5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)
Answers
Answer:
La fracción de bombones que se comieron entre los dos es
La caja tenía 40 bombones.
Step-by-step explanation:
Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:
Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.
En este caso, el mcm entre 5 y 2 es 10.
Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:
- 10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.
- 10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.
Entonces:
Ahora simplemente sumas los denominadores:
La fracción de bombones que se comieron entre los dos es
Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:
Restando de manera similar al procedimiento usado para la suma se obtiene:
Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12 bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?
cantidad total de bombones=40
La caja tenía 40 bombones.
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PLEASE HELP ASAP!!If f(x) = 2x+3 and g(x) = x^2+x/2 - 7 then find (f+g)(x)
Answers
The dimensions of the rectangle are 9x + 2y units and 9x - 2y units.
What is the area of the rectangle?
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
To determine the dimensions of the rectangle, we need to factor the area expression completely. We can use the difference of squares formula to do this. The formula is:
a2 - b2 = (a + b)(a - b)
We are given that;
Area of rectangle= (81x2 − 4y2) square units.
Now,
We can identify that 81x2 and 4y2 are both perfect squares. The square roots of them are 9x and 2y respectively. So we can rewrite the area expression as:
81x2 - 4y2 = (9x)2 - (2y)2
Using the difference of squares formula, we can factor this expression as:
(9x)2 - (2y)2 = (9x + 2y)(9x - 2y)
We can check this by multiplying them and getting back the original area expression.
(9x + 2y)(9x - 2y) = 81x2 - 18xy + 18xy - 4y2 (9x + 2y)(9x - 2y) = 81x2 - 4y2
Therefore, by the given area the answer will be 9x + 2y units and 9x - 2y units.
Learn more about the area;
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if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)
But the sides may also be and an other expression....
Answers
Therefore each song costs $20/16 = $5/4 = $1.25
So:
2 songs would cost 2 * $1.25
3 songs would cost 3 * $1.25
...
x songs would cost x * $1.25
Since Renata started with $20, then her balance (y) after buying x songs would be:
y = 20 - 1.25*x
The equation that represents the relationship between the remaining balance and the number of songs purchased is y = $20 - $1.25x.
What is the equation?
The first step is to determine the cost of one song.
Cost of one song = $20 / 16 = $1.25
Remaining balance = value of the gift card - (number of songs purchased x cost of one song)
y = $20 - $1.25x
To learn more about mathematical equations, please check: brainly.com/question/26427570
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Answers
Answer:
Step-by-step explanation:
So, we know that Jolene bought an initial $750.
We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.
So, we can use the compound interest formula, which is:
Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.
So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:
Add:
Since the stock was bought 3 years ago, the value now is t=3. So, substitute 3 for t and evaluate:
Evaluate. Use a calculator:
And we're done!
Formula: A = P(1 + r/n)^t
We have these variables:
P = 750
r/n = 0.055
t = 3
Substitute and simplify:
A = 750(1 + 0.055)^3
A = 750(1.055)^3
A = 880.68
Best of Luck!
Answers
-4x -4x
3=5x-4
+4 +4
5x=7
x= 7/5
Answers
Answer:
30?
Step-by-step explanation:
x=2x-30
+30. +30
x+30=2x
-x. -x
30=x
You can double check the work...It fits in!
2(30)-30 = 30
60-30=30
g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2
Answers
The function that is based on the translation is g(x) = (x + 5)^2
How to determine the translation?
The function f(x) is given as:
f(x) = (x + 7)^2
The function f(x) is translated 2 units right to get function g(x)
This means that:
g(x) = f(x - 2)
So, we have:
f(x - 2) = (x -2 + 7)^2
Evaluate
f(x - 2) = (x + 5)^2
This gives
g(x) = (x + 5)^2
Hence, the function that is based on the translation is g(x) = (x + 5)^2
Read more about translation at:
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Your Answer: G(x) = (x − 5)²
I just finished my semester exam, and this was one of the questions. I guessed on this question because I had no clue of what the answer was, and lucky me, I got the question right :D
Hope this helps y'all with your test :)