Answer:
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:
x: precio de 1 kg de tomate.y: precio de 1 kg de frijol.Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130
El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y ya conocido.
En este caso, en primer lugar despejas x de la segunda ecuación:
x= 85 -3*y
Reemplazando en la primer ecuación:
4*(85-3*y) +2*y=130
y resolviendo obtienes:
4*85 -4*3*y + 2*y=130
340 - 12*y + 2*y=130
-12*y + 2*y=130-340
-10*y=-210
y=(-210)÷(-10)
y=21
Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:
x=85 - 3*21
x=85 - 63
x=22
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol se debe realizar el siguiente cálculo:
4T + 2F = 130T + 3F = 85T = 85 - 3F4 x (85 - 3F) + 2F = 130340 - 12F + 2F = 130-10F = 130 - 340-10F = -210F = -210 / -10F = 21T + 3 x 21 = 85T = 85 - 63T = 22Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
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Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
2 cups of peanut butter
Step-by-step explanation:
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
From the above question:
1/2 cup of oil = 1 cup of peanut butter
1 cup of oil = x
Cross Multiply
1/2x = 1 × 1
x = 1 ÷ 1/2
x = 1 × 2/1
x = 2 cups of peanut butter.
Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.
You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?
Answer:
132 gStep-by-step explanation:
Initial amount = 2112 gTime = 188 daysHalf-life = 47 days188 days / 47 days = 4 periods
Mercury left after 188 days:
2112 * (1/2)^4 = 2112* 1/16 =2112/16 =132 gBrianna spent $15.00fot 6 two-litter sodas for a football game this weekend. What is the number of soda bottles that could be bought for $55.00
Answer:
22
Step-by-step explanation:
1. Divide $15 by 6 first to get the unit price per bottle.
$15/6= $2.50
2. Now divide the new dollar amount by the unit price.
$55.00/2.50 = 22
I NEED ANSWERS NOW TAKING AN IMPORTANT TEST ILL GIVE AND ONE BRAINLIEST
Which linear function represents the table?
A) y=7x-7
B) y=7x+7
C) y=-7x+7
D) y=-7x-7
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both [tex]\sqrt{2}[/tex]. Then you find the angle given the cos using: cos(∅)=[tex]\frac{u*v}{|u|*|v|}[/tex] = [tex]\frac{0}{\sqrt{2}*\sqrt{2} }[/tex] = 0. Then using ∅=acos(0)=[tex]\frac{\pi }{2}[/tex] = 90°
Answer:
c
Step-by-step explanation:
edge
can someone plz help me answer this asap
due today plz
8+x−6−5=8x+1−3x
Find DE
13x-37
2x+13
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = [tex]\frac{1}{2}\text{AB}[/tex]
(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
What is the answer to 6+(-2)
Answer:
That expression is the same with
6 -2
This equals 4
Hope this helped!
Please do mark as brainliest
What is the slope of a line parallel to the line whose equation is 9x-3y=-54
Answer:
21
Step-by-step explanation:
subtract 9 on both sides to make your x axis by itself
y=mx+b
since -3y and -63 will cancel out each other and make a positive when you divide
-3y /63
y=21
also your when the x is alone it is always 1
rise
-------
run
What is the slope?
(4,10) (5,13)
I need help with this 70―10=―10+40
Answer:
I got 90
Please correct me If I am wrong Please and Thank You
Step-by-step explanation:
Combine like terms 70 and 10 which will be 60
and Combine like terms and you get 30
Then you add 60+30= 90
Answer: 60=30
Step-by-step explanation:
70-10= -40=10
60 = 30
Can you help me solve this
MAX is equiangular. m
Answer:
x = 8
Step-by-step explanation:
If equiangular, than all angles are equal
Thus, we have that;
7x + 4 = 12x-36
12x-7x = 36 + 4
5x = 40
x = 40/5
x= 8
I need help I don’t understand this :)
Answer:
Answer
Step-by-step explanation:
OK, there are 360 students in the whole school and 15 classes there, too.
Each class has an EVEN amount of students, so simply, all you need to do is divide (360 divided by 15)
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answer:
1. KJL=55 JLK=55 JKL=70
2. x=12 (you can just plug X in and get the angle measures they will all equal 180 alltogether)
3. x=2
4. x=7
5. 23 degrees
6. i dont remember how to do i sorry
7. 20
8. 45 degrees
9. i dont know
10. 120 degrees
11. cant see the picture
Professor Walter precisa pintar uma quadra, que tem o formato retangular, cujo comprimento é de 45 m por 38 m. Para isso ele vai comprar baldes de tinta em uma loja de construção. Sabendo que com cada balde de tinta ele conseguirá pintar 72 m² de piso, quantos baldes de tinta ele precisará comprar
Answer:
24 buckets
Step-by-step explanation:
Given that :
Dimension of rectangular block = 45 m by 38 m
A bucket of paint will cover 72m² of floor
Total area of floor : Length * Width
Total Area = (45m * 38m) = 1710 m²
Buckets of paint required :
Total area / Area per bucket
= 1710m² / 72m²
= 23.75 buckets
= 24 buckets
2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4
Answer:
would not be helpful to anser nowww... sory!
Step-by-step explanation:
Which of the following statements must be true about this diagram? Check
all that apply
A. W>y
B. y+z=w
C. X+ y = z
D. z>x
E.w>x
F.x+y=w
tell whether each point is on the graph of f(x)=|x|.If it is, give the coordinates of another point with the same y value.
1.(11,11)
2.(-2.3,-2.3)
3.(0,1)
4.(15,-15)
5.(-8,8)
6.(1,0)
The coordinates of that other point are: (5,5) . The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis.
What is meant by coordinates?The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis. Another name for the x-coordinate is abscissa. The y-coordinate indicates how far a point is from the x-axis, or the horizontal axis. The y-coordinate is also called the ordinate.
Notice that |x| means the absolute value of x. So, the function:
f(x) = IxI
takes x to the number with the same magnitude, but with a positive sign.
Thus,
f(-5) = I - 5I = 5
Therefore, the point (-5,5) is on the graph of f(x).
Now, we need to find another point with a y-value of 5.
Observe the graph of f(x):
Notice that another point with a y-value equal to 5 is (5, 5) because
f(5) = I5I = 5
Hence, the coordinates of that other point are: (5,5).
The complete question is : Tell whether the point (-5,5) is on the graph of f(x) = |x|. If it is, give the coordinates of another point with the same y-value.
To learn more about coordinates refer to:
https://brainly.com/question/11337174
#SPJ2
PKS HELP
find the slope of : a(-2,-4) B(2,4)
Answer: undefined
Step-by-step explanation:
a system of equations graphed on the grid
which systems of equations does the graph represent
does the point (1,4) satisfy the equation y=x
Solve the equation. Show work on scratch paper. 20=10+2(x−4)
Answer:
x = 9
Step-by-step explanation:
20 = 10 +2(x - 4)
10 + 2(x -4) = 20 {Use distributive property}
10 + 2x - 2*4 = 20
10 + 2x - 8 = 20 {add like terms}
2x + 2 = 20
2x = 20 - 2
2x = 18
x = 18/2
x = 9
The coordinate points below show part of the data collected by the cell phone company, where x is age in years and y is texting speed in words per minute. (12, 16), (13, 18), (13, 10), (14, 16), (15, 9), (15, 8), (16, 17), (17, 23) If this data was plotted on a scatterplot, would there be a relationship between the variables? If yes, explain the relationship.
Answer:
No, there is no clear relationship between age and texting speed.
Step-by-step explanation:
i already did it
Answer:
D
Step-by-step explanation:
i took the test, and the answer is right
Consider the equations: y = 2x − 3 and y = −x + 6.
Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
A) (0, −3)
B) (1, −1)
C) (2, 1)
D) (3, 3)
Answer:
D
Step-by-step explanation:
I got that but hopefully, I'm correct. But I'm 100% sure its d
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year. If no deposits or withdrawals are made during the year, how much money will be in her account after one year?
Answer:
FV= $1,545
Step-by-step explanation:
Giving the following information:
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year.
To calculate the nominal value of the account after one year, we need to use the following formula:
FV= (P*r*t) + P
FV= future value
P= principal
r= interest rate
t= 1
FV= (1,500*0.03*1) + 1,500
FV= $1,545
Three pounds of bananas weigh $1.89. How much is it for 5 lbs of bananas
Answer:
The correct answer is $3.15
Step-by-step explanation:
To find the answer you do $1.89 divided by 3 to find the unit rate,which is 63 cents. Then you do 5 times 63 cents to equal $3.15.
HAVE A GOOD DAY!
i don’t understand :(
Answer:
The quotient when [tex]x^3-4x^2-8x+8[/tex] is divided by [tex]x+2[/tex] is [tex]x^2-6x+4[/tex] with no remainder, so x+2 is a factor of p(x).
Step-by-step explanation:
As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form [tex](x-a)[/tex]. In this case, we may use synthetic division, since [tex]x+2[/tex] is equal to [tex]x-(-2)[/tex]. I will use synthetic division here as it is slightly faster than long division.
The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.
The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.
Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.
This is the answer: the quotient is [tex]x^2-6x+4[/tex], and the remainder is zero (which indicates that x+2 is a factor of p(x)).
--
Edit: long division
We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since [tex]x \times x^2[/tex] is equal to [tex]x^3[/tex], the first term in the quotient will be [tex]x^2[/tex]. Since [tex]x^2 \times (x+2)[/tex] is equal to [tex]x^3+2x^2[/tex], we must now subtract that from [tex]x^3-4x^2-8x+8[/tex].
We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.
I know this might be difficult to follow, so please comment if you have any questions.
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
Please give the explanation for all three parts. Will provide brainly. No fakes or will get reported. Thanks
Why is ADEC a trapezoid?
A trapezoid is a quadrilateral with one pair of parallel sides. Since D and E are midpoints, it would be parallel to AC. AD and EC are not parallel since they cross each other at point B.
(I couldn't read the last part of the second question :( )