Solve by elimination:
3x + 4y = 0
5x-3y = -58
A (6, -8)
B (-6, -8)
C (-8, 6)
D ( 8, 6)
Answers
Answer:
x=−8
y=6=
Step-by-step explanation:
3x+4y=0
5x−3y=−58
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
3x+4y=0,5x−3y=−58
To make 3x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 3.
5×3x+5×4y=0,3×5x+3(−3)y=3(−58)
Simplify.
15x+20y=0,15x−9y=−174
Subtract 15x−9y=−174 from 15x+20y=0 by subtracting like terms on each side of the equal sign.
15x−15x+20y+9y=174
Add 15x to −15x. Terms 15x and −15x cancel out, leaving an equation with only one variable that can be solved.
20y+9y=174
Add 20y to 9y.
29y=174
Divide both sides by 29.
y=6
Substitute 6 for y in 5x−3y=−58. Because the resulting equation contains only one variable, you can solve for x directly.
5x−3×6=−58
Multiply −3 times 6.
5x−18=−58
Add 18 to both sides of the equation.
5x=−40
Divide both sides by 5.
x=−8
The system is now solved.
x=−8,y=6
Coordinates are: (-8,6)
Graph:
Related Questions
Mean and standard deviation of sample proportions
Suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let p represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly. What are the mean and standard deviation of the sampling distribution of p?
Answers
Answer: D
Suppose that 35\%35%35, percent of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 303030 students from the population of 750750750 students at the school and finds that 40\%40%40, percent of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this.
Step-by-step explanation: Khan Academy Explanation
The mean and standard deviation is given by -
μ = 0.35 and σ = 0.09.
What is mean, median and mode in statistics?Mean : The "average" number; found by adding all data points and dividing by the number of data points.Median : The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).Mode : The most frequent number—that is, the number that occurs the highest number of times.Given is that suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let {p} represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly.
The standard deviation is given by → [tex]$\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]where -
{σ} = population standard deviation
{N} = the size of the population
x{i} = each value from the population
{μ} = the population mean
The mean and standard deviation is given by -
μ = 0.35
σ = √(0.35)(0.65)/(30) = 0.48/5.5 = 0.09
σ = 0.09
Therefore, the mean and standard deviation is given by -
μ = 0.35 and σ = 0.09
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7/10 - ___ + 3/2 = 6/5. I want to know the blank and how you did it so I can solve it on my own! Thank you!
Answers
Simplify the following expression:
6b + 3ab + 4b + 3
O 2b
O 10b + 3ab + 3
O 13b + 3
06b + 3ab + 4b + 3
Answers
Answer:
6b+4b first because you have to combine like terms so 10b and the others aren't like terms so you just plug them in so 10b+3ab+3
the price of a stereo system is $627.50 the sales tax is 6% find the amount of the tax and the total cost
Answers
m(x)=x(x+6)
p(x)=x(x+3)²-9
Show that m(x) and p(x) are equivalent
Answers
Answer:
m=x+6
Step-by-step explanation:
Let's solve for m.
mx=x(x+6)
Step 1: Divide both sides by x.
2x/x= x²+6x/x
m=x+6
Hope this helps :)
PLS BRAINLIEST
Name two pairs of adjacent angles and two pairs of vertical angles in
the figure.
Can anyone help with 1 and 2?
Answers
Answers are
1.
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
2.
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
Adjacent and vertical angles:
Adjacent angles: Two angles with a common arm and vertex are called adjacent angles.
They share a common arm and common vertex.
Adjacent angles are not always equal in measure
Vertical angles: When two lines intersect each other, then the pair of opposite angles formed at the vertex are called vertical angles.
They share a common vertex, but no common arm.
Vertically opposite angles are equal in measure.
(Here)
For question - 1,
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
For question - 2,
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
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Help Me Please.................
Answers
To get this, you first add 7 to each side making the equation -4.818 = x/3.3
Then, you would need to multiply each side by 3.3 to get x by itself.
Your answer would be -15.8994.
Answer:
[tex]x=-15.8994[/tex]
Step-by-step explanation:
Skills needed: Solving one variable equations, Multiplication
1) We are given: [tex]-11.818=-7+\frac{x}{3.3}[/tex], and we need to solve for "[tex]x[/tex]"
2) In order to do this, you need to isolate the variable. In other words, you need to make sure the term involving "[tex]x[/tex]" is on one side of the equation, while everything else is on the other side.
In this case, the term involving "[tex]x[/tex]" is: [tex]\frac{x}{3.3}[/tex] In order to isolate [tex]\frac{x}{3.3}[/tex], you need to get rid of the "-7" on the right side. To get rid of it, we can add 7 to both sides.3) [tex]-11.818+7 = -7+\frac{x}{3.3} +7[/tex]
[tex]-11.818+7=-4.818[/tex]
-7 and 7 on the right side cancel out.
4) So you are left with: [tex]-4.818=\frac{x}{3.3}[/tex]
To get "[tex]x[/tex]", you need to multiply both sides by 3.3If you do this, the denominator will get cancelled out, leaving us with "[tex]x[/tex]" equaling a value.5) So then: [tex]-4.818 * 3.3 = x[/tex] (that star sign in between -4.818 and 3.3 is a multiplication sign)
[tex]-4.818*3.3 = -15.8994[/tex], so [tex]x = -15.8994[/tex]
Hope this helps and have a nice day!! :] :) :D
IN A CRISIS RN SO COULD SOMEONE PLEASE HELP ME?
Answers
Answer:
D
Step-by-step explanation:
Answer:Use math Papa
Step-by-step explanation:
A system of equations is shown below,
y = 5x + 2
10x - 2y = 12
what is the solution to the system of equations?
Answers
Step by step:
10x-2(5x+2)=12
10x-10x-4=12
0x=16
No solution
Bill is 6 years older than Mary. The sum of their ages is 48. What are the equations used to find their ages?
Answers
Step-by-step explanation:
Mary's age = x
Billi's age = x+6
So, Mary age + Billi age = x + (x + 6)
Sum of their ages = 2x + 6
So, 2x + 6= 48
2x = 48 - 6
2x = 42
x = 42/2
Mary age = x = 21
And Billi age = x +6= 21 + 6 = 27
So Mary = 21
And Billi = 27
Lets check!
21 + 27 = 48
So therefore their ages add up to 48
So the answer is correct!
The measurements of a rectangular room, in a scale drawing, are 2 inches by 3
inches. The scale is inch = 3 feet. If carpet costs $1.75 per square foot, how much will
it cost to put carpet in this room?
Answers
Answer:
so,
the room (2×3) × (3×3) feet, or 6x9 feet.
6x9= 54square feet
54 x 1.75= $94.50
Tyrone used 15 centimeters of tape to wrap 5 presents. How many presents did Tyrone wrap if he used 42 centimeters of tape? Assume the relationship is directly proportional.
Answers
Answer: 14 presents
Step-by-step explanation:
5 presents 42 cm tape
——————I-———————.
15 cm tape 1
= (5x42) /15 = 14 presents
What does 15+5= 18 +
Answers
Answer:
2
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
24 pack of mountain dew for 9.99 or a pack if mountain dew for 5.99 find the unit number
Answers
Answer:
24 pack of mountain dew=9.99
1 pack of mountain dew=9.99/24=0.41625
the probability that it will rain tomorrow is 0.85what is the probability that it will not rain tomorrow
Answers
Answer:
.15
Step-by-step explanation:
Probability of Rain = x
Probabiliy of No Rain = y
Y=1-X
Y=1-0.85
Y=.15
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.
Answers
Answer:
14.2 ft
Step-by-step explanation:
tan 66° = 32/ FD
FD = 32 / tan 66° = 32 / 2.246 = 14.2
hope it helped you
Answer:
17.4
Step-by-step explanation:
\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}
tanD=
adjacent
opposite
=
7.4
x
\tan 67=\frac{x}{7.4}
tan67=
7.4
x
7.4\tan 67=x
7.4tan67=x
Type into calculator and round to the nearest tenth of a foot.
volume of rectangular prism with length of 9in and width of 1 1/3in and height of 4 2/3in
Answers
Answer:
V≈55.98
Step-by-step explanation:
V=WHL=1.33x4.67x9≈55.978
4. Bobby is 12 years old. His grandfather is 60 years old, what percent of Bobby's
grandfather's age is Bobby's age?
Show your work
Somebody please help me I'm confused on this question and this is our last day to do this test and it's most of our grade
Answers
Answer: 12/60 as a percentage is 20%
Step-by-step explanation: boby is 12 and his grandfather is 60 so Bobby’s age is 12/60 of his grandfather and as a percentage it’s 20%
Answer:
5% maybe....
Step-by-step explanation:
What is the solution set for (2x-7)^2=25
Answers
The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The solution set for a quadratic equation is the roots of the quadratic equation.
Given, (2x - 7)² = 25.
2x - 7 = ± 5.
2x = ± 5 + 7.
x = (± 5 + 7)/2.
x = 12/2 Or 2/2.
x = 6 or 1.
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A rectangular painting is bordered on all sides by a frame. Write an
expression to describe the area of the frame.
A. 6x + 4
B. 4x2 + 3
C. 5x + 3
D. 4x2 + 5x + 3
Answers
I think it is a 6x+4
The required area of the frame shown is 5x + 3. Option C is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the surface area is the amount of area covering the exterior of a 3D shape.
Here,
The area of the picture is given as,
= 2x × x
= 2x²
The area of the whole painting with frame.
= (x + 1)(2x+ 3)
= 2x² + 5x + 3
The area of the frame is given as,
= area of picture with frame - an area of the picture,
= 2x² + 5x + 3 - 2x²
= 5x + 3
Thus, the required area of the frame shown is 5x + 3. Option C is correct.
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Question 4
(05.05)What is the rate of change for the linear relationship modeled in the table
Answers
Answer:
-1/2
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answers
Answer:
43.96
Step-by-step explanation:
To find Circumference the formula is
2*3.14*R=C
replace R with your radious which is 7
2*3.14*7=43.96
(10 + 2)² + (6 -14÷7) =
Answers
Answer:
148
Step-by-step explanation:
12 x 12 + (6-2)
144 + 4 = 148
Hope that helps!
12² + 2 = 144 + 4 = 148
Answer = 148
According to the priority of the process, first we do inside the brackets and then we get the exponent.
I hope I got it right, I'm trying to improve my English a little :)
Greetings from Turkey:)#XBadeXI need help please?
Answers
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
Bob gets paid an annual salary of $30,000 and earns 5% commission on all sales he makes. If Bob wants to make $6,000 this month, how much in sales does he need to have?
a.
$50,000
b.
$70,000
c.
$90,000
d.
$120,000
Answers
Answer:
The answer is 70,000 sales.
Bob gets paid an annual salary of $30,000, which means that monthly he gets:
$30,000 : 12 months = $2,500 per month
x - number of sales
Bob earns 5% commission on all sales he makes: x * 5% = x * 0.05 = 0.05x
The function is:
f(x) = 2,500 + 0.05x
Bob wants to make $6,000 this month: f(x) = 6,000
2500 + 0.05x = 6000
0.05x = 6000 - 2500
0.05x = 3500
x = 3500 : 0.05
x = 70000 sales
Step-by-step explanation:
Sales for the month should amount to $70,000
Annual salary = $30,000
Commission on sales = 5%
To make 6000 in a month :
Monthly salary = $30000 / 12 = $2500
Month earning = $2500 + 5% × (monthly sales)
Month earning = $6000
Let month sales = m
6000 = 2500 + 0.05m
6000 - 2500 = 0.05m
3500 = 0.05m
m = 3500 / 0.05
m = 70,000
Sales for the month should be 70,000
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PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
Answer: im in 100% sure but i think its yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I used photomath
x to the second power is 49 what is x?
Answers
Answer:
7 or -7
Step-by-step explanation:
the question is asking for x to to the second power which is x squared or x^2
so setting x^2=49
square root both sides of the equation so that x is by itself and the other side is just ±√(49). which ±√49 is just 7 or -7
Hope that helps :)
Please gve brainliest
A boat travels 187 miles in 10
hours (with a constant speed).
How far can it travel in 14 hours
(with the same speed)?
Answers
Answer:
grufhvdyfvgysgddgfvsygujsbchusb
Step-by-step explanation:
please i will mark you brill help me
Answers
Answer:
2n + 20
Step-by-step explanation:
2 times anything doubles it, then you are adding 20. An expression doesn’t have an equal sign (equations do)
Consider the number line graph of x > 28. Which numbers are solutions for the inequality?
A)
0
B)
21
C)
28
D)
30
E)
45
Answers
Answer:
D and E
Step-by-step explanation:
X is any number GREATER THAN 28, but it is not greater than or equal to so it is not C. A and B are less than 28, so those cannot be answers. D and E are both larger than 28, therefore those are correct.
Answer:
D and E
Step-by-step explanation:
X is any number GREATER THAN 28, but it is not greater than or equal to so it is not C. A and B are less than 2
Step-by-step explanation: