Answer:
We have to multiply 4 with 3 to make it equal to 12.
Step-by-step explanation:
Given the two equations:
[tex]6x - 5y = 21\\ 4x + 7y = 15[/tex]
In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.
Here, we have to eliminate [tex]x[/tex].
The coefficients are 6 and 4.
The least common multiple of 6 and 4 is 12.
So, we multiply 6 by 2 to make it equal to 12.
and we have to multiply 4 with 3 to make it equal to 12.
And then the two equation have to be subtracted from each other.
Answeer
what the other person said was right
Step-by-step explanation:
Important phases of Newton's education and scientific work occurred in isolation. Why might this have been helpful to him? On the other hand, why is working in isolation problematic for developing scientific ideas?
Answer:
Step-by-step explanation:
This might have been helpful to Newton as it allowed him to focus more clearly on his ideas. Newton was incredibly talented and ahead of his time in his field, which being in isolation helped him focus and develop on his ideas. This is not the case for the majority, most scientists tend to focus on a single aspect of a problem, usually the aspect that they have the most experience in. This can lead to them being blinded and not being able to see the possible solution. That is why working with others that are able to view the problem from a different perspective can help greatly.
Working in isolation might have helped Newton focus clearly on his ideas.
Working in isolation might be problematic in developing scientific ideas because of the tendency of having a narrow perspective about a problem and not being able to find possible solution.
What is Working in Isolation?Working in isolation means to work remotely or alone without the input or help from other people.
Working in isolation might have been helpful to Newton, who was quite talented, as it may have enabled him focus clearly on his ideas.
Why Might Working in Isolation Problematic?1. Tendency of having a narrow perspective about a problem.
2. Probability of not being able to find possible solution.
In summary, working in isolation might have helped Newton focus clearly on his ideas.
Working in isolation might be problematic in developing scientific ideas because of the tendency of having a narrow perspective about a problem and not being able to find possible solution.
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1/3(6x-5)-x = 1/3-2(x+1)
Value of X
Answer:
x=0
Step-by-step explanation:
do you need work? I did it in my head
Answer:
x=5/24
Step-by-step explanation:
2x-\frac{5}{2}=-2x-\frac{5}{3} Then add 5/2 to both sides 2x-\frac{5}{2}+\frac{5}{2}=-2x-\frac{5}{3}+\frac{5}{2} simplify 2x=-2x+\frac{5}{6} add 2x to both sides 2x+2x=-2x+\frac{5}{6}+2x simplify 4x=\frac{5}{6} divide both sides by 4 \frac{4x}{4}=\frac{\frac{5}{6}}{4} simplify then u get x=5/24
HELP PLS
What is the slope of the line that passes through (1, 4) and (-3, -3)?
Answer:
y=7/4x+9/4
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(1,4) and (-3,-3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called [tex]x_1[/tex] and [tex]y_1[/tex]. Or,
Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called [tex]x_2[/tex] and [tex]y_2[/tex]. Or,
Now, just plug the numbers into the formula for m above, like this:
m=
[tex]\frac{-3-4}{-3-1}[/tex]
m= 7/4
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=7/4x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(1,4). When x of the line is 1, y of the line must be 4.
(-3,-3). When x of the line is -3, y of the line must be -3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.
(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(1,4) and (-3,-3)
is
y=7/4x+9/4
Sophie and Isadora ride around a circular track that has an inner radius of 30 m. The track is 2 m wide and Isadora rides along the outer lane. How much further does Isadora ride than Sophie, In one lap? Is any one else as confused as I am?
Calculate the variance of the following set of data.
3, 33, 303, 233, 3, 73, 83, 63
Answer:
its 12084
Step-by-step explanation:
on my test
Variance is the measurement of the spread between numbers in a given set of data.
The variance for the set is 12083.929
What is a variance?It is the measurement of the spread between numbers in a given set of data.
We have,
3, 33, 303, 233, 3, 73, 83, 63
The formula to find variance:
Find the means of the set of data.
Find the deviation of the set of data from the mean.
Find the sum of the squares of the mean deviations.
Divide the sum of the squares of the mean deviations by (n-1)
where n is the number of data in the set.
The mean:
= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8
= 794/8
= 99.25
Deviation from the mean:
3 - 99.25 = -96.25
33 - 99.25 = -66.25
303 - 99.25 = 203.75
3 - 99.24 = -96.25
73 - 99.25 = -26.25
83 - 99.25 = -16.25
63 - 99.25 = -36.25
The sum of the squares of Mean deviation:
= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314
= 84587.5
The variance:
= 84587.5 ÷ (8 - 1)
= 84587.5 / 7
= 12083.929
Thus,
The variance for the set is 12083.929
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Multiply: (5.8 x 10^-6) x (2 x 10^4).
Answer:
[tex]1.16*10^{-1}[/tex]
Step-by-step explanation:
[tex](5.8*10^{-6}) *(2*10^{4})\\=11.6*10^{-2}\\=1.16*10^{-1}[/tex]
Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?
Answer:
If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
Step-by-step explanation:
You can use the formula to calculate the future value to find the money in the account after 4 years:
FV=PV*(1+i)^n
FV= future value
PV= present value=$1,200
i= interest rate=4.25%=0.0425
n=number of periods of time=4
FV=1,200*(1+0.0425)^4
FV=1,200*(1.0425)^4
FV=1,417.37
According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?
An expression is ____
Answer:
$8.00 Even
Step-by-step explanation:
Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
proper fraction
Step-by-step explanation:
Can someone please help me sort them out into True, Not True and Cannot Be Determined
Answer:
the first, second, and fifth
Step-by-step explanation:
hope this helps :-)
5 bananas cost 2.95 how much would 27 bananas cost
Answer:
78 dollars and 3 cents
Step-by-step explanation: use a calculator
Answer:
15.93
Step-by-step explanation:
each banana costs 0.59 so you multiply 27 times 0.59 = 15.93
What’s the answer to the question
Answer:
Slope = -2, y-intercept = 12 (b)
Step-by-step explanation:
Using the slope formula:
slope = change in y (y2-y1) / change in x (x2-x1)
slope = (12-18)/(0+3)
slope = -6/3
slope = -2
The slope is -2
If you look in the table, when x=0, the y value equals 12. This means that the y-intercept = 12, since the y-intercept is when the x equals 0. Thus we have our answer.
A gas station had two pumps. Pump A dispensed 241,752 gallons. Pump B dispensed 113,916 more gallons than Pump A. About how many gallons did both pumps dispense?
Answer:
Total gallons= 597,420
Step-by-step explanation:
Giving the following information:
Pump A dispensed 241,752 gallons.
Pump B dispensed 113,916 more gallons than Pump A.
First, we will calculate the number of gallons dispensed by Pump B:
Pump B= Pumb A + 113,916
Pump B= 241,752 + 113,916
Pump B= 355,668 gallons
Now, in total:
Total gallons= 241,752 + 355,668
Total gallons= 597,420
Caleb and his sister are combining their trading cards. He has 29 cards, and she has 16 cards. They then trade an equal number of cards to 9 friends. How many cards does each friend get?
Answer:
The answer is 5 cards.
Step-by-step explanation:
Yu have to add 29 and 16 . When yu do that yu get 45 cards total. Divide 45 by 9 (friends) yu get 5 cards per person.
A certain shade of paint is made by mixing 8 parts blue paint with 3 parts
white
paint. To get the correct shade, how many quarts of white paint should be mixed
with 64 quarts of blue paint?
Answer:
15 quarts
Step-by-step explanation:
La factura de celular del mes pasado ascendió a un total de $239 por un consumo de 269 minutos de llamada, mientras que la de este mes ascendió a $175 por un consumo de 141 minutos. El importe es la suma de una tasa fija (renta de línea) más un precio fijo por minuto. Calcular la tasa y el precio por minuto
Answer:
Costo fijo= $104.5
Costo unitario= $0.5 por minuto
Step-by-step explanation:
Mes pasado:
$239 por 269 minutos
Mes corriente:
$175 por 141 minutos
Primero debemos calcular el cost por minuto de llamada:
Costo unitario= (costo total más alto - costo total más bajo) / (cantidad de minutos más alto - cantidad de minutos más bajo)
Costo unitario= (239 - 175) / (269 - 141)
Costo unitario= $0.5 por minuto
Ahora, el costo fijo:
Costo fijo= costo total más alto - (costo unitario*cantidad de minutos más alto)
Costo fijo= 239 - (0.5*269)
Costo fijo= $104.5
Costo fijo= costo total más bajo - (costo unitario*cantidad de minutos más bajo)
Costo fijo= 175 - (0.5*141)
Costo fijo= $104.5
Factoriza la siguiente expresión 25
x2−4
Answer:
english pls
Step-by-step explanation:
Select all the expressions that can be used to find the price of a $400 telescope after a 32% markup. A)400 • 0.32 B) 400 • 3.2 C)400 • 1.32 D)400 + 400(0.32) E)400 • 400(1.32)
Answer:
(D) 400 + 400(0.32)
Step-by-step explanation:
We need to find the price of a $400 telescope after a 32% markup.
32% markup means increase in the cost of telescope by 32%. It can be calculated as follows :
[tex]P=400+32\% \ of\ 400\\\\=400+\dfrac{32}{100}\times 400\\\\=400+0.32(400)[/tex]
Hence, the correct expression is option (d).
Answer:
(D) 400 + 400(0.32)
Step-by-step explanation:
We need to find the price of a $400 telescope after a 32% markup.
32% markup means increase in the cost of telescope by 32%. It can be calculated as follows :
Step-by-step explanation:
O Horizontal translation of 11 units
O Reflection across y-axis
O Horizontal translation of 4 units
O Reflection across x-axis
Answer:
The answer is B
Step-by-step explanation:
I got B because it just looks like its flipped over the y axis. Its also even. Im sorry if you didnt get that but im not the best explainer at these types of problems lol. But its actually b trust me
pls mark brainliest because i didnt waste your time lol
Who plays Fortnite lookin for a sweaty teammate and plz what’s 638+43+53-363+43-35+737-363 times 647+647 I don’t have a calculator
Answer:
its -3959202 BTW this answer is :(
Step-by-step explanation:
6443
Ada needs to make 140 egg tarts for the wedding. How many eggs should she buy from the store? Remember, her recipe makes 40 egg tarts by using 110 eggs.
Answer:
Ada should buy 385 eggs from the store.
Step-by-step explanation:
Given that you know that Ada can make 40 egg tarts using 110 eggs, you can use a rule of three to find the amount eggs to make 140 egg tarts:
40 egg tarts → 110 eggs
140 egg tarts → x
x=(140*110)/40=385 eggs
According to this, the answer is that Ada should buy 385 eggs from the store.
If three quarters of the pizza provided 12 pieces to the table how many pieces were in the pizza when it was full
Answer:
9
Step-by-step explanation:
Answer:
16 slices of pizza
Step-by-step explanation:
divide 12 by 3
that would give you 4
now add 4 to 12
viola you have the answer of 16
What is the value of the 5 in the number 2.005?
0.05
0.5
0.005
5
Answer:
0.005
Step-by-step explanation:
Answer:
.005
Step-by-step explanation:
I don’t understand.
Answer:
y = -2/3x
Step-by-step explanation:
A perpendicular line is the negative reverse of the slope of the other line. I'm not sure about the options you have there but hopefully this helps you get your answer.
1) Nyla had 10 songs in a playlist on her phone. The playlist had two of her favorite artists, Beyonce
and Jennifer Lopez. How many of the songs from each artist could she have?
a) Create an equation to represent this situation. Explain what each of the variables represent.
Equation:
b) List at least five solutions to the equation above. How do you know that these are the
solutions to the equation you created?
Answer:
a) 10 = X + Y
b) X = 1, Y = 9
X = 2, Y = 8
X = 3, Y = 7
X = 4, Y = 6
X = 5, Y = 5
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
Step-by-step explanation:
The given parameters are;
The number of songs in the playlist on her phone = 10
The number of authors of the songs on her playlist = 2
The equation that represent the situation is given as follows;
X + Y = 10
Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist
b) 5 possible solutions are;
X = 1, Y = 9
X + Y = 1 + 9 = 10
Which gives 1 Beyonce's and 9 Jennifer Lopez's songs
X = 2, Y = 8
X + Y = 2 + 8 = 10
Which gives 2 Beyonce's and 8 Jennifer Lopez's songs
X = 3, Y = 7
X + Y = 3 + 7 = 10
Which gives 3 Beyonce's and 7 Jennifer Lopez's songs
X = 4, Y = 6
X + Y = 4 + 6 = 10
Which gives 4 Beyonce's and 6 Jennifer Lopez's songs
X = 5, Y = 5
X + Y = 5 + 5 = 10
Which gives 5 Beyonce's and 5 Jennifer Lopez's songs
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Given:
The expression is 3.8 - 2.923.
To find:
The subtraction.
Solution:
We have,
[tex]3.8-2.923[/tex]
It can be written as
[tex]3.800-2.923[/tex]
Now,
3 . 8 0 0
-2 . 9 2 3
-----------------
0 . 8 8 7
-----------------
So, [tex]3.800-2.923=0.887[/tex]
Therefore, the value of [tex]3.800-2.923[/tex] is 0.887.
[tex]3x^{2} +9x^{2}-9x+9[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]3 {x}^{2} + 9 {x}^{2} - 9x + 9 = [/tex]
[tex](3 + 9) {x}^{2} - 9x + 9 = [/tex]
[tex]12 {x}^{2} - 9x + 9 = [/tex]
[tex]3(4 {x}^{2} - 3x + 3) [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.
Answer:
Jeremy is correct
Step-by-step explanation:
Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.
Marcus is wrong
This is because, Marcus calculated:
-5^2 + 3
= -25 + 3
= -22
This is wrong because it did not follow the rules which states that:
- × - = +
Jeremy calculation is shown below:
-5^2 + 3
-5 × -5 + 3
= 25 + 3
= 28
Jeremy is correct
Which is a perfect square
72
81
90
99
Answer:
90
Step-by-step explanation:
90 degree angle is a perfect square
Answer:
B) 81
Step-by-step explanation:
If m∠FBE=(4x+2)° and m∠EBD=(5x−13)°, then m∠FBA=
The Measure of <FBA is 62 degree.
What is Linear Pair?When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. The total of angles of a linear pair is always equal to 180°.
Given:
m∠FBE=(4x+2)° and m∠EBD=(5x−13)°
as, FB bisects <EBA
So, <EBF = <FBA
and, EB bisects <FBD
So, <FBE= <EBD
4x+ 2 = 5x -13
x= 15
So, <EBF = <FBA = 4x+ 2 = 4(15)+ 2 = 62
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