer:
m = 5
Step-by-step explanation:
2x5 is 10
-4 + 10 = 6
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
m=5
Step-by-step explanation:
The following table shows the number of alligators in each body of water near Tom's house. Number of alligators 7,0,11,10 find the mean number of alligators
Answers
Answer:
I do not know but did you find it out?
Step-by-step explanation:
bbbbbbbeeeeeeeeeeeeeeeeeeeeeeep
The graph of the function f is shown. f(5) =
)
A
-5
B)
-1
0
D)
5
Answers
Answer:
The answer is 0
Step-by-step explanation:
because the x intercept is 5,0
Simplify the following by combining like terms: 10 + 7r+b-4r*
10+ 3r
O 10 + 3r + b
O 13r + b
Answers
Explanation trust in de way
could someone answer these?
Answers
hope this helps !! have a great day :))
To graph the equations (sorry i dont have a camera), use the up/down line and on the 6 put a dot, then move one space to the right, and four squares down to place your next dot. This is for y = -4x+6. To graph y = 4x - 2, go back to the up/down line, to the -2 part, and put a dot. then go to the right once, and up four times to place your next dot. when the lines connect, you should be able to find your point, at (1, 2)
£560 is divided between Kate, Nima & Roshana so that Kate gets twice as much as Nima, and Nima gets three times as much as Roshana. How much does Nima get?
Answers
Answer:
£168
Step-by-step explanation:
Amount to be shared = 560
Roshana's share = x
Nima's share = 3x
Kate's share = 2 * 3x = 6x
X + 3x + 6x = 560
10x = 560
x = 560 / 10
x = 56
Nima's share = 3x
Nima's share = 3* 56 = £168
Factor the expression completely. 10x^5 -7×^3?
Answers
Answer:
there is your answer hope that helps
Toy Universe is manufacturing a new toy and deciding on a price that will result in a maximum profit. The graph below represents profit (P) generated y each price of a toy (x).
**Graph is attached below (sorry the picture is bad quality)**
Part A: If the company wants to make a maximum profit, what should the price of a new toy be?
Part B: What is the minimum price of a toy that will produce profit for the company? Explain your answer.
Part C: Estimate the value of P(10) and explain what the value means in the problem and how this may be possible.
Part D: If the company wants to make a profit of $137, for how much should the toy be sold.
Part E:Find the domain that will only result in a profit for the company and find its corresponding range of profit.
Part F: The company owner believes that selling the toy at a higher price will result in a greater profit . Explain to the owner how selling the toy at a higher price will affect the profit.
Answers
Answer:
A: $6
B: $2.01
C: $0
D: $4.50 or $7.50
E: 0 ≤ x ≥ 10
F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.
Step-by-step explanation:
{Data Expunged}
someone help please?
Answers
Use “3” as “r” in the formula.
The population of a city increases by 2.7% per year. If this year's population is
197,000, what will next year's population be?
Answers
im not sure sorry
also make you 2021 be better than your 2020 and stay safe
Catherine buys 2.12 pounds of tomatoes, 1.45pounds of chicken and 3.19 20 points
pounds of onions from a supermarket. Find the total weight of the
groceries she bought.
Answers
Answer:
The answer is 6.762 pounds.
Step-by-step explanation:
2.12 + 1.45 + 3.19 20 = 6.762.
first to answer right gits brianlies
To evaluate a variable expression, you must__values for the variable, and then calculate the result.
Answers
Answer:
find is the Answer
Step-by-step explanation:
OI PLS ANSWER QUICK PLEASE I WILL GIVE BRAINLIEST
Answers
Answer:
16/81
Step-by-step explanation:
Answer:
The answer is 4
cause cancel out the 9 and divide 8and 2
For the current reaction, 2NO2 ↔ N2O4, we have:
Kc = [tex]\frac{[N_{2} O_{4}]}{[NO_{2}]^{2} }[/tex]
Concentration of NO2 = 11.95
Concebtration of N2O4 = 6.05
Based on the current concentrations of NO2 and N2O4, what is Kc?
Answers
[tex]\displaystyle K_c \approx 0.0424[/tex]
General Formulas and Concepts:Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightChemistry
Equilibrium
Equilibrium Constant KConcentrations - Denoted in [Brackets]Step-by-step explanation:Step 1: Define
[RxN] 2NO₂ ⇆ N₂O₄
[Equilibrium Rate Law] [tex]\displaystyle K_c = \frac{[N_2O_4]}{[NO_2]^2}[/tex]
NO₂ = 11.95 M
N₂O₄ = 6.05 M
Step 2: Find K
Substitute [ERL]: [tex]\displaystyle K_c = \frac{[6.05]}{[11.95]^2}[/tex]Exponents: [tex]\displaystyle K_c = \frac{[6.05]}{[142.803]}[/tex]Divide: [tex]\displaystyle K_c = 0.042366[/tex]Round (Sig Figs): [tex]\displaystyle K_c \approx 0.0424[/tex]This value of K tells us that the reactants are favored in the equilibrium reaction (K < 0.1).
Match the expression with an equivalent expression
6( n + 4 ) =
Answers
Answer:
6n + 24
Step-by-step explanation:
Use the distributive property.
6(n + 4) = 6 * n + 6 * 4 = 6n + 24
answers for the 3 boxes please
Answers
7*b=-1
7b=-1
Divide both sides by 7
So, the gradient of line b is -1/7
Answer:
-1/7
Step-by-step explanation:
What is the angle measurement for 3/8 of a circle ??
Answers
Answer:
3pi/11...
.
.
.
...
.
.
.
.
...
...
...
Answer:
135
Step-by-step explanation:
360/8=45
45x3=135
What is seen in the middle of March and April that can’t be seen at the beginning or end of either month?
Answers
Answer:
"r"
Step-by-step explanation:
Answer:
R is in the middle of March and April :)
Step-by-step explanation:
You have 25 coins that total $1.45. The only coins you have are quarters and pennies. How many of each coin do you have?
Answers
Answer:You have 4 quarters and 45 pennines
Step-by-step explanation:
The volume of a cube 512 cubic inches. What is the length of the cube?
Answers
Answer:
I believe it is 8in
Step-by-step explanation:
someone correct me if I'm wrong
How can you determine how long it took to
deliver 1 paper (at 9 papers in 18 minutes)
without drawing a bar diagram?
Answers
Answer:
Divide
Step-by-step explanation:
18/9 = 2
What is the value of the expression 2 to the fourth power + 3 to the second power
Answers
The answer is 25.
2^4 + 3^5 = 25.
Answer:
The person above me is correct :))
Step-by-step explanation:
solve by the method of elimination 2xy=3;3x+y_7
please answer me
meeeeeee
Answers
Answer:
x = 2 and y = 1
Step-by-step explanation:
Given equations are :
2x-y=3 ...(1)
3x+y=7 ...(2)
Add equation (1) and (2) as follows :
2x-y + 3x+y = 3 + 7
2x + 3x = 10
5x = 10
x = 2
Put the value of x in equation (1)
2(2)-y=3
4-y = 3
y = 4-3
y = 1
Hence, the solution of the given equations are (2,1).
evaluate _1001 3.
please guys this one answer me
please follow me
Answers
Answer:
here is your answer....
(1001)^3
(1000+1)^3
1000^3+3*1000^2*1+3*1000*1^2+1^3
1000000000+3*1000000+3*1000+1
1000000000+3000000+3000+1
ans: 1003003001 ..
I hope this will help you...
If A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $8. Each additional inch costs $1.50, and each additional topping costs $0.75.
Answers
Draw a line representing the rise and a line representing the run of the line state the slope of the line in simplest form
Answers
Start at -7 then go up to -6 then just go right 1