Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?
Answers
Answer:
8x = 32
x = 4
y = 6
Step-by-step explanation:
2.5y + 3x = 27
5x – 2.5y = 5
_____________
8x = 32 (equation obtained after adding the two equations)
x = 32/8
x = 4
Plug x = 4 in 2.5y + 3x = 27
2.5y + 3*4 = 27
2.5y + 12 = 27
2.5y = 27 - 12
2.y5= 15
y = 15/2.5
y = 6
The equation results of adding the two equations is 8x = 32.
The solution to the system is (4, 6).
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, A system of linear equations in variables 'x' and 'y'.
2.5y + 3x = 27...(i) and 5x - 2.5y = 5...(ii)'
Reaaranging eqn(i) we have
3x + 2.5y = 27...(iii)
Adding (ii) and (ii) we have,
8x = 32. (As + 2.5y and - 2.5y cancels)
x = 32/8.
x = 4.
Putting the value of 'x' in eqn(i) we have,
2.5y + 12 = 27.
2.5y = 15.
y = 6.
So, The solution to the system is (4, 6).
learn more about linear equations here :
https://brainly.com/question/11897796
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Related Questions
consider the following diagram. point Q is equidistant from a and b. if the distance from A to the perpendicular line is 3/4x+6 and distance from B to the same perpendicular line is 5x-4/5. what is the value of x
Answers
Answer: 1.6
Step-by-step explanation: just did it
can someone pls help and explain. i have a test tomorrow and i’m stressing
Answers
Answer:
see below
Step-by-step explanation:
The segment addition postulate just means we can add two segments together ad get the big segment
Since G is between F and H
FG + GH = FH
6 + GH = 11
Subtract 6 from each side
6-6 + GH = 11-6
GH = 5
4y - 4x = -32
I would like to find the slope
Answers
Answer:
Slope = 1
Step-by-step explanation:
[tex]4y - 4x = - 32 \\ \\ 4y = 4x - 32 \\ \\ y = \frac{4x}{4} - \frac{32}{4} \\ \\ y = x - 8 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ m = 1 \\ \therefore \: slope \: = 1 [/tex]
You are playing a game that involves spinning the wheel shown. Find the probability of spinning pink, then blue.
Answers
Answer:
pink is 3/16 blue is 1/4
Step-by-step explanation:
Answer:
Pink: 3/16 Blue:4/16 = 1/4
Step-by-step explanation:
Just look at the spinner, and find the fractions!
FYI Pink can not be more simplified, Blue can.
2 If m please help me
Answers
Answer:
x = 18
m∠HCB = 36
Step-by-step explanation:
The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:
8x + 2x = 180
10x = 180
Divide both sides of the equation by 10 to isolate the x:
10x/10 = 180/10
x = 18
Now that we know the value of x, we can find the measure of angle HCB:
2x
2(18)
36
The measure of angle HCB is 36.
I hope this helps :)
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
Answers
Answer:
x = 10
Step-by-step explanation:
We would use postulates and theorem to figure out 34 = 3x + 4. Once you set 34 equal to 3x + 4, you would solve for x as can be shown below:
34 = 3x + 4
Subtract 4 from both sides.
30 = 3x
Divide both sides by 3.
10 = x
Answer:
10
Step-by-step explanation:
(3x + 4)° = 34°
x = 10
Can someone plz help
Answers
Answer:
y=65
isosceles triandle
x=360-55-65
x=250
It costs $5.08 for 4 pounds of gummy candy in bulk. How much would it cost to buy 17 pounds?
Answers
Answer:
$21.59
Step-by-step explanation:
Basically how I did it was to multiply 5.08 by 4, because that would be the cost of 16 bags and then I divided 5.08 by 4 to see how much one bag would cost. One bag costs 1.27. After I've got the answer, I added 1.27 to 20.32 and got $21.59.
If the variable Y= 1.8 Solve this algebraic expression Y(3.35)
Answers
Answer:
1.8(3.35)=6.03
Step-by-step explanation:
Write a equation in slope-intercept form of the line that passes though (-5,19) and (5,13)
Answers
Answer:
y= -3/5x + 16
Step-by-step explanation:
slope intercept form: y=mx+b
1. Find the slope: rise over run so 13-19/ 5-(-5) = -3/5
M=-3.5
2. Find the y - intercept by using the point slope form: b= 16
So, y= -3/5x + 16
Hope this helps :)
Your friend really wants to buy the newest cell phone which will cost him $600. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $65 to detail a car and $90 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $600?
Answers
65c + 90s >_ 600
Step-by-step explanation:
65c plus 90s is greater than or equal too 600
1.) Pranav completed 12 laps which is 15% of his daily goal. Using a bar model, what is his daily lap goal?
Answers
Answer:
80lapsStep-by-step explanation:
Step one:
number of completed laps=12
let his daily goal be x
so, we are told that 15% of the daily goal is 12 laps
Step two:
Required, the daily goal in laps
15/100*x= 12
0.15x=12
divide both sides by 0.15
x=12/0.15
x= 80laps
Therefore Pranav's daily goal is 80laps
what is the correct expanded for and value of 43?
Answers
Answer:
A and C
Step-by-step explanation:
Answer:
4×4×4=64
Step-by-step explanation:
Heeeeelp ayuda amigos 4. En un famoso juicio por asesinato, cuatro amigos: Arturo (A), Bety (B), Carlos (C) y Dora (D) testifican cada uno bajo juramento. Determina si los testimonios son consistentes: Arturo: Bety o Carlos es culpable, pero yo soy inocente. Bety: Si Dora es culpable, entonces los demás son inocentes. Carlos: Si Bety es culpable entonces yo soy inocente. Dora: Arturo o Bety es inocente. Si la gente inocente dice la verdad y la culpable miente, determina si es posible, quien es culpable y quien inocente:
Answers
Answer:
Bety es culpable y los demas son inocentes
Step-by-step explanation:
Siguiendo dos lineas de argumento diferente, Bety es la culpable. Si seguimos las otras dos opciones, el resultado no sera congruente:
Si Arturo es inocente y dice la verdad, el asesino es Bety o Carlos
Si Bety es culpable y miente, Dora sera inocente
Si Carlos es inocente y dice la verdad, Bety es la asesina
Si Dora es inocente y dice la verdad, Arturo es inocente y Bety culpable
Si Dora es inocente y dice la verdad, entonces Arturo o Bety es inocente.
Si Bety es culpable y miente, entonces Dora es inocente.
Si Carlos es inocente y dice la verdad, Bety es la asesina
Si Arturo es inocente y dice la verdad, Bety es la asesina.
Si Arturo es culpable y miente, Bety y Carlos son inocentes
Si Bety es inocente y dice la verdad, Dora sera culpable (ESTO REPRESENTA UNA FALLA EN EL ARGUMENTO)
Si Carlos es culpable y miente, Bety es inocente y el culpable.
Si Arturo es inocente y dice la verdad, el asesino es Carlos y Bety es inocente.
Si Bety es inocente y dice la verdad, Dora sera culpable (ESTO REPRESENTA UNA FALLA EN EL ARGUMENTO)
An automatic dog feeder contains 30 cups of food and dispenses 2 cups of dog food each day. What expression can the dog owner use to express the amount of food left in the feeder after d days?
Answers
9514 1404 393
Answer:
30 -2d
Step-by-step explanation:
The total amount used in d days is 2d (cups). The amount remaining is the initial amount (30 cups) less the amount used. A suitable expression is ...
30 - 2d
what is the slope of the line also please tell me how to find the slope rip
Answers
Solve 12 yd = ft please help
Answers
Answer:
36 feet
Step-by-step explanation:
you multiply 12 by three and you have your answer
Answer:
36 feet
Step-by-step explanation:
25 points if you answer. Martin Rode his bike 3 2/3 miles in 16 1/2 minutes. Assume he wrote the same speed the entire time. How fast did he ride in miles per minute?
Answers
Answer:
The speed is 2/9 miles per minute
Step-by-step explanation:
Speed is defined as the distance covered per unit time.
The formula for speed is given by:
[tex]Speed = \frac{distance}{time}[/tex]
Let s be the speed, d be the distance and t be the time then
[tex]s = \frac{d}{t}[/tex]
Given
[tex]d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes[/tex]
The speed will be calculated by dividing the number of miles by minutes
So putting the values in the formula
[tex]s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}[/tex]
Hence,
The speed is 2/9 miles per minute
CAN U HELP I HAVE NO IDEA AND PLEASE TELL ME HOW TO GIVE BRAINLY
Answers
Answer:
The slope is 3
Step-by-step explanation:
Slope= (y2-y1)/(x2-x1)
(4-1)/(4-3)= 3/1=3
The slope is 3
Help me please, I don’t understand. Thank you
Answers
Answer:
okie yw I'll help you today! :) Also have a nice day and please be kind for me too have a nice day too!
I love learning about the angles!
x=obtuse
y-acute
and
z=acute too (degrees!)
baiiiiii
<3333333333!
The main mast of a fishing boat is supported by a study rope that extends from the top of the mast to the deck. If the mast is 20 feet tall and the rope attached to the deck 15 feet away from the base of the mast, how long is the rope?
Answers
Answer:
it will be 35 bc u will times 20 and 15 to get the answer
Step-by-step explanation:
Answer: The mast is about 23 feet high.
100 points pls help help meeeeeeee
Answers
Answer:
B: Ella got a higher ratio on this week's test.
Step-by-step explanation:
Lets gather info:
13:15 and 16:20.
So, is
[tex]\frac{13}{15} greater than, less than, or equal to \frac{16}{20}?[/tex]
Ok. 13/15 is 0.87.
16/20 is 0.8
So Ella got a higher ratio on this weeks test.
So B.
Hope this helps plz hit the crown :D
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Does the following table show a proportional relationship between the variables X and y?
20
о» | сл
25
6
125
6
y
2
10
50
Answers
Answer:
Step-by-step explanation:
25
What is the total volume of the half cylinder below? 6.4.8 A. 3768 in3 B. 1884 in3 C. 942 in3 D. 471 in3
Answers
Answer:
The formula for the volume of a cylinder is V=Bh or V=πr2h . Step-by-step explanation:
What is 3,600 seconds per hour times 24 hours per day times 365.25 days per year?
Answers
Answer:31557600
Step-by-step explanation:
3600 x 24 x 365.25
Which equal 31557600
Answer:
31557600
Step-by-step explanation:
I just did it on i ready.
Good luck with the rest of the lesson.
PLEASE HELP!! Square and cube challenge
(4/7) ^2 =?
Answers
Answer:
2/7 I hope this helps
Answer:
[tex]\frac{16}{49}[/tex]
Step-by-step explanation:
Given
([tex]\frac{4}{7}[/tex] )² = [tex]\frac{4^2}{7^2}[/tex] = [tex]\frac{16}{49}[/tex]
What is the result when 6x3 + 9x2 + 11x + 4 is divided by 2x + 1?
Answers
Answer: =10.873127bd3i2vxy2+6x3+9x2+11x+1
Step-by-step explanation:
6x3+9x2+11x+4divid(2.718282)dby2x+1
=6x3+9x2+11x+10.873127bd3i2vxy2+1
1. What is the next term in the geometric sequence 4, 8, 16,...?
b. 42
a. 32
C. 64
d 96
Answers
Answer:
32
Step-by-step explanation:
Answer:
the answer is A. 32 hope this helps
im bad at math so help ill mark the first person brainliest ty
Answers
Answer:
A. -x² + 2x + 8
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = 2x + 1
g(x) = x² - 7
(f - g)(x) is f(x) - g(x)
Step 2: Solve
Substitute: (f - g)(x) = 2x + 1 - (x² - 7)Distribute -1: (f - g)(x) = 2x + 1 - x² + 7Combine like terms: (f - g)(x) = -x² + 2x + 812 + 6r less than or equal too 3(5 + r) for r
Answers
Answer:
LLOOOL
Step-by-step explanation: