As per linear equation, except for the option(4), all system of equations have same solution.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".
Given system equations:
4x + 3y = 10 (equation 1)
-6x - 5y = -16
⇒ (6x + 5y) = 16 (equation 2)
Option. 1: - 12x - 9y = - 30
⇒ - 3(4x + 3y) = - 3
⇒ (4x + 3y) = 10 (equation 3)
Again, 12x + 10y = 32
⇒ 2(6x + 5y) = 16
⇒ (6x + 5y) = 16 (equation 4)
Option. 2: 20x + 15y = 50
⇒ 5(4x + 3y) = 50
⇒ (4x + 3y) = 10 (equation 5)
Again, -18x -15y = -48
⇒ - 3(6x + 5y) = - 48
⇒ (6x + 5y) = 16 (equation 6)
Option. 3: 24x + 18y = 60
⇒ 6(4x + 3y) = 60
⇒ (4x + 3y) = 10 (equation 7)
-24x - 20y = -64
⇒ - 4(6x + 5y) = - 64
⇒ (6x + 5y) = 16 (equation 8)
Option. 4: 40x + 30y = 100
⇒ 10(4x + 3y) = 100
⇒ (4x + 3y) = 10 (equation 9)
Again, 36x + 30y = -96
⇒ 6(6x + 5y) = -96
⇒ (6x + 5y) = -16 (equation 10)
Therefore, except for the option(4), all system of equations have same solution.
Learn more about a linear equation here: https://brainly.com/question/13997560
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I am greater the number of ounces in a pound
I am less than the number of hours in 2days
the difference of my digit is 5
I am an odd number
please answer! will give brainliest!!!
Answer:
The answer is the last one
twice the sum of 15 and x as an algebraic expression
Answer:
2 (15x)
Step-by-step explanation:
I didn't completely get your answer but if you want it in numerical from its here. 2 x (15x.)
Answer:
skjzjzjajzjs hajsjsjajjsjsa annsnsnsnnsnsns snsnnsjsjnee ejjejen
Find the value of x.
(3x +20)
(5x - 16)
0.5
74
18
2
Answer:
i think the answer is 0.5
Step-by-step explanation:
I NEED HEELP ASAP!!!! PLZ, IM TAKING MY STAAR ALGEBRA TEST. I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
-2/3
Step-by-step explanation:
Slope is calculated by the rise over run. The rise is 2 and run is 3, the line is also decreasing making is a negative slope.
a car costs 25,750.00 and depreciates in value 20%per year. how mch will the car be worth in 5 years
Answer:
In 5 year it will be worth 2575000
Need help ASAP!!
Solve for u WITHOUT trigonometry! Just type the answer or it will be wrong
Which expression is NOT equivalent to −6×(13+13)? −63+13 −6×23 −6×(2×13) (13+13)×(−6)
Answer:
I know that -63+13= -50
(-6) * 23 = (-138) are NOT equivalent, the only expressions that are equivalent are (13+13)x(-6) and -6x(2x13) they both equal to -156 which is to say -6x(13+13) Are the same
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 126°. Find
the value of x.
126
Answer:
Angle x = 180 - 126
Angle x = 54
Step-by-step explanation:
INTERPRET THE VALUE OF EACH PLACE VALVE POSITION AS IO TIMES
THE POSITION TO THE RIGHT AND AS ONE TENTH OF THE VALUE OF
THE PLACE TO ITS LEFT
Answer:
Place value | Numbers big and small | Siyavulaintl.siyavula.com › read › maths › jss1 › 01-numbers-bi...
The number 12 means we have 1 group of ten stars and 2 stars left over. ... Put each digit of the number into the correct position in the table. ten ... These place values are represented from biggest to smallest, moving to the right after the decimal ... As for whole numbers, we move to a new place value each time we reach 10.
Missing: VALVE IO
Step-by-step explanation:
what is the rule of the table? provide explanation plz
Answer:
3.
x=3...…....…1
y=9
y=3×3
y=x² is a required equation or rule.
x=11. y=121
x=2. y=4 for remaining
Select all the correct answers. Annie transforms the graph of y = 2x into the graph of y= 2x - 4. Which statements correctly describe this transformation?
Answer- Plato; It is the graph of y=2x translated 4 units downward. & It is the graph of y=2x translated 2 units to the right.
Answer:
It is the graph of y=2x translated 4 units downward
Step-by-step explanation:
Given
[tex]y = 2x[/tex] to [tex]y' = 2x - 4[/tex]
Required
We have:
[tex]y = 2x[/tex]
Subtract 4 from both sides [In other words, shift downward by 4 units]
[tex]y - 4 = 2x - 4[/tex]
This implies that:
[tex]y' = y -4[/tex]
Substitute [tex]y = 2x[/tex]
[tex]y' = 2x -4[/tex]
Answer:
It is the graph of y = 2x translated 4 units downward.
It is the graph of y = 2x translated 2 units to the right.
Step-by-step explanation:
Recall that f(x) − k is a vertical translation that translates f(x) down k units. And, a vertical translation also translates a function horizontally, and vice versa. So, y = 2x − 4 translates the function y = 2x down 4 units. But 2x − 4 is also equal to 2(x − 2), so y = 2x − 4 also describes a translation to the right by 2 units.
What is the answer
42sq in
48sq in
24sq in
21sq in
Answer:
42in :)
Step-by-step explanation:
All you have to do is multiply 7x6 because u need to find the area.
but if u wanna find the perimeter u have to add all sides.
area is multiply 2 sides.
please help me im so confused
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answer:
both a and b are correct
Answer:
C. Neither type offers benefits unless you suffer a loss.
DUE tomorrow please help
The diameter of a circle is 20 in. Find its circumference in terms of \piπ.
Answer:
Step-by-step explanation:
[tex]C=2\pi r$ since d=2r$ \\ \\ C=\pi d,\ d=20\\ \\ C=20\pi in[/tex]
Express this as a difference: 7+3 PLEASE HELP
Answer:
Step-by-step explanation:
a scatter plot with a line is shown.
(pic)
which statement is most likely correct about the line?
1) it can be the line of best fit because it is closest to most data points
2) it can be the line of best fit because it passes through all the scatter points
3) it cannot be the line of best fit because it is not closest to most of the points
4) it can be the line of best fit because it does not show positive association
Answer:
Choice 3
Step-by-step explanation:
A line of best fit always goes through the pattern of points.
Is 10 the solution of the equation 4x - 8 = 31?
Given the equations of the lines 2x – y = 4 and 3x + 2y = -1. Do these lines intersect? If
they do, find the point of intersection.
Answer:
here you go i hope it helped
If a=35, find the value of X.
Answer:
cCompute the value of x if angle a=35 ° angle b=45° angle c=50°. 2. See answers. Log in to add comment. Answer. 2.3/5. 2. 123jiya73. Helping ...
classify each number as a rational or in rational by moving it to the correct category
please tell me which ones are rational and irrational
Answer:
1. rational
2. rational
3. rational
4. not rational
5. not rational
Step-by-step explanation:
................. plz let only deltaalex answer:) don’t trust anyone on here but them!
Answer:
Step-by-step explanation:
oh law of sines soo sin(A) / a = Sin(B) / b
2a)
here DE = side f then let's find that side with law of sines and plug side f in as 'a' in law of sines , so
Sin(28) / a = Sin(54) / 31 ( where a = f = DE )
can you do the algebra here Emily? or do you want me to show that?
Sin(28) *31 / Sin(54) = a
17.989 =a
18.0 =a (rounded to nearest 10th)
DE = 18.0 m
2b)
find RT where RT = side a
since they give use 2 of the other sides of the triangle we can quickly figure out the S angle. 180 = 71+62+S so S = 47° ( I'm going kinda fast b/c I don't know how much time you have :? )
then Sin(A) /a = Sin(B) / b
Sin(47) / a = Sin(62) / 29
Sin(47) *29 / Sin(62) = a
24.020 = a
RT = 24.0 meters ( rounded to nearest 10th )
2c)
they want us to find ∠X with law of sines soo
I'll just use the letter they give us for variables
Sin(X) / x = Sin(Y ) / y
Sin(X) = x* Sin(y) / y
X = arcSin [ 14 * Sin(108) / 34 ]
X = arcSin [ 0.3916115]
X = 23.0548°
X= 23° ( rounded to nearest degree )
2d)
they ask us to find ∠E
I'll , again, use the letter they give us for variables
Sin(E) / e = Sin( F ) / f
Sin(E) / 18 = Sin(78) / 30
E = arcSin[ 18 * Sin(78) / 30 ]
E = arcSin [ 0.5868856 ]
E = 35.936 °
E = 36 ° ( rounded to nearest degree )
:)
Assume that 5 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.
(1) What is the probability that both the husband and wife are hired?
(2) What is the probability that one is hired and one is not?
Answer:
a) 0.2 = 20% probability that both the husband and wife are hired
b) 0.4 = 40% probability that one is hired and one is not
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the people are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(1) What is the probability that both the husband and wife are hired?
Desired outcomes:
Both selected, only one possible outcome, so [tex]D = 1[/tex]
Total outcomes:
4 from a set of 5. So
[tex]T = C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{5} = 0.2[/tex]
0.2 = 20% probability that both the husband and wife are hired
(2) What is the probability that one is hired and one is not?
Desired outcomes:
One selected, one not, so two possible outcomes(Wife yes, husband not, or husband yes and wife not). So [tex]D = 2[/tex]
Total outcomes:
4 from a set of 5. So
[tex]T = C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{2}{5} = 0.4[/tex]
0.4 = 40% probability that one is hired and one is not
Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so she does not overlap any of the edges.
How much paper did it take to cover the gift?
Answer:
1014 cm²
Step-by-step explanation:
We are to find the surface area of the cube
The formula for the surface area of a cube is given as
A = 6a²
Where a = side length
From the above diagram, side length = 13cm
The surface area = 6 × 13²
= 1014 cm²
Therefore, it would take 1014 cm² of paper to cover the gift
Which is better buy: 4 for $2.00 or 6 for $2.50
Answer:
6 for 2.50
Step-by-step explanation:
What is the range of the function y = -x2 + 1?
Y<-1
Y>-1
Y<1
Y>1
Answer:
Y<1 I belive
Step-by-step explanation:
Im not 100% sure, is the equation supposed to be y=-[tex]x^{2}[/tex]+1?
0.5c-1.7d=
c=15 d=3 dhshsjssj
Answer:
2.4
Step-by-step explanation:
Help me plis
Answer
A: 23
B: 83
C: 183
D: 90
Answer:
Option B
83°
Step-by-step explanation:
Since,
To prove it as a kite then according it,
Ac should be a perpendicular bisector of BD
Hence,
<APB = 90°
Also given,
<APB = (x + 7)°
Therefore, by the problem,
=> x + 7 = 90
=> x = 90 - 7
=> x = 83°(Ans)