2x - x + 3x + 5 = 25
Solve for X
Answers
Answer:
\(\bf x=5\)Step-by-step explanation:
\(\bf 2x - x + 3x + 5 = 25\)
Combine like terms.
\(\bf 4x+5=25\)Subtract 5 from both sides.
\(\bf 4x+5-5=25-5\)\(\bf 4x=20\)Divide both sides by 4.
\(\bf \cfrac{4x}{4}=\cfrac{20}{4}\)\(\bf x=5\)__________________Answer:
The value of the unknown (x) is equal to 5Step-by-step explanation:
To find the value of x, we follow these steps:
To solve an equation that is not simplified, what we have to do first is simplify it. We have to group all the similar terms, in this case, there is only one unknown, so we will have to simplify that:
\( \rm (2x - x) + 3x + 5 = 25 \\ \rm (x + 3x) + 5 = 25 \\ \rm 4x + 5 = 25\)
Now when a term is adding, we must go to the other side of the equality to subtract from the other equal term In this case, +5 is adding, so we must go to the other side of the equal to do the opposite: Subtract this to 25:
\( \rm4x = 25 - 5 \\ \rm 4x = 20\)
Continuing with the opposite operations, we see that 4 multiplies the unknown, so we must go to the other side of the equal to divide 20/4, as follows:
\( \rm x = \frac{20}{4} \\ \boxed{ \: \: \: \: \: \: \rm x = 5 \: \: \: \: \: \: }\)
So:
The value of the unknown (x) is equal to 5Related Questions
the area of a square with side s is ()=2a(s)=s2. what is the rate of change of the area of a square with respect to its side length when =5s=5
Answers
The rate of change of the area of a square with respect to its side length when s = 5 is 10.
The given equation represents the area of a square as a function of its side length, A(s) = s^2.
To find the rate of change of the area with respect to the side length, we differentiate the area function with respect to s:
dA/ds = 2s.
Substituting s = 5 into the derivative, we have:
dA/ds = 2(5) = 10.
Therefore, the rate of change of the area of a square with respect to its side length when s = 5 is 10. This means that for every unit increase in the side length, the area of the square increases by 10 units.
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At the beginning of the day, the stock market goes up 30 1/2 points. at the end of the day, the stock market goes does 120 1/4 point. what is the total change in the stock market from the beginning of the day to the end of the day?
Answers
The total change in the stock market from the beginning of the day to the end of the day is a decrease of \(89\frac{3}{4}\) points.
To find the total change in the stock market, we need to subtract the decrease at the end of the day from the increase at the beginning of the day.
The stock market starts by going up \(\(30 \frac{1}{2}\)\) points, which we can represent as a positive value: \(\(30 \frac{1}{2}\)\).
Then, the stock market goes down \(\(-120 \frac{1}{4}\)\) points, which we can represent as a negative value: \(\(-120 \frac{1}{4}\)\).
To find the total change, we subtract the decrease from the increase:
\(\(30 \frac{1}{2} - 120 \frac{1}{4} \\\\= 30.5 - 120.25 \\\\= -89.75\).\)
Therefore, the total change in the stock market from the beginning of the day to the end of the day is a decrease of \(89\frac{3}{4}\) points.
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What is the value of x for 2x+14=y
Answers
Answer:
x = (y - 14) / 2
Step-by-step explanation:
2x + 14 = y
2x = y - 14
x = (y-14)/2
if a play station was purchased for $558 after 10% discornt what was the origanal price of the play station
Answers
Answer:
nxejcxjwxjw kjxn
Step-by-step explanation:
nxke jxin jinjid c i
a major disadvantage of correlations is that they cannot make a(n) blank statement. multiple choice question.
Answers
A major disadvantage of correlations is that they cannot make a cause-and-effect statement.
What are correlations?Correlations are statistical measures that describe the size and direction of a relationship between variables.
Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.
The disadvantages of correlations include:
There are no causes and effects.Results can find no inference.The strength of the relationship is not explained.There is the possibility of a confounding factor.Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.
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There are 6 green marbles, 11
blue marbles, 7 red marbles, and 8
orange marbles in a bag. Three
marbles are selected and marbles
are NOT replaced. What is the
probability of selecting a green
marble, then a red marble?
Answers
Step-by-step explanation:
green: 6/4
red: 7/4
this is all i know
If Sullivan got 32 pieces of candy, how many did Carter get? Answer
Answers
Sullivan received half as many candy as Carter did, or half as many candies as Sullivan received.
What is an amount?aggregate means the complete amount or quantity. attempting to estimate the time required. the amount on hand or being considered. mutable noun How much of something there is, how much you possess, require, or receive, is known as its amount. He is dependent on that sum of money to get by.Therefore, a number only refers to things that we can count. Contrarily, quantity relates to how much of something there is, such as how much liquid, resistance, or stimulation. In actuality, the term "amount" refers to amounts that we can measure but not count individually." Amount is defined as the representation of total quantity of given object."
According to the question,
Number of candies Sullivan got = s
Number of candies Carter got = 2s
Compare the given amount of data we get,
Number of candies Carter got = 2(Number of candies Sullivan got )
This shows Carter got twice number of candies comparison to Sullivan.
or
Number of candies Sullivan got = 1/2 (Number of candies Carter got)
Sullivan got half number of candies compare to Carter.
Hence, we conclude Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.
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Circle the polygon(s) which are similar to the shaded one:
Answers
Answer:
circle the second and forth one
Answer
Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)
Step-by-step explanation:
The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Round intermediatez value calculations to two decimal places and the final answers to four decimal places. Source: New York Times Almanac. Part 1 What is the probability that a randomly selected teacher makes less than $46,800 per year? P(X < 46,800)= 0.0808 Part 2 out of 2 If we sample 85 teachers' salaries, what is the probability that the sample mean is less than $56,200? Assume that the sample is taken from a large population and the correction factor can be ignored. P(X <56,200)
Answers
The probability that a randomly selected teacher makes less than $46,800 per year is 0.0808
According to the question,
If X is random variable follows normal distribution
The average teacher's salary in Connecticut = $57,337
The standard deviation = $7500
We have to find the probability that a random selected teachers makes less than $46,800 = P( X < 46,800 )
subtracting by $57337 and dividing by $7500
=> P( X- 57337 / 7500 < 46,800-57337 / 7500)
=> P( z < -10537 / 7500)
=> P(z < -1.404)
Using z- probability distribution table ,
=> 0.0808
If we take 85 sample of teachers,
Then the probability that the sample mean is less than $56,200 = P(x < 56200)
subtracting by $57337 and dividing by $7500
=> P(x-57337 / 7500 < 56200 - 57337 / 7500)
=> P( z < -0.1516)
Using z- probability distribution table ,
=> 0.4404
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Which of the following is a solution to the equation
2x² + 4x=3+3x² ?
A) - 1
B) 0
C) 3
D) 6
Answers
El denominador de una fracción es 3 unidades menor que su numerador, y la fracción es 2,1 unidades mayor que su recíproco. ¿Cuál es esta fracción si tanto su numerador como su denominador son números enteros?
Answers
Además, sabemos que la fracción es 2,1 unidades mayor que su recíproco, que es (x-3)/x. Por lo tanto, podemos escribir la siguiente ecuación:
x/(x-3) = (x-3)/x + 2,1
Para resolver esta ecuación, primero simplifiquemos la fracción a la derecha del signo igual:
x/(x-3) = ((x-3) + 2,1x)/x
x/(x-3) = (3,1x - 3)/x
Ahora podemos multiplicar ambos lados de la ecuación por (x-3) para eliminar el denominador de la fracción a la izquierda:
x = (3,1x - 3)(x-3)/x
x = 3,1x - 3
0,1x = 3
x = 30
Por lo tanto, el numerador de la fracción es 30, y el denominador es (30 - 3) = 27. La fracción es 30/27, que se puede simplificar dividiendo ambos términos por 3 para obtener 10/9.
Por lo tanto, la fracción es 10/9.
According to the U. S. Bureau of labor Statistics there were 100,600 chefs/head cooks employed in the United States in 2010 and 320,800 full service managers. Those numbers were projected to decrease to 98,100 and 318,000 by 2020. Which job was facing the largest percentage decrease? By how much? Round your answer to two decimal places, if necessary.
Answers
Given:
In year 2010
Number of chefs/head cooks = 100600
Number of full service manager = 320800
In year 2020
Number of chefs/head cooks = 98100
Number of full service manager = 318000
Required:
Which job is facing the largest percentage decrease
Explanation:
The percentage decrease in number of chefs is given by
\(Percentage=\frac{number\text{ }of\text{ }chefs\text{ }in\text{ }2010-number\text{ }of\text{ }chefs\text{ }in\text{ }2020}{number\text{ }of\text{ }chefs\text{ }in\text{ }2010}\times100\)Substituting the values we get
\(\begin{gathered} Percentage\text{ }decrease\text{ }in\text{ }chefs=\frac{100600-98100}{100600}\times100 \\ \\ =\frac{2500}{100600}\times100 \\ \\ =0.0248\times100 \\ =2.48\% \end{gathered}\)The percentage decrease in number of service manager is given by
\(\begin{gathered} Percentage \\ =\frac{number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2010-number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2020}{number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2010}\times100 \end{gathered}\)Substituting the values we get
\(\begin{gathered} Percentage\text{ }decrease\text{ }in\text{ }service\text{ }manager=\frac{320800-318000}{320800}\times100 \\ \\ =\frac{2800}{320800}\times100 \\ \\ =0.0087\times100 \\ =0.87\% \end{gathered}\)Final answer:
The chef's job is facing the largest percentage decrease by 2.48%
4. bucket a contains paint with 12. 5% blue dye and bucket b contains paint with 20% blue dye.
how much paint from each bucket is required to make 60 liters of paint with 17% blue dye?
a. bucket a: 20 liters, bucket b: 40 liters
b. bucket a: 30 liters, bucket b: 30 liters
c. bucket a: 24 liters, bucket b: 36 liters
d. bucket a: 36 liters, bucket b: 24 liters
w
Answers
On solving the provided question we can say that - by the equation we have v= 60 X ( 4.5 / 7.5), v = 36, 36 Liters
What is equation?An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate
12.5 X (60 - v) + 20v= 17.60
7.5v = 17.70 - 12.5 X 60
v= 60 X ( 4.5 / 7.5)
v = 36
36 Liters
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Danielle has two interest rates to choose from to invest her inheritance of $5,000.
BANK A: 2. 75% compounded monthly; BANK B: 3. 25 compounded semi-annually
Complete Danielle's work to find the better return after 10 years.
Answers
Danielle will get a better return if she invests in Bank B rather than in Bank A.
Given data are,
Bank A: 2.75% compounded monthly
Bank B: 3.25% compounded semi-annually.
In order to find the better return after 10 years, we need to calculate the final amount at both banks.
Let's calculate the final amount of Bank A using the compound interest formula,
A = P(1 + r/n)nt
Where, P = Principal amount, r = annual interest rate, n = number of times interest is compounded per year, t = time (in years).
Here, P = $5,000, r = 2.75% = 0.0275, n = 12 (monthly), t = 10 years.
So, the final amount at Bank A, A = 5000(1 + 0.0275/12)(12×10) = $6,906.90
Now, let's calculate the final amount of Bank B using the formula,
A = P(1 + r/n)nt
Here, P = $5,000, r = 3.25% = 0.0325, n = 2 (semi-annually), t = 10 years.
So, the final amount at Bank B,
A = 5000(1 + 0.0325/2)(2×10) = $7,322.36
Therefore, the better return after 10 years would be at Bank B.
That is, Danielle will get a better return if she invests in Bank B rather than in Bank A.
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a restaurant is introducing a new gluten-free recipe for the topping in its baked zucchini recipe. the chef will continue to use this topping if less than 8% of her customers complain about the new taste. using a random sample of customers, she conducts a hypothesis test with h0: the complaint rate is 8%, and ha: the complaint rate is less than 8%. what is a type i error and its consequence in this context?
Answers
By hypothesis testing, The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.
What does testing your hypotheses mean?
To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample.
First, a hazy assumption about the parameter or distribution is made.
What is hypothesis testing, and how can it be used?
A statistician will test a hypothesis about a population parameter in a process known as hypothesis testing. The type of data used in the study and its purpose will determine the methodology the analyst uses.
The plausibility of a hypothesis is evaluated using sample data in a process known as hypothesis testing.
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The data in the table below satisfies a linear equation.
n c
-7 -16
-6 -13
3 14
5 20
9 32
a
c = n +15
b
c = 4n - 4
c
c = 2n -1
d
c = 3n + 5
Answers
Answer:
c = 3n + 5
Step-by-step explanation:
The equation c = 3n + 5 fits the data in the table. When n = -7, c = -7 * 3 + 5 = -16. When n = -6, c = -6 * 3 + 5 = -13. When n = 3, c = 3 * 3 + 5 = 14. When n = 5, c = 5 * 3 + 5 = 20. And when n = 9, c = 9 * 3 + 5 = 32. All the values of c in the table match the values predicted by the equation c = 3n + 5. Therefore, c = 3n + 5 is the correct equation for the data.
PLEASE HELP ASAP
Apply the square root principle to solve (x-3)² + 9 = 0.
a. x=0,6
b. x=0,-6
c. x=-3+3i, -3 -3i
d. x=3+31,3-3i
Answers
The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
(x-3)² + 9 = 0
(x-3)²= -9
(x-3)=√-9
(x-3)=√9×√-1
(x-3)=±3i
x=3±3i
Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.
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Which of the following is likely to decrease a consumer's credit score?
paying bills on time
spending within his or her means
paying down debts owed
opening several new lines of credit
Answers
2 of out 3 people enjoyed the dance . if there are 171 students at the school dance how many people didn’t enjoy
Answers
Answer:
57
Step-by-step explanation:
2 out of 3 can be expressed as 2/3. Since we are looking at the 1 out of 3 people, we can use the expression 1/3 x 171 or 171/3, which equals 57
55x[78+9]+3 Solve it for me??
Answers
first solve for the equation inside the bracket
55×(87)+3
=55×87+3
4785+3
=4788
The value in dollars, f(x), of a certain car after x years is represented by the equation f(x) = 25,000(0.86)^x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
a. $18,490
b. $34, 391.40
c. $15,901.40
d. $2,588.60
Answers
Answer:
588.6
Step-by-step explanation:
Multiply
0
by
0.86
x
.
f
(
x
)
,
x
y
e
a
r
s
,
f
(
x
)
=
25
,
0
,
2
y
e
a
r
s
,
3
y
e
a
r
s
,
a
,
18
,
490
,
b
,
34
,
391.4
,
c
,
15
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901.4
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588.6
a) What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL;
Answers
Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.
a) The value of x is 155.56 mm (rounded to two decimal places).
b) The value of R is 4.44 mm (rounded to two decimal places).
c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:
UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)
The Lower Control Limit (LCL) for the diameter is calculated as:
LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)
d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:
UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)
The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.
e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:
UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)
LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)
Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.
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The complete question is:
What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5
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I drew what option c was for the third answer
Answers
Answer:
B A B
Step-by-step explanation:
Answer:
1. A or one meter
2. A or 4 kilometers
3. B or 4 thousand strides
Step-by-step explanation:
marathon is 4 kilometers and a kilometer is 1000 strides or meters.
Solve the equation equations by using completing the square method
(a) 4x2 -- 3x - 2 = 0
(b) (2x - 3)2 = 6
Answers
Answer:
Answer:
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
Step-by-step explanation:
(a) 4x2 -- 3x - 2 = 0
x1,2 = -b ± √b²- 4ac
---------------------
2a
x1,2 = 3 ±√41
--------------
8
(b) (2x - 3)2 = 6
4x² -12x + 9 -6 = 0
4x² - 12 x + 3 = 0
Hannah can spend up to $40 on snacks and drinks at the movie theater. A snack costs $5 and a drink costs $3.50.
Use for the number of snacks
Use for the number of drinks
Which inequality represents this situation?
Answers
Answer:
5s + 3.50d < 40
Step-by-step explanation:
if you were to total up the costs of a snack and drink together you'll end up with $8.50
-multiply $8.50 until you reach $40 mark
i.e 8.50×2(means 2 of each item) = $17
8.50×3 = $25.5
8.50×4 = $34
8.50×5= $42.5
-if you look at it, the calculation for 5, the pricing is now over the budget therefore the answer is then 5s + 3.50d < 40 because she can only spend up to $34 at most
X and Y are two different numbers selected from the first fifty counting numbers from 1 to 50 inclusive. What is the largest value that X Y/X-Y can have
Answers
Given that X and Y are two different numbers selected from the first fifty counting numbers from 1 to 50 inclusive. We need to determine the largest value that X Y/X-Y can have.First of all, we can find the range of values for X and Y. Since we are dealing with counting numbers, the range is from 1 to 50 inclusive.
So, X can take any value from 1 to 50, and Y can take any value from 1 to 49. (Since X and Y are different numbers, one value from the range of values is subtracted from the total number of counting numbers to obtain the range of values for Y)We need to find the largest possible value of the expression X Y/X-Y. To do that, we need to consider two cases:Case 1: When X > YIn this case, we can write X as Y + k, where k is a positive integer (since X and Y are different numbers).Substituting X as Y + k in the expression X Y/X-Y, we get:(Y + k)Y / (Y + k - Y) = (Y + k)Y / k = Y²/k + YCase 2: When Y > XIn this case, we can write Y as X + k, where k is a positive integer.
Substituting Y as X + k in the expression X Y/X-Y, we get:X(X + k) / (X + k - X) = X(X + k) / k = X²/k + XSince we need to find the largest value of the expression X Y/X-Y, we need to find the maximum value of the expression in both the cases. From the above expressions, it can be observed that Y²/k + Y will be maximum when k is minimum, and X²/k + X will be maximum when k is minimum.Therefore, to find the largest value of the expression, we need to take k as 1. In other words, X is the next number after Y.Hence, the largest value that X Y/X-Y can have is 49 * 50 / (49 - 1) = 2450.
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A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?
Answers
Answer:
70.3
EXPLANATION:
ejxjcjfkfkgkvkfkdkgnvkdlekgkgngkdkfjvnfk
(-11, 12),(-4,-9) what is the slope
Answers
Answer:
m = -21 / 7 = -3 / 1 = -3
Step-by-step explanation:
i think im not sure but i hope it helps and good luck!
PLEASE I REALLY NEED HELP :p
How is the additive inverse property used to subtract rational numbers?
Use the property to solve the following equations:
(-2) - 4 =
5 - (-5) =
7 + (-4) =
When you are multiplying or dividing integers, how can you determine the sign of the product? What if you are multiplying or dividing more than two numbers?
Write an equation using absolute value to show the distance between -65 and 15. Solve your equation.
Describe a real-world situation in which opposite quantities combine to make zero.
What are the associative and commutative properties? How can the associative, commutative, and additive inverse properties be useful when adding and subtracting rational numbers? Use the equation below to demonstrate these properties:
$25.00 -$15.00 -$37.00 +$ 50.00= balance in bank account
Answers
Answer: 1. The additive inverse of a number is what you can add to that number for the sum to be zero. For real numbers, such as rational numbers, that means the additive inverse can be found by just flipping the sign of the number. The additive inverse property says if you add a number and its additive inverse, then the sum is zero.
For example, let's use the number 3. The additive inverse of 3 is -3, since 3 + (-3) = 0. This is also true the other way around. The additive inverse of -3 is 3.
When subtracting rational numbers, remember that subtracting is the same as adding a negative! That means 3 - 3 is the same as 3 + (-3) or -3 - (-3) is the same as -3 + 3. Both of these sums involve a number and its additive inverse and they add up to zero.
A line has a slope of 2 and a y-intercept of -5. What is its equation in slope-intercept form?
Answers
Answer:
y=2x-5
Step-by-step explanation: