Answer: y = 2 x = -2
Step-by-step explanation:
-x + y = 4
x + 3y = 4
Since x and -x are opposite, we can use the system of elimination
To do that, we add the first equation and the second equation together
-x + y = 4
+
x + 3y = 4
↓
4y = 8
Now we solve for y
4y = 8
Divide both sides by 4
y = 2
Since we now know y, we can solve for x by substituting y for 2 in one of the equations.
x + 3y = 4
Substitute y for 2
x + 3 (2) = 4
x + 6 = 4
Subtract 6 from both sides
x = -2
Hope I helped! And sorry if I repeated somethings.
what's the answer to 4/3y = 16
Answer:
12
Step-by-step explanation:
4/3y = 16
4y=48
y=12
Given that f(x) = x2 + 12x + 32 and g(x) = 2 + 4, find (f - g)(x) and
express the result in standard form.
Answer:
(f - g)(x) = x² + 12x + 26
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
f(x) = x² + 12x + 32
g(x) = 2 + 4
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = x² + 12x + 32 - (2 + 4)Combine like terms: (f - g)(x) = x² + 12x + 32 - 6Combine like terms: (f - g)(x) = x² + 12x + 26someone plssss helppppp i need it finished in like 20 min plsss help
Answer:
number of guest tickets, g, is 100 tickets
number of student tickets, s, is 125 tickets
Step-by-step explanation:
Given;
total number of tickets sold, t = 225 tickets
cost of each guest ticket, = $5.5
cost of each student ticket, = $3.5
total cost of the tickets, Tc = $987.5
number of guest tickets = g
number of student tickets, = s
g(5.5) + s(3.5) = 987.5 ------- (1)
g + s = 225 ----------- (2)
From equation (2); s = 225 - g
Substitute the value of g in equation (1)
5.5g + 3.5(225 - g) = 987.5
5.5g + 787.5 - 3.5g = 987.5
5.5g - 3.5g = 987.5 - 787.5
2g = 200
g = 200 / 2
g = 100 tickets
Then, s = 225 - g
s = 225 - 100
s = 125 tickets
Pleaseeeee answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
What is the volume of the rectangular prism?
Height : 3 1/2
Length : 4
Width : 5 1/4
Answer: 600m
Step-by-step explanation: i didnt know if you wanted meters or feet or sum else so i just did that
You pay a registration fee and a monthly fee to join a local fitness center. The table shows the total cost of joining the fitness center for different numbers of months.
Write an equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months.
Answer:
100 divided by 3=33.33 therefore 33.33 per month
Step-by-step explanation:
Equation:
33.33x9= 299.97
This is for 9 months
An equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months is; y = 20x + 40
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
WE have to pay a registration fee and a monthly fee to join a local fitness center.
The table represents the total cost of joining the fitness center for different numbers of months.
Then the equation is;
y - 100 = 20(x - 3)
y = 20x - 60 + 100
y = 20x + 40
Hence, an equation that represents the total cost (in dollars) of joining the fitness center after a certain number of months is; y = 20x + 40
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
ind an expression for the nth term (t_n) in each of the following
[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \ frac{1}{n}}}[/tex]
Step-by-step explanation:A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,
[tex]\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}[/tex]
When we flip the numbers , we can clearly see that the number are in Harmonic Progression.
That is when we flip the numbers they are found to be in Arithmetic Progression .
And nth term of an Harmonic Progression is :-
[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}[/tex]
Hence here
Common difference = 1First term = 1 .Substituting the respective values,
[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]
Hence the nth term of the given sequence is given by ¹/n .Answer: 1
Step-by-step explanation:
What is the equation for the line of reflection?
A. x=6
B. y=6
C. y=x
D. y=2
Answer:
A: x=6
Step-by-step explanation:
In May 2007, the price of crude oil was at 61$ per barrel. A year later it was at 126$ per barrel. So ,If the price of the oil continued to climb at this rate , will barrel 1 have cost more than 200$ in December 2008? answer using ax+by=c
Answer:
Yes, it will cost $204.30.
Step-by-step explanation:
Given that in May 2007 the price of a barrel of crude oil was $ 61, and a year later it rose to $ 126, to determine the rate of increase we must perform the following calculation:
61 = 100
126 = X
(126 x 100) / 61 = X
206.55 = X
206.55 - 100 = 106.55
Therefore, a barrel of crude oil rose 106.55% in one year, which implies a rise of 8.87% per month (106.55 / 8.87). Given that December is 7 months apart, maintaining this average increase, the price of a barrel of crude oil in December 2008 arises from the following calculation:
8.87 x 7 = 62.15
126 x 1.6215 = 204.30
Therefore, maintaining this average increase, as of December 2008 a barrel of crude oil will cost $ 204.30.
The park near Malin's house is circular. Its diameter is 2 miles. How far will Malin walk if she walked around the park three times?
3x +y = -2x+8
-3x+2y=-10
If (x,y) is a solution to the system of equations
above, what is the value of xy?
a) -16
b) -8
c) -4
d) 4
Answer: c) -4
Step-by-step explanation:
Get the variables on one side of 3x+y=-2x+8 and the constants on another side:
3x+y=-2x+8
(3x+y)+2x=(-2x+8)+2x
5x+y=8
Now, multiply 5x+y=8 by -2:
-2(5x+y=8)
-10x-2y=-16
Add this equation to -3x+2y=-10:
(-10x-2y=-16)+(-3x+2y=-10)
-13x=-26
x=2
Plug x=2 into -3x+2y=-10:
-3(2)+2y=-10
-6+2y=-10
2y=-4
y=-2
Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4
You are decorating your bedroom. To get the paint colour you want, you mix 2 parts red with 1 parts cream and 3 part blue. How much blue paint will you need to mix with 4 litres of red?. Single line text.
Answer:
6 litres of blue color should be mixed.
Step-by-step explanation:
To get the paint color as per my wish, paint of different colors are mixed in the ratio = Red : Cream : Blue
= 2 : 1 : 3
In this mixture, ratio of red and blue color = 3 : 2
This ratio will be constant for any amount of mixture.
Therefore, [tex]\frac{\text{Amount of Blue color}}{\text{Amount of red color}}=\frac{3}{2}[/tex]
[tex]\frac{b}{4}=\frac{3}{2}[/tex]
b = [tex]\frac{3}{2}\times 4[/tex]
b = 6 litres
Therefore, 6 litres of blue color should be mixed with the 4 litres of red color.
Denver is about 5,200 feet above sea level. Which number line best represents this integer?
A number line going from negative 7,000 to positive 7,000. A point is at 5,200.
A number line going from negative 7,000 to positive 7,000. A point is at 4,800.
A number line going from negative 7,000 to positive 7,000. A point is at negative 4,800.
A number line going from negative 7,000 to positive 7,000. A point is at negative 5,200.
Answer:
A.
Step-by-step explanation:
I just took the test:) I’m pretty sure it’s right
Answer:
Its A.
Step-by-step explanation:
I did the test and can confirm. :)
is 12/200 and 9/150 proportional
On a 4 sided dice what is the probability that a 1 was rolled?
Answer (round) to the hundredth place value.
Given:
A 4 sided dice is rolled.
To find:
The probability of getting 1.
Solution:
A 4 sided dice is rolled.
On a 4 sided dice, the possible outputs are 1,2,3,4.
Total number of outcomes = 4
Favorable outcomes or number of 1 = 1
Now,
[tex]\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]\text{Probability of getting 1}=\dfrac{1}{4}[/tex]
[tex]\text{Probability of getting 1}=0.25[/tex]
Therefore, the probability of getting 1 is 0.25.
56 : 16 kg rate in the lowest term
Answer:
Step-by-step explanation:
56 divided by 15 equals 3.5, so it's 3.5:1
3/2=12 y=
Pls help ASAP
Answer: 1/8
Step-by-step explanation:
Answer: y=8
Step-by-step explanation:
3/2=12 so first thing we want to do is multiply the bottom of the fraction and that leaves us with 3=24 then we divide and we get y=8 (that is what i beign thaught hope this helps in some way)
Mr. Garza is buying a new lawnmower. The lawnmower sells for $235.75. Sales tax is 8%. What is the total price do the lawnmower including the tax?
The scale on a map reads
1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between the cities
Answer:
The actual distance between cities = 345 miles
Step-by-step explanation:
Given that:
Scale on map is
1/2 inch = 30 miles
0.5 inch = 30 miles
Distance between two cities on map = [tex]5\frac{3}{4}[/tex] = [tex]\frac{23}{4}[/tex] = 5.75 inches
Actual distance = x
As the relationship is proportional
0.5 : 30 :: 5.75 : x
Product of mean = Product of extreme
30*5.75 = 0.5x
172.5 = 0.5x
0.5x = 172.5
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345[/tex]
Hence,
The actual distance between cities = 345 miles
14 hours 40 minutes ÷ 5?
Answer:
112 seconds
Step-by-step explanation:
According to my calculations girl here to tell you how.
40*14=560
560/5=112
if 14 is hours and 40 is minutes, multiplying and dividing by five gives you
*DRAMATIC MUSIC*
112 seconds
Answer:
176 minutes
Step-by-step explanation:
14 hours equals 840minutes + 40 minutes = 880 minutes
880/5=176
HELP PLS I DONT HAVE MUCH TIME!!!! POINTS WILL BE GIVEN I WILL MARK AS BRAINLIST!!!
Answer:
(81x+13)
Step-by-step explanation:
there were 135 wagons in two station together.
after they moved 45 wagon from the first station to the second station, and 36 wagon from the second station to the first station,
it turned out, that now there were
1 1/2 (3/2) times more wagons in first station, than in second station.
question: how many wagons were on each station in the beginning?
(I need detailed answer please, and I'll mark u as brainliest )
Answer:
[tex]The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = 90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =45[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Total\ no.\ of\ wagons\ in\ both\ the\ stations=135\ wagons\\Now,\\Let\ both\ the\ stations\ be\ denoted\ as\ Station\ A\ and\ Station\ B.\\\\Let\ the\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ be\ x\\Let\ the\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ be\ y\\Hence,\\We\ are\ also\ given\ that,\\Number\ of\ wagons\ that\ removed\ from\ Station\ A=45\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ A=36\\Similarly,\\[/tex]
[tex]Number\ of\ wagons\ that\ removed\ from\ Station\ B=36\\Number\ of\ wagons\ that\ were\ added\ to\ Station\ B=45\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ A=x-45+36=x-9\\The\ final\ number\ of\ wagons\ in\ Station\ B=x+45-36=y+9\\Now,\\As\ we\ already\ know,\\No.\ of\ wagons\ in\ Station\ A\ at\ the\ beginning\\ +No.\ of\ wagons\ in\ Station\ B\ at\ the\ beginning=135\\Hence,\\x+y=135\\y=(135-x)\\Hence,\\The\ final\ number\ of\ wagons\ in\ Station\ B=y+9=(135-x)+9=(144-x)[/tex]
[tex]We\ are\ also\ given\ that,\\Final\ number\ of\ wagons\ in\ Station\ A=\frac{3}{2}* Final\ number\ of\ wagons\\ in\ Station\ B\\Hence,\\(x-9)=\frac{3}{2}*(144-x)\\By\ simplifying:\\2(x-9)=3(144-x)\\2x-18=432-3x\\3x+2x=432+18\\5x=450\\x=\frac{450}{5}=90\\Hence,\\The\ number\ of\ wagons\ on\ Station\ A\ at\ the\ beginning\ = x=90\\ The\ number\ of\ wagons\ on\ Station\ B\ at\ the\ beginning\ =y=(135-x)=(135-90)=45[/tex]
Mr Jones is 4 years older than his wife and 31 years older than his son.All three ages add up to 82 years. If Mr Jones is x years old find the value of x and find the ages of his wife and son
Answer:
So the age of Mr.Jones = 39 yrs. |
the age of his wife = 39-4 = 35 yrs.|
and the age his son = 39-31 = 8 yrs.|
Step-by-step explanation:
Let the age of Mr.Jones = x
So, the age of his wife = x-4 (wife is younger by 4 years)
and the age of his son = x-31 (son is younger by 31 years)
Sum of their ages = x + (x-4) + (x-31) = 82
= x + x - 4 + x - 31 = 82 (By removing the brackets)
= 3x - 35 = 82
= 3x = 117 (By adding 35 both the sides)
= x = [tex]\frac{117}{3}[/tex]= 39
Solve for x (PLEASE HELP!!!)
Answer:
it's answer is 2
Step-by-step explanation:
take the reference angle as 60°
base (b) = x
hypotenuse (h) = 4
Now
cos 60 ° = b / h
1/2 = x / 4
1/2 * 4 = x
Therefore x = 2
Hope it will help :)❤
pls, help me find x...
Answer:
x = 70 degrees
Step-by-step explanation:
The supplement of 105 is 75 degrees, and the other angle of the triangle is 35 degrees. So x = 180-75-35 = 70 degrees
Answer:
70
Step-by-step explanation:
please help me with this. i don't understand it.
Answer:
A. 11160 cubes B. 1395cm^3
Step-by-step explanation:
Volume= length x width x height
Its easiest to solve B. first and use it to solve A.
B. 7.5 x 12 x 15.5 = 1395cm^3 (volume of prism)
A. .5 x .5 x .5 = 1/8cm^3 (which is the volume of the cube)
1395 ÷ 1/8 = 11160
Answer:
Step-by-step explanation:
1) Rectangular prism: l = 7.5 cm ; w = 12 cm ; h = 15.5cm
Volume of rectangular prism = l * w * h
Cubes: edge = 0.5cm
Volume of cube = edge *edge * edge
Number of cubes = Volume of rectangular prism ÷ Volume of a cube
[tex]=\frac{7.5 * 12 * 15.5}{0.5*0.5*0.5}\\\\ = \frac{7.5 * 12 * 15.5*1000}{0.5 *0.5 *0.5 *1000}\\\\= \frac{75 * 12 *155 * 10}{5 * 5 * 5}\\\\= 3 * 12 * 31 * 10\\\\= 11160[/tex]
11160 cubes will fit in the prism.
2) Volume of prism = 7.5 * 12 * 15.5
= 1395 cm³
Last month, Carly paid a gas and electric bill that totaled $150. The gas portion of the bill was $30. What percent of the bill did Carly pay towards her gas? (Hint: Write a proportion and remember what percents start as!) *
30%
20%
150%
45%
ILL GIVE BRAINLYIST
Answer:
I believe its 45%
Step-by-step explanation:
what is the length of a line segment with endpoints (3,-6) and (-2,6) ?
Answer:
13
Step-by-step explanation:
Marie made the box plot below to display a set of dataWhich set of data could the box plot represent?
Answer: 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35
Step-by-step explanation: i took the diagnostic
Answer:
5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35
Step-by-step explanation:
Quadrilateral JKLM is graphed in the coordinate plane. Under which transformation
would the image of JKLM be similar to JKLM?
9514 1404 393
Answer:
A
Step-by-step explanation:
Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.
The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.