Answers
x = -2
y = 3
[tex]-4x-2y=2\\ -4x+y=11[/tex]
Subtract the two equations
[tex]-4x-2y-(-4x+y)=2-11[/tex]
Remove parentheses
[tex]-4x-2y+4x-y=2-11[/tex]
Cancel one variable
[tex]-2y-y=2-11[/tex]
Combine like terms
[tex]-3y=2-11[/tex]
Calculate the sum or difference
[tex]-3y=-9[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]y=\frac{-9}{-3}[/tex]
Determine the sign for multiplication or division
[tex]y=\frac{9}{3}[/tex]
Cross out the common factor
[tex]y=3[/tex]
Substitute into one of the equations
[tex]-4x+3=11[/tex]
Rearrange variables to the left side of the equation
[tex]-4x=11-3[/tex]
Calculate the sum or difference
[tex]-4x=8[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]
Cross out the common factor
[tex]x=-2[/tex]
The solution of the system is
[tex]x=-2\\ y=3[/tex]
I hope this helps you
:)
Related Questions
Which relation is also a function?
A {( 5, 8), (5, 9), (8, 9), (10, 8)}
B {( 5, 8), (7, 9), (8, 9), (10, 8)}
C {( 5, 8), (7, 9), (7, 5), (10, 8)}
Answers
Vic's favorite cookie recipe uses 250 grams of flour for every 170 grams of butter. Imani made cookies using 750 grams of flour for every 630 grams of butter. What will Vic think of the amount of butter in Imani's cookies?
Answers
Vic's cookies having a ratio of flour to butter of 250/170 contains less
butter than Imani's cookies, 750/630, what Vic will think is therefore;
(A) Imani's cookies have too much butter
Which method can be used to evaluate the cookies?
The quantity of flour per 170 grams of butter in Vic's cookies = 250 grams
The amount of flour Imani uses for every 630 grams of butter = 750 grams
Required:
What Vic will think about the amount of butter in Imani's cookies
Solution;
[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Vic's \ cookies = \dfrac{170 \, g}{250 \, g} = \dfrac{17}{25} = \mathbf{0.68}[/tex]
[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Imani's\ cookies = \dfrac{630\, g}{750\, g} = \dfrac{17}{25} = \mathbf{0.84}[/tex]
Imani's cookies contains more cookies than Vic's cookies, what Vic will
think of the amount of butter in Imani's cookies is therefore;
(A) Imani's cookies have too much butter
Learn more about fractions here:
https://brainly.com/question/24378782
Answer:
Step-by-step explanation:
the answer is A ^^
2 MULTIPLE CHOICES! 75 POINTS!!! EASY!!
Match the graph with the correct equation
----------------------------------
2. A. Y = X - 3
B. Y = X + 3
-------------------------------
3. A. Y = 3X + 1
B . Y = 1X + 3
-------------------------------
4. A. Y= -3X - 3
B. Y= 3X - 3
------------------------------------------------------------------------------------------------------------------------------
Please try you're best to earn the points, do NOT guess.
Thanks!
There is only 2,3,4 meaning i already did 1. please DO answer them
Thanks again!
Answers
Answer:
Step-by-step explanation:
A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the cam contain ?
Answers
Answer:
1.5 pints.
Step-by-step explanation:
Solution,
Given,
1 cup = 8 oz.
2 cup = 1 pint.
So,
24 oz = 1 cup / 8 = 3 cup.
Then,
We have,
3 cup = 1 pint / 2 cups = 1.5 pints.
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of \$100$100dollar sign, 100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 300030003000 meters above the base of the mountain, is \$400$400dollar sign, 400.
Answers
Complete question :
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 dollars, in addition to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400 dollars. Let F(d) denote the fee of a trip F (measured in dollars) as a function of the vertical distance climbed d (measured in meters). Write the function's formula.
Answer:
F(d) = $100 + $0.1d
Step-by-step explanation:
Given the following :
Total Cost of mountain climbing :
Initial fee + constant fee per vertical meter climbed
Initial fee = $100
Total cost of climbing the Shira volcanic cone = $400
Height of Shira volcanic cone = 3000 m
The fee of a trip ; F(d) ; where d = distance
Let constant fee per vertical meter = p
F(d) = $100 + 3000 * p
$400 = $100 + 3000p
$400 - $100 = 3000p
$300 = 3000p
p = 300/3000
p = $0.10
Hence, the fee for a trip:
F(d) = $100 + $0.1d
Answer:
y=100+0.1x
Step-by-step explanation:
khan academy
What is the mode?
7, 6, 7, 7, 5, 3, 6, 5
TYPE ONLY THE NUMERIC ANSWER
Answers
Answer:
7
Step-by-step explanation:
5, 5, 6, 7, 7, 7
7 appears the most
Answer:
The mode is 7
Step-by-step explanation:
Add all of these numbers and divide it by 8 to get 7
1. 1. Under a dilation
of scale factor 2 with the center at the origin, if S (6, 7), what will
be the coordinates of the point S'?
2. What is the scale factor of the group dilation (with center at the origin) if point E (5,3)
becomes E' (15,9)?
3. Under a dilation of scale factor 5 with the center at the origin, if M (3,6), what will be
the coordinates of the point M'?
4. What is the scale factor of the dilation (with center at the origin) if point H (4,6)
becomes H' (24, 36)?
5. Under a dilation of scale factor 4 with the center at the origin, if J (2, 3), what will be
the coordinates of the point J'?
6. What is the scale factor of the dilation (with center at the origin) if point U (5,7)
becomes U' (25, 35)?
7. Under a dilation of scale factor 7 with the center at the origin, if K (5,6), what will be
the coordinates of the point K'?
8. What is the scale factor of the dilation (with center at the origin) if point A (4,5)
becomes A' (16, 20)?
Answers
2: 3
3:(15,30)
4: 6
5(8,12)
6:5
7:(35,42)
8:;
what is 9d + 6e in common factor for?
Sorry the picture is small you might have to zoom in!!
Answers
Hello !
________
[tex]\sf{9d \: + \: 6e}[/tex]
________
[tex]\sf{Rewrite \: as:}[/tex]
[tex]\sf{= 3 \: ^. \: 3d \: 3 \: ^. \: 23e}[/tex]
[tex]\sf{Factor \: out \: common \: term \: 3}[/tex]
[tex]\sf{= 3(3d \: + 2e)}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Dollixna ~
please help im gonna fail ):
Answers
Step-by-step explanation:
the answer is the f^-2(x)=2x+2
over
4
Answer:
the last one
Step-by-step explanation:
do you need an explanation?
Which choices are equivalent to the expression below? Check all that apply. 3√6 A. √27•√2 B. √18 C. 54 D. √54 E. √27•√4 F. √9•√6
Answers
Answer:
A, D and F
Step-by-step explanation:
3√6 = √3^2*6
3√6 = √54
Applicable answers
A. √54 = √27*2 = √27 * √2
D. 3√6 = √54
F. √54 = √9*6 = √9 * √6
Please Helpppppppppppppp!!!!
Answers
Answer:
(x - 36) is the measure of the angle A
Step-by-step explanation:
Best answer gets brainliest!!!
1. In the following pictograph, how many symbols would you use to represent 21 books?
a.7
b.3.5
c.126
d.63
Answers
Answer:
B
Step-by-step explanation:
Since 3 symbols represent 18 books, half of the symbol is 3. 18+3=21
El radio medio de la Luna es 1737 km, el de la Tierra es de 6,371 · 106 m, y el del Sol es de 6,96 · 105 km. a. ¿Cuántas veces es mayor el radio de la Tierra que el de la Luna? b. ¿Cuántas veces es mayor el diámetro del Sol que de la Tierra? c. ¿Cuántas veces es mayor el diámetro del Sol que el de la Luna?
Answers
Answer:
a) El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.
b) El radio del Sol es 109.245 veces mayor que el radio de la Tierra.
c) El radio del Sol es 400.711 veces mayor que el radio de la Luna.
Step-by-step explanation:
a) ¿Cuántas veces es mayor el radio de la Tierra que el de la Luna?
En esta pregunta nos piden la razón del radio medio de la Tierra al radio medio de la Luna. Las unidades están en kilómetros:
[tex]r = \frac{6.371\times 10^{3}\,km}{1.737\times 10^{3}\,km}[/tex]
[tex]r = 3.668[/tex]
El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.
b) ¿Cuántas veces es mayor el diámetro del Sol que de la Tierra?
El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón, definida en este caso como la razón del radio medio del Sol al radio medio de la Tierra. Las unidades están dadas en kilómetros:
[tex]r= \frac{6.96\times 10^{5}\,km}{6.371\times 10^{3}\,km}[/tex]
[tex]r = 109.245[/tex]
El radio del Sol es 109.245 veces mayor que el radio de la Tierra.
c) ¿Cuántas veces es mayor el diámetro del Sol que el de la Luna?
El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón. Una forma sintética de obtener la razón consiste en obtener el producto de las razones encontradas en a) y b). Es decir:
[tex]r = 3.668\times 109.245[/tex]
[tex]r = 400.711[/tex]
El radio del Sol es 400.711 veces mayor que el radio de la Luna.
On a plane, 2/5 of the passengers were British. 30% of the British passengers were men. There were 36 British men on the plane. Find the total number of passengers on the plane
Answers
Answer:
76 passengers
Step-by-step explanation:
100-36 is 64 and that makes 64 + 36 =100-30 is 70% and we have 36 + 40 =76
There were 300 passengers.
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
Given:
Fraction of British = 2/5
Percent of British men = 30%
Number of British men = 36
let the British passenger be x
30 /100 * x= 36
x=120
and let the total passenger by y
2/5 of y = 120
y= 120 * 5/2
x= 300
Hence, there were 300 passengers.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ5
PLEASE HELP picture below
Answers
Answer:
12/4 is equal to 15/5
The next equality after 12/4 is 15/5.
Answer:
15
Step-by-step explanation:
12/4=3, so x/5=3.
5x3=15
What is the length of arc AB?
O 67 cm
O 127 cm
O 187 cm
O 367 cm
Answers
The length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.
What is the Length of an Arc?If we are given a circle with radius, r, and a radian angle, ∅, therefore, the length of an arc would be:
S = r∅
Given the following:
r = 18 cm∅ = π/3 radiansLength of arc = 18 × π/3 = 6π cm
In conclusion, the length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.
Learn more about length of an arc on:
https://brainly.com/question/2005046
(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 5 liters per minute. The solution is mixed well and drained at 5 liters per minute. a. Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dt, in terms of the amount of salt in the solution x and the unknown concentration of incoming brine c. dx grams/minute b. Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t. x(t)= grams c. In 10 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? C = g/L
Answers
Answer:
a. [tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]
b. [tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]
c. [tex]c = \dfrac{3}{8} \ g/L[/tex]
Step-by-step explanation:
a. The volume of water initially in the fish tank = 15 liters
The volume of brine added per minute = 5 liters per minute
The rate at which the mixture is drained = 5 liters per minute
The amount of salt in the fish tank after t minutes = x
Where the volume of water with x grams of salt = 15 liters
dx = (5·c - 5·c/3)×dt = 20/3·c = [tex]6\frac{2}{3} \cdot c \cdot dt[/tex]
[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]
b. The amount of salt, x after t minutes is given by the relation
[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]
[tex]dx = 6\frac{2}{3} \cdot c \cdot dt[/tex]
[tex]x(t) = \int\limits \, dx = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt[/tex]
[tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]
c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;
[tex]x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10[/tex]
[tex]6\frac{2}{3} \times c =\dfrac{25 \ grams }{10}[/tex]
[tex]c =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} } = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200} \ g/L = \dfrac{3}{8} \ g/L[/tex]
[tex]c = \dfrac{3}{8} \ g/L[/tex]
what is the area of this quadrilateral
giving brainliest
Answers
Answer:
A.
Step-by-step explanation:
Area of triangle is the length*width/2 => 4*4/2=8
For the 2nd triangle, we can separate it into two right triangles by cutting it down the middle. We can find the width of one triangle by taking the base of the first one we worked with and divide it by 2. 4/2 is 2. Multiply this by 3 to get the area, and divide by 2 again. 2*3/2=3. 3
So our answer is 8+3+3=14.
This quadrilateral is separated into two triangles.
[tex]\sf area \ of \ triangle = \dfrac{1}{2} * base * height[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{2} * 4 * 4 +\dfrac{1}{2} *4 * 3[/tex]
[tex]\hookrightarrow \sf14 \ cm^2[/tex]
A bag has 1 orange marble, 4 blue marbles, 3 yellow marbles, and 1
black marble. You randomly pull a marble from the bag, put it back,
and then pull out another one.
What is the probability of getting a blue and then a blue? Write your
answer as a fraction.
Answers
Answer:
4/9
Step-by-step explanation:
you know how many marbles there are in the bag so you add the number which is 9 so this shkws it will be something out of 9 since that is the total so now there are 4 blue marbles so you will just have to 4/9 I think thats how I would go on doing it.
I need help!!
I have only 5 mins
Answers
Answer:
it is 11 i believe if not sry delete my answer
Step-by-step explanation:
what is the y-inercept of the graph of f
Answers
y-intercept is where the line on your graph crosses through the y-axis
The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent. Show your work
Answers
The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent. Show your work
Answer↷79.76%
Solution↷The probability that a city bus is ready for service when needed ⇢ 84% = 0.84The probability that a city bus is ready for service and has a working radio ⇢ 67% = 0.67the probability that a bus chosen at random has a working radio given that it is ready for service⇢ 0.84/0.67 = 0.79 = 79.76 %??? help please i need to get this done
Answers
Step-by-step explanation:
Take the average of the two points that are on each side of the shapes.
--> to find the circle's number, 1+0/2 = 0.5
triangle = 3+2/2 = 2.5
star = 4+3/2 = 3.5
Which of the following represents the value of a^-4/b^-2 when a is 3 and b is 2
Answers
Let's find out
[tex]\\ \sf\longmapsto \dfrac{a^{-4}}{b^{-2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{b^2}{a^4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2^2}{3^4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{81}[/tex]
Sophia downloaded 590 vacation pictures. Of the pictures, 60% show the beach. How many pictures show the beach?
Answers
Answer:
354
Hope this helps! Please mark Brainliest!
Answer:
the answer is 354
60% = 0.6/.6
590 x .6 = 354
El ayuntamiento impone un 15% de multas retrasadas ¿Cuál será el impuesto para multas de 75€?
Answers
Answer:
75 x 0.15 = 11.25
Step-by-step explanation:
1970 Dodge challanger rt
Answers
Answer:
215 in³
Step-by-step explanation:
This is just for math problems.
The 1970 Dodge Challenger could have engines ranging from 225 cubic inches to 440 cubic inches.
What is the difference in displacement between the smallest and largest engines?
Now it's a math problem.
440 - 225 = 215
Answer: 215 in³
20 and 21 will give BRAINLIEST
Answers
Answer:
20 is 12 1/2
21 is 11 1/5
Step-by-step explanation:
Which expression is equivalent to 2(3g – 4) - (8g + 3)?
A 29 -1
B.-29 +5
C. 29 - 7
D. -29 - 11
Answers
Answer:
The Answer is D
Step-by-step explanation:
67% of students in 7th grade claim to brush their teeth twice a day. If there are
124 students in 7th grade How many brush their teeth twice a day?