Answer:
The length of the curtain is 10.625 feet
Step-by-step explanation:
The length of the curtain to cover one side of the room depends on the shape of the room
Given a room shape of a square, we have;
Perimeter = 4 × Side length of the room
Length of the curtain = Side length of the room
Therefore;
Perimeter = 4 × Length of the curtain
42.5 feet = 4 × Length of the curtain
Length of the curtain = (42.5 feet)/4 = 10.625 feet
The length of the curtain = 10.625 feet.
Answer:
750
Step-by-step explanation:
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form:
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:

Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:

Answer:
the number of cakes sell is 5
Step-by-step explanation:
The computation of the number of cakes sold is shown below;
Let us assume
The cake be C
And, the pie cost be P
Given that
There is two types of baked goods sold
The cost of the cake is $4
And, the cost of the pie cost is $64
Now the store sold 9 baked goods for a total of $44
So, the equation would be
C + P = 9
P = 9 - C ...... (1)
4C + 6P = 44............(2)
Now put the value of P in equation 2
4C + 6(9 - C) = 44
4C + 54 - 6C = 44
-2C = -10
C = 5
And, P = 4
hence, the number of cakes sell is 5
Answer:
The equation that represents the number of tickets that Josiah can buy with $45.50
3 + 8.50x = 45.50
The number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
Step-by-step explanation:
Let the number of tickets be represented by x
Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online.
The equation that represents the number of tickets that Josiah can buy with $45.50
$3 + $8.50 × x = $45.50
3 + 8.50x = 45.50
Solving further for x
3 + 8.50x = 45.50
8.50x = 45.50 - 3
8.50x = 42.50
x = 42.50/8.50
x = 5
Hence, the number of number of tickets that Josiah can buy with $45.50 is 5 ticketa