Answer:
[tex]-\frac{16}{3}[/tex]
Step-by-step explanation:
This is simple multiplication. To make this easier to solve, let's modify the fraction so it looks like this:
[tex]-8*2*\frac{1}{3}[/tex]
You could also change it to this:
[tex]\frac{-8}{1}*\frac{2}{3}[/tex]
Do these look simpler? Hopefully they do!
Now, let's multiply the numerators. When multiplying fractions, we multiply numerators and denominators separately. Here, that means we could, taking both paths, do this:
[tex]\frac{1}{3}(-8*2)[/tex]
[tex]=\frac{1}{3} (-16)[/tex]
[tex]=\frac{-16}{3}[/tex]
[tex]=-\frac{16}{3}[/tex]
Or we can do this:
[tex]\frac{-8}{1} *\frac{2}{3}[/tex]
[tex]=\frac{-8*2}{1*3}[/tex]
[tex]=\frac{-16}{3}[/tex]
[tex]=-\frac{16}{3}[/tex]
But what if the denominator of one fraction has a common factor with the other number or the other fraction's numerator? We would find the common factor, and cancel it out to simplify. We could do this before multiplying, during the multiplication, or after multiplying.
In the case of a number times a fraction, it could also be seen as division, as fractions are essentially that: one number divided by another, except we aren't using the decimal.
I hope this helps you understand, so you don't need to ask this again! It's about 8:00 AM where I am as I'm writing this answer, so good morning and have a wonderful day!
The equivalent value of the fraction is A = -16/3
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be represented as p
Let the second number be represented as q
Now , A = pq
when the value of p = 2/3
And , when the value of q = -8
On simplifying the equation , we get
A = ( 2/3 ) / ( -8 )
So , the left hand side of the equation is equated to the right hand side by the value of ( 2/3 ) / ( -8 )
A = ( 2/3 ) / ( -8 )
A = ( -8 x 2 ) / ( 3 )
On simplifying , we get
Multiply by -8 on the fraction , we get
A = ( -8 x 2 ) / 3
A = -16/3
Therefore , the value of A = -16/3
Hence , the fraction is A = -16/3
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There are 3 pieces of fabric. Each piece of fabric is the same length. The total length of the pieces of fabric is 2 1/4 yards. How long is each piece of fabric?
The length of each piece of fabric is, 3/4 yards.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 3 pieces of fabric.
And, The total length of the pieces of fabric is 2 1/4 yards.
Here, Each piece of fabric is the same length.
Hence, The length of each piece of fabric is,
⇒ 2 1/4 ÷ 3
⇒ 9/4 × 1/3
⇒ 3/4 yards
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Write an equation of the line that passes through the given point and is parallel to the given line
The equation of the line that is parallel to 3y - x = - 12 and passes through (18, 2) will be 3y - x + 12 = 0.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The equation is given below.
3y - x = - 12
The equation of the line that is parallel to the given line is given as,
3y - x + d = 0
The equation that passes through (18, 2) will be given as,
3(2) - 18 + d = 0
6 - 18 + d = 0
d = 18 - 6
d = 12
Then the equation of the parallel line will be 3y - x + 12 = 0.
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Statistics not sure if I did it right and I don’t understand the blank ones can someone please help?
A 95% confidence interval has a 0.95 probability of containing the population mean. 95% of the population distribution is contained in the confidence interval.
Does confidence interval mean probability?[tex]$p=\frac{17}{125}=.130$[/tex]
[tex]$2=\frac{.136-.15}{.03^2}$[/tex]
[tex]$(-4 a,=0.44)$[/tex]
This is the range of values that, with a certain degree of confidence, you would anticipate your estimate to fall within if you repeated your test. Another approach to describe probability in statistics is confidence. An interval of confidence shows the likelihood that a parameter will fall between two values close to the mean.
Measured by confidence intervals, the level of a sampling technique's uncertainty or certainty. Both regression analysis and hypothesis testing make use of them. As a typical method for estimating intervals, confidence intervals are frequently utilized. It's possible that if you've ever used this method, you've run into the following statement: For a 90% confidence interval, there is a 90% possibility that a real parameter resides within that interval.
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What happens when we decrease the exponent of 10 by 1?
When we decrease the exponent of 10 by 1, the number becomes one-tenth of the previous number.
For the fixed base(10), if the exponent decrease by 1, the number will becomes one-tenth of the previous number.
What are the rules of exponents?The Power Rule for Exponents is (a^m)^n = a^m*n. To increase a number with an exponent to a power, we need to multiply the exponent times the power. Negative Exponent Rule is x^-n = 1/x^n. We need to invert the base to change a negative exponent into a positive.
Exponents are used to represent repeated multiplication of a number by itself. For example, 7 * 7 * 7 can be showed as 73. Here, the exponent is 3 that stands for the number of times the number 7 is multiplied. The base here is 7 that is the actual number which is getting multiplied. So, initially exponents or powers shows the number of times a number can be multiplied. If the power is 2, it means the base number is multiplied two times with itself.
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what is the two digit 2 in the number 45.52 as a fraction
Answer:
Step-by-step explanation:
To write 45.52 as a fraction you have to write 45.52 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
45.52 = 45.52/1 = 455.2/10 = 4552/100
And finally we have:
45.52 as a fraction equals 4552/100
If The Robotic team ordered 4 pizza and only 5 member how up , how much pizza will each member receive if hared equally
Each member would receive 0.8 pizza.we divided the number of pizzas (400) by the number of members (5) to get 8.
1. Divide the number of pizzas (4) by the number of members (5): 4 ÷ 5 = 0.8
2. Each member would receive 0.8 pizza.
Each member would receive 8 pizza.
1. Multiply the number of pizzas (4) by the number of members (100): 4 x 100 = 400
2. Divide the number of pizzas (400) by the number of members (5): 400 ÷ 5 = 8
3. Each member would receive 8 pizza.
If The Robotic team ordered 4 pizza and only 100 members showed up, each member would receive 8 pizza if the pizzas are shared equally. To calculate this, we first multiplied the number of pizzas (4) by the number of members (100) to get 400. Then, we divided the number of pizzas (400) by the number of members (5) to get 8. Therefore, each member would receive 8 pizza.
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y
.x
Slope(m):
2
y-intercept(b):
yom
wall Equation:
A.
Y
When the slope is given as 2, the result of the slope intercept form is y = 2x + c where m stands for the slope and c for the y-intercept .
what is slope intercept ?The intersection point is the location on the y-axis where the slope of the line crosses. where the y-axis crosses that point on a line or curve. By using y = mx+c as the equation for the straight line, where m stands for the slope and c for the y-intercept, this is proven. The slope (m) and y-intercept (b) of the line are denoted in the intercept form of the equation. For equations of the intercept form (y=mx+b), the slope and y-intercept, respectively, are m and b. Furthermore, some equations may be rewritten to appear as slope intercepts. For instance, the slope and y-intercept change to 1 and 0 respectively when y=x is represented as y=1x+0.
given
slope ( m ) = 2
= y = 2x + c
When the slope is given as 2, the result of the slope intercept form is y = 2x + c.
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You buy 1 bag of cat litter and 4 bags of
treats online for a total of $21. A few weeks later, you buy 2 bags of the same
cat litter and 8 bags of the same treats for a total of $42. Find the price of
each bag of litter and each bag of treats.
Draw a rectangle with 45 square units
Answer:
See below
Step-by-step explanation:
Here is one possibility:
Answer:easy
Step-by-step explanation:
A club bought 6 equally priced pizzas and a large $15
bag of chips for a party. They spent a total of $ 69.
Write an equation modeling this, then solve.
I need an answer asappp
What is an example of an acute triangle?
An acute triangle is a triangle with all three angles less than 90 degrees.
An example of an acute triangle is a triangle with angles measuring 30 degrees, 55 degrees, and 95 degrees. Using the Law of Cosines, we can calculate the side lengths of this triangle. The side opposite the 30 degree angle is 4.8, the side opposite the 55 degree angle is 5.2, and the side opposite the 95 degree angle is 8. The Law of Cosines states that the following equation must be true: a2 = b2 + c2 - 2bc Cos A. In this case, a2 = 82, b2 = 52, and c2 = 42. We can then solve for the sides of the triangle by plugging in the values for a2, b2, and c2 into the equation. The result is that the side lengths of this triangle are 4.8, 5.2, and 8.
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Convert 100 in. to yards, feet, and inches.
Answer: 2.78 Yards, 8.33 ft,
Step-by-step explanation:
Answer:
100 in. = 100 inches, 8 feet 4 inches, or 2.77777777778 yards.
Step-by-step explanation:
PLS HELP LINE OF BEST FIT
From the linear function, at 50 degrees, the seller will sell 58 hot dogs, at 114 degrees, she will sell 35 hot dogs and from the line of best fit she will sell 3 hot dogs at every 10 degrees rise in temperature
What is Linear FunctionWhen plotted, a linear function is a sort of mathematical function that visually displays a straight line. A formula of the form y = mx + c, where m is the line's slope and c is its y-intercept, is used to describe it.
The linear function given is;
y = (3/10)x + 8
Where;
x = Temperature y = number of hot dogs solda) At 50 degrees, the number of hot dogs
Substituting the values into linear function;
y = 3/10(50) + 8
y = 150 / 3 + 8
y = 50 + 8
y = 58
The seller will sell 58 hot dogs at 50 degree
b) The temperature at which they will sell 35 hot dogs is;
y = (3/10)x + 8
35 = 3/10(x) + 8
35 * 10 = 3x + 8
350 = 3x + 8
3x = 350 - 8
3x = 342
x = 342 / 3
x = 114
The temperature at which they'll sell 35 hot dogs is 114 degrees
c) Based on the line of best-fit, for every 10 degree rise in temperature, she will sell 3 hot dogs.
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If AD = 4 cm and AB = 6 cm, what is the perimeter of WXYZ?
Answer:
Step-by-step explanation:
no way to answer
What is common segment theorem?
According to the Common Segments Theorem, if a segment is merged with two congruent segments, the subsequent segments will also be congruent
what is segment ?a piece removed from a geometric form by one or more points, lines, or planes. Examples include the region of a circle enclosed by its chord and arc, or the portion of a sphere enclosed by two parallel planes. Segment is a service that makes it easier to acquire and use data from users of your digital domains because it is a customer data platform (CDP) (websites, apps, etc). Your first-party customer data may be gathered, transformed, sent, and archived using Segment. between two points on a line or curve; a segment. a segment of a solid figure or plane that is removed by an intersecting line.
given
According to the Common Segments Theorem, if a segment is merged with two congruent segments, the subsequent segments will also be congruent.
The overlapping segments that result are congruent if two collinear segments that are next to a common segment are also congruent. Intermingling Angle Theorem.
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Reflect (0, -2) in the x-axis followed by the y-axis.
(0, -2) reflected in the x-axis followed by the y-axis is (,).
Therefore , the solution to the given problem of equation comes out to be The coordinates for the picture that is mirrored in the y-axis
are (-3, -2)
Define equationA formula for a mathematical equation combines two statements by using the equal sign (=) to denote equivalence. An equation in algebra is a statement proving the equality of two mathematical equations. For instance, the two numbers are connected by the equation 5x + 5 = 14. A mathematical relationship is built between the sentences on either side of a letter. Usually, the symbol serves as the only variable and the only factor. For instance, 8x - 4 = 2.
Here,
the specified point's coordinates are (3, -2).
Now,
(I) The image's coordinates that are reflected in the x-axis are (3, 2)
(ii) The coordinates for the picture that is mirrored in the y-axis are (-3, -2)
(iii) The point's coordinates for the x-axis reflection and the y-axis reflection will indeed be (-3, 2).
(iv) The point's coordinates that are reflected inside the source would be (-3, 2).
Therefore , the solution to the given problem of equation comes out to be The coordinates for the picture that is mirrored in the y-axis
are (-3, -2)
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A computer coast $800 it loses 1/5 of its value every year after it’s purchased complete the table after how many years will the computer be worth less than $100 _____ years write an equation representing the value v of the computer t years after it was purchased
On solving the provided question, we can say that equation for the question will be (n - 1) x 3/4
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
equation for the question will be
(n - 1) x 3/4
Value of the computer
at time 0 = $800
at time 1 = $800 x (3/4) x 1 = $600
at time 2 = $600 x 3/4 = $450
Value of the computer at time 3 = $450 x 3/4 = $337.50
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Raymond owns a used pickup truck that he wants to sell. A use-vehicle guide shows that its average retail value is $17,600. He adds $1,700 for 4-wheel drive, $475 for an entertainment system, $800 for a special trim package, and $225 for power locks. He also adds $125 for a sliding rear window, $325 for a towing package, $250 for power windows, and $3,125 for a diesel engine. He deducts $675 for having a manual transmission. He adds $450 for having less than the expected mileage. What is the average retail price of Raymond's vehicle?
The average retail price of Raymond's vehicle is $24,400.
What is Average Retail Price?
Average price is a measure of a range of prices. It is calculated by taking the sum of the values and dividing it by the number of prices being examined. The average price reduces the range into a single value, which can then be compared to any other point to determine if the value is higher or lower than what would be expected.
average retail value = $17,600
All the additions to the average retail value are;
$1,700 for 4-wheel drive
$475 for an entertainment system
$800 for a special trim package
$225 for power locks
$125 for a sliding rear window
$325 for a towing package
$250 for power windows
$3,125 for a diesel engine
$450 for less than expected mileage
Deductions
$675 for having a manual transmission
Average retail price = Average retail value + additions - deductions
Average retail price = $17,600 + ($1,700+$475+$800+$225+$125+$325+$250+$3,125+$450) - $675
Average retail price = $17,600 + $7,475 - $675
Average retail price = $24,400
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Help Please! I need to find the value of x in the quadrilateral
I know the sum of the exterior angles and interior angles is 360 and I know I need to do something with substitution but I have no idea where to start. Please explain it step by step so I understand.
The value of x in the quadrilateral is 23.
How to find the angles of a quadrilateral?A quadrilateral is a polygon with 4 sides. The sum of interior angles in a quadrilateral is 360 degrees.
The sum of exterior angles in a quadrilateral is 360 degrees.
Therefore, let's find the value of x in the quadrilateral.
Hence,
6x + 5x + x + 16 + 3x - 1 = 360
combine like terms
6x + 5x + x + 3x + 16 - 1 = 360
15x + 15 = 360
subtract 15 from both sides of the equation
15x = 360 - 15
15x = 345
divide both sides by 15
x = 345 / 15
x = 23
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An electric car battery, when fully charged, can travel 520 miles. As the car travels, the charge decreases at a rate of 89 miles every 1 hour.
Enter an equation in slope-intercept form or y = mx + b that shows the amount of battery charge y, in miles, after traveling for x hours.
Answer:
The car can only last for 5 hours.
That's the answer I got.
5.84269662
Step-by-step explanation:
Alright so say I was driving for 2 hours I would have,
342 miles left.
If I were driving for 3 hours I would have,
253 miles left.
If I were driving for 4 hours I would have,
164 miles left.
Now if I were driving for 5 hours I would have,
75 miles left.
Another one of Carla’s friends suggests that she make the sample larger and survey 100 students. Which sample size is more likely to represent the population? Explain.
In general, a larger sample size is more likely to represent the population than a smaller sample size. This is because a larger sample size increases the chances that the sample will be representative of the population.
what is sample size?When the sample size is that larger, there is a lower chance of getting a skewed or biased sample. A larger sample size also tends to have less variability in the sample statistics, making it more likely to provide accurate estimates of population parameters.
However, it is important to note that increasing the sample size does not guarantee that the sample is representative of the population. The sampling method used, and the way the sample is selected, can also have an impact on the representativeness of the sample.
Hence, surveying 100 students is more likely to represent the population than surveying a smaller sample size like 10 students, but it does not guarantee a perfect representation of the population.
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What are the 4 different types of bar graphs?
The four types of bar graphs as follows:
Vertical Bar Graph.
Horizontal Bar Graph.
Grouped Bar Graph.
Stacked Bar Graph.
Rectangular bars are used in the particular type of data visualisation known as a bar graph, with the length of each bar matching to the value it represents. With the aid of rectangular bars that display the data's measure, the provided data is shown vertically in a graph or chart in a vertical bar graph. These graphs are referred to as horizontal bar graphs when the offered data is shown horizontally using rectangular bars that display the data's measure. These graphs are referred to as horizontal bar graphs when the offered data is shown horizontally using rectangular bars that display the data's measure.
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The sum of two numbers is 27. The difference between the two numbers is 5. What are the two numbers?
Answer:
x = 16
y = 11
Step-by-step explanation:
x+y = 27
x-y = 5
__________
2x = 27+5
2x = 32 /:2
x = 16
16+y = 27
y = 27-16
y = 11
I NEED URGENT HELP! 15 POINTS!
Jane had 27 stickers two weeks ago. Then she bought the same numbers of stickers each day for two weeks. Now she has 237 stickers. How many stickers did Jane buy each day?
Find the volume of a pyramid with a square base, where the side length of the base is 19. 3\text{ ft}19. 3 ft and the height of the pyramid is 16. 2\text{ ft}16. 2 ft. Round your answer to the nearest tenth of a cubic foot.
The volume of the square pyramid is 2011.4 ft². The result is obtained by multiplying the area of base by height of the pyramid, then dividing it by 3.
What is the volume of a pyramid?
A pyramid is a polyhedron that has one base and lateral faces with the vertex at the top of the pyramid. The shape of lateral faces is always a triangle. While, the shape of the base varies and is used to name the pyramid.
The volume of the pyramid can be expressed as
V = ⅓ Bh
Where
B = area of baseh = height of a pyramidA pyramid with a square base has the side length of base of 19.3 ft. The height of the pyramid is 16.2 ft. Find the volume of the pyramid!
The area of base is
B = s²
B = 19.3 × 19.3
B = 372.49 ft²
The volume of the pyramid is
V = ⅓ Bh
V = ⅓ (372.49 ft²) (16.2 ft)
V = ⅓ (6034.338) ft²
V = 2011.446 ft²
V ≈ 2011.4 ft²
Hence, the volume of the pyramid with a square base is 2011.4 ft².
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101
Which expression can be rewritten as (x+7)(x - 1)?
(x+3)² - 10(x+ 3) - 2(x + 3) + 20
A.
B.
C.
D.
(x - 1)(x² - 6x-7)
(x + 1)
(x+3)²-16
(x+7)(x² + 4x + 3)
(x+3)
The expression which can be rewritten as (x+7)(x - 1) as required in the task content is; Choice C; (x+3)²-16.
Identifying the equivalent expression.It follows from the task content that the expression which can be rewritten as ( x + 7 ) ( x - 1 ) be determined.
By polynomial expansion, the expression (x+7)(x - 1) can be written as;
x² + 7x - x - 7
= x² + 6x - 7.
By observation, it follows that the expression which seems to have a degree of 2 is; (x + 3)² - 16.
On this note, by checking; we have;
x² + 6x + 9 - 16
= x² + 6x - 7
Ultimately, the expression which could be rewritten as (x+7)(x - 1) and is to be identified is; Choice C; (x + 3)² - 16.
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t^2-4k+1=5
Solve by completing the square.
The solution of the quadratic equation k² - 4k + 1 = 5 will be 2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
k² - 4k + 1 = 5
Simplify the equation, then we have
k² - 4k + 1 = 5
k² - 4k - 4 = 0
Factorize the equation, then we have
k² - 4k - 4 = 0
k² - 2k - 2k - 4 = 0
k(k - 2) - 2(k - 2) = 0
(k - 2)(k - 2) = 0
k = 2, 2
The solution of the quadratic equation k² - 4k + 1 = 5 will be 2.
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The correct equation is given as,k² - 4k + 1 = 5
What is the exponential of 2?
Answer:
2^2 would be 4
Step-by-step explanation:
Simplify: a) (−2)5x(−2)-3
2×2
Answer:
20x -64
Step-by-step explanation:
(−2)5x(−2)-3 2×2
2x5x x2-32x2
20x-32 x 2
20x -64
How many solutions does this system of equations have? Explain how you know.
(y + 2/3x =4
2x = 12-3y
On solving the provided question, we can say that the - by solving algebraic equation x= 0 and y= 4.
What do basic algebraic equations entail?A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases. Check out algebraic expressions as well. Equations, or the equal sign, simply indicate equality. With mathematics, and algebraic expression is one that is constructed using variables, constant algebraic numbers, and algebraic operations. An algebraic expression is, for instance, 3x2 2xy + c.
y+ (2/3)x = 4
12—3y
3y +6x 12
2x+3y=12
by subtracting2frorn1.
4x=o
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