Three is subtracted from a number, and then the difference is divided by eleven. The result is twelve. What is the
number?
Answers
Answer:
The number is 135.
Step-by-step explanation:
1) Form an equation
Three is subtracted from a number
⇒ [tex]x-3[/tex] (where x is "the number")
The difference is divided by 11
⇒ [tex]\displaystyle \frac{x-3}{11}[/tex]
The result is 12
⇒ [tex]\displaystyle \frac{x-3}{11}=12[/tex]
2) Solve the equation
[tex]\displaystyle \frac{x-3}{11}=12[/tex]
Multiply both sides by 11
[tex]\displaystyle \frac{x-3}{11}*11=12*11\\\\x-3=132[/tex]
Add 3 to both sides
[tex]x-3+3=132+3\\x=135[/tex]
Therefore, the number is 135.
I hope this helps!
Related Questions
3x (x - 2) = x^2 - 4
Answers
Answer:
x = 1, x = 2
Step-by-step explanation:
Given
3x(x - 2) = x² - 4 ← distribute parenthesis on left side
3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )
2x² - 6x + 4 = 0 ( divide through by 2
x² - 3x + 2 = 0 ← in standard form
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)
The factors are - 1 and - 2 , since
- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
Determine whether each of the following products is rational or irrational.
Expression
Rational
Irrational
77-18
-7,49
5
2
./II
Answers
Answer:
-irrational
-rational
-rational
-irrational
__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.
brainliest is appreciated :)
if the area is 1 then what is the side length of a square?
Answers
Answer:
1
Step-by-step explanation:
Since we are taking the area of a square, you can take the square root of its area to find the side lengths.
√1 = 1
Which linear inequality is represented by the graph?
Answers
Answer:
D
Step-by-step explanation:
The correct answer is D
Answer:
D
Step-by-step explanation:
y<2/3 x-1 is the answer
Hey guys ♡
hw r u all doin
pls solve this question for me ⤵️
(m-1)/2 - (m-2)/3 = ( m - 4 )/7
Answers
Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF
Answers
Answer:
HCF is 4
LCM is 336
Step-by-step explanation:
2/28 , 48
2/14 , 24
2/7 , 12
2/7 , 6
3/7 , 3
7/7 , 1
1 , 1
HCF is 2 × 2 =4
LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336
3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45
Answers
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.
According to the question;
We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.In essence, x is the no. of miles driven in this scenario.
By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.
Read more:
https://brainly.com/question/2319353
sin 0= 20/29. Find tan 0.
Answers
Answer: D) 20/21
Explanation:
Recall that sin(theta) = opposite/hypotenuse.
sin(theta) = 20/29 tells us that 20 is the vertical side while 29 is the hypotenuse. Note how the vertical side is opposite the reference angle theta.
Use these two sides to find that the missing side is 21. You'll need the pythagorean theorem a^2+b^2 = c^2.
Once you determine that the adjacent side is 21 units long, we can then say,
tan(theta) = opposite/adjacent = 20/21
Answer:
D. 20/21
Step-by-step explanation:
Round 5,693.251 to
thousands
and
tenths
Answers
Answer:
5693.251 = 5693.251, rounded to thousands (no change)5693.251 = 5693.3 rounded to tenths (rounded up as hundredths digit is 5)Step-by-step explanation:
Nearest thousandth = 5693.251
Nearest tenths = 5693.3
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Answers
9514 1404 393
Answer:
x = (√2)/2
Step-by-step explanation:
The diagonal is √2 times the side length (x), so ...
1 = x√2
√2 = 2x . . . . . multiply by √2
(√2)/2 = x . . . . divide by 2
The side length x is (√2)/2.
for what value of x does 4^x=(1/8)^x+5?
Answers
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
4[30-(10-2)x3] what is the answer?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{4[30-(10-2)\times3]}}[/tex]
[tex]\huge\boxed{\rightarrow\mathsf{4[30 - (\bold{8}}) \times3]}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{4[30 - \bf 24]}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{4(30) + 4(-24)}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{\bf 120 - 96}}}[/tex]
[tex]\huge\boxed{\rightarrow\mathsf{\bf 24}}[/tex]
[tex]\huge\boxed{\rm{Answer: \mathsf{24}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
24Step-by-step explanation:
4[30 - (10 - 2)*3] = 4[30 - 8*3] =4[30 - 24] = 4*6 = 24La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answers
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
A phone company charges each customer a monthly fee of $11.25. In addition, it charges $0.03 per minute for in-state calls and $0.11 per minute for out-of-state calls. What is the total monthly charge for a customer who made 340 minutes of in-state calls and 84 minutes of out-of-state calls?
Answers
340 x 0.03 = 10.2 (in state)
84 x 0.11 = 9.24 (out of state)
10.2 + 9.24 + 11.25
= $30.69 monthly charge
hope it helps :)
The total monthly charge for a customer is given as $30.69.
What is simplification?Simplifying allows us to test each process and strategy to determine which is the most efficient and best suited for its specific goal.
here,
A phone provider costs each customer $11.25 per month. Furthermore, it charges $0.03 per minute for in-state calls and $0.11 for out-of-state calls.
Charge within the boundary of state for 340 minutes = 340 x 0.03 = 10.2
Charge beyond the boundary of state for 84 minutes = 84 x 0.11 = 9.24
Total monthly charge = 10.2 + 9.24 + 11.25
= $30.69 monthly charge
Thus, A customer's total monthly price is shown as $30.69.
Learn more about simplification here:
https://brainly.com/question/12501526
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I need help to find Y =
Answers
Answer:
3
Step-by-step explanation:
Use the function below to find F(-4).
F(x) = 2^x
Answers
Answer:
Step-by-step explanation:
F(x)=2^x
[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]
When x + y = 30 and x < 13, which of the following must be true?
y = 30
y > 17
y = 17
y < 17
y > 30
Answers
Answer:
y>17
Step-by-step explanation:
[tex]x + y = 30 \\ 13 + y = 30 \\ y = 17 \\ for \: x < 13 \\ y > 17[/tex]
Answer:
y>17
Step-by-step explanation:
x+y=30
x<13
What + 13 is 30?
17. So if x+y=30. Because x will be less than 13, y must make up the differnce by being greater than 17.
Ex: x=12
y+12=30
y=18
18 is greater than 17.
This is a great way to check because if your not sure, it elimates the other options!
Hope this helps!
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
Answers
Answer:
The Polynominal is not shown. So how can i answer???
Step-by-step explanation:
Thank You! Hope it helps! Please Mark me brainliest!
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct?
Answers
Answer:
No, because they are parallel.
Step-by-step explanation:
The lines [tex]p[/tex] and [tex]m[/tex] will not intersect, so Kevin is not correct.
It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.
Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.
So, line p and m will not intersect.
Thus the answer is " No, because they are parallel."
Answer:
Step-by-step explanation:
no, because they are parrallel.
-2x + 8 = -26
plz help!!!!!!!!!!!!!
Answers
Answer:
x = 17
Step-by-step explanation:
-2x + 8 = -26
Subtract 8 from each side
-2x + 8-8 = -26-8
-2x = -34
Divide each side by -2
-2x/-2 = -34/-2
x = 17
Answer:
The answer is x=17
Step-by-step explanation:
−2x+8−8=−26−8
−2x=−34
−2x /−2 = −34 /−2
x=17
Y+y+y+y rewrite in multiplication
Answers
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
Which function can be used to find r, the total amount the teacher pays in dollars when
z scissors are ordered?
A teacher is ordering scissors for her classroom.
• the teacher pays a one-time fee of $8.
• the teacher also pays $2 for each pair of scissors ordered.
Answers
To find the total, 2 times the number of scissors plus 8 for delivery
answer please it's urgent
Answers
Answer:
HOPE IT HELP YOU . Plz tell me if it is write or wrong .
= X
20
100
60
Please help me
Answers
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
What is the domain of the function shown in the table?
X
-2
-1
0
1
y
0
1
2
3
A. (-2,-1,0,1,2,3)
B. {-2, -1,0,1)
C. {0, 1, 2, 3)
D. (-2, 0),(-1,1),(0, 2), (1,3)
Answers
Answer:
{ -2,-1,0,1}
Step-by-step explanation:
The domain are the values for the input
Domain { -2,-1,0,1}
Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.
Answers
Answer:
g(x) = -2(x - 6) - 7
Step-by-step explanation:
Sorry if I'm wrong
In the diagram, what is the measure of angle 1 to the nearest degree?
33 degrees
55 degrees
75 degrees
105 degrees
Answers
Answer:
75 degrees
Step-by-step explanation:
From the first part of the diagram,
vertically opposite angles are equal,
hence we have
125° + (4x-5)° + 125° + (4x-5)° = 360°
(Angles about a point equals 360°)
4x – 5 + 4x – 5 + 125 + 125 = 360
8x + 250 – 10 = 360
8x = 360–250 + 10
8x = 120
x = 15°
Now we have (5x)° in the second part.
5x = 5 × 15 = 75°
1 is vertically opposite to angle 75°
hence it is equal to 75 degrees.
Answer:75
Step-by-step explanation:
Which value is the closet approximation of the square root of 27
A 4.5
B 5
C 5.5
D 5.9
Answers
the actual answer is 5.1 so round it down and it is 5
Please help I don’t understand math
Answers
Answer:
x = 12
Step-by-step explanation:
The sum of the two smaller angles is 140
80+5x = 140
Subtract 80 from each side
80+5x-80 =140-80
5x = 60
Divide each side by 5
5x/5 = 60/5
x = 12
Simplify the complex number √-16+8.
Answers
Answer:
[tex]\sqrt{-16} +8[/tex]
[tex]=4i+8[/tex]
OAmalOHopeO
