[tex]\displaystyle \frac{1}{x} +\frac{1}{3x} =4 \ \ ; \ \ x\neq 0 \\\\\\ \frac{3+1}{3x} =4 \\\\\\12x=4 \\\\ \boxed{x=\frac{1}{3} }[/tex]
The points (18,21) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer: 5/2
Step-by-step explanation: 49 - 42/ 21 - 18
The product of twice a number and four is the same as the difference of seven times the number and 2/7 Find the number.
Answer:
the number is -2/7
Step-by-step explanation:
let the number be x
2x ×4= 7x-2/7
8x = 7x-2/7
collect like terms
8x-7x = -2/7
X= -2/7
Simplify 2x2 + 3x2 + 3x
Answer:
10+3x
Step-by-step explanation:
2(2) = 4
3(2) = 6
4+6 = 10
10+3x
Answer:
Step-by-step explanation:
A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?
Answer:
$175.07 will be taken off
Step-by-step explanation:
287x61/100
17507/100
175.07
draw an ordered stem and leaf diagram to show infomation 245
Answer:
if asked to find stem leaf 245 scale key then 2 | 45 is what we could show to one side of the diagram.
We then use organise all numbers in numerical order lowest to highest in a horizontal list to copy.
Then draw a vertical line for your stem hopefully it is on lined paper.
single digits 1-9 go right side.
tenths get split keeping digits rights side
hundred units get split keeping tenth and single digits right side
and so forth so that nly the first number of larger numbers is on the left, just first digit. Being the first digit of numbers higher than 9.
Larger numbers that have 3 digits are more than double digits I've called 100th units
Numbers lower than 9 will be on rights side on the first line.
1-9 = 0 | 1 2 3 4 5 6 7 8 9
10-19 1 | 0 1 2 3 4 5 6 7 8 9
20-29 2| 0 1 2 3 4 5 6 7 8 9
100-110 = 1 | 00 01 02 03 etc.. becomes our first 100th line
We use thsi by counting how many numbers we have before drawing and by writing the scale key ie) 1|1 if 11 is shown etc. sometimes just called key.
Step-by-step explanation:
Identify the parallel lines.
Answer:
lines m and n
Step-by-step explanation:
Uhh parallel lines are basically lines that have the same slope.
There are only three lines, lines m, n, and t
It can't be t because it's traversing lines m and n
so it has to be lines m and n
Hope that helps, let me know if you have any further questions
Jimmy's Bike Rentals charges a $13 fixed fee plus $7 an
our for renting a bike. Amanda paid $55 to rent a bike. How
hany hours did she pay to have the bike checked out ?
Answer:
6 hours
Step-by-step explanation:
let the no. of hours she rent the bike be x
then,
13 + 7*x = 55
13 + 7x = 55
7x = 55 -13
7x = 42
x = 6
A company’s stock was selling at $20 a share. A month later, it was selling at $26 a share. What is the percent gain
Answer:
The percent gain would be 77952515`0%
Please help with showing the points in the table
Answer:
attached
Step-by-step explanation:
Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc
Write an equation of the line in point-slope form that passes through the given points. (4,6) and (5,9)
Answer:
graph{x + 2 [-10, 10, -5, 5]}
Step-by-step explanation:
Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?
Answer:
Junior author = $800
Senior author = $1600
Step-by-step explanation:
The check is split between the senior author and junior author in the ratio of 2:1
2:1 = $2400
Add the ratios together:
2 + 1 = 3
3 parts = $2400
Find one part of the total check by dividing both sides by 3:
1 part = $800
The junior author would get $800, and the senior author would get double, $1600Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?
Domingo earns 715$ in the week that is his gross income
Find the interval(s) on which the function is negative.
y = x^2 - 6x - 16
I. (-∞, -2)
II. (-∞, 3)
III. (-2, 8)
IV. (8,∞)
A. III only
B. I only
C. II only
D. I,II
Answer:
I am going to say that it is option A.
Step-by-step explanation:
I hope this helped out a lot!
please please help with question ill give high points and brainliest
Answer:
Step-by-step explanation:
i need the answer to the bottom question please help !!!!!!!!!!!!!!
Answer:
y = 9/17 x - 28/17
Step-by-step explanation:
PLEASE HELP FAST WILL MARK BRANLIEST!!
Which is the graph of y = 2(x - 3)2 + 2
The graph will look like this
Kylie signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph below. What does the slope of the line represent?
Answer:
we need the linear graph ._.
Step-by-step explanation:
There are 20 black, 15 white, 12 green, 12 red, 9 blue and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?
=============================================================
Explanation:
The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.
However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.
Consider the case of something like this sequence:
blackwhite greenredblueyellowblackwhitegreenredblueyellowblackAs you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.
Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.
For more information, check out the Pigeonhole Principle.
A child's weight was 200% what it was at age 3. by what percent did the child's weight increase by
Answer:
The child's weight increase by 66.7%
I need help on this question
Answer:
1 is equal
2 is greater
3 is greater
Step-by-step explanation:
2^3 x 2^5 is 32, and 2^5 is 32, meaning these are equal.
2^2 x 3^2 is 36, and 6^3 is 216, meaning 6^3 is greater.
2^3 x 3^2 is 72, and 6^2 is 36, meaning that 2^3 x 3^2 is greater.
Someone plz help me :(
Answer:
28 miles
Step-by-step explanation:
12:3
7:x
12÷3=4
4 miles per hour
7•4=28
HELP QUICKKKK!!!!!
(7g - 6) - (-3n – 4) =
Answer:
7g + 3n - 2
Step-by-step explanation:
when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive
for example, using the above statement we can rewrite the problem as:
7g - 6 + 3n + 4
we can combine -6 and 4 to get -2
7g + 3n - 2 or 7g + 3n + (-2)
How many solutions does this linear system have?
y = -6x+2
-12x - 2y = -4
one solution: (0,0)
O one solution: (1.4)
O no solution
O infinite number of solutions
Answer:
in finity
Step-by-step explanation:
Both provide ATP molecules, but only fermentation occurs when oxygen is present.
okokoo
The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of linear equations are y = -6x+2 and -12x - 2y = -4
To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.
-12x - 2y = -4
substitute y = -6x + 2 from first equation
-12x - 2(-6x + 2) = -4
Distribute the negative sign
-12x + 12x - 4 = -4
0 = 0
The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.
Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
can someone please help me with this? i don’t understand it at all
Answer: I’m pretty sure they are similar because they have the same interior degree.
Step-by-step explanation:
Raquel y Beatriz van a montar a caballo Raquel lo hace cada 3 días y Beatriz cada 4 días. Si coinciden el 24 de febrero
Si el año es ordinario, entonces Raquel y Beatriz se encontrarán el 8 de febrero, más si el año es bisiesto, entonces se encontrarán el 7 de febrero.
El período de coincidencia es el tiempo que pasa entre dos fechas en las que Raquel y Beatriz coinciden y queda determinado por el mínimo común múltiplo de los tiempos de frecuencia de cada una. En este caso, el período de coincidencia corresponde a 12 días.
Si tenemos que coincidieron el 24 de febrero, debemos considerar dos posibilidades: (i) Año ordinario, (ii) Año bisiesto.
Si el año es ordinario, entonces Raquel y Beatriz se encontrarán el 8 de febrero, más si el año es bisiesto, entonces se encontrarán el 7 de febrero.
Invitamos cordialmente a ver esta pregunta sobre mínimo común múltiplo: https://brainly.com/question/21756809
Nota - El enunciado se encuentra incompleto, la forma completa se describe a continuación:
Raquel y Beatriz van a montar a caballo. Raquel lo hace cada 3 días y Beatriz cada 4 días. Si coinciden el 24 de febrero, ¿cuando volverán a coincidir?
A certain monthly magazine has both print and online subscribers. Print subscribers are people who pay to have the magazine physically delivered to them each month. Online subscribers are people who pay to have access to the electronic version of the magazine. The editors of the magazine want to study how online subscribers feel about the design of the electronic version, and they will gather data from a sample. Which of the following is a sample of the population of interest?
a. 50 subscribers to the magazine
b. 50 print subscribers
c. 50 online subscribers
d. 50 people who buy a copy of the magazine at a newsstand
e. 50 people who find an article in the magazine while searching online
The sample population of interest is 50 online subscribers.
Sample population of interest is said to be the total number of people one is considering for a particular study. In this question, online subscribers. This means the total people being considered for making the particular study.
to learn more, visit https://brainly.com/question/16720016
Please tell me the answer up to e no.
(I think you need a-e, if not let me know and I will edit accordingly)
a: Divide both sides by 4
cm -> 12:8
3:2
b: Convert and divide both sides by 3
cm -> 150:9
50:3
c: Convert and divide both sides by 20
cm -> 100:80
5:4
d: Convert and divide both sides by 4
months -> 4:12
1:3
e: Convert and divide both sides by 250
g -> 2000:250
8:1
Hope this helps, have a nice day :)
factorise the following, with steps
Answer:
Step-by-step explanation:
1) Sum = - 9
Product = -36
Factors = -12 , 3 {-12 + 3 = -9 & -12*3 = -36}
3a² - 9a - 12 = 3a² + 3a - 12a - 12
=3a(a + 1) - 12(a + 1)
= (a + 1) (3a - 12)
2) 4a² + 38a - 20 = 4a² + 40a - 2a - 20
=4a(a + 10) - 2(a + 10)
=(a + 10)(4a - 2)
3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9
= 11a(a + 3) - 3(a + 3)
=(a + 3)(11a - 3)
One-fourth of a number is five-eights. Find the number. Simplify your answer
Answer:
2.50 or 2.5
Step-by-step explanation:
1/4=.25 so 25% of a number=5/8=0.625
So we multiply .625*4 to get the number. Since it's 25% and we want 100% to get it back to the original number
.625*4=2.50 or 2.5
