2x + 6/3x-9 + 1/3 = x+6/3x-9
The value of variable x of the provided equation is equal to the fraction number 1/3.
What is the solution of equation?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.
The given expression is:
[tex]2x + \dfrac{6}{3}x-9 + \dfrac{1}{3} = x+\dfrac{6}{3}x-9[/tex]
The equation has been solved for x. Cancel out the terms appears in both sides of the equation and has similar sign.
[tex]2x + \dfrac{6}{3}x-9 + \dfrac{1}{3} = x+\dfrac{6}{3}x-9\\2x + \dfrac{1}{3} = x[/tex]
Take the variable one side of the equation and constants other side of it.
[tex]2x-x=\dfrac{1}{3}\\x=\dfrac{1}{3}[/tex]
Thus, the value of variable x of the provided equation is equal to the fraction number 1/3.
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The difference betneen x ond 4, where 4 is greater than x
This can be written as,
x - 4 > 10Why?✓ We use the operation of subtraction since the terms used is difference. Difference is the result when you subtract numbers.
✓ The symbol for greater than is >. Therefore, you'll have x - 4 > 10 as an answer.
1 × 10^ − 4 ) + ( 2 × 10^ − 2 )
Answer:
[tex]2.01 *10^{-2}[/tex]
Step-by-step explanation:
this is the correct answer
Find the volume of this rectangular pyramid.
Be sure to include the correct unit in your answer.
6 m
7 m
9 m
Answer:
378 M -small 3 that goes on on top right side of the M.
Step-by-step explanation:
you multiply the 6m x 7m x 9m = 378 m to the 3rd power
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required
Answer:
n = 400
Step-by-step explanation:
The formula for the error in our estimate is given by:Standard Error : √ ( p(1-p)/ n)Error = SE = Zα/2 √ ( p(1-p)/ n) where Zα/2= critical value for 95% confidence level = 1.96and we know our error is 3.5 %But we do not the sample proportion p. Then what we can do is give an estimate of p in the absence of any other information.In this case we will use p= 0.5 which is the value that maximizes the expression for the standard error :if p = 0.8 then SE= 0.040 p = 0.3 then SE =0.036 p = 0.1 then SE = 0.030 p = 0.5 then SE = 0.050Substituting3.5/100 = 1.96 x √ (( 0.5 x 0.5 ) /n )3.5/ (100 x 1.96 x 0.5 ) = 1/ √n0.0357 = 1 /√n n = 20²
Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of the graph
Maximum = 4 [highest value past which no values are part of the graph]Domain : all real numbers [graph is vertical, so it will be all possible real numbers]Range : y ≤ 4 [all y values are less than or equal to 4 according to the graph]Imad and Amra are butterflies. Imad drinks 3 grams of nectar a week. Amra drinks 2 grams of nectar a week. How many grams of nectar do they drink all together after 4 weeks?
Answer:
20 grams
Step-by-step explanation:
3+2=5 grams for 1 week
5x4=20
Madelyn is knitting a scarf for a holiday gift. So far, it's 4.5 centimeters long. She plans to
knit every night, adding 5 centimeters per night.
Write an equation that shows the relationship between the number of nights Madelyn spends
knitting, x, and the length of the scarf in centimeters, y.
y =
In order to make the question true the length should be 45cm not 4.5 cm , Solving accordingly
Let nights be xRate of change=5cmThe equation is
y=45-5xAs 45 is base amount we used it as y intercect
This means that the length of the scarf after x nights can be represented by the equation y = 4.5 + 5x.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To create an equation that shows the relationship between the number of nights Madelyn spends knitting, x, and the length of the scarf in centimeters, y, we need to consider the information given.
We know that the scarf is currently 4.5 centimeters long, and Madelyn plans to add 5 centimeters per night.
This means that the length of the scarf after x nights can be represented by the equation:
y = 4.5 + 5x
In this equation,
x represents the number of nights Madelyn spends knitting and y represents the length of the scarf in centimeters after x nights.
Thus,
The initial length of the scarf, 4.5 centimeters, is added to the length of the scarf Madelyn knits in x nights, which is represented by the product of 5 and x.
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A binomial experiment is performed a fixed number of times. Each repetition of the experimental is called a
Answer:
It's called a Trial
Step-by-step explanation:
The Experiment is performed a fixed number of times. Each repetition of the experiment is called a trial.
This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
needed to completely cover the backyard.
Step-by-step explanation:
that is a tiny, tiny backyard ...
what I see immediately is that the area is a combination of multiple simple figures :
1 square on top,
1 smaller rectangle in the middle,
1 larger rectangle at the bottom.
we only need to calculate the areas of all 3 figures and then add then up for the total.
that's it.
the top square is easy :
it is a 3cm×3cm square, so the area is 9 cm²
the bottom rectangle is also easy :
it is a 10cm×3cm rectangle, so the area is 30 cm²
for the dimensions of the middle rectangle we need to think a little bit :
the width (or "height") is clear : 3 cm.
what is the length ?
the answer is given by some other pieces of information in the diagram. look closely : is the length of the middle rectangle not the same as the sum of the side length of the top square (3 cm) and the top side segment left of the top square : 2 cm ?
yes, it is, so the length is 3+2 = 5 cm.
and the middle rectangle is 5×3 = 15 cm².
so, the total area is
9 + 30 + 15 = 54 cm²
this is a backyard for Barbie and Ken ...
Amount of grass in the backyard is 0.641 square yards
What is a square?
Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.
How to find the area of a square?Area of a square can be found by squaring the length of one of its sides.
What is a rectangle?Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.
How to find out area of a rectangle?Area of a rectangle can be found by multiplying its length by its breadth.
How to calculate the area in the given problem?The given figure is a combination of multiple figures.
1 square of length 3 cm on top1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.We will have to calculate these areas and sum up the areas to get the entire area.Area of the square at the top = ( 3 x 3) cm² = 9 cm²Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²Area of the bottom rectangle = (10 x 3) cm² = 30 cm²∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²
Amount of grass in the backyard = (54 x 0.109² ) square yards
= 0.641 square yards ( 1 cm = 0.109 yards)
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4/3y =16 what does y equal
Find the volume of this shape
Answer:
141.37
Step-by-step explanation:
[tex]v =\pi \: r {}^{2}h = \pi \times 3 {}^{2} \times 5 = 141.37[/tex]
Do not send a link file things like that please just answer the question
Picture has everything in it
Answer:
1/125
Step-by-step explanation:
5^3 is 125. 5^6 is 15625. It is divisible by 125. So it is 1/125
Two more than the quotient of a number and 8 is equal to 7.
Use the variable y for the unknown number.
Answer:
The number is 40Step-by-step explanation:
[tex]\sf \text{Quotient of y and 8 = $\dfrac{y}{8}$}[/tex]
[tex]\sf \text{Two more than $\dfrac{y}{8}$ = $\dfrac{y}{8}+2$}[/tex]
[tex]\sf \dfrac{y}{8}+2=7\\\\\text{Subtract 2 from both sides}\\\\[/tex]
[tex]\dfrac{y}{8}+2-2=7-2\\\\[/tex]
[tex]\dfrac{y}{8}=5\\[/tex]
Now, multiply both sides by 8
[tex]8*\dfrac{y}{8}=5*8\\[/tex]
y = 403a = 12 I need to solve the equation and check my solution
Answer:
a=4.
Step-by-step explanation:
Divide 3 on both sides. a=4
QUESTION: Using the Cartesian Plane above, name the coordinate pair and the quadrant it is found in. Use the correct format (x, y) -> Quadrant ___
*
The coordinate of the point given in the Cartesian plane be ( -9, +5).
The coordinates lies in II- quadrant of the Cartesian plane.
What is Cartesian plane?
A Cartesian plane is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical. Using these axes, we can describe any point in the plane using an ordered pair of numbers.
As per the graph,
the x- coordinate i.e., abscissa = -9
the y- coordinate i.e., ordinate = +5
Since the x- coordinate is negative and y- coordinate is positive.
Thus the coordinate of the (-x, +y) lies in II Quadrant.
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c(d), when c = 7 and d= 34?
Answer:
[tex]238[/tex]
Step-by-step explanation:
Step 1: Input the values and solve
c(d) just basically means c * d
If we just multiply 7 (for c) and 34 (for d) we get 238 which is our answer.
Answer: [tex]238[/tex]
Answer:
238
Step-by-step explanation:
c(d), when c = 7 and d= 34
7 * 34
= 238
jasmine has a collection of 80 seashells of all the seashells in her collection 35 percent of them are white how man of jasmines seashells are white
Answer:
28% is your awnser
Step-by-step explanation:
um If you look up what is 35 percent of 80 you will get your awnser
Find the perimeter and area of the figure
Answer:
Perimeter = 34 cm
Area = 60 [tex]cm^{2}[/tex]
Step-by-step explanation:
The equation to find the perimeter of a rectangle is:
P = 2(l + w)
l = length
w = width
To find the length we have to use Pythagorean Theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
a = 12 cm
b = ?
c = 13 cm
Plug in and solve for b:
[tex](12^{2})+b^{2} = (13^{2})[/tex]
[tex]144 + b^{2} = 169[/tex] Distribute the squares
[tex]b^{2} = 25[/tex] Subtract 144 from 169
[tex]\sqrt{b^{2} } =\sqrt{25}[/tex] Square root both sides
b = 5 cm
Now that we have found the length, and we know the width, we can find the perimeter:
P = 2(12 + 5) = 2(17) = 34
The perimeter of the rectangle is 34 cm.
To find the area use this equation:
A = lw
Plug in the values for length and width and solve:
A = (5 cm)(12 cm)
A = 60 [tex]cm^{2}[/tex]
The area of the rectangle is 60 [tex]cm^{2}[/tex].
Hope this helps!!
Seventh grade > EE.11 Probability of independent and dependent events NED
You spin the spinner twice.
5
2
4
3
What is the probability of landing on a 5 and then landing on a 2?
Write your answer as a fraction or whole number.
Step-by-step explanation:
each combination of 2 specific numbers has the same probability. there is no difference in probability between the individual numbers.
remember, a probability is always desired cases over all possible cases.
we have 4 different possible outcomes every time we spin the spinner.
to get a specific number has the probability of 1/4, because we want 1 specific outcome, and have in total 4 different possibilities.
now, we spin a second time. the probability to get a specific number is again 1/4.
but, if we consider both events to be connected, when we want to know the probability to get 2 specific numbers when spinning twice, we have to multiply the individual probabilities :
1/4 × 1/4 = 1/16
so, the probability to land first on a 5, and then secondly on a 2 is 1/16.
the same as for landing first on a 3, and then on a 5.
the same as for landing first on a 4, and then on a 4 (again).
that is because the individual spin results are independent. the result of the first spin does not impact in any way the result of the second spin (in contrary to e.g. pulling multiple cards without returning the previously pulled cards).
Maribel was approved for a 7-year private student loan at 6.8% to cover her college costs of $10,900. (Round monthly payment calculations to 2 decimal places.)
Using it's formula, it is found that her monthly payment for the loan will be of $163.45.
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.In this problem, the parameters are given as follows:
P = 10900, r = 0.068, n = 7 x 12 = 84.
Hence:
r/12 = 0.068/12 = 0.005667.
Hence the monthly payment will be given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 10900\frac{0.005667(1 + 0.005667)^{84}}{(1 + 0.005667)^{84} - 1}[/tex]
A = 163.45.
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6/2(1+2) solve this BODMAS
Answer:
9
If you need any other help, please let me know!:) [ you'll have to pay ]
Sebastian had a rectangular piece of paper that was 90 mm and 50 mm wide. He cut the paper in half, what is the area of one half of the paper?
Answer:
2250mm
Step-by-step explanation:
first half the length is going to remain the same while the width changes so we divide the width by 2 to find half the width which is 25 then we say 25 × 90 = 2250
An amusement park issued a coupon to increase the number of visitors to the park each week. The function below represents the number of visitors at the amusement park x weeks after the issuance of the coupon. V(x) = 500(1.2)x What is the approximate average rate of change over the interval [2, 6]? A. 129 visitors per week B. 249 visitors per week C. 180 visitors per week D. 193 visitors per week
Answer:
the answer to this question is "D"
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What is the domain of
y=4[x+212 ?
all real numbers
all integers
all multiples of 4
all multiples of 8
Answer:
a for the first part next is c edg2020
Step-by-step explanation:
Answer:
A & C
Step-by-step explanation:
Edge 2022 :)
hope you have a good day you can do thisssss!!!
9,110,000 in word form
Answer:
Nine million and one hundered ten thousand
Please Asap :))))
John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month.
The variable ddd is the number of dollars in John's bank account at the end of the month.
Write an inequality in terms of ddd that is true only if John meets his monthly goal.
Answer:
d> -7
Step-by-step explanation:
If his goal is to have more by the end of the month and he did, D would be greater (I also had this question and got it correct.)
April and Sanjay are both using tools to simulate the probability that a family with three children will have exactly one girl. April is using a coin, with tails up representing a boy and heads up representing a girl. She flipped the coin three times. Sanjay rolled a number cube three times with odd numbers representing a boy and even numbers representing a girl. Which statement best describes their simulations? Both simulations have the same theoretical probability of a 3-child family having exactly one girl, but their experimental probabilities may differ. The simulations have different theoretical probabilities of a 3-child family having exactly one girl, and the experimental probabilities they generate may differ. The simulations have different theoretical probabilities of a 3-child family having exactly one girl, but their experimental probabilities will be the same. Both simulations have the same theoretical probability of a 3-child family having exactly one girl, and their experimental probabilities will be the same.
Based on the type of tools that April and Sanjay used, The simulations have different theoretical probabilities of a 3-child family having exactly one girl, and the experimental probabilities they generate may differ.
What will April and Sanjay's simulations lead to?They will have different theoretical probabilities on a single girl being had based on the fact that different instruments were used.
There is also a chance that their experimental probabilities may differ when the experiment is repeated several times because the instruments used will show random and unrelated outcomes.
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Hi: Everyone!
How's everyone doing?
[tex]12x = 5 + 5 - 5[/tex]
Answer:
x= 5 / 12
Step-by-step explanation:
Simplify both sides of the equation.
12x=5+5−5
12x=5+5+−5
12x=(5+5+−5) (Combine Like Terms)
12x=5
12x=5
Step 2: Divide both sides by 12.
12x / 12
x = 5 / 12
12x = 5 + 5 - 5
12x = 10 - 5
12x = 5
[tex]x \: = \frac{12}{5} [/tex]
[tex]{\pink{answer ={\blue{\boxed{x \: = {\purple{ \frac{12}{5} }}}}}}}[/tex]
what is the slope of the line through 4,-1 and 8,7
Answer:
The slope of the line is 2.
Step-by-step explanation:
The formula for slope is (y₂-y₁)/(x₂-x₁)
(7-(-1))/(8-4)
7 - -1 = 8
8 - 4 = 4
8/4 = 2
Answer:
m=2
Step-by-step explanation:
m=y2-y1/x2-x1
m=7-(-1) / 8-4
m=8/4
m=2
