Answer:
see below
Step-by-step explanation:
Let r = number of rides
total amount of money spent has to be less than or equal to 50
costs are admission and food and rides
rides cost 1.50 each
50≥ admission + food + rides
50 ≥ 15 +10 + 1.50r
Combine like terms
50 ≥25 + 1.50 r
Subtract 25 from each side
50-25 ≥25-25 + 1.50 r
25 ≥ 1.50 r
Divide by 1.5 on each side
25/1.5 ≥ 1.5r/1.5
50/3 ≥ r
Changing this to a mixed number
16 2/3 ≥r
We can only take a whole number of rides
r = 16
Beverly has not spent all of her 50 dollars since there was a fraction for the rides
cost = 15 +10 + 1.50r
15+10 + 1.5*16
25+24
49
She has 1 dollar left
Answer:
TRUE
Step-by-step explanation:
We are given 2 triangles, ∆ABC and ∆DEF.
For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.
From the information given, the following are the set of corresponding angles:
<B = <E = 31°
<B = <D = 90°
<C = <F = 59° [180 - (90+31)]
The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).
Answer:
4 5/8
Step-by-step explanation:
4.625
We will take the common terms in the expressions-
Here in the expression, 3y is a common term.
So,


So, the answer is