Answers
The solution to the system of equations 2x + 3y = 10 and 3x - 4y = -2 is x = 2 and y = 2.
Given the system of equations in the question:
2x + 3y = 10
3x - 4y = -2
To determine the solution to the system of equations, we can use the elimination method:
2x + 3y = 10
3x - 4y = -2
Multiply the first equation by 4 and the second equation by 3:
We have:
8x + 12y = 40
9x - 12y = -6
Now, we add the two equations.
We have:
17x + 0 = 34
x = 34/17
x = 2
Now, plug x = 2 into the first equation and solve for y:
2x + 3y = 10
2(2) + 3y = 10
4 + 3y = 10
3y = 10 - 4
3y = 6
y = 6/3
y = 2
Therefore, the value of x is 2 and the value of y is 2.
Related Questions
HEELLLPPP ME?!?!?!? ANYONE?
Solve the system of equations and choose the correct ordered pair.
3x + 2y = 12
6x + 3y = 21
A. (4, 3)
B. (4, 0)
C. (2, 3)
D. (3, 2)
Answers
The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police officers in 2006, how many police officers must there be in 2016 to have a greater percent increase than that of private investigators?
Answers
p = ( 61,000 * 100 ) : 52,000 = 117.30769 %
The percent of increase of the number of private investigators is 17.30769 %.
The number of police officers in 2006 is 648,982
648,982 x 1.1730769 = 761,305.79
Answer:
In 2016 must be at least 761,306 police officers
To have a greater percent increase than private investigators between 2006 to 2016, there must be approximately 760,945 police officers in 2016. This is found by applying the formula for percentage increase and adjusting it to find the required final number.
Explanation:The percent increase of private investigators from 2006 to 2016 is found by subtracting the initial number from the final number, then dividing by the initial number and multiplying by 100%. This formula gives us (61000 - 52000) / 52000 * 100 = 17.3%, rounded to the nearest tenth of a percent.
To have a greater increase in police officers than that of private investigators, the percent increase must be more than 17.3%. To find the required number of police officers in 2016, we first express 17.3% as a decimal, which is 0.173. Then we use the formula for percentage increase, which is (final number - initial number) / initial number = percentage increase. By rearranging the formula, we get the required final number = (initial number * percentage increase) + initial number. Substituting the given figures, we have (648982 * 0.173) + 648982 = 760945, rounded to the nearest whole number.
Therefore, there must be approximately 760,945 police officers in 2016 to have a greater percent increase than that of the private investigators.
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what is 0.6(r 0.2)=1.8
Answers
r=15
the solution to the equation [tex]\(0.6(r - 0.2) = 1.8\) is \(r \approx 3.2\).[/tex]
To solve the equation 0.6(r - 0.2) = 1.8, we first distribute the 0.6 to the terms inside the parentheses:
0.6r - 0.6(0.2) = 1.8
0.6r - 0.12 = 1.8
Next, we add 0.12 to both sides of the equation to isolate 0.6r:
0.6r - 0.12 + 0.12 = 1.8 + 0.12
0.6r = 1.92
Now, to solve for r, we divide both sides of the equation by 0.6:
[tex]\[ \frac{0.6r}{0.6} = \frac{1.92}{0.6} \][/tex]
[tex]\[ r = \frac{1.92}{0.6} \][/tex]
[tex]\[ r \approx 3.2 \][/tex]
So, the solution to the equation [tex]\(0.6(r - 0.2) = 1.8\) is \(r \approx 3.2\).[/tex]
The probable question maybe:
solve the equation 0.6(r - 0.2) = 1.8
What is 1 5/6 + 1/2 ?
a.
14/6
b.
17/12
c.
17/6
d.
25/12
Answers
convert to improper fraction
1 and 5/6=1+5/6=6/6+5/6=11/6
1/2 and 11/6
2 times 3=6
1/2 times 3/3=3/6
1/2+11/6=3/6+11/6=(4+11)/6=14/6
answer is A
"Which ranges describe the cluster in the scatter plot?
Choose exactly two answers that are correct.
A.between 8 and 10 years of age
B.between 32 and 72 pages read
C.between 10 and 12 years of age
D.between 32 and 38 pages read"
Answers
Hope i helped!:)
Answer:
A and C
Step-by-step explanation:
A.between 8 and 10 years of age
C.between 10 and 12 years of age
a culture contains 1500 bacteria initially and doubles every 30 mins. a) find a function that models the number of bacteria at time t. b) find the number of bacteria after 2 hours. c) after how much time will there be 4000 bacteria ...?
Answers
Below are the answers:
a. An = Ao • 2^(t/30)
b. An = 1500 • 2^(60*2/30) or An = 24000
c. 4000 = 1500 • 2^(t/30)
or 4000/1500 = 2^(t/30)
or ln(40/15) = (t/30) ln(2)
or t = 30* ln(8/3) / ln(2)
or t ~ 42.45 min
change 50/16 into a mixed number .Reduce your answer to lowest terms a.48 3/16
b.3 1/25
c.3 1/8
d.4 7/8 ? ...?
Answers
21 is 60 percent of what number
Answers
write a polynomial function in standard form with zeros at -3,-1, and 1
Answers
Answer:
Should be f(x) = x^3 + 3x^2 − x − 3 because this is written in standard form.
Step-by-step explanation:
Solve the system of equations below by graphing them with a pencil and paper. Choose the correct ordered pair (b, u).
u = -b + 21
u = -2b + 30 ...?
Answers
u = -2b + 30 . . . (2)
Equating (1) and (2),
-b + 21 = -2b + 30
-b + 2b = 30 - 21
b = 9
u = -9 + 21 = 12
Therefore, (b, u) = (9, 12).
kenya picked 18 flowers from her garden. If 3/5 of flowers in her garden remain unpicked, how many flowers are still in her garden?
Answers
Make a mapping diagram for the relation.
{(–2, 2), (–1, –4), (0, –3), (2, 5)}
Answers
IT is dependant on what x equals We plug in our x-value such as 1 into an equation and then we get our y-value. SO basically we start off with an x-value and then land up with a y-value
SO for example we have an equation:
y=3x-4 Let x=3 ---> y=3(3)-4=5
So our y-value is 5 WE are doing the same thing with that mapping picture. ON the left hand side is all the x-values and the right hand side is all the y-values once it has been plugged "some" equatio which is unknown to us
Now we know that a paired coordinate has the form (x,y) where the first value in the bracket is the x-coordinate and the second value is the y-coordinate. The paired coordinate basically tells us that when x is this value y is that value
What is the value of X plez?
Answers
Which expression is equivalent to 3(x + 4y)?
6x + 16y
3x + 12y
8x + 24y
x + 4y
Answers
3x + 12y is the answer.
A side of the square is 4t. the area of the square is 400. what is the value of t?
Answers
The value of the variable 't' will be 5.
What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = a² square units
A side of the square is 4t. the area of the square is 400. Then the value of the variable 't' will be
400 = (4t)²
(4t)² - 20² = 0
(4t - 20)(4t + 20) = 0
t = -5, 5
Thus, the value of the variable 't' will be 5.
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In algebra, why do you think that you are given many problems to solve that aren't really "real life" problems? For example, "Twice the sum of a number and 5 is 24. Find the number." ...?
Answers
Algebra problems may not seem like 'real-life' problems, but they help build a deeper understanding of mathematical concepts.
Explanation:Often, in algebra, you are given problems that may not seem like 'real-life' problems because they are designed to emphasize understanding the underlying concepts rather than simply executing a mathematical recipe. These problems aim to build a more meaningful understanding of the content by focusing on what the numbers represent and how they relate to each other. For example, in the problem 'Twice the sum of a number and 5 is 24. Find the number,' you can practice solving by setting up an equation and using algebraic manipulation to find the number.
which of the following is the sum of 3/18+2/18 reduced to lowest terms?
Answers
3/18 + 2/18 = 5/18
And it is in the simplest form.
equation for line parallel to 2x-3y+6=0, with the same y intercept
Answers
the equation of a line that is paralell to the line with the SAME y intercept is the same line
so the answer is 2x-3y+6=0 or any other form of that like 2x-3y=-6, or y=2/3x+2
solve for x
5(2x - 1) = 6
A)x=1/10
B)X=11/10
C)X=1/2
Answers
8) g(n) = 3n + 2
Perform the indicated operation
f (n) = 2n
2
+ 5
Find g( f (2))
Answers
Step 1: Calculate f(2).
Step 2: Calculate g(f(2)).
Step 1.
f(n) = 2n² + 5
If n = 2, then f(n) = f(2) = ?
f(2) = 2 * 2² + 5 = 2 * 4 + 5 = 8 + 5 = 13
Step 2.
g(n) = 3n + 2
If n = f(n), then g(n) = g(f(n)).
If f(2) = 13, then g(f(2)) = g(13) = ?
g(13) = 3 * 13 + 2 = 39 + 2 = 41
Wren bought a baseball card last year for $2.25. this year the price dropped to $.45. what was the percent of decrease in the price of the card?
a. 80%
b. 400%
c. 500%
d. 120%
Answers
80%
I hope this helps! :)
Answer:
a. 80%
Step-by-step explanation:
The percent of decrease can be calculated as:
[tex]Percentage Decrease = \frac{Initial price - Final Price}{ Initial Price}*100 [/tex]
Then, replacing initial price for $2.25 and final price for $.45 we get:
[tex]Percentage Decrease = \frac{2.25 - 0.45}{2.25} *100[/tex]
percentage of decrease = 80%
Finally the percentage of decrease in the price of the card is 80%
A submarine's elevation changes -657 feet over a period of 6 minutes. If the submarine descended at a constant rate, what is the approximate elevation change per minute?
-130 feet
-90 feet
-120 feet
-110 feet
Answers
The approximate elevation change per minute for the submarine is -109.5 feet.
Explanation:To find the approximate elevation change per minute, we need to divide the total elevation change by the total time taken. The submarine's elevation changes by -657 feet over a period of 6 minutes. So, we divide -657 by 6 to get the approximate elevation change per minute.
-657 / 6 = -109.5 feet
Therefore, the approximate elevation change per minute is approximately -109.5 feet.
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Help! Need help!
1. Justin is considering two websites for downloading music.The costs are detailed here.
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+by=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Website 1:
Website 2:
2. Is the system of equations is consistent, consistent and coincident, or inconsistent?
y=4x−4y=−4x+4
a. consistent b. consistent and coincident c. inconsistent
Answers
website 2 : y = 2x + 0...or just y = 2x
=======================
y = 4x - 4
y = -4x + 4
4x - 4 = -4x + 4
4x + 4x = 4 + 4
8x = 8
x = 1
y = 4x - 4
y = 4(1) - 4
y = 4 - 4
y = 0
so this is a consistent system because it has one solution (1,0)
Which best describes the sides of any trapezoid?
A.
All sides are the same length.
B.
Only one pair of sides is parallel.
C.
Both pairs of opposite sides are parallel.
Answers
Hope this helps!
The answer is: only one pair of sides is parallel a.k.a b
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Find the rate at which the area within the circle is increasing after each of the following.
after 1 s = after 3 s = after 7 s =
Answers
What is the definition of percent??
Answers
Hope this helps :)
What is 10 to the power of 3?
Answers
Is the number 53 a prime number or a composite number
Answers
Answer:
It's prime:)
Step-by-step explanation:
Select all that justify the following statement.
10 + x 12 = 12x + 10
a) commutative - addition
b) distributive
c) associative - multiplication
d) symmetric
e) commutative - multiplication
f) associative - addition
g) identity - addition
Answers
And this 10 + x12 =10 + 12x is e) commutative - multiplication
So you use them both. And they're both correct.
Answer:
The statement satisfied the expression 10 + x 12 = 12x + 10 is
Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .
Step-by-step explanation:
Commutative Property
Let a, b be two numbers thus they satisfied the commutative property
i.e a + b = b + a
As given the expression.
10 + x ×12 = 12x + 10
First apply the Option (e) i.e Commutative - multiplication.
Thus expression becomes
10 + 12x = 12x + 10
Now apply the Option (a) i.e Commutative - addition.
Therefore the statement satisfied the expression 10 + x 12 = 12x + 10 is
Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .
Jay earns $5.90 per hour working at the ice cream parlor after school. He needs at least $236 for a stereo system. Choose the inequality that describes how many hours Jay must work to buy the stereo system.