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Solve for x. 2/5(x−9/10)=−2 3/4 Enter your answer as a mixed number in simplest form in the box. x =
Answers
Answer:
0
Step-by-step explanation:
\(\frac{2}{6(x-\frac{9}{10}) } =-2\frac{3}{4}\)
1. The first step is to distribute the 6 to the \((x-\frac{9}{10})\):
\(\frac{2}{6x-7\frac{2}{10}} =-2\frac{3}{4}\)
2. The second step is to get 6x-7 2/10 out of the denominator, so you have to multiply that on both sides which looks like this:
\(2 =-2\frac{3}{4}(6x-7\frac{2}{10})\)
3. The third step is to distribute the -2 3/4 to the (6x-7 2/10):
\(\frac{-5}{4} * \frac{6x}{1}=\frac{-30x}{4}\)
\(\frac{-5}{4} * \frac{72}{10}=\frac{-360}{40}\)
\(\frac{-30x}{4}-\frac{-360}{40}=1\frac{x}{2}\)
\(1\frac{x}{2} =2\)
4. The fourth step is to get x by itself so you are going to change the mixed number into an improper fraction:
\(2+x=2\)
5. All you do is subtract 2 from both sides of the equation and x=0
Related Questions
julio can answer 3 math problems in 10 minutes. he completed his math homework after school, which consisted of 14 questions. assuming he worked at the same rate the entire time, how long did it take julio to complete his math homework?
Answers
Julio can complete one math problem in 10/3 = 3.33 minutes.
Therefore, he can complete all 14 math problems in 14 x 3.33 = 46.62 minutes.
So, it took Julio approximately 46.62 minutes to complete his math homework.
To solve this problem, we need to use the concept of rate and time. We are given that Julio can complete 3 math problems in 10 minutes, which means his rate of work is 3/10 = 0.3 math problems per minute. We need to find out how long it would take him to complete 14 math problems, which is simply a matter of multiplying the number of problems by his rate of work. So, 14 x 0.3 = 4.2 math problems per minute.
However, we need to convert this to time, so we take the reciprocal of 0.3 to get 3.33 minutes per math problem. Finally, we multiply this by the total number of problems (14) to get the total time it took Julio to complete his homework, which is approximately 46.62 minutes.
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A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answers
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
expand and simplify. (3x+1)(2x+4)
Answers
(6x^2)+(12x)+(2x)+(4)
6x^2+14x+4 (devide by 2)
3x^2 +7x +2
What is the value of the following expressions?
Answers
Answer:
9 is the answer.
Step-by-step explanation:
( -89)/(-9)
When (-) I'd divided by (-) it changes into (+)
Soo, the answer is 9
What is the solution of the equation x + 12.23 = 28.659?
Answers
Answer:
16.429
Step-by-step explanation:
x+12.23=28.659
28.659-12.23=16.429
Answer:
\(\mathrm{x=16.429}\)Step-by-step explanation:
\(\mathrm{x + 12.23 = 28.659}\)
Subtract 12.23 from both sides:-
\(\mathrm{x=28.659-12.23}\)
Simplify :-
\(\mathrm{x=16.429}\)
___________________
-Hope this helps!
Expand and simplify (x - 1)(x + 2)(x - 1)
Answers
Answer:
\((x - 1)(x + 2)(x - 1)=(x-1)^{2}(x+2)\)
Step-by-step explanation:
Use the product rule \(x^{a} x^{b}=x^{a+b}\)
Answer:
x^3 -3x + 2
Step-by-step explanation:
(x - 1)(x - 1) =
x^2 -2x + 1 (x+2) =
x^3 + 2x^2
-2x^ - 4x
x + 2
----------------------------
x^3 -3x + 2
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
Answers
Answer:
I may be wrong but I think it's c
a rectangular pasture has a perimeter of 1200 feet. the pasture's length is 200 feet more than its width. what is the area of the pasture?
Answers
The area of the rectangular pasture is found to be 80,000 ft².
Explain the term Rectangle?A rectangular is a flat, two-dimensional object with four sides. A rectangle has two opposite sides that are parallel to one another and have the same length. A rectangle with the dimensions l and w has an area of l w. The rectangle's perimeter is 2(l + w).Given:
A rectangular pasture does have a 1200 foot circumference. The width of the meadow is 200 feet wider than its length.Let the pasture's rectangular length be l feet.
Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.
The pasture's boundary is;
2(l + w) = 1200
2(l + l - 200) = 1200
2l - 200 = 600
l = 400 feet
Width; w = l - 200
w = 400 - 200 = 200 feet
Rectangular area;
A = l x w
A = 400 x 200
A = 80,000 ft²
Thus, the area of the rectangular pasture is found to be 80,000 ft².
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It is assumed that approximately 15% of adults in the US. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not? Choose the correct answer below ○ A. O B. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent No, because the 100 adults were selected without replacement, the selections are dependent. No, because the probability of being right-handed is greater, x must count the number of right-handed adults. C. O D.
Answers
D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.
The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.
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4 - 3 + 10 ÷ 5 x 2
is the answer 5 or 2
Answers
Answer:
5 is the answer.
Step-by-step explanation:
4 - 3 + 10 ÷ 5 x 2
=> 4 - 3 + 2 x 2
=> 4 - 3 + 4
=> 4 + 1
=> 5
Therefore, 5 is the answer.
Hoped this helped.
Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1100, how many student tickets were sold? How many adult tickets were sold?
Answers
The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.
Given information-
The price of the tickets for the basketball game for adults is $4.00.
The price of the tickets for the basketball game for students is $2.50.
VariablesVariables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.
Let the total tickets purchased by the students is x and the total tickets porches by the adults is y.
As the total tickets sold for the game is $320. Thus,
\(\begin{aligned}\\ x+y&=320\\ y&=320-x\\ \end\) .......1
Now as the total money with ticket selling is $1100. Thus,
\(2.5x+4y=110\)
Keep the value of u from the equation 1 in the above equation. We get,
\(\begin{aligned} 2.5x+4(320-x)&=1100\\ 2.5x+1280-4x&=1100\\ -1.5x&=1100-1280\\ -1.5x&=-180\\ x&=\dfrac{180}{1.5} \\ x&=120\\ \end\)
Thus the number of tickets sold to the student are 120.
Keep this value in equation 1,
\(y=320-x\\ y=320-120\\ y=200\)
Thus the number of tickets sold to the adults are 200.
Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.
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in the given parallelogram ABCD , find the value of x and y
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Value of given variables are :
\(x = 36 \degree\)\(y = 37 \degree\)\( \large \boxed{ \mathfrak{Explanation}}\)
The solution is in attachment ~
in the given parallelogram ABCD , find the value of x and y
Answer:
x = 36
y = 37
Imagine the island of St. Elsewhere off the coast of Alaska. In
1900, 52 reindeer are introduced. If the growth rate is .12, what
will be the number of reindeer in 1920 (20 years later)
Answers
The number of reindeer in St. Elsewhere in 1920 will be approximately 475.
The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.
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The equation 18 + p = 34 represents the sum of Reese's and Ana's ages, where p represents Reece's age. How old is Reece?
QUICKKKK WRITE IN A COMPLETE SENTENCE
Answers
Answer:
therefore reece'sis 16 years old
Step-by-step explanation:
18+p=34
p+18-18=34-18
p=16
What is 12.5% of 104?
Answers
Answer:
13
Step-by-step explanation:
1. convert percent into decimal
12.5% = 0.125
2. find the product
0.125 * 104 = 13
The number 13 is 12.5 percent of 104.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.
Let x be 12.5% of 104.
Here, 12.5% of 104 =x
x= 12.5/100 ×104 (The word "of" means multiplication)
x= 0.125×104
x= 13
Therefore, 13 is 12.5 percent of 104.
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A semi circle of diameter 6cm is cut from rectangle with sides 6cm and 8cm.
Calculate the perimeter of the shaded shape correct to 1 decimal place.
(My words) Add working steps if possible :)
Answers
First find the circumference of the semi-circle which is using the formula (2piR/2)
2*pi*3 / 2 = 3pi “R is radium which is half of the diameter” now we know that the circumference of the semi-circle is 3pi
Now the side at which lays the circle is opposite to 8cm side hence it will equal 8cm in total
So the side at which the semi-circle lays
= 3pi + 2cm remaining
(3pi)+2+6+6+8=31.42477796
Now round the answer to 1 d.p
Perimeter = 31.4cm
The volume of air in a person's lungs can be modeled with a periodic function. The
graph below represents the volume of air, in mL, in a person's lungs over time t,
measured in seconds.
What is the period and what does it represent in this
context?
Volume of air (in ml.)
3000
2500
2000
1900
1000
300
(2.5, 2900)
(5-5, 1100)
Time (in seconds)
(8.5, 2900)
(11.5, 1100)
Answers
The period of this function is 6 seconds and it means the time it takes for a person's lung to inhale and exhale in a full cycle.
How to find the period ?The function's period alludes to the duration required for one complete cycle, culminating in its initial point. Furthermore, this term represents the length of time necessary for a person's lungs to perform a full inhalation and exhalation sequence.
To determine the period, it is integral to recognize the temporal gap between two successive peaks (or troughs) on the chart. This interval deviation precludes:
8. 5 - 2. 5 = 6 seconds
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Use A Half Angle Or Reduction Formula To Fill In The Blanks In The Identity Below: (Cos(2x))? - Cos
Answers
We know that the double-angle formula for cosine is: cos(2x) = 2cos²(x) - 1. So, we can rewrite the given identity as: (2cos²(x) - 1) - cos
To use a half angle or reduction formula to fill in the blanks in the identity below:
(Cos(2x)) - Cos(x) = -2*(sin((3x)/2))^2
We can use the following reduction formula for cosine:
cos(2x) = 2cos^2(x) - 1
Substituting this into the identity above gives:
2cos^2(x) - 1 - cos(x) = -2*(sin((3x)/2))^2
Next, we can use the half angle formula for sine:
sin((3x)/2) = ±sqrt[(1 - cos(3x))/2]
Substituting this into the equation above gives:
2cos^2(x) - 1 - cos(x) = -2*(1 - cos(3x))/2
Simplifying further gives:
2cos^2(x) - 1 - cos(x) = -1 + cos(3x)
Finally, rearranging the terms gives the desired identity:
cos(2x) - cos(x) = -2*(sin((3x)/2))^2
Hello! I'd be happy to help you with your question. Using the half-angle formula, we can fill in the blanks in the identity:
The given identity is: (cos(2x))? - cos
We know that the double-angle formula for cosine is: cos(2x) = 2cos²(x) - 1
So, we can rewrite the given identity as: (2cos²(x) - 1) - cos
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what are the major mathematical and physical differences between the navier stokes and boussinesq equations
Answers
What is Boussinesq equation used for?
In coastal engineering, Boussiness q-type equations are frequently used in computer models for the simulation of water waves in shallow seas and harbours.
What is the physical meaning of the Navier-Stokes equations?
Navier-Stokes equation, in fluid mechanics, a partial differential equation that describes the flow of incompressible fluids. The equation is a generalization of the equation devised by Swiss mathematician Leonhard Euler in the 18th century to describe the flow of incompressible and frictionless fluids.What is the difference between NS equation and Euler's equation in terms of assumption?
The difference between them and the closely related Euler equations is that Navier–Stokes equations take viscosity into account while the Euler equations model only inviscid flow.
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Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil? 5,730 years old 34,380 years old 40,110 years old 45,840 years old?
Answers
Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
What is calibration?Calibration is the comparison of measurement values delivered by a device under test with those of a calibration standard of known accuracy in measurement technology and metrology. A standard could be another known-accuracy measurement device, a device that generates the quantity to be measured, such as a voltage or a sound tone, or a physical artifact, such as a meter ruler. Calibration's goal is to reduce measurement uncertainty by ensuring the accuracy of test equipment. Calibration quantifies and controls measurement errors or uncertainties to an acceptable level.So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.
Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?
a. 5,730 years old
b. 34,380 years old
c. 40,110 years old
d. 45,840 years old
In Canadian coins, 16 quarters is equal in value to 2 toonies. 2. What does the value next to 1 mean in this situation? Type your response in the space below.
Answers
Regarding the Canadian coins, 1 toonies will be equal to 8 quarters.
How to illustrate the information?From the information given, it was stated that 16 Canadian coins, 16 quarters is equal in value to 2 toonies.
Therefore, it's important to find the constant of proportionality. This will be:
y = kx
where y = quarter
k = constant
x = toonies
16 = 2k
k = 16/2
k = 8
The value next to 1 quarter will be:
y = kx
y = 1 × 8
y = 8
Therefore, the toonies will be equal to right quarters.
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30.94÷0.7=?? with explanation
Answers
The value of the quotient when 30.94 is divided by 0.7 will be 44.2
Division of numbersDividing two numbers involves obtaining the number of times the denominator value can be obtained from the numerator.
Here, the numerator is 30.94 and the denominator is 0.7
To make things easier, we can convert the values to whole numbers by multiplying the values by 100
30.94 × 100 = 3094
0.7 × 100 = 70
Hence, Using a calculator ;
3094 / 70 = 44.2
The quotient value would be 44.2
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The screen of a tablet is shaped like
a rectangle. Find the area of the screen by
A = bh, when b = 7 in and
A h = 11 in.
Answers
The screen of a tablet is shaped like a rectangle. then the area of the screen is 77 square inches.
What is the area of a rectangle?
If the length of the rectangle is 'l' and the breadth of the rectangle is 'b', then the area of the rectangle can be calculated as
Area = Length * Breadth
The length of the screen is 11 in. and the breadth of the screen is 7 in.
Then the area of the screen,
Area = length * breadth
= 11 * 7
= 77 square inches.
Hence, the screen of a tablet is shaped like a rectangle. then the area of the screen is 77 square inches.
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What is the area of this triangle?
Answers
Answer:
the answer of the question is D
can you guys please help me?
Answers
Frequency means how often a number or something appears.
so,
2
4
3
5
What’s the x and y to this
Answers
\(\huge\begin{array}{ccc}y=-\dfrac{3}{2}x+3\end{array}\)
The equation of a straight line passing through two points.
The "point-slope" form of the equation of a straight line:
POINTS:
\((x_1,\ y_1),\ (x_2,\ y_2)\)
EQUATION:
\(y-y_1=m(x-x_1)\)
where
SLOPE:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
SOLUTION:We have two points whose coordinates can be read from the graph:
\((0,\ 3),\ (2,\ 0)\)
Substitute:
\(m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}=-\dfrac{3}{2}\\\\y-3=-\dfrac{3}{2}(x-0)\\\\y-3=-\dfrac{3}{2}x\)
add 3 to both sides
\(y-3+3=-\dfrac{3}{2}x+3}\\\\\boxed{y=-\dfrac{3}{2}x+3}\)
a. find the probability that there will be no accidents during the month at the factory. b. find the probability that there will be 4 or more accidents during the month at the factory. c. given that the factory had at least one accident during the month, find the probability that the factory had 4 or more accidents during the month.
Answers
To find the probability for no accidents use the formula P(no accidents) = (1-p)^n, To find the probability that there will be 4 or more accidents use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents), and at least one accident during the month, t - use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents).
a. To find the probability that there will be no accidents during the month at the factory, use the formula P(no accidents) = (1-p)^n, where p is the probability of an accident occurring and n is the number of trials (in this case, the number of days in the month).
b. To find the probability that there will be 4 or more accidents during the month at the factory, use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents), where P(0, 1, 2, 3 accidents) is the probability of 0, 1, 2, or 3 accidents occurring during the month.
c. Given that the factory had at least one accident during the month, the probability that the factory had 4 or more accidents during the month is the same as in part b - use the formula P(4 or more accidents) = 1 - P(0, 1, 2, 3 accidents).
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Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; zeros: 5,i,3i The remaining zero(s) of f is(are) (Use a comma to separate answers as needed.)
Answers
The remaining zeros of f. Degree 5; zeros: 5,i,3i The remaining zero(s) of f is the remaining zeros of the polynomial f(x) are: -i, -3i.
To find the remaining zeros of the polynomial f(x) with the given information, we need to consider the degree of the polynomial and the known zeros.
The degree of the polynomial is 5, and the known zeros are 5, i, and 3i. Since the coefficients are real numbers, the complex zeros occur in conjugate pairs.
We know that i is a zero, so its conjugate -i will also be a zero. Similarly, 3i has a conjugate -3i as a zero.
Therefore, the remaining zeros of f(x) are -i and -3i.
To summarize, the remaining zeros of the polynomial f(x) are: -i, -3i.
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If f(x) = 2x - 2 and g(x) = x}, what is (gºf)(4)?
Answers
Answer:
We conclude that:
(gºf)(4) = g(f(4)) = g(6) = 6
Step-by-step explanation:
Given
\(f(x) = 2x - 2\)
\(g(x) = x\)
We have to determine (gºf)(4).
(gºf)(4) = g(f(4))
f(4) = 2(4)-2
= 8 - 2
= 6
Thus,
(gºf)(4) = g(f(4)) = g(6) = 6
Therefore, we conclude that:
(gºf)(4) = g(f(4)) = g(6) = 6
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answers
Answer:
350 hours
Step-by-step explanation:
700/2 = 350
There are double the amount of workers so it is half the time.