Answer:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]\displaystyle t=\frac{r}{r-3}[/tex]
And we are asked to make r the subject of the formula.
We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:
[tex]t(r-3)=r[/tex]
Distribute:
[tex]rt-3t=r[/tex]
Subtracting rt from both sides yields:
[tex]-3t=r-rt[/tex]
Factoring:
[tex]-3t=r(1-t)[/tex]
Divide and simplify:
[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Simplify 3/100 +33/100, correct to 1 decimal place.
Answer:
Step-by-step explanation:
3/100+33/100=36/100=0.36≈0.4(round to one decimal place)
find the location of A' given that A is (3,7) reflect across the x-axis the location of A' is (,)
Answer:
A' (3, - 7 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , thus
A(3, 7 ) → A'(3, - 7 )
The purpose of economic systems is
6[12-(5+2)]+6(4•|-6|)
Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)
Answer:
2x - 5 - x²
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 2x - 5 - x²
Are angles 1 and 2 a linear pair? Yes or no.
I WILL GAVE BRAINLIEST!!!!!!!!!!!!!!!!!!!
Answer:
31
Step-by-step explanation:
Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.
Step 1: Combine like-terms.
2x + 118 = 180
Step 2: Subtract 118 from both sides to isolate the variable.
2x = 62
Step 3: Simplify
x = 31
Which are monomials?
CHECK ALL THAT APPLY.
-7
a
x + y
1/x
24r^2st^3
ab/5
bx
Answer:
Step-by-step explanation:
Monomials have only one term each.
Thus:
-7 is a monomial
a is a monomial
x + y is NOT a monomial ; it has two terms and is thus a binomial
1/x is a monomial
24r^2st^3 is a monomial
ab/5 is a monomial
bx
[tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.
What are monomials?"Monomials are defined as the polynomial which represents a single term. This single may consist of two or more numbers and variables with highest exponents."
According to the question,
From the given terms,
-7 is a single term .
Therefore, monomial.
a is a single term .
Therefore, monomial.
x + y is not a single term .
Therefore, it is not a monomial.
[tex]\frac{1}{x}[/tex] is a single term .
Therefore, monomial.
[tex]24r^{2} st^{3}[/tex] is a single term .
Therefore, monomial.
[tex]\frac{ab}{5}[/tex] is a single term .
Therefore, monomial.
b x is a single term .
Therefore, monomial.
Hence, [tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.
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angie read 3 books in 5 days and each book contains 410 pages if angie reads if angie read the same number of books each day how may pages did she read a day
a.90
b.410
c.1,230
d.246
Answer:
D-246 pages.
Step-by-step explanation:
To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.
ANSWER 246
410*3(books)=1230 /5(days) =246
A computer programmer works 40 hours per week. what is the equation that relates to the number of hours "h" that the programmer works and the number of weeks "w" that the programmer spends working?
Answer:
h = 40w
Step-by-step explanation:
40 per week
hours = 40 x amount of weeks
h = 40w
Solve the equation.
6x = 5x + 22
x =
Answer:
x=22
Step-by-step explanation:
6x= 5x+22
6x-5x=22
x=22
Answer:
x = 22
Step-by-step explanation:
6x = 5x + 22
Subtract 5x from both sides.
x = 22
Mario travels 180 miles in 2.5 hours of Mario travels at the same right how far can Mario travel in 12.5 hours
Answer:
900 miles
Step-by-step explanation:
well if you have 12.5 and you divide it by 2.5 you get 5. I do this because you need to find out how many time 2.5 goes into 12.5 so you can then multiply 180 by that number. 180*5=900
Write an  equation of the line that passes through please (2, -2) and is parallel to line y=3x+9
Answer: y=3x-8
Step-by-step explanation:
To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.
y=3x+b
We can use the given point to find the y-intercept.
-2=3(2)+b [multiply]
-2=6+b [subtract both sides by 6]
b=-8
Now that we have found the y-intercept, we can finish our equation.
y=3x-8
Every month, Carmine's savings account pays 0.049% interest on the amount in the account. If
she has $1,100.00 in the account at the beginning of the month and doesn't withdraw any of it,
what will be the interest payment for this month?
$53.90
$49.00
$0.54
S0.49
Answer:
interest rate (r)=0.049%
principal (p) =1100
Time (t)= 1/12
interest = (1100*1/12*0.049)/100 = 0.045
please check question once
Si en una proporción geométrica continua, la media geométrica es 24 y la razón es 2/3 ¿Cuánto es la diferencia de los extremos?. a)18 b)20 c)24 d)16 e)12
-3x + y = 22
-12x – 10y=-10
Answer:
x = -5, y = 7Step-by-step explanation:
-3x + y = 22 ⇒ y = 3x + 22
-12x - 10y = -10 and y = 3x + 22
-12x - 10(3x + 22) = -10
-12x - 30x - 220 = -10
+220 +220
- 42x = 210
÷(-42) ÷(-42)
x = -5
y = 3(-5) + 22 = -15 + 22 = 7
6 over 7 subtracted by 1 over 7
Answer:
5/7
Step-by-step explanation:
6/7-1/7=5/7
The answer is 6/7 - 1/7 = 5/7
Step by step explanation is in the image below. :)
The whole numbers are the set of what numbers and zero ?
Answer:
An integer number is one that can be written without using fractions or decimals, and it is an expression of ( 1.2.3..... ) and 0, and negative numbers (- 1-2-3...... )
Plz help me I need help
Answer:
c has greatest ratio output with 0.6 compared to other
Step-by-step explanation:
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 4 and translated up 2 units.
Answer:
g(x) = 4|x| +2
Step-by-step explanation:
f(x) = |x|
y = f(x) + C C > 0 moves it up
g(x) = |x| +2 moves it up 2 units
y = Cf(x) C > 1 stretches it in the y-direction
g(x) = 4|x| +2 stretch by 4
We start off with: f(x) = |x|
c > 0 means move up
y = f(x) + c
2 units up
After: g(x) = |x| + 2
c > 1 means y-direction stretch
y = cf(x)
4 unit stretch
After: g(x) = 4|x| + 2
Best of Luck!
It costs $14.40 for 4.5 pounds of beef. How much is the beef per pound?
A - $2.30
B - $3.20
C- .32
Can anyone help me ???
The cost of one pound beef is $3.2
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Cost 4.5 pound of beef = $14.40
So, the unit rate for beef
= 14.40 / 4.5
= $3.2
Hence, the cost of one pound beef is $3.2
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Help quickly please~❤️❤️
Answer:
-6-b
Step-by-step explanation:
Solve this equation for x: 3x - (5x - 9) - 7- 4(x + 1)
Step-by-step explanation:
this is your answer..........
What is the quotient? Negative StartFraction 4 over 5 EndFraction divided by 2
Answer:
B
Step-by-step explanation:
It just is
Answer:
Its b
Step-by-step explanation:
I just took the test. Hope this helps <3
Is -5 a integer or rational or irrational?
Answer:
irrational
Step-by-step explanation:
Answer:
It's rational because it isn't a decimal with no end. To simplify it even more, it is an integer.
Step-by-step explanation:
if f(x)= -x^2 - 1, and
g(x)=x + 5, then
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(f(x))
g(-x^2 - 1)
-x^2 + 0x + 4= -x^2 + 4
x=3 (-3x-4)-6x. if x=3
simplify the following expressions ( use distributed property )
Answer:
ax + ab
Step-by-step explanation:
Step 1: Write expression
a(x + b)
Step 2: Distribute a to each term
ax + ab
[tex]\huge\boxed{Hello!}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
Now, let's use this property to simplify the given expression:
a(x+b)
ax+ab
This is our final answer.
[tex]\huge\boxed{\bf{Hope\;it\;helps!}}[/tex]
[tex]\huge\bold{Good\;luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
helppp first to answerr will be marked as brainlist
Answer:
A
Step-by-step explanation:
in the end of the sentence it mentions "in the future" so you need to make that verb future tense as well
I think the correct answer is A.
Explanation: It just makes the most sense to me. I dont really know how to explain it any better! Im sorry! I hope this helped!! :)
Use the commutative property to write an equivalent expression to 4g + 13, and show that they are equivalent for g = 10 and g = 2. Complete the statements. If you change the order of the terms you can create the equivalent expression . After substituting 10 for g, the expressions are and . After substituting 2 for g, the expressions are 4(2) + 13 and 13 + 4(2). The expressions are equivalent because they both have a value of when g = 10 and a value of when g = 2.
Answer: 1= ( 13 + 4g )
2= ( 4(10) + 13 )
3= ( 13 + 4(10) )
4= ( 53 )
5= ( 21 )
Step-by-step explanation:
The equivalent expression by cumulative property is,
[tex]4g+13=13+4g[/tex]
Commutative property :The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
[tex]a+b=b+a[/tex]
Given expression is, [tex]4g+13[/tex]
The equivalent expression by cumulative property is,
[tex]4g+13=13+4g[/tex]
For [tex]g=10[/tex],
[tex]4(10)+13=13+4(10)\\\\40+13=13+40\\\\53=53[/tex]
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