The Associative property is not displayed by any of the given equations.
The associative property of several binary operations in mathematics states that the outcome will not change if the parenthesis in an expression are rearranged.
The order in which the operations are carried out within an expression that has two or more instances of the same associative operator in a row doesn't matter as long as the order of the operands is left untouched.
Examples of associative property :
\({\displaystyle {\begin{aligned}(7+8)+1&=7+(8+1)=9\,\\5\times (3\times 7)&=(5\times 3)\times 7=24.\end{aligned}}}\)
The parentheses were rearranged on each line, but the expression values were left alone. It can be argued that "addition and multiplication of real numbers are associative operations" because this is true for addition and multiplication of all real numbers.
Here 8=8+0 displays additive identity property.
10×1=10 displays multiplicative identity
5+0=5 displays displays additive identity property.
\(5\times \frac{1}{5}=1\) displays multiplicative inverse property.
\(3+\frac{3}{4} =3+\frac{3}{4}\) displays reflexive property.
Hence no equation displays associative property.
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A sock drawer contains 5 rolled-up pairs of each color of socks, white, green, and blue. What is the probability of randomly selecting a pair of blue socks, replacing it, and then randomly selecting a pair of white socks?
The probability of randomly selecting a pair of blue socks, replacing it, and then randomly selecting a pair of white socks is 1/9.
To calculate this probability, we need to consider the total number of pairs of socks available and the number of pairs that meet the desired criteria.
In the sock drawer, there are a total of 5 pairs of each color, resulting in a total of 15 pairs of socks.
First, we need to calculate the probability of randomly selecting a pair of blue socks. Since there are 5 pairs of blue socks, the probability of selecting a pair of blue socks is 5/15, which simplifies to 1/3.
Next, since the socks are replaced after the first selection, the number of pairs and the total number of socks remains the same. Therefore, the probability of randomly selecting a pair of white socks is also 5/15, which is equivalent to 1/3.
To find the probability of both events occurring consecutively, we multiply the individual probabilities. Therefore, (1/3) * (1/3) = 1/9.
Hence, the probability of randomly selecting a pair of blue socks, replacing it, and then randomly selecting a pair of white socks is 1/9.
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Which statement can be represented by the equation ģX+9= 9?
O Two-fifths of nine is a number.
O Two-fifths of a number is nine.
O Nine more than two-fifths of a number is nine.
O Anumber plus nine is the same as two-fifths of nine.
PLEASE HELP ASAP!!!!!!!!!
Use PEMDAS to solve the following problem: 60* 10-8* (3* 2) What is left after completing the first step of PEMDAS
Answer:60*10-8*6
Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6
The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
How to determine the first step?The equation is given as:
60* 10-8* (3* 2)
Using PEMDAS, the first step is to open the brackets by multiplication So, we have:
60* 10-8* (3* 2)
60* 10-8*6
Then multiply the rest and subtract.
600- 48 = 552
Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
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Simplify your answer and write is as a proper fraction mixed number or integer
if RS=x+4, ST=8 and RT=3x then value of RS is 10 units.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that RS=x+4, ST=8 and RT=3x
We have to find RS
RS=RT-ST
x+4=3x-8
Take the variable terms on one side and constants on other side
12=2x
Divide both sides by 2
x=6
So RS is 6+4=10 units
Hence, if RS=x+4, ST=8 and RT=3x then value of RS is 10 units.
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4. you are looking for a deep spot to take a swim in a local river. the width of the river is about the same all along its length, but there are places where the water flows quickly and places where it flows slowly. which is a better choice for a swim?
The best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
If you are looking for a deep spot to take a swim in a local river, the best choice is to go where the water flows slowly. The speed of the water is determined by the formula:
v=Q/A,
where v is the speed of the water, Q is the discharge rate, and A is the cross-sectional area of the river. As Q is constant for the same river, a slower water flow can be achieved by increasing A, which is the cross-sectional area of the river. Therefore, the best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
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the bottom of a ladder is placed 4 feet from the side of a building. the top of the ladder must be at least 13 feet off the ground what is the shortest ladder that will do the job
A : 10ft
B : 12ft
C : 14ft
D : 16ft
Need Help ASAP I cant solve this I think the answer might be 14x-35 but im not sure and i have to solve by combining like terms
In the attached diagram the perimeter of the hall way is
17x - 34How to find the perimeter of the hallwayThe perimeter of the hall way is calculated by adding all the sides of the hallway
The perimeter of the hall way = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4
adding like terms results to
The perimeter of the hall way = 17x + (-34)
Finally, the simplified expression is:
17x - 34
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Select the correct answer. What is the y-intercept of f(x) = 3x+2? A. (9, 0) B. (0, 9) C. (0, -9) D. (9, -9)
The correct answer is not provided among the given choices.
The y-intercept of the function f(x) = 3x + 2 is (0, 2).
To find the y-intercept of the function f(x) = 3x + 2, we need to determine the value of y when x is equal to 0.
The y-intercept represents the point where the graph of the function intersects the y-axis.
Substituting x = 0 into the equation, we get:
f(0) = 3(0) + 2
f(0) = 0 + 2
f(0) = 2
So, when x = 0, the corresponding value of y is 2.
Therefore, the y-intercept of the function f(x) = 3x + 2 is (0, 2).
Among the given answer choices:
A. (9, 0) does not represent the y-intercept.
B. (0, 9) does not represent the y-intercept.
C. (0, -9) does not represent the y-intercept.
D. (9, -9) does not represent the y-intercept.
None of the given answer choices correctly represent the y-intercept of the function f(x) = 3x + 2, which is (0, 2).
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SHOW YOUR WORK PLEASE
Answer:
30 1/2 x 9 1/3 = 284 7/10
Step-by-step explanation:
i just used a calculator.
hope this helps <3
In the coordinate plane, the point A (-2,2) is translated to the point A (2,-3). Under the same translation, the points B (-4,-1) and C (-6,5) are translated to B and C respectively. What are the coordinates of B and C?
Answer: B(0,-6); C(-2,0)
Step-by-step explanation:
A was translated 4 units to the right (x) and 5 units down (y)
Do the same for the other points
B(-4+4, -1-5) C(-6+4, 5-5)
B(0, -6) C(-2, 0)
Casey buys a bracelet. she pays for the bracelet and pays $0.72 in sales tax. The sales tax is 6% what is the original price of the bracelet , before tax
The Original price of the bracelet, before tax, is $12.
Let's assume that the original price of the bracelet is x dollars.
The sales tax is 6%, which means that the tax paid is 6/100 * x = 0.06x dollars.
We know that Casey paid $0.72 in sales tax, so we can set up the equation:
0.06x = 0.72
Solving for x, we get:
x = 0.72/0.06
x = 12
Therefore, the original price of the bracelet, before tax, is $12.
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Rob paid $50.15 for two pairs of jeans, which include a 15% discount. What was the price of one pair of jeans before the discount was added?
Answer:
$29.50
Step-by-step explanation:
The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.
100% - 15% = 85%
Divide the price Rob paid by the percentage the price is of the total.
85% = 0.85
50.15/0.85 = 59
Now, divide the total price by 2 so that you can find the price of one pair of jeans.
59/2 = 29.50
The price of one pair of jeans is $29.50
Please help!!!!! IMAGE ATTACHED
Answer:
1. y2-y1/x2-x2
2.y=mx+b
3.Ax+By=C
Step-by-step explanation:
The Iguanas played the Capybaras for the baseball championship yesterday. There were 6 Iguanas fans in the stands for every 5 Capybaras fans.
Pick the diagram that models the ratio in the story.
If the Capybaras had 80 fans in the stands, how many Iguanas fans were in the stands?
Iguanas fans
A diagram that models the ratio in the story is shown in the image attached below. If the Capybaras had 80 fans in the stands, the number of Iguanas fans that were in the stands is equal to 96 Iguanas fans.
What is a ratio?In Mathematics, a ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities. This ultimately implies that, a ratio can be expressed as a quotient.
Let the variable I represent the number of Iguanas fans.
Let the variable C represent the number of Capybaras fans.
Therefore, the ratio of the 6 Iguanas fans to 5 Capybaras fans is given by:
I:C = 6:5
Next, we would determine the number of Iguanas fans if there are 80 Capybaras fans:
6 Iguanas fans = 5 Capybaras fans
x Iguanas fans = 80 Capybaras fans
Cross-multiplying, we have:
x Iguanas fans = (80 × 6)/5
x Iguanas fans = 480/5
x Iguanas fans = 96 Iguanas fans.
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are statistics and quantitative data necessarily more valid and objective than qualitative research?
No, statistics and quantitative data are not necessarily more valid and objective than qualitative research.
While quantitative data can provide precise numerical measurements, it may not capture the full complexity of a particular phenomenon or experience. Qualitative research, on the other hand, can offer rich and nuanced insights into human behavior and attitudes. It allows for a deeper understanding of the context and meaning behind the data.
Ultimately, the choice between quantitative and qualitative research depends on the research question and the goals of the study. Both methods have their strengths and limitations, and it is important to consider them carefully when designing a study.
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At the end of a birthday party there is 3/⁴ of a cake left. The next day janelle eats 1/3 of the cake how much of the whole cookie cake did she eat
Answer:
2/1
Step-by-step explanation:
you subtract
Answer:
Janelle ate 4/12 of the Cake
Step-by-step explanation:
The answer is 4/12 because 3/4 and 1/3 need to have the same denominator so we change them into 3/4 = 9/12 and 1/3 = 4/12 so the answer is 4/12.
P.S Can I have brainliest?
How would you graph the solution set of x + 4 > -9?
Answer:
x>-5
Step-by-step explanation:
-9 - -4 =-5
x>-5
↝ Graph from Number Line ↝
x + 4 > -9
x + 4 + 9 > 0
x + 13 > 0
x > -13
↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)
Shaaz wants to paint a chalkboard that measures 18 meters by 12 meters. The cost to paint is 2.1 dirhams per square meter. How much will it cost to paint the chalkboard?
Please help me quick
Answer:
453.60 Dirhams
Step-by-step explanation:
This is simple. Follow me!
18 meters × 12 meters = 216 square meters
216 square meters × 2.1 dirhams/square meter
= 453.6 dirhams
Woo-hoo! We did it!
Brainliest Appreciated, if you have any questions feel free to comment!
Answer:
453.60 dirhams
Step-by-step explanation:
STEP 1) times 18m by 12m which equals 216m2 (when you times metres by metres it makes metres squared (mxmxm=m3 etc.))
STEP 2) 216m2 times 2.1 which equals 453.60 (we times 216 by 2.1 because it's basically saying 216 (metres squared) times 2.1 dirhams per square metre.)
i hope this helped, (sorry if i was kind of confusing) :)))
Find the value of x2 values that separate the middle 80 % from the rest of the distribution for 20 degrees of freedom.
The value of x² values that separate the middle 80 % from the rest of the distribution is
With alpha and degrees of freedom χ²= 12.443
And with alpha and degrees of freedom χ²= 28.412
Chi - Square Distribution:
The chi square distribution is the continuous distribution, where the degree of freedom is the sample size minus 1, and it is the parameter of the chi-square probability distribution.
Given,
Here we need to find the value of x² values that separate the middle 80 % from the rest of the distribution for 20 degrees of freedom.
Based on the given details,
Degrees of freedom = 20
Middle separate value = 80%
Which is equal to 0.8 in decimal point.
The significance level
=> ∝ = 1 - 0.8
=> ∝ = 0.2
But we need the area of the middle so we divide this significance level with 2
so that we get exactly the middle area .
Dividing
=> 0.2/2= 0.1
So we will have two values for chi square
One with
=> 0.8 + 0.1 = 0.9 alpha
and
one with
=> 0.1 alpha .
This is because the chi square is right tailed.
Now based on the chi square distribution table,
So with alpha 0.9 and 20 degrees of freedom χ²= 12.443
And with alpha 0.1 and 20 degrees of freedom χ²= 28.412
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Which equation is true when the value of X is -12?
A. 1/2x +22= 20
b 15 - (1/2)x=21
c 11- 2x= 17
d 3x- 19= -17
Answer: B is right
Step-by-step explanation: Check the file for steps
How could Miguel use strips of different lengths to make a 4 inch line
To make a 4-inch line using strips of different lengths, Miguel can use the Pythagorean Theorem to determine the length of the other side of the right triangle he creates. Here's how:
If he uses one strip that is 4 inches long and another strip that is shorter than 4 inches, he can arrange them in such a way that they form a right angle.
He can then use the Pythagorean Theorem to determine the length of the shorter strip, which will complete the 4-inch line. The Pythagorean Theorem states that for a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. So, if the shorter strip is x inches long, then the equation is:
\($$4^2 = x^2 + (4 - x)^2$$\)
Simplifying the equation gives:
\($$16 = x^2 + 16 - 8x + x^2$$\)
Combining like terms and moving everything to one side, we get:
\($$2x^2 - 8x = 0$$\)
Factoring out 2x gives:
\($$2x(x - 4) = 0$$\)
So, either x = 0 (which doesn't make sense in this context), or x = 4, which means that the other strip must also be 4 inches long.
Therefore, Miguel can use two strips that are both 4 inches long to make a 4-inch line.
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a brief description of a distribution should include its shape, center, and _____.
A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.
A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.
The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.
The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.
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SHOW ALL WORK : A metal bar has a length of 5.0 cm, a width of 3.0 cm, and a height of 1.0 cm. What volume of water, measured in deciliters, would this bar displace?
9514 1404 393
Answer:
0.15 dL
Step-by-step explanation:
The volume of the bar is ...
V = LWH
V = (5 cm)(3 cm)(1 cm) = 15 cm³
1 dL = 100 cm³, so this volume is ...
(15 cm³)(1 dL)/(100 cm³) = 0.15 dL
The bar will displace 0.15 deciliters.
A square with side lengths of 3.6 cm is enlarged by a scale factor of 4.2.
Determine the side lengths of the enlarged square to one decimal place.
Answer:
answer = 15.1 cm
Step-by-step explanation:
PLZ HELP ME PLZZZZZZZZZZZZZZZZZZZZZZ
Answer and Step-by-step explanation:
Ok, so all we have to do is input the values into the equation.
We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13
and that
Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.
Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
This is the answer.
#teamtrees #WAP (Water And Plant)
Answer: Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
Step-by-step explanation:
You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) 2.7 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.)
a). The difference between the two population means is estimated at a location to be 2.7.
b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.
c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).
d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
What is standard deviations?The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.
Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample
\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).
With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.
We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).
The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the
average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).
Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).
The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).
As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
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Use the Euclidean algorithm to find ged(707, 413), and find integers s, t such that 707s + 413t = gcd (707,413). (b) Are there integers x, y such that 707x +413y = 9? If there are, give an example. If there are no such r, y, then prove it.
a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1
Thus, gcd (707,413) = 1.
We can find the coefficients s and t that solve the equation 707s + 413t
= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71
= - 12 · 56 + 6 · 119 - 71
= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71
= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71
= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71
Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.
b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.
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Blaine is on vacation in New York City and wants to collect magnets of places he visits to give to all his friends. The Times Square magnets cost $2 each and come in sets of 4. The Statue of Liberty magnets cost $3 each and come in sets of 5. If Blaine buys 12 sets of each type of magnet, how much will he pay?
For Times Square magnets, we have that the price of each magnet is 2 dollars / magnet, there are 4 magnets / set, and Tom buys 12 sets. For Statue of Liberty magnets, the price is 3 dollars / magnet, there are 5 magnets / set, and Tom buys 12 sets
We can make a table of these values:
Magnets Price ($$/magnets) Set Size (magnets/set) Quantity (sets)
T.S. 2 4 12
S. of L. 3 5 12
Now, we can use the formula
Total Cost = Number of Magnets Bought * Price = (Quantity * Set Size) * Price
So we see that
Cost of T.S. magnets = Quantity * Set Size * Price
= 12 sets * 4 magnets * 2 dollars = $96
set magnet
Cost of S. of L. magnets = Quantity * Set Size * Price
= 12 sets * 5 magnets * 3 dollars = $180
set magnet
So the total amount spent was $96 + $180 = $276.
the total number of sides in 2 regular polygons is 13, and tge titak number of diagonals is 25. how many sides is each polygon
One polygon has 6 sides and the other has 7 sides.
Polygons are closed 2D shapes made up of straight lines. Regular polygons have sides of equal length and angles of equal measure. In this problem, we are given information about two regular polygons.
We are told that the total number of sides in both polygons is 13. Let's call the number of sides in one polygon "n" and the number of sides in the other polygon "m". Then, we know that:
n + m = 13
Next, we are given the total number of diagonals in both polygons, which we can calculate using the formula:
d = (n(n-3) + m(m-3))/2
where "d" is the total number of diagonals. We are told that d = 25. Substituting this value and the equation for n + m into the diagonal formula, we get:
25 = (n(n-3) + m(m-3))/2
25 = (n² - 3n + m² - 3m)/2
50 = n² - 3n + m² - 3m
We can use the equation n + m = 13 to solve for one variable in terms of the other. For example, we can solve for "m" by subtracting "n" from both sides:
m = 13 - n
Substituting this into the previous equation, we get:
50 = n² - 3n + (13-n)² - 3(13-n)
50 = n² - 3n + 169 - 26n + n² - 36 + 3n
Simplifying this equation, we get:
2n² - 26n + 45 = 0
We can use the quadratic formula to solve for "n":
n = (26 ± √376)/4
n ≈ 5.61 or n ≈ 8.39
Since we are dealing with whole numbers of sides, "n" must be either 6 or 8. Plugging each value into the equation n + m = 13, we find that the other polygon must have the opposite value.
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Solve for x. It's telling me right but all have to ask is to just please answer quick
Answer: (7y+237) / 8 = x
Step-by-step explanation:
So your equation is:
(2y+50) + (7x-248) + (5y-17) + (x+44)
First thing to do is combine all the like terms. Lets start with y. So that would be 2y + 5y= 7y and 50 + -17 is 33. The new equation is:
(7y + 33) + (7x-248) + (x+44)
Now we will combine the x. We will do -248+44= -204
and 7x+x= 8x.
Now our new equation is:
(7y + 33) + (8x+-204)
Now we can subtract 33 from -204. That is 237.
Now we have 7y+237 = 8x
To isolate x we need to divide by 8. That will give us this:
(7y+237) / 8 = x