Answer:
The answer to your question is the height of the lamp is 18.2 ft
Step-by-step explanation:
Data
Street lamp shadow = 31.5 ft
Street sign height = 8 ft
Street sign shadow = 14 ft
Street lamp height = x
Process
1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.
Street lamp height/street lamp shadow = street sign height/street sign
shadow
Substitution
x / 31.5 = 8 / 14
Solve for x
x = (31.5)(8) / 14
Simplification
x = 254.4 / 14
Result
x = 18.2 ft
<span>Carly needs to deposit $350 into the savings account per month over the next 3 years to be able to pay for her first year of college</span>
Answer:
Angle PQW is equal to 35 degrees
Step-by-step explanation:
Angle PQW = 36x - 1
Angle WQR = 134x
Angle PQR = 169 degrees
To find angle PQW, Set Angles PQR and WQR to PQW. The equation should look like this:
PQR - WQR = PQW
Substitute in the values
169 - 134x = 36x - 1
Now add 134x to both sides and add 1 to both sides.
170 = 170x
Now divide 170 from both sides
x = 1
Plug x into angle PQW
36(1) - 1 = 35
Answer:
- 270 tickets were sold
- not needed: books per player, tickets per book
Step-by-step explanation:
To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:
(total revenue)/(revenue/ticket) = total tickets
$810/$3 = 270 . . . total tickets
__
None of the other numbers in the problem are needed: books per player (1), tickets per book (10).
The second question:
Consider the division expression
. Select all multiplication equations that correspond to this division expression.


Answer:
1. See Explanation
2.
and 
Step-by-step explanation:
Solving (a):
Given


Required
Interpret
in 2 ways
<u>Interpretation 1:</u> Number of groups if there are 5 students in each
<u>Interpretation 2:</u> Number of students in each group if there are 5 groups
<u>Solving the quotient</u>


<u>For Interpretation 1:</u>
The quotient means: 12 groups
<u>For Interpretation 2:</u>
The quotient means: 12 students
Solving (b):
Given

Required
Select all equivalent multiplication equations
Let ? be the quotient of t 
So, we have:

Multiply through by 2


Rewrite as:
--- This is 1 equivalent expression
Apply commutative law of addition:
--- This is another equivalent expression