Answer:
Step-by-step explanation:
Let's solve for x.
y+2x=−1
Step 1: Add -y to both sides.
2x+y+−y=−1+−y
2x=−y−1
Step 2: Divide both sides by 2.
2x
2
=
−y−1
2
x=
−1
2
y+
−1
2
Answer:
x=
−1
2
y+
−1
2
Answer:
Answers below
Step-by-step explanation:
Q1. 2x=−1−y
=
2
−1−y
Q2. −x=4−3y
x=−4+3y
x=3y−4
Luis le dice a su amiga: "Yo tengo ahora el triple de edad que tú tenías, cuando yo tenía la edad que tú tienes ahora". Si entre los dos suman 50 años, ¿cuántos tiene cada uno?
Answer:
Luis tiene 30 años de edad y su amiga tiene 20 años edad.
Step-by-step explanation:
Cuando Luis tenia 20 años de edad (hace 10 años), su amiga tenia solamente 10 años de edad. Si multiplicamos 10 x 3 nos da como resultado 30, que es la edad actual de Luis.
L + A = 50
3(A - x) = L
L = 50 - A
3A - 3x = 50 - A
4A = 50 + 3x
en este punto podemos probar diferentes alternativas para x:
x = 5, entonces 4A = 50 + 15
A = 16.25 no es factible porque estamos buscando numeros enteros
x = 6, entonces 4A = 50 + 18
A = 17
al reemplazar, nos da una edad de 3(17 - 5) = 36 para Luis, pero 36 + 17 = 53
x = 8, entonces 4A = 50 + 24
A = 18.5 no es factible porque estamos buscando numeros enteros
x = 10, entocnes 4A = 50 + 30
A = 20
al reemplazar, nos da una edad de 3(20 - 10) = 30 para Luis, y 30 + 20 = 50
If Tina rode her bike at a constant rate for the first three hours, what was Tina's average calories burned, in calories per hour, between hour 0 and hour 3?
Answer: 400 calories per hour
Step-by-step explanation:
Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).
Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)
This is given as: 1200 calories / 3 hours = 400 calories per hour.
Please answer this question :)
White any four rational numbers having the denominator 2 or power of
2. then express them in decimals. Are the decimals always terminating?
While the remarks of your investigation.
9514 1404 393
Answer:
1/2 = 0.53/16 = 0.18755/64 = 0.0781257/2048 = 0.00341796875yesStep-by-step explanation:
A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.
Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.
Example:
[tex]\dfrac{7}{2048}=\dfrac{7}{2^{11}}=\dfrac{7\cdot5^{11}}{2^{11}\cdot5^{11}}=\dfrac{7\cdot5^{11}}{10^{11}}=0.00341796875[/tex]
hope this helps.enjoy!!!!!!
Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 13 options: A) 8 B) 10 C) 1∕2 D) 6
Answer:
D) 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1/2, -8)
Point (-1/2, -2)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-1/2+1/2)^2+(-2+8)^2}[/tex]Add: [tex]d = \sqrt{(0)^2+(6)^2}[/tex]Exponents: [tex]d = \sqrt{0+36}[/tex]Add: [tex]d = \sqrt{36}[/tex]Evaluate: [tex]d = 6[/tex]A pair of linear equations is shown:
y = −2x + 3
y = −4x − 1
Which of the following statements best explains the steps to solve the pair of equations graphically?
Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.
Answer:
C
Step-by-step explanation:
I DID THE TEST
The required explanation which is best for the solution of the given equation is option C.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
We are Given a system of equations,
y = −2x + 3 (1)
y = −4x − 1 (2)
The slope of equation 1
m = -2 and y-intercept = 3
Also The slope of equation 2
m = -4 and the y-intercept = -1
So, From option that matched the calculation
Therefore, "Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines."
Thus, the explanation that is best for the solution is given by Option C
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9 A book publishing company selected 30 out of 50 books submitted for publishing.
What decimal is equivalent to the fraction of books selected for publishing?
Answer:
Step-by-step explanation:
30/50= 3/5= 0.6
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
A.subtract 1, add x, divide by 4
B.add x, subtract 4, divide by 4
C.add x, subtract 1, divide by 4
D.subtract 3x, subtract 4, divide by -4
E.subtract 3x, subtract 4, divide by 4
(More than one answer)
Answer:
A, C & D
Step-by-step explanation:
A) 1 + 3x = -x + 4 {subtract 1}
1 + 3x -1 = -x + 4 - 1
3x = -x + 3 {add x}
3x + x = -x + 3 + x
4x = 3 {Divide by 4}
4x/x = 3/4
x = 3/4
C) 1 + 3x = -x +4 {Add x}
1+ 3x + x = - x +4 + x
1 + 4x = 4 {subtract 1}
4x = 4 - 1
4x = 3 {Divide by 4}
D) 1 + 3x = -x + 4 { Subtract 3x}
1 = -x + 4 -3x
1 = -4x + 4 Subtract 4}
1 - 4 = -4x
-3 = -4x {Divide by -4}
-3/-4 = x
x = 3/4
x = 3/4
Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?
Answer:
9
Step-by-step explanation:
because area = length times with so it also means area divided by with with = length
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)
Thank you if you can help me!
if n represents a number, write an expression that represents a number that is 5 less than n.
n-5
less than implies subtraction after the variable
. In 2000, the population of Dallas was 1,188,580. Round that number
to the nearest hundred thousand.
b. Round 3.14159 to four decimal places.
. The price of regular unleaded gasoline was $2.19 Round that price
to the nearest cent.
d. ESTIMATE Estimate the height of the ceiling in your classroom in
meters and in feet.
.. Estimate the sum of 3879 and 5276.
1. Estimate the product of 121 and 9.75 by rounding each number to the
nearest whole number before multiplying.
D. EVALUATE Gus works 39 hours for $9.85 per hour. He calculates that
his weekly paycheck should be $38,415. What is a reasonable
estimate of what Gus earns? How do you suppose Gus arrived at his
calculation?
h. A rectangular room is 11 feet long and 10 feet wide. Grace
calculated the area to be about 124 square feet. Explain why her
calculation is or is not reasonable.
1. It is 6:05 p.m, and Eduardo is driving to Dallas. If he is 157 miles away
and driving at an average speed of 62 miles per hour, is it reasonable
that he can reach Dallas by 9:00 p.m.? Explain your answer.
Answer:
please forgive me I have no clue
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
------------------
Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
------------------
Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )
------------------
9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
Put both equations into y=mx+by = 1/2x -2 AND y = -1/2x -2The population of a city increases by 5% every year. If its population today is 300,000, what will its population be
in 2 years?
Answer:
330,750 people
Step-by-step explanation:
If the population increases by 5% every year, in 2 years the population of the city will be 330,750 people. D is also the correct answer as shown in the file.
Population after 2 year is 330,750
Growth rate problem:Given that;
Growth rate = 5% = 0.05
Current population = 300,000
Find:
Population after 2 year
Computation:
Population after 2 year = 300,000(1 + 0.05)²
Population after 2 year = 300,000(1.05)²
Population after 2 year = 330,750
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9 3/4 as a percent step by step
Answer:
9 3/4 in a percent is 975%.
If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%
help i’ll give brainliest if it’s right
Answer:
C
Step-by-step explanation:
HELP PLEASE!!! STATISTICS
Answer:
its b
Step-by-step explanation:
its b i for some reason got it right
72 more females than males are enrolled in Archimedes High school. 60% of the students are female. What is the number of male students that are enrolled?
Answer:
115.2
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
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3g - 5 = 17
Help plz
Answer:
g = 7 1/3
Step-by-step explanation:
Add 5 to both sides so it cancels out. 3g = 22Divide both sides by 3. g = 7.333...7.333... and 7 1/3 are equivalent, so just put either one.
choose the graph that represents the point on the coordinate plane. P (0,8)
Note: You missed to add the diagram. After a little research, I found the diagram.
Hence, I am solving the question based on the attached diagram.
Answer:
option C is the right graph that represents the point P(0, 8) on the coordinate plane.
Step-by-step explanation:
The assumed diagram is attached below.
From the diagram, it is clear that:
Graph A represents the point P at the location (8, 8).Graph B represents the point P at the location (8, 0).Graph D represents the point P at the location (8, 1).But, if we closely observe the graph C on the diagram below, we can validate that graph C is clearly indicating that the point P is located at the location (0, 8).
Hence, option C is the right graph that represents the point P(0, 8) on the coordinate plane.
PLEASE HELP ILL GIVE BRAINLIEST!!!!
Answer:
The first one is x=45
The second one is w=14
The third one is x=6
Step-by-step explanation:
PLEASE HELP!!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.
Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.
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Will give brainiest for the correct answer! please!
Answer:
A
Step-by-step explanation:
it's has 1 sulotion hope this helps
When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.
Answer:
Ok, the domain is the set of values that we can input in a function.
In this case, we have:
y = Ix - 6I + 3.
Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.
The correct domain is x, x ∈ R
Now, if we had (for example) something like:
y = Ix - 6I < 3
Now we have a restriction in the domain because we can not have y equal or larger than 3.
To find the domain, we can break the absolute value:
Ix - 6I < 3
is equivalent to:
-3 < x - 6 < 3
now let's add 6 in each side.
-3 + 6 < x - 6 + 6 < 3 + 6
3 < x < 9
That will be the domain in that case.
what is the restriction in the determining if the given equation is a polynomial?
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
Why does the government issue only bonds, while companies issue both stocks and bonds?
a. The US government does not involve itself in the stock market because it does not want to risk
losing money if there should ever be a crash in the stock market.
Because the stock market is used as a form of gambling, the government refuses to associated
itself with the stock market as a way to discourage gambling.
Stock in a company gives the holder part-ownership of the company, with voting rights on big
decisions, and profits when the value goes up. The people already vote on happenings in the
government and inherently have ownership of the government.
d. A stock is a part ownership in a company, and the leaders of the government won't have the people owning the government.
Answer:
the answer is C
Step-by-step explanation:
Hence, option (C) is the correct answer.
What is a stock market?
The term stock market refers to several exchanges in which shares of publicly held companies are bought and sold.
Such financial activities are conducted through formal exchanges and via over-the-counter (OTC) marketplaces that operate under a defined set of regulations.
Stock in a company gives the holder part-ownership of the company, with voting rights on big decisions, and profits when the value goes up.
Hence, option (C) is the correct answer.
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Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on
Answer:
8 rides and 5 games
Step-by-step explanation:
2.25x+1.25y=24.25 2.25(8)+1.25(5)=24.25 18+6.25=24.25
A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours?
A y = 55x + 190
B y = 55x + 45
C y = 45x + 190
D y = 45x + 55
Answer:
D. y = 45x + 55
Step-by-step explanation:
If a computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment, we can say that;
when c1 = $190, t1 = 3
when c2 = $370, t2 = 7
c is the amount charged
t is the time taken
First thug is to get the slope;
slope = c2-c1/t2-t1
slope = 370-190/7-3
slope = 180/4
slope = 45
Next is to get the intercept by substituting m = 45 and (190, 3) into the standard form of the equation y = mx+c as shown;
190 = 45(3)+c
190 = 135+c
c = 190-135
c = 55
Substitute into the standard form of the equation;
y = mx+c
y = 45x + 55
Hence option D is correct
Please answer will give brainliest. Also, please check my other questions out I need help!!
Answer: C
Step-by-step explanation:
Find the slope of the line that passes through the points (5,9) and (2,7).
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1