Answer:
1 litro de leche cuesta 2.5
1 kg de jamón serrano cuesta 35
1 litro de aceite de oliva cuesta 7,5
Step-by-step explanation:
Pregunta correcta completa
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.
Solución
Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.
16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240
16x + 4y + 8z = 240 (ecuación 1)
1 litro de aceite cuesta el triple de 1 litro de leche
z = 3x (ecuación 2)
Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.
y = 5x + 3z (ecuación 3)
Sustituyendo las ecuaciones 2 y 3 en la ecuación 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recordemos que z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
English Translation
A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.
Solution
Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.
16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240
16x + 4y + 8z = 240 (eqn 1)
1 liter of oil costs the triple of 1 liter of milk
z = 3x (eqn 2)
And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil
y = 5x + 3z (eqn 3)
Substituting eqn 2 and 3 into eqn 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recall that z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
1 liter of milk costs 2.5
1 kg of Serrano ham costs 35
1 liter of olive oil costs 7.5
Hope this Helps!!!
Given the translation T(-2, 5), translate the given ordered pairs: (2, 5) and (-1, 7)
Answer:
When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)
Here whe have the translation T(-2, 5)
a) if our pair is (2, 5) then:
T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)
b) if our pair is (-1, 7)
T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)
Which numbers are the extreme of the proportion shown below?
Answer:
4,35
Step-by-step explanation:
4/7 = 20/35
Converting it into ratio form
4:7 = 20:35
The Extremes of this proportion are 4,35
While, the means of this proportion are 7, 20
Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10
Answer:
3 (negative 64 divided by 8) + 25 = 1
Step-by-step explanation:
Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20
3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1
Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3
The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25
Answer:
C
Step-by-step explanation:
i took the test
Ayuuuuuuddddaaaaaa!!!
Answer:
Los triangulos son iguales porque tienen dos lados y el angulo comprendido respectivamente iguales, por tanto
[tex]3x = x+8\\2x=8\\x=4\\[/tex]
Please help me simplify these expressions
Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3
Step-by-step explanation:
1. there is no numbers to multiply together, so just add the a's and b's
2.3 stands alone. add the m's and n's together. getting m^2 and n^5
3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3
Lmk if it helps. :)
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
So it will take the stone 1 (one) second to reach its maximum height.
Step-by-step explanation:
Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:
[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]
where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.
Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.
So it will take the stone 1 (one) second to reach its maximum height.
possible answer
5
-5
2.8
-2.8
Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720
Answer:
Step-by-step explanation:
10x^3y^2
10(-2)^3 * (-3)^2 = -720
Answer: Negative 720
Step-by-step explanation:
-2 * -2 * -2 = -8
10 * -8 = -80
-3 * -3 = 9
-80 * 9 = -720
find the smallest nom which is divisible by 4 7 8 16
Answer:
112
Step-by-step explanation:
find LCM
4,7,8,16=112
can someone answer number 10 and show the work? I really need it please
Answer:
D
Step-by-step explanation:
f(x)=(3/5)x-10
f(5)=(3/5)(5)-10=
3-10=
-7
Hope this helps!
PLEASE HELP!! if f(x)= 2x^2-11, find f(4)
Answer: f(4) = 21
Step-by-step explanation:
2(4)^2-11
4^2 = 16
2(16)-11
Multiply 2 and 16
32 - 11
Subtract
21
Answer:
21
Step-by-step explanation:
f(x)= 2x^2-11
Let x= 4
f(4)= 2*4^2-11
= 2 * 16 - 11
= 32 -11
21
. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Monday. He sold 55 pens fewer on Tuesday than on Sunday. How many pens did the retailer sell on Monday?
Answer:
The number of pens sold on Monday is 107 pens
Step-by-step explanation:
total pack of pen sold by the retailer in 3 days = 10 packs
total number of pens in the 10 packs = 48 x 10 = 480 pens
let the number of pens sold on Monday = x
let the number of pens sold on Sunday = y
let the number of pens sold on Tuesday = z
He sold twice as many pens on Sunday than on Monday
y = 2x ------equation (1)
He sold 55 pens fewer on Tuesday than on Sunday
y = z + 55 ------equation (2)
total number of pens sold in the three days
y + z + x = 480 ------equation (3)
from equation (1) make x the subject of the formula
x = y/2
from equation (2) make z the subject of the formula
z = y - 55
substitute the value of x, and z into equation (3)
y + y/2 + y - 55 = 480
2y + y/2 = 480 + 55
5y/2 = 535
5y = 535 x 2
5y = 1070
y = 1070 / 5
y = 214
The number of pens sold on Monday is:
x = y / 2
x = 214 / 2
x = 107 pens
Thus, the number of pens sold on Monday is 107 pens
3 x 1/4 what is the answer to the question?
Answer:3/4
Step-by-step explanation:
1x3=3
Answer:
I used an online calculator and I got 0.75
Step-by-step explanation:
x^4-8x^2-33-14y-y^2
Answer:
I'm glad you asked!
Step-by-step explanation:
So let's simplify the number which is all you can do .
[tex]x^{4} -8x^{2} -33-14y-y^{2}[/tex]
= [tex]x^{4} +-8x^{2} +-33+-14y+-y^{2}[/tex]
Answer:
=[tex]x^{4} -8x^{2} -y^{2} -14y+-y^{2}[/tex]
Help me please please
Answer:
1/2 = 2^-1 = 1/2
Step-by-step explanation:
The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...
[tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]
__
Additional comment
It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.
The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.
Which inequality matches the graph?
A.−3x + 2y > 7
B.3x − 2y < 7
C.−2x + 3y > 7
D.2x − 3y < 7
What is 6 divided by 2
Answer:
3
Step-by-step explanation:3x2=6
The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8? PLEASE HELP
Answer:
y= -4
Step-by-step explanation:
x+y=42. We know that x plus y equals 42.
x=2y . We also know that x equals twice y.
2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.
y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)
x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.
x=28. Now that we know that x=28 and y=14, we know that y is always x/2.
When x=-8, we divide it by 2 and get, -4.
Not absolutely positive as this was all mental math, but hope this helps! :)
The value of the variable y at x = -8, will be negative 49.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The numbers x and y are inversely proportional. Then we have
y ∝ 1/x
y = k/x ...1
When the sum of x and y is 42. Then the equation will be
x + y = 42 ...2
x is twice y. Then the equation will be
x = 2y ...3
From equations 2 and 3, we have
2y + y = 42
3y = 42
y = 14
Then the value of x will be
x = 2(14)
x = 28
Then the value of k will be
14 = k / 28
k = 392
Then the equation will be
y = 392 / x
Then the value of the variable y at x = -8, will be
y = 392 / (-8)
y = -49
Thus, the value of the variable y at x = -8, will be negative 49.
More about the ratio and the proportion link is given below.
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A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number. * A: 0.714 B:0.727 C:0.778 D:0.286
Answer:
A: 0.714
Step-by-step explanation:
four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys
3 even + 3 purple - the purple even ( no double counting) = 5
P( purple or even) = purple or even / total
= 5/7
= .71428
Find the mean absolute deviation of {16, 19, 22, 27, 33, 19, 25}.
Answer:
5.8 is what I think it is. I also got 4.6 on another calculator.
Step-by-step explanation:
I did it on math-way.
Ix
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-8)
6+(-8)
6 + 8
Answer:
6 + 8
Step-by-step explanation:
6-(-8)= 6+8
If paint cost $24 and their is a sale for the next month, and the discount is 25% off paint, how much will the paint be after if you buy it during the sale?
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
Answer:
0.62
Complete question:
What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?
Step-by-step explanation:
assuming,
A: Aya gets a coupon one day. P(A) = 0.15
B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85
Aya doesn't get a coupon in any of 6 days = P(B)^6 = 0.85^6 = 0.38
The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:
1 - P(B)^6= 1 - 0.38 = 0.62
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
359, 352, 345, ...
Find the 44th term.
Answer:
Submit Answer
attempt out of 2
(DELTAMATH VERSION)
Answer:
[tex]58[/tex]
Step-by-step explanation:
[tex]-7n+366[/tex]
[tex]-7(44)+366[/tex]
[tex]-308+366[/tex]
[tex]=58[/tex]
Is a percent a ratio?
Describe using 1 complete sentence.
Answer:
Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.
Step-by-step explanation:
i hope this is what u are looking for
True or False: Perpendicular lines sometimes meet at angles that are not 90°.True or False: Perpendicular lines sometimes meet at angles that are not 90°.
Answer:
false
Step-by-step explanation:
that is the definition of a perpendicular line
a 150 adults complete a survey 80 of them a woman what the ratio
Answer:
The number of men to number of women be 7 : 8 .
Step-by-step explanation:
Answer:
7:8
Step-by-step explanation:
HELP!!!!! Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is .
Answer:
Below in bold.
Step-by-step explanation:
9x^2 - 16
Comparing this with the standard form
ax^2 + bx + c
ac = 9*-16 = -144
b = 0
-12 and 12 multiply to get ac and add to get b.
Factored form is
(3x - 4)(3x + 4).
The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The quadratic equation is,
⇒ 9x² - 16
Now, We know that;
General form of quadratic equation is,
⇒ ax² + bx + c
Here, The quadratic equation is,
⇒ 9x² - 16
Hence, By comparing,
⇒ a = 9
⇒ b = 0
⇒ c = - 16
Thus, The value of ac is,
⇒ ac = 9 × - 16
= - 144
And, The factored form is,
⇒ 9x² - 16
⇒ (3x)² - 4²
⇒ (3x - 4) (3x + 4)
Thus, The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
Learn more about the quadratic equation visit:
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From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?
Answer:
It is expected to be at a distance of 200 ft below the sea level
Step-by-step explanation:
We are told that the sub marine has a descending rate of 40 ft per minute.
Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft
Thus, the submarine is expected to be 200ft below sea level
2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4
Answer:
I'm not sure I feel like it's A
Step-by-step explanation:
-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.
If I were you I would not trust my answer
The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The two points are:
M(-8,11) and N(3,7)
From the distance formula, we can find the distance between these two points:
Applying the distance formula:
[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]
d = √137
d = 11.7 units
Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
Learn more about the distance formula here:
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