Answer:
1/12
Step-by-step explanation:
1/4 divide by three= 1/4*1/3=1/12
Answer: 1/4 ÷ 3 = 1/12
Explanation: In order to divide fractions, you must follow these 3 simple steps:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal.
Step 3. Simplify the fraction (if needed).
If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.
Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
Answer:
The roots are 1 and 3.
k = 3.
Step- by-step explanation:
We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and α β = c/a.
The roots are written as α and α+2, then:
α + α + 2 = -(-4)
2α + 2 = 4
α + 1 = 2
α = 1
also
α (α + 2) = k
Substituting for α:
1(1 + 2) = k
k = 3.
The roots are 1 and 1 + 2 = 3.
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
-21z-35t+21g
Step-by-step explanation:
Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g
HELP ME PLEASE, I need help and don’t understand at all !
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Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6
Answer:
5 tickets
Step-by-step explanation:
45 - 6.75 = 37.35
37.35 ÷ 4 = 9.3375
So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets
HELP HURRY PLS
What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x
Answer:
y = 2/3x
Step-by-step explanation:
Write as a monomial in standard form
(3x*3y)\x*y
[tex] \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9[/tex]
Answer:
9
Hope you could get an idea from here.
Doubt clarification - use comment section.
3/5 x (1/5 + 4/5) What is the answer
Answer:
The answer is 0.6
Step-by-step explanation:
Please help!
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 4 seconds, the rock is traveling 128 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
Part A:
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
Part B:
s = 32t
s = 32 * 5 = 160 feet per second
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Height of the cliff = 500 feet
Speed after one second = 32 feet per second
Speed after four seconds = 128 feet per second
2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
3. Use the equation to determine the speed of the rock 5 seconds after is dropped.
s = 32t
s = 32 * 5 = 160 feet per second
What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
Answer:
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope of line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then
y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form
To find c substitute (3, 2 ) into the partial equation
2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line
Find the roots 5x^2+16=7x^2/3
Answer: I Got No solution for this problem
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
No solution
please show work
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answer:
34.2 m
Step-by-step explanation:
We know that
Area of parallelogram = Base × Height
690.84 = B × 20.2
690.84/20.2 = B
34.2 = B
Hence,
Base of parallelogram is 34.2 m
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Here we've been given:
Area of parallelogram (A) = 690.84 m²Height (H) = 20.2 m Length of base (B) = ?[tex]:\longrightarrow\tt{Area \: of \: parallelogram = Base \times Height} \\ \\ :\longrightarrow\tt{690.84 = B \times 20.2} \\ \\ :\longrightarrow\tt{ \frac{690.84}{20.2} = B} \\ \\ :\longrightarrow\tt{34.2 = B} \\ \\ :\longrightarrow\tt{B = 34.2 \: m}[/tex]
The length of base is 34.2m.Michele
wants to save $150 for a trip to the Sox Flags amusement park. she saves $12 each week, how
weeks will it take her to save enough money for the tri?
Answer:
Twelve and a half weeks
Step-by-step explanation:
Answer:
12 and a half weeks
Step-by-step explanation:
150/12=12 and a half since she takes 7 days to earn 12 dollars, 12x12 and 1/2=150
Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response.
Answer:
50
Step-by-step explanation:
she pays 10 in a flat fees and 2 dollars a minute so you multiply the 2 by 20 and add 10
PLEASE HELPPP!!
Find the value of X.
Which of these is always true?
A. Two lines that are the always same distance apart are perpendicular.
B. Two lines that are always the same distance apart are parallel.
C. Two lines that share common end point are always perpendicular.
D. Two lines that share common end point are always parallel.
Answer:
B
Step-by-step explanation:
(Meeting character limit)
solve for A and line AB
Answer:
a = 22
AB = 50
Step-by-step explanation:
[tex]a-5=17[/tex]
[tex]a=17+5[/tex]
[tex]a=22[/tex]
Line AB=2a+6
[tex]2(22)+6=44+6=50[/tex]
[tex]AB=50[/tex]
Hope this helps
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
The quadratic function f(x)= x^2-14x+53 is equal to zero when x=a+ or - bi
What is the value of a?
What is the value of b?
Answer:
A= 3x B= 6/8
Step-by-step explanation:
The value of a is 7, and the value of b is 2√(2) for the given quadratic function f(x) = x² - 14x + 53.
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The quadratic function f(x) = x² - 14x + 53 is equal to zero when x = a + bi or x = a - bi. This means that the roots of the quadratic equation are a + bi and a - bi.
The roots of a quadratic equation can be found using the quadratic formula:
x = (-b +/- √(b² - 4ac)) / (2a)
In this case, a = 1, b = -14, and c = 53. Substituting these values into the quadratic formula, we get:
x = (-(-14) +/- √((-14)² - 4153)) / (2*1)
x = (14 +/- √(196 - 212)) / 2
x = (14 +/- √(-16)) / 2
Since the square root of a negative number is an imaginary number, the roots of the quadratic equation are a + bi and a - bi, where a = 14/2 = 7 and b = √(-16)/2 = 2√(2).
Therefore, the value of a is 7, and the value of b is 2√(2).
Learn more about quadratic function here:
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does the table represent a function, -3, 6, -2,9, 0,4, -2,5
Answer:
No. There are two solutions to the point x=-2: 9 and 5.
Step-by-step explanation:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa
Usando proporciones, se encuentra que 400 africanos han participado.
En total, hay x participantes.
[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:
[tex]E = \frac{5x}{6}[/tex]
Los americanos son la dècime parte de los europeos, o sea:
[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]
Los africanos son la quinta parte de los americanos, o sea:
[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]
En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:
[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.
Step-by-step explanation:
An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
A table shows the price of two stocks. Stock A, 9.50 dollars; Stock B, 27 dollars.
Answer:
109.5890410958904
Step-by-step explanation:
thats the shares that the investor owns
What is -7w-4-5w+13 simplified?
10. Given m and b, write the equation of the line:
m= -4; b = 2
Answer:
y = -4x + 2
Step-by-step explanation:
May I please receive help?
Are you looking for a acute angle?
Answer:
Its right angel
Step-by-step explanation:
Sorry if m wrong
HELP ME PLEASEEEE
6(p+2.25)=15 9/10 DUE RIGHT NOWWWW
Answer:
p=2/5
p=0.4
Step-by-step explanation:
Answer:
p=2/5
Step-by-step explanation:
6p+13.5=159/10
Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?
Answer:
The tax is 8%
Step-by-step explanation:
Take the final price and subtract the original price
513-475 = 38
Divide by the original price
38/475 =.08
Change to percent form
8%
The tax is 8%
Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6
Answer:
D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.
Step-by-step explanation:
Helpppp asapppppppppppppp 15 points
Answer:
Last one
Step-by-step explanation:
17 times 3 is 51
Answer:
is it the first one
Step-by-step explanation:
cause
51 divide by 3 is 17
What’s the domain and range for this? And is it a function? Yes or No
You are given the domain and range ( the numbers in each oval):
If There is more than one arrow connected to a number, that number is listed the same amount
Domain (-4,0,6,6)
Range (12,18,18,40)
To be a function each input value ( Domain) can only have one output value (range)
Because the 6 has two different outputs ( 12, 18) this is not a function.
Answer:
The input 6 (domain) leads to two outputs thus it is not a function.
Step-by-step explanation:
Malcolm took 18 minutes to do 15 math problems. Diedra took 17 minutes to do 16 math problems. Which student did more problems per minute?
The student that did more maths problems per minute is Diedra.
In order to determine which student did more maths problems per minute, the rate of each student has to be determined. Rate is the total questions solved divided by the time.
Rate = total questions / total time
Malcolm = 15 / 18 = 0.833 problems per minute
Diedra = 16/ 17 = 0.941 problems per minute
To learn more about rate, please check: brainly.com/question/9834403