Answer:
Sofia is correct.
Step-by-step explanation:
Mark's statement depends on the starting point. He can be correct if they started at the 0 mile, but in this case we don't know where they started. They could had started at the 12 mile and their current position after the walking would be 16 miles.
On the other hand, Sofia's statement doesn't depend on where they started. She refers to how much they walked, not to where they are after the walking. Since they stopped after 4 non-stopping miles, their displacement was exactly 4 miles. So Sofia is correct.
Answer: a. Total cost = 3g+2
b. The total cost of 8 games is $26.
Step-by-step explanation:
Given: Cost to bowl a game = $3
Shoe rental charge = $2 (One -time charge)
Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )
Let g= number of games, then the expression to find the total cost will be :
Total cost = 3g+2
To find the total cost of 8 games, put g=8, we get
Total cost = 3(8)+2
= 24+2 = $26
Therefore , the total cost of 8 games is $26.
Answer:
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Step-by-step explanation:
Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.
Two algebraic expressions are said to be equivalent if their values obtained by substituting any values of the variables are same.
Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,
3f + 2.6 = 3.1 + 2.6 = 3 + 2.6 = 5.6
2f + 2.6 = 2.1 + 2.6 = 2 + 2.6 = 4.6
5.6 = 4.6
Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.
3f + 2.6 = 2f + 2.6
3f = 2f
3f - 2f = 0
f = 0
This is true only when f=0.
Hence,
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Answer: 33.041666
Step-by-step explanation:
Given: The translated equation : 
To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get
Subtract 87.5 from both the sides , we get
Now, divide 300 on both the sides, we get
