[tex]\left\{\begin{array}{ccc}2x+3y=12&|\text{multiply both sides by 2}\\-4x-6y=-24\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+6y=24\\-4x-6y=-24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=0\qquad TRUE\\\\2x+3y=12\qquad\text{subtract 2x from both sides}\\\\3y=12-2x\qquad\text{divide both sides by 3}\\\\y=4-\dfrac{2}{3}x\\\\Answer:\ \text{It's the dependent system of equations}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=4-\dfrac{2}{3}x\end{array}\right[/tex]
Solving the system using elimination reveals that the two equations are dependent, resulting in infinitely many solutions since they represent the same line. There is no unique solution for x and y.
To solve the system of equations 2x + 3y = 12 and -4x - 6y = -24 using the elimination method, we aim to eliminate one variable by combining the equations. First, notice that the second equation is exactly -2 times the first equation. If we multiply the first equation by 2, we would have identical left-hand sides but with opposite signs, which would cancel out when added together.
Multiplying the first equation by 2 gives 4x + 6y = 24. Now, add this new equation to the second equation:
4x + 6y = 24-4x - 6y = -24Adding them results in 0 = 0, which indicates that the two equations are dependent, and the system has infinitely many solutions. This is because each equation is a multiple of the other, and they both represent the same line. Therefore, we cannot isolate x or y to find a unique solution. The system is consistent and dependent.
Someone please help!!! and show work cause I dont understand this topic!
Answer:
number 1 is A number 2 i don't know
Step-by-step explanation:
Kali runs 10 laps around a track each day each lap around the track is 400 meters how may days will it take Kali to run a total of 12 kilometers
Answer:
30
Step-by-step explanation:
Convert 12 km to metres
1000 m = 1 km
12 km = 12 × 1000/1
Distance = 12 000 m
Kali takes 1 day for 400 m, so
Time = 12 000 × 1/400
Time = 30 da
It will take Kali 30 da to run 12 km.
Answer:
30
Step-by-step explanation:
A sales clerk at a car stereo store works for commission only. If 15% of the people purchase an item where the clerk gets a $3 commission, 30% purchase an item where the clerk gets a $5 commission, and if 55% purchase an item where the clerk gets an $8 commission, what is the expected value per customer who enters the store?
Answer:
The expected value per customer = $6.35.
Step-by-step explanation:
The probability for a $3 commission = 15% = 0.15.
The probability for a $5 commission = 30% = 0.30.
The probability for a $8 commission = 55% = 0.55.
So, the expected value per customer = 3(0.15) + 5(0.30) + 8(0.55)
= 0.45 + 1.50 + 4.40
= 6.35.
Hence, the expected value per customer = $6.35.
Someone please help me with this question? Thanks if you!
Answer:
B
Step-by-step explanation:
A secant is a straight line which intersects a circle at 2 points
The only line which does this is XY → B
the population of a town was 47000 in 1950 and 83000 in 2010. assume the rate of population increase is constant. what will the population be in 2015
Do 83000 minus 47000
To estimate the population of the town in 2015, calculate the annual increase from 1950 to 2010 and use it to project the population. The population was found to be approximately 86,000 in 2015.
To determine the population of the town in 2015, we need to calculate the annual rate of population increase between 1950 and 2010 and use it to project the population for 2015. First, we find the total increase over the 60 years from 1950 to 2010:
Total increase = Population in 2010 - Population in 1950
Total increase = 83000 - 47000 = 36000
Then, we find the annual rate of increase by dividing this total increase by the number of years:
Annual Increase = Total increase / Number of years
Annual Increase = 36000 / 60 = 600
Now that we have the annual rate of increase, we can determine the population in 2015:
Population in 2015 = Population in 2010 + (Annual Increase * Number of years since 2010)
Population in 2015 = 83000 + (600 * 5) = 83000 + 3000 = 86000
The population of the town in 2015 is estimated to be 86000 given the constant rate of population increase.
bring the fraction a/a−4 to a denominator of 16−a^2
really do appreciate this thx
Answer:
-a(a+4)/(16 - a²)
Step-by-step explanation:
a/(a - 4) Multiply by (a + 4)/(a + 4)
= a(a + 4)/[(a – 4)(a + 4)] Multiply the denominatorator terms
= a(a + 4)/(a² - 16) Multiply by -1/(-1)
= -a(a+4)/(-a² + 16) Reorder terms in denominator
= -a(a+4)/(16 - a²)
Please help me with #8
I think the answer might be J 3(-4) since there are 3, -4 jumps.
at the beginning of the month,Jim's bank alance was $275.38. during the month he wrote the following checks :$174.89,$68and $57.76. he made deposite of $ 250 and 350. find his bank balance at the end of the month.
Answer:
275.38 - 174.89 - 57.76 = -25.27
-25.27 + 250.00 + 350 = 574.73
Jim's Bank Balance at the end of the month is $574.73
Answer:
Jim's Bank Balance at the end of the month is $574.73
Step-by-step explanation:
Jim's Bank Balance at the beginning of the month = $275.38
LESS :- Checks paid during the month
(-) 1st Check = $174.89
(-) 2nd Check = $68
(-) 3rd Check = $57.76
ADD :- Deposits made in bank
(+) 1st Deposit = $250
(+) 2nd Deposit = $350
TOTAL = $574.73
Jim's Bank Balance at the end of the month is $574.73
Given: y = 3x - 4.
What is the x-intercept?
Answer:
x- intercept = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
to find the x-intercept, that is where the line crosses the x-axis.
let y = 0 in the equation and solve for x, that is
3x - 4 = 0 ( add 4 to both sides )
3x = 4 ( divide both sides by 3 )
x = [tex]\frac{4}{3}[/tex] or ( [tex]\frac{4}{3}[/tex], 0 )
Answer:
x-intercept is 4/3.
Step-by-step explanation:
We have been given the linear equation [tex]y=3x-4[/tex]
For x-intercept, y = 0
Hence, plugging y=0 in the equation and solve for x
[tex]3x-4=0[/tex]
Add 4 to both sides
[tex]3x=4[/tex]
Divide both sides by 3
[tex]x=\frac{4}{3}[/tex]
Hence, x-intercept is 4/3.
A bag contains 10 green marbles and 4 yellow marbles. If two marbles are chosen at random, one at a time and without replacement, what is the probability of getting two green marbles?
Answer:There is high probability that getting two green marbles.
Step-by-step explanation:
Emily is entering a bicycle race for charity. Her mother pledges $0.10 for every 0.25 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer:
0.10 for 1/4 of a mile so 8 would be 32 times more. Which would be .1 x 32 or $3.20
Step-by-step explanation:
Plz mark brainliest :3
What is the equation of a line with slope −23 and a y-intercept of −4 ?
A. y=−23x−4
B. y=23x+4
C. y=−4x−23
D. y=4x−23
Answer:
its A
Step-by-step explanation:
the y intercept would be -4 and the slope would be -23, put it in y=mx+b form
Final answer:
The equation of a line with a slope of -23 and a y-intercept of -4 is y = -23x - 4, which corresponds to the option A.
Option A is correct.
Explanation:
The equation of a line is typically written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. For a line with slope −23 and a y-intercept of −4, we substitute the given values −23 for m and −4 for b to get the equation y = −23x −4. Therefore, the correct option is A. y=−23x−4.
Need help on both problems.
whats the answer please tell me
Answer:
2 out of 10 or 2/10
Step-by-step explanation:
1 brown shoes + 7 black shoes = 8
that means there were 2 other students wearing neither so out of the 10 students 2 weren't wearing black or brown shoes making 2/10
Answer:2 student not wearing any of the color
Step-by-step explanation:
1 student wearing brown Brown and black 1+7=8
7student wearing black
And 2 students wearing none of the above
So the answer would be 2 kids not wearing black or brown
Hope this helped
what is the initial value of the linear function that represents this situation
Answer:
As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.
Let x represented day and y represents the number of photo
Total number of 24 photo in x days is, 24x
then; as per the given statement our equation becomes;
y = 24x+44 .....[1]
now, to find the total number of photos took by Hannah for 6 days in Rome;
put x = 6 in [1] we get;
y = 24(6) + 44 = 188
Therefore, the total number of photos on Hannah's Camera is, 188 photos.
To, find the initial value for the linear function y =24x +44.
Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.
Substitute x =0 in y =24x +44
y= 24(0) + 44
y = 0 + 44
y = 44
Therefore, the initial value for the equation y =24x+44 is 44 photos.
Answer:its 44 photos!
what is 4.8×10^4 in standard notation
3(x - 5) + 2 (3x + 1) = 45 solve for x
Answer:
6.444.... or 6&4/9
Step-by-step explanation:
3(x-5)+2(3x+1)=45<------distributive property
3x-15+6x+2=45 <------combine like terms
9x-13=45 <------addition property of equality
9x=58 <------division property of equality
x=6.444...
in Mr. whiteners class,7 out 35 students olay middle school basketball .what percent of studwnts in mr. Whitener's class play middle school basketball?
Answer:
7 out of 35 play basketball. Since you are only asking for 7 you take 7 and divide iy by 35. When you divide you get .2 0r 20%.
Your answer is 20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
It would be 20% because 35/7 is 5 and 5 goes into 100% 20 times.
Use the figure below to answer the questions
Please help!!
a. Name two pairs of alternate interior angles.
b. Name four pairs of corresponding angles..
Answer:
Two pairs of alternate interior angles are→1) ∠3 , ∠5 and ∠4 , ∠6
and 2) ∠7 , ∠9 and ∠8 , ∠10
Four pairs of corresponding angles are → 1) ∠1 , ∠5 and ∠2 , ∠6
2) ∠4 , ∠8 and ∠3 , ∠7
3) ∠5 , ∠9 and ∠6 , ∠10
and 4) ∠8 , ∠12 and ∠7 , ∠11
Step-by-step explanation:
When two parallel line cuts by a another line (transversal).Then,
Alternate interior angles → it is the pair of a angles on the inner side of each of those two lines but on opposite sides of the transversal.
hence in the given figure
1)∠3 , ∠5 and ∠4, ∠6 and 2)∠7 , ∠9 and ∠8 , ∠10 are two pairs of alternate interior angles.
Now,
Corresponding angles → the angles are the ones at the same location at each intersection.
Hence in the given figure
1) ∠1 , ∠5 and ∠2 , ∠6 2) ∠4 , ∠8 and ∠3 , ∠7 3) ∠5 , ∠9 and ∠6 , ∠10 and 4) ∠8 , ∠12 and ∠7 , ∠11 are four pairs of corresponding angles.
Please help!
(Ignore the 2 on the second blank)
First blank:
A. Commutative property
B. Multiplication property
C. Division property of equality
D. Subtraction property of equality
Second blank:
A. 2
B. 6.5
C. 19.5
D. 84.5
Answer:
D. Subtraction property of equality
B. 6.5
Step-by-step explanation:
First blank:
The equation is x + 6.5 = 13.
To solve the equation, you want x alone on the left side, showing "x = some number." Since 6.5 is being added to x, you need to SUBTRACT 6.5. You must do the same operation to both sides of an equation, so you need to SUBTRACT 6.5 from both sides of the equation. What allows you to subtract the same number from both sides of an equation is the
D. Subtraction property of equality
Second blank:
Subtract 6.5 from both sides.
x + 6.5 = 13
x + 6.5 - 6.5 = 13 - 6.5
x = 6.5
Answer: B. 6.5
A line of best fit was drawn for 10 data points. What is the maximum number of these data points that may not actually be on the line
Answer: 10
If the line is a perfect fit, then all 10 points are on the same straight line. On the other side of the spectrum, we could have all 10 points not on the line but close enough to it. If the points are too scattered randomly, or they fit a non-linear curve better, then a linear regression line is a bad idea. You can use a correlation coefficient to determine how best the linear fit is.
how to do this
please help me
Answer:
mmmmm Alright its pretty simple the Answers for the first question is
1.) Exact form: 1/30, and Decimal form: 0.03.......... ? Why
Step 1: Well To write 1/3 as a fraction with a common denominator, multiply by 3/3.Step2: Write each expression with a common denominator by 9, by multiplying each by an appropriate factor of 1. Step 3: Combine the numerators over the common the denominator, simplify the numerator. Step 4: Move the negative in front of the fraction, to write 1/2 as a fraction with a common denominator multiply by 2/2. Step 5: Write each expression with a common denominator of 4, by multiplying by both each y an appropriate factor of 1: (This step is just like step 3 above)
Hope this info helps, and have a nice day :)
Step-by-step explanation:
need help asap.pls and thanks
Answer:
your speed is 135 mph
Step-by-step explanation:
three students ordered wings that cost $21 and french fries for 6$. If they split the bill equally how much did each student pay
The total is $21 + $6 or $27.
There are 3 students.
Let p = how much each student will pay
p = $27 ÷ 3 students
p = $9
Each student will pay $9.
The answer is $9 each
Which statement is correct?The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic.
The enthalpy of the reaction is –184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is endothermic.
The enthalpy of the reaction is 184.6 kJ, and the reaction is exothermic.
The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic because in an exothermic reaction, heat is released to the surroundings, leading to a decrease in enthalpy.
Explanation:The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic. Enthalpy is a measure of the total energy of a thermodynamic system. If the enthalpy decreases during a reaction (negative sign), it implies that heat has been released to the surroundings, which is characteristic of an exothermic reaction. On the other hand, an endothermic reaction absorbs heat from the surroundings, leading to an increase in enthalpy (positive sign).
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The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. When enthalpy of a reaction is negative, it means the energy is being released to surroundings, indicating an exothermic reaction.
Explanation:The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. In chemistry, when the enthalpy of a reaction is negative, it indicates that the reaction is exothermic. Exothermic reactions release energy in the form of heat to the surroundings. Thus, if the enthalpy of the reaction is -184.6 kJ, it means the reaction is releasing 184.6 kJ of energy to its surroundings making it an exothermic reaction. In contrast, endothermic reactions absorb heat energy from the surroundings, indicated by a positive enthalpy.
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Enrique collected 7 more than 2 times as many recyclable bottles,b, as Natasha collected.Write an expression for the number of bottles Enrique collected in all
Answer:
an expression for the # of bottles enrique collected in all would be 2b+7
Step-by-step explanation:
uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5
Answer:
An equation for the inverse variation y = 2 when x = 5 is:
y=10/x
Step-by-step explanation:
Suppose that y varies inversely with x:
y=k/x
Write an equation for the inverse variation y = 2 when x = 5
Substituting y by 2 and x by 5 in the formula above:
2=k/5
Solving for k: Multiplying both sides of the equation by 5:
5(2)=5(k/5)
10=k
k=10
Then the equation is:
y=k/x
y=10/x
Can someone help. Please
Answer:
Answer below Please give brainliest!!
Step-by-step explanation:
Sue Black: 8x5=40 hours 40 x $6.75 = $270
Jerry Atrix: 7.25 + 3 + 6.75 + 8 + 5 = 30 hours
30 x $5.15 = $154.50
Sam Ting: 7.75 x 5 = 38.75 hours
38.75 x $8.75 = 339.0625 = $339.06
Plz help with question
Answer:
a. Right triangle b. isosceles triangle c. scalene triangle
Answer:
a. right, scalene
b. isosceles and acute
c. obtuse and scalene
Step-by-step explanation:
A triangle with a 90 degree angle is a right triangle. Since none of the sides are marked as the same length, we can assume they are not equal, and therefore are scalene ( no sides the same length)
A triangle with 2 angles that are equal is an isosceles triangle. In this diagram, none of the angles appear to be larger than 90 degrees. If none of the angles are larger than 90 degrees, than the triangle is acute.
A triangle with with an angle larger than 90 degrees is an obtuse triangle. Since none of the sides are marked as the same length, we can assume they are not equal, and therefor are scalene ( no sides the same length)
equation using the quadratic fromula for 0.05x^2 + 1.1x = 250
Answer:
x=60.56, x=-82.56
Step-by-step explanation:
Solve using quadratic formula
Formula is
[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
0.05x^2 + 1.1x = 250
Subtract 250 on both sides
0.05x^2 + 1.1x - 250=0
a= 0.05, b=1.1 , c=-250
Plug in the values in the formula
[tex]x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}[/tex]
[tex]x=\frac{-1.1+-7.156116265}{0.1}[/tex]
Now make two equations , one with + and one with -
then we solve for x
[tex]x=\frac{-1.1+7.156116265}{0.1}[/tex]
x=60.56
[tex]x=\frac{-1.1-7.156116265}{0.1}[/tex]
x=-82.56
The solutions for (x) are approximately [tex]\(x_1 \approx 47.5\) and \(x_2 \approx -549.5\).[/tex]
To solve the equation \(0.05x^2 + 1.1x = 250\) using the quadratic formula, follow these steps:
1. Identify the coefficients in the equation: \(a = 0.05\), \(b = 1.1\), and \(c = -250\).
2. Apply the quadratic formula: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
3. Substitute the coefficients into the formula and calculate the solutions for \(x\).
The final answer will provide the values of \(x\) obtained from the quadratic formula.
1. Identify the coefficients:
- \(a = 0.05\)
- \(b = 1.1\)
- \(c = -250\)
2. Apply the quadratic formula:
[tex]\[x = \frac{-1.1 \pm \sqrt{(1.1)^2 - 4 \cdot 0.05 \cdot (-250)}}{2 \cdot 0.05}\][/tex]
3. Calculate the solutions for \(x\):
[tex]\[x_1 = \frac{-1.1 + \sqrt{1.21 + 500}}{0.1} \approx 47.5\][/tex]
[tex]\[x_2 = \frac{-1.1 - \sqrt{1.21 + 500}}{0.1} \approx -549.5\][/tex]