Answer:
a) Liters.
b) Kilograms.
c) Kilometers.
Step-by-step explanation:
I'm not completely sure about C). But after some researching and calculating these answers seem the most correct. But I'm pretty sure A) and B) are right.
how to convert 147 cm in feet?
The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.
Centimeters and feet are the units that are used for measuring the length of the any given parameter.
Conversion of the unit centimeter into feet is written as :
Value of one centimeter = 0.0328084 feet.
To convert the given value 147 centimeters substitute in the given relation we have,
⇒ ( 147 × 1 ) centimeters = ( 147 × 0.0328084 ) feet
⇒ 147 centimeters = ( 4.822835 ) feet
⇒ 147 centimeters = ( 4.8228 ) feet ( Round upto four decimals )
Therefore, after conversion the measurements centimeters to feet we have 147 cm is equal to ( 4.8228 ) feet ( Round upto four decimals ) .
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Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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Consider the following and show all work. Point Line (4,7) 4x8y=8 a) Write the slope-intercept form of the equation of the line through the given point and parallel to the given line. (b) Write the slope-intercept form of the equation of the line through the given point and perpendicular to the given line.
a. the slope-intercept form of the equation of the line through the given point (4,7) and parallel to the given line is y = (-1/2)x + 9. b. the slope-intercept form of the equation of the line through the given point (4,7) and perpendicular to the given line is y = 2x - 1.
To solve this problem, we'll need to find the slope of the given line first.
The given line is 4x + 8y = 8. We can rewrite this equation in slope-intercept form (y = mx + b) by solving for y:
8y = -4x + 8
y = (-4/8)x + 1
y = (-1/2)x + 1
From this equation, we can see that the slope of the given line is -1/2.
(a) To find the equation of a line through the given point (4,7) and parallel to the given line, we know that parallel lines have the same slope. So, the slope of the new line will also be -1/2.
We can use the point-slope form of a line to write the equation:
y - y₁ = m(x - x₁)
Substituting the values of the point (4,7) and the slope (-1/2):
y - 7 = (-1/2)(x - 4)
Expanding:
y - 7 = (-1/2)x + 2
Adding 7 to both sides:
y = (-1/2)x + 9
Therefore, the slope-intercept form of the equation of the line through the given point (4,7) and parallel to the given line is y = (-1/2)x + 9.
(b) To find the equation of a line through the given point (4,7) and perpendicular to the given line, we need to find the negative reciprocal of the slope of the given line. The negative reciprocal of -1/2 is 2.
Using the point-slope form:
y - 7 = 2(x - 4)
Expanding:
y - 7 = 2x - 8
Adding 7 to both sides:
y = 2x - 1
Therefore, the slope-intercept form of the equation of the line through the given point (4,7) and perpendicular to the given line is y = 2x - 1.
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Suppose initially that the United States is consuming 18 boots and 2 shirts and Canada is consuming 4 boots and 12 shirts, as indicated in the figure. Then, suppose the United States and Canada specialize by each only producing the good for which they have a comparative advantage and then trade. In particular, suppose the United States trades Canada half of its production for half of what Canada produces.
The United States will have ___ additional shirt(s) after the trade (enter a numeric response using an integer) and __ additional boot(s). At the same time, Canada will be able to consume ___ additional shirt(s) as a result of the trade and ___ additional boot
The United States will have 16 additional shirt(s) after the trade (enter a numeric response using an integer) and 0 additional boot(s). At the same time, Canada will be able to consume 14 additional shirt(s) as a result of the trade and 0 additional boot
With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.
If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.
The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.
With commerce, the US will consume 18 boots. 18-18=0
0 additional boots.
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Xander was in the lead for 75% of the laps during PE. If the race lasted 12 laps, how many laps did Xander lead?
Answer:
9 laps
Step-by-step explanation:
75% of something is the same as three-fourths, or multiplying by 0.75
12 x 0.75 = 9
or you can divide by 4 and then multiply by three if you know what to separate the original number into
12/4 = 3 3 x 3 = 9
Please help me ASAP today
The points of solution that are obtained for the system of linear equations 3x + 2y = 11 and -8x - 4y = -20 are (-1,7).
2(3x + 2y = 11)
1(-8x - 4y = -20)
3x + 2y - 8x - 4y = 11 - 20 gives -5x - 2y = -9
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The system of linear equations are -
3x + 2y = 11....(1)
-8x - 4y = -20....(2)
When solved initially the value of equation is -
3x + 2y - 8x - 4y = 11 - 20
-5x - 2y = -9
Multiply equation (1) by 2 -
2(3x + 2y) = 2 × 11
6x + 4y = 22.....(3)
Simplify the equation (2) and (3) by adding -
-8x - 4y + 6x + 4y = -20 + 22
-2x = 2
x = -1
Substituting the value of x = -1 in equation (1) -
3x + 2y = 11
3(-1) + 2y = 11
Simplifying the equation -
-3 + 2y = 11
2y = 11 + 3
2y = 14
y = 7
Therefore, the final value is obtained as (-1,7).
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Help asap. This is extremely important
Answer:
the answer is a
Step-by-step explanation:
f+g(x) =2x+6
f(x)+g(x)=(x2+2x)+(6-x2)
x2+2x)+(6-x2)
2x+6
=A
if the median of a normal distribution curve is known, what can be said about the mean?
If the median of a normal distribution is known, it can be said that the mean of the distribution is also equal to the median. This is because the normal distribution is symmetric, with the median and mean at the center of the curve.
For a normal distribution, the mean and median are equal, so if the median is known, then the mean is also known. In a normal distribution, the median represents the point where exactly half of the data falls below and half falls above that point. Since the mean is also the point where the data balances out, meaning the sum of the values above the mean is equal to the sum of the values below the mean, it is also equal to the median. Therefore, if the median of a normal distribution curve is known, we can conclude that the mean is also equal to that value.
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Hello there, can you please help me out with this question? thankyou
Answer:
y = 6
Step-by-step explanation:
Given the graph, we need to know that x is a vertical line while y is a horizontal line.
That being said, we also see that the horizontal line passes through 6 of y.
So if y is horizontal and the horizontal line passes through y of 6, our answer comes to be.
\([y = 6]\)
a basketball player makes 2/3 of his free throws. to simulate a single free throw, which of the following assignments of digits to making a free throw are appropriate?
Hence the assignments (I) and (III) makes the free throw of trhe basketball player appropriate.
The player makes 2/3 of the free throws made.
Probability that a free throw is made = 2/3
Now let us take each option to find the required probabilities.
I) free throw made = {0,1} = 2
free throw missed = {2} = 1
Sample space ={1,2,3} = 3
Requires probability = 2/3
Hence this assignment makes the free throw appropriate.
II) free throw made = {01,02,03,04,05,06,07,08} = 6
free throw missed = {5,6} = 2
Sample space ={01,02,03,04,05,06,07,08,5,6} = 8
Required probability = 6/8 = 3/4 ≠ 2/3
Hence this assignment does not make the free throw appropriate.
III) free throw made = {1,2,3,4} = 4
free throw missed = {5,6} = 2
Sample space ={1,2,3,4,5,6} = 6
Required probability = 4/6 = 2/3
Hence this assignment makes the free throw appropriate.
Disclaimer: The complete question is :
A basketball player makes about 2/3 of his free throws. To simulate the single free throw, which of these following assignments of the given digits to making a free throw is appropriate?
I) 0 and 1 correspond to making a free throw and only 2 corresponds to missing the free throw.
II) 01, 02, 03, 04, 05, 06, 07, and 08 correspond to making the free throw while 5 and 6 correspond to missing the free throw.
III) Use a 6 sided die to let 1, 2, 3, 4 correspond to making the free throw while 5 and 6 correspond to missing the free throw.
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what is the degree of -5a2b+4a2-2b+5
The overall degree of the expression is determined by the term with the highest degree, which in this case is 3.
The degree of a term in an algebraic expression is determined by the sum of the exponents of the variables in that term. In the expression -5a^2b + 4a^2 - 2b + 5, the highest exponent of the variable 'a' is 2, and the highest exponent of the variable 'b' is 1 (since 'b' appears by itself without an exponent, we can consider it as having an exponent of 1).
Therefore, the degree of the term -5a^2b is 2 + 1 = 3.
The degree of the term 4a^2 is 2.
The degree of the term -2b is 1.
The degree of the term 5 (which is a constant) is 0.
So, the degree of the expression -5a^2b + 4a^2 - 2b + 5 is 3.
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Maria decorated her notebook with 4 rectangular stickers. Each sticker was 1/2 inches wide and 11/16 inches long
The total area of the stickers is (1/2) x (11/16) x 4 = 11/8 inches squared.
To calculate the total area of the stickers that were used to decorate the notebook, we need to know the dimensions of each sticker. In this case, the stickers were rectangular and each sticker was 1/2 inches wide and 11/16 inches long. To find the total area, we need to multiply the width of each sticker by the length of each sticker and then multiply this number by the number of stickers used. In this example, we have 4 stickers, so we must multiply (1/2) x (11/16) x 4. When this calculation is done, we end up with 11/8 inches squared as the total area of the stickers.
the complete question is :
Maria decorated her notebook with 4 rectangular stickers. Each sticker was 1/2 inches wide and 11/16 inches long
What was the area of each sticker?
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Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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Find the volume of the region bounded above by the surface z=4 cos xsin y and below by the rectangle R: OSXS Rosxs osys VE (Simplify your answer. Type an exact answer, using radicals as needed. Type your answer in factored form. Use integers or fractions for any numbers in the expression)
Answer:
2
Step-by-step explanation:
The region bounded above by the surface z=4 cos xsin y and below by the rectangle R:
We can use a double integral to find the volume of the region:
V = ∫∫R 4cos(x)sin(y) dA
where R is the rectangle defined by:
0 ≤ x ≤ π/2
0 ≤ y ≤ π/2
Then we can evaluate the integral as follows:
V = ∫∫R 4cos(x)sin(y) dA
= ∫0^(π/2) ∫0^(π/2) 4cos(x)sin(y) dxdy
= ∫0^(π/2) [4sin(x)](0 to π/2) dy
= ∫0^(π/2) 4sin(π/2) dy
= 4(sin(π/2))(π/2 - 0)
= 4(1)(π/2)
= 2π
Therefore, the volume of the region bounded above by the surface z=4 cos xsin y and below by the rectangle R is 2π.
Use differentials to estimate the amount of metal (in cm3 ) in a closed cylindrical can that is 18 cm high and 6 cm in diameter if the metal in the top and the bottom is 0.2 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two decimal places.) * cm3
the estimated amount of metal in the cylindrical can is approximately 65.48 cm^3.
The volume of the metal in the can can be estimated by subtracting the volume of the inner cylinder from the volume of the outer cylinder.
First, we calculate the volume of the outer cylinder with a height of 18 cm and a diameter of 6 cm. The radius of the outer cylinder is half the diameter, which is 6/2 = 3 cm. Using the formula for the volume of a cylinder, V_outer = πr^2h, we find V_outer = π(3^2)(18) = 162π cm^3.
Next, we calculate the volume of the inner cylinder, considering it has a thickness of 0.2 cm. The inner radius is the difference between the outer radius and the thickness, which is 3 - 0.2 = 2.8 cm. Using the same formula, V_inner = π(2.8^2)(18) = 141.12π cm^3.
To estimate the amount of metal, we subtract the volume of the inner cylinder from the volume of the outer cylinder: V_metal = V_outer - V_inner = 162π - 141.12π = 20.88π cm^3.
Finally, rounding to two decimal places, we have V_metal ≈ 65.48 cm^3.
Therefore, the estimated amount of metal in the cylindrical can is approximately 65.48 cm^3.
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pls help 10 points!!!!!
Answer:
The answer is y = 5/2x - 3!!
Step-by-step explanation:
You can check this on Desmos, by typing in the coordinates you have and then this equation and you can see the line goes right through them!! Hope this helps!!
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3 write an equation to determine the area, a, of the patio that will be painted. a = (x 18)(x 35) a = (x 15)(x 25) 30 a = (x 5)(x 22) a = (x 25)(x 15) − 30
The correct option is D.
An equation to determine the area, a, of the patio that will be painted :
a = (x + 25)(x + 15) - 30
What is Geometrical figure?Geometric shapes are the mathematical figures that show how ordinary objects in our world are shaped. Shapes in geometry are the configurations of things with boundary lines, angles, and surfaces.
According to the given Information:Length of the rectangular patio is (x+25).
Width of the rectangular patio is (x+15).
Length of bench is 5.
Width of the bench is 1.
Area of rectangle:Area of a rectangle is:
A = Length x Width
Area of rectangular patio is:
A\(_1\) = (x + 25)(x + 15)
Area of bench is:
A\(_2\) = 10 x 3
= 30
The painting area is:
A = A\(_1\) - A\(_2\)
A = (x + 25)(x + 15) - 30
Therefore, the correct option is D.
An equation to determine the area, a, of the patio that will be painted :
a = (x + 25)(x + 15) - 30
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math please help asap
Answer: te
Step-by-step explanation:
Answer:
Te
Step-by-step explanation:
Are Mean and median same?
Mean and Median are not the same.
Mean is the average value of a given dataset. Mean is calculated by adding all the values in the dataset and divided by the number of values.
Median is defined as the number in the middle of the dataset. Median is calculated by arranging the values in ascending order and finding out the middle most term. If there are two middle terms, then we calculate the average of both.
Mean is the arithmetic average, while median is the positional average. There may be various external factors that contribute in defining the mean. So for uneven data, median is the more robust value. Mean defines the central value of data, but median defines the midpoint of data and classify the data points to two sets, higher value or lower value.
So mean is the average of the given dataset and Median is the mid value of the dataset when arranged in ascending order.
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-20 = -4x - 6x
I need help solving it
Answer:
the answer is 2
Step-by-step explanation:
add -4x and -6x and the answer is -10x bc they are both negative x. then divide both -10x and -20 by -10 so that it is x by itself on one side and 2 on the other so its 2=x :)
how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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How many square centimeters of wrapping paper will be used to wrap the shoe box
The number of square centimeters of wrapping paper that will be utilized to wrap the shoe box ought to be 1624 \(cm^{2}\)
Estimation of the number of square centimeters:
Since
The length, width, and height are 14, 10 and 28
\(= 2 *10*28+2*14*28+2*10*14\)
So here it ought to be
= 560 + 784 + 280
= 1624 \(cm^2\).
Thus, The number of square centimeters of wrapping paper that will be utilized to wrap the shoe box ought to be 1624 \(cm^2\)
A cuboid is a three-dimensional strong that has 6 countenances (rectangular), 8 vertices, and 12 edges. A cuboid has three aspects like length, width, and height
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the length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. what is the product of all possible values for $a$?
To find the length of the segment between the given points, we can use the distance formula. The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
\[d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}\]
Let's apply this formula to the given points: $(2a, a-4)$ and $(4, -1)$.
The distance between these two points is $2\sqrt{10}$ units. So we have:
\[2\sqrt{10} = \sqrt{{(4 - 2a)^2 + (-1 - (a-4))^2}}\]
Simplifying the equation, we get:
\[4\sqrt{10} = \sqrt{{(4 - 2a)^2 + (-5 - a)^2}}\]
Squaring both sides of the equation, we have:
\[160 = (4 - 2a)^2 + (-5 - a)^2\]
Expanding the equation, we get:
\[160 = 16 - 16a + 4a^2 + 25 + 10a + a^2\]
Combining like terms, we have:
\[0 = 5a^2 - 6a + 1\]
Now, we can solve this quadratic equation for the possible values of $a$.
Factoring the equation, we have:
\[0 = (5a - 1)(a - 1)\]
Setting each factor equal to zero and solving for $a$, we get:
\[5a - 1 = 0 \quad \Rightarrow \quad a = \frac{1}{5}\]
\[a - 1 = 0 \quad \Rightarrow \quad a = 1\]
Therefore, the possible values for $a$ are $\frac{1}{5}$ and $1$. The product of these values is:
\[\left(\frac{1}{5}\right) \cdot 1 = \frac{1}{5}\]
So, the product of all possible values for $a$ is $\frac{1}{5}$.
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describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
I need help pls help
(44.42700400081)
Step-by-step explanation:
this answer
Which statements hold true for the function?
f(x) = 5/x
Of(5)<1
Of(0)=1
Of(3)
Of(5)
Answer:To evaluate the given function, f(x) = 5/x, we substitute the values in place of x:
f(5) = 5/5 = 1
The statement "Of(5) < 1" is false since f(5) = 1.
f(0) is undefined since division by zero is not defined.
Therefore, the statement "Of(0) = 1" is false.
f(3) = 5/3
f(5) = 5/5 = 1
Since the specific values for f(3) and f(5) are not provided, we cannot determine their exact numerical values or compare them.
Step-by-step explanation:
Answer:
1. The function is defined for all values of x except for x=0.
2. As x approaches positive infinity, f(x) approaches 0.
3. As x approaches negative infinity, f(x) approaches 0.
4. The function is not defined for x=0 because division by zero is undefined.
5. The function is symmetric about the y-axis.
6. The function has a vertical asymptote at x=0.
7. The function is decreasing for all positive values of x.
8. The function is decreasing for all negative values of x.
9. The function is continuous for all values of x except for x=0.
What are two different ways to find the line of symmetry
consider the following problem: find two numbers whose sum is 23 and whose product is a maximum.
The problem is to find two numbers that satisfy two conditions: their sum is 23, and their product is maximized. In other words, we need to determine two numbers that maximize their product while their sum remains constant.
To solve this problem, we can use algebraic reasoning. Let's assume the two numbers are x and y. We know that their sum is 23, so we have the equation x + y = 23. To maximize their product, we can express one variable in terms of the other. Solving the equation for y, we have y = 23 - x. Substituting this value of y in terms of x into the equation for the product, we get P = x(23 - x). This is a quadratic equation in terms of x. To find the maximum product, we can determine the vertex of the parabola represented by the quadratic equation. The x-coordinate of the vertex represents the value of x that maximizes the product. By solving for x, we can then find the corresponding value of y.
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I’m confused about how to solve this by following the guide
The solution of the system of equations is
x = 4, y = 1 and z = 5What is a system of equations?A system of equations is a set of two or three equations.
Given the system of equations
x + y = 5 (1)
y + z = 6 (2)
z + x = 9 (3)
Givent he guide (1) - (2) x - z = - 1 (4), we proceed to solve the system of equations
Now, taking equations (3) and (4), we have that
z + x = 9 (3)
x - z = - 1 (4)
Adding them we have that
z + x = 9 (3)
+
x - z = - 1 (4)
2x = 9 - 1
2x = 8
x = 8/2
x = 4
From equation (3)
z = 9 - x
So, substituting the value of x into the equation, we have that
z = 9 - x
z = 9 - 4
z = 5
From equation (2)
y = 6 - z
So, substituting z into the equation, we have that
y = 6 - z
= 6 - 5
= 1
So,
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Can someone help me? Kendall owns 39 CD’S, and he buys a new one every week. Raymond only owns 15 CD’S but he buys 3 new ones each week. How many weeks will it be before Raymond owns as many CD’S as Kendall?
Answer:
7 weeksStep-by-step explanation:
Let the number of weeks be x
Then Kendal's CD's
39 + xRaymond's CD's
15 + 3xTime when they have equal CD's
39 + x = 15 + 3x3x - x = 39 - 152x = 14x = 7 weeksAnswer:
That is wrong... 7 is not the answer
12 is the real answer
Step-by-step explanation: