Answer:
Explained below.
Step-by-step explanation:
The system of two equations is:
[tex]5x+2y=7...(i)\\\\3x-y=2...(ii)[/tex]
Step A:
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.
[tex]5x+2y=7\\\\6x-2y=4[/tex]
Step B:
The multiplication is performed to simplify the elimination process.
Step C:
The variable that will be eliminated when the equations are combined after the multiplication is y.
Step D:
Next, add the equations together. Your answer should be a single equation with one variable.
[tex]5x+2y=7\\ +\\6x-2y=4\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\11x=11[/tex]
Step E:
We can add the equation because both the equation are in the same format, i.e. ax + by = c.
Step F:
Solve the equation for x.
11x = 11
x = 1
Step G:
Substitute x back into one of the equations to solve for y.
[tex]5x+2y=7\\\\(5\times 1)+2y=7\\\\5+2y=7\\\\2y=7-5\\\\2y=2\\\\y=1[/tex]
Step H:
The solution to the system of equations is: (x, y) = (1, 1).
using the arithmetic sequence 12,15,18,21.....What is the 12th term of the sequence
Answer: 45
Step-by-step explanation:
f(n) = f(1)+CD(n-1)
f(n) = 12+3(n-1)
f(n) = 12 +3n -3
f(n) = 3n+9
plug in 12 for n
f(12) = 3(12)+9
= 36 +9
=45
Answer: 45
Step-by-step explanation: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45
Select all radical expressions that are equivalent to 347. (3√4)7 (3√7)4 21−−√4 37−−√4 81−−√7 12−−√7
Answer: (3√7)4 and 81−−√7
Step-by-step explanation:
What is the distance between $(12, 4)$ and $(5, 28)$?
Answer
8
Step-by-step explanation:
16
Using the distance formular, the distance between the coordinate points given is 25
Recall the relation :
Distance = √[(y2 - y1)² + (x2 - x1)²]Distance = √[(28 - 4)² + (5 - 12)²]
Distance = √[(24)² + (-7)²]
Distance = √(576 + 49)
Distance = √625
Distance = 25
Hence, the distance between the points is 25
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What is the kinetic energy of a bicycle that has a mass of 20 kg and is traveling at a velocity of 10 m/sec? KE= .5 x M x V^2
The kinetic energy of the bicycle is 100 N
What is kinetic energy?Kinetic energy is the energy in motion and it is energy doing work. It can be expressed by using the formula:
[tex]\mathbf{K.E = \dfrac{1}{2}\times m \times v^2}[/tex]
where;
m = mass of the object v = velocity of the object[tex]\mathbf{K.E =0.5 \times 20 \ kg \times 10 \ m/s^2}[/tex]
K.E = 100 N
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can someone help me round 621x29
Your rounded number is 18010
The reason for this is because when you multiply 621X29, you get 18009. When you round numbers, you want to see how the numbers are. If a number is 4 or below, you will make that number a zero or not count it, whereas numbers above 5 will go up. I hope this helps and if you have any questions, let me know
Answer:
18010
Step-by-step explanation: You see, 621x29=18009 and rounded is 18,010
A busy traffic intersection in a city was experiencing an average of 20 accidents per week. The council decided to try to reduce the number of accidents by placing a stop sign at the intersection. In this situation, what is:
a. the null hypothesis
b. the alternative hypothesis
Answer:
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
Step-by-step explanation:
We are told that the telraffic was experiencing an average of 20 accidents per week.
Thus, μ = 20
We are told that the council decided to try to reduce the number of accidents.
Thus defining the hypothesis, we have;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
Write two decimals that have the sum of 16.825
Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.
The distance between the points have been calculated.
What is the Distance Formula?The distance formula is used to calculate distance between two points on a coordinate system.
The formula is
[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
AB² = (2-0)²+(4-4)²
AB = 2
FG² = (6-7)²+(1-1)²
FG =1
BC² = (2-2)²+(3-4)²=1
BC = 1
GH² = (6-6)²+(1.5-1)²=0.5
GH = 0.5
DI² = (5-4)²+(2-2)²
DI = 1
HI² = (5-6)²+(2-1.5)² = 1.25
HI = 1.12
DE² = (4-4)²+(0-2)²
DE = 2
IJ² = (5-5)²+(3-2)²
IJ = 1
EA² = (0-4)²+(4-0)²
EA = 5.66
JK² = (7-5)²+(1-3)²
JK = 2.83
The missing data of the question is
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
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The ratio of the number of silver watches to the number of gold watches in a shop 2:3. Which of the following best describes the number of silver and gold watches in the shop?
Answer:
For every 2 silver watches, there are 3 gold watches :)
Step-by-step explanation:
For every 2 silver watches, there are 3 gold watches :)
HELP ME PLEASEEEEEEEEEEEEEEEE
Leon visited Chicago, which is located on the shore of
Lake Michigan. The lake has a volume of about 4,920
_. Chicago was a major gateway to the west in
1825 when the Erie Canal was completed. When built,
the Erie Canal was 680 long and only 100_, or
10 deep. While in Chicago, Leon visited the Sear
Tower. One of the tallest buildings in the world, the
Sears Tower is 443 tall
during Leon's visit was about 7
Answer:
Step-by-step explanation:
Leon visited Chicago, which is located on the shore of
Lake Michigan. The lake has a volume of about 4,920
km cubed. Chicago was a major gateway to the west in
1825 when the Erie Canal was completed. When built,
the Erie Canal was 680 long and only 100 or
10 deep. While in Chicago, Leon visited the Sear
Tower. One of the tallest buildings in the world, the
Sears Tower is 443 tall
during Leon's visit was about 7
What is the LCM of 81 and 84
Answer:
2268
Step-by-step explanation:
why does 4^3 equal 64 and not 12
Answer:
because 4.4.4.4
Step-by-step explanation:
Tyler’s brother works in a shoe store. Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?
Answer: 12.6
Step-by-step explanation: calculator ._.
(I'LL GIVE BRAINLIEST TO WHO EVER HELPS ME!!)
Estimate and then solve 6,699 ÷ 72 = ___.
A) 92 r 4
B) 93 r 3
C) 94 r 3
Answer:
C) 93 r 3
Your Welcome! ^O^
0 0 9 3
7 2 6 6 9 9
− 0
6 6
− 0
6 6 9
− 6 4 8
2 1 9
− 2 1 6
3
Answer:
thats wrong the correct answer is 94 r 3
Step-by-step explanation:
Determine whether the system has no, one, or infinitely many solutions.
y = -6
4x + y = 2
Answer:
It should have one answer
Step-by-step explanation:
y = -6
4x + -6 = 2
4x = 8
2
When you [_______________] measurements, the answer should only have the same number of significant figures as the measurement with the fewest significant figures
Answer:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures. Procedure to determine significant figures after multiplication or division: 1.
Step-by-step explanation:
The required solution is multiplication or division.
It is required to find the fill in blanks.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures.
Therefore, the required solution is multiplication or division.
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4 4/5 divided by 2 1/5
Answer:
2 2/11
Step-by-step explanation:
Jerry started doing sit ups every day. The first day he did 15 sit ups. Every day after he did 4 more sit ups than he had done the previous day. Today jerry did 65 sit ups. Write an equation that could be solved to find the number of days jerry has been doing sit ups, not counting the first day.
Answer:
y=4x+15
Step-by-step explanation:
y-total
x-days
Construct the exponential function that contains the points (0,3) and (2,75).
Answer: 3(5)^x
Step-by-step explanation:
that was the correct answer
The required exponential function is given as y = 3[5]ˣ.
The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
Let
y = abˣ
Substitute the pairs and form two equations,
3 = a - - - - - - - (1)
75 = ab² - - - - - (2)
Dividing equation 2 by 1
25 = b²
b = 5
Now,
y = 3{5}ˣ
Thus, the required exponential function is given as y = 3[5]ˣ.
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A card is drawn from a deck of 52 cards. What is the probability that it is a 6 or club a ?
Answer: 0.3077
Explanation: In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.
In all we get: 13+4−1/52=16/52=4/13≈0.3077
Hope this helps... Stay safe and have a great day/night!!!
write an equation of a line that passes through (-6,4) and is PERPENDICULAR to y=3x-11
Answer:
y = -1/3x + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Perpendicular lines have the negative reciprocal slope of the original.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3x - 11
Point (-6, 4)
Step 2: Find slope m
Negative Reciprocal of 3 = -1/3
Step 3: Define
y = -1/3x + b
Step 4: Find y-intercept b
Substitute in point: 4 = -1/3(-6) + bMultiply: 4 = 2 + bSubtract 2 on both sides: 2 = bRewrite: b = 2Step 5: Write perpendicular linear equation
y = -1/3x + 2
What is the easiest way to find the square root of a number?
Answer:
use a calculator
Step-by-step explanation:
best trick
Olivia needs 54 licks for every 3 lollipops she eats.
18 is your answer
54 divided by 3 = eighteen
Answer:
If the question is how many licks does she need for each lollipop, the answer will be 18 licks
Step-by-step explanation:
54/3=18licks
Hope this helps pls give brainliest!
Please tell me this answer
Answer: 162
60466176/373248
Step-by-step explanation: 12^4*9^3*4= 60466176 and 6^3*8^2*27= 373248. If you divide these together you get 128.
the mean of the following numbers is 15. 14,10,18,,21,15,14
Answer:
= 15.285714285714
Step-by-step explanation:
A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer
than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answer:
Step-by-step explanation:
d + 2d - 8 = 46
3d - 8 = 46
3d = 54
d = 18
write an equivalent multiplication expression for 1/3 divided by 3
Answer:
1/3 times 1/3
Step-by-step explanation:
the answer is 1/3 * 1/3 because when you divide with fraction you make the 3 or 3/1 turned around which is 1/3, then you multiply 1/3 * 1/3
please help me asap impor
Find the value of x when x² is equal to 121. * 4 points