Answer:
B. 47
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 =3 (it is the first term)
We can find the common difference by taking the second term and subtracting the first term
5-3 =2
d=2
n = the term number we are looking for
an = 3 + 2(n-1)
We are looking for the 23rd term so n=23
a23 = 3 +2(23-1)
= 3 +2(22)
= 3+44
= 47
Answer:
9. C. division
10. D. addition
Step-by-step explanation:
When solving for X the goal is to get it all by itself on one side of the equation and to do that you have to undo the operations already in effect on it. In number 9 the x is multiplied by 3 so to undo that you would need to divide by 3 and that would cancel out leaving the x by itself. Then you would need to divide by 3 on the other side of the equation also to keep it balenced. In number 10 the X is connected to the 10 through subtraction so to cancel that out you would subtract 10 from both sides to get the X alone.
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
La razón entre el número de gallinas y el total de animales es: 
Step-by-step explanation:
La razón es una comparación entre dos magnitudes comparables.
En otras palabras, la razón es el cociente entre dos números o dos cantidades comparables entre sí, expresado como fracción.
En este caso, la cantidad total de animales es la suma de la cantidad de conejos y la cantidad de gallinas:
2 conejos + 5 gallinas= 7 animales
Entonces la razón entre el número de gallinas y el total de animales es: 
Answer:
Option A is correct
reflection across the x-axis
Step-by-step explanation:
The rule for reflection across x-axis is given by:

As per the statement:
The coordinate of triangle ABC are:
A(−4,−3) , B(−7,1) and C(−1,−1).
The coordinate of triangle A'B'C' are:
From the given diagram we have;
A'(-4, 3), B'(-7, -1) and C'(-1, 1)
Apply the rule of reflection across x-axis on ABC we have;



Therefore, the reflection results in the transformation of △ABC to △A'B'C' is, reflection across the x-axis