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emmainna [20.7K]
3 years ago
15

Evie and her father are comparing their ages. At the current time, Evie's father is 36 years older than her. Theee years from no

w, Evie's father will be five times her age at that point. How old is Evie now?
Mathematics
1 answer:
artcher [175]3 years ago
7 0
Let F be the father's current age, and E be Evie's current age.
F = E + 36                 this is the current relation between the ages
F + 3 = 5(E + 3)        this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
         E + 39 =  5E + 15
                24 = 4E
                  6 = E
Evie's current age is 6.
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Finger [1]

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

y = 3x

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

x \geq 0

Assume x = 1

y = 3 * 1 = 3

Assume x = 4

y=3*4 = 12

Assume x = 6

y=3*6 = 18

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

4 0
2 years ago
Se realizó una encuesta a 10 niños sobre su preferencia en el sabor del pastel. Fresa 20% chocolate 50% y vainilla 30%. Cuál es
dangina [55]

Answer:

a) ¿Cuál es el sabor favorito de los niños?

Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 1.5

2) 35% = 3.5

3) 50% = = 5

Step-by-step explanation:

Se encuestó a 10 niños sobre su preferencia por el sabor del pastel. Fresa 20%

Chocolate 50%

Vainilla 30%.

a) ¿Cuál es el sabor favorito de los niños?

El sabor favorito de los niños es el sabor con mayor porcentaje = Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

El sabor que menos les gusta a los niños es el sabor con el menor porcentaje = Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 15% × 10 = 1,5

2) 35% = 35% × 10 = 3,5

3) 50% = 50% × 10 = 5

6 0
2 years ago
What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
-BARSIC- [3]

Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.

For the given function, there is no horizontal asymptote.

We can find the slant asymptote by using long division:

(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))

The slant asymptote is y=3/2x+3/4

6 0
3 years ago
Read 2 more answers
Help please guys I need help with this question I'm stuck
Dimas [21]
Here you go !!!
Hope this helps

3 0
2 years ago
If EFGH is a rectangle, what is FH?
lys-0071 [83]
I believe FH would be a line segment.
Hope this helps!
3 0
3 years ago
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