a) your iterative rule would be: 22,28,34,40....... it is because there are 22 in first row and it is increasing by 6 at each step....
b) Now, a(n) = 100, a=22, d=28-22 = 6
we know, a(n) = a+(n-1)d
100 = 22+(n-1)6
100-22 = 6n-6
78+6 = 6n
n = 84/6
n= 14
Rework this problem: Write an equation using ???? as the length (in meters) of the rectangle that would lead to the solution of the problem. Check that the answer above is correct by substituting 18 for ???? in your equation.
Answer:
L = B + 3 ..................(1)
L × B = 270 m² .................(2)
on solving we get
L = 18 m, B = 15 m
Step-by-step explanation:
Let the length of the rectangle be L
and,
Width of the rectangle be 'B'
thus,
according to the question
L = B + 3 ..................(1)
And, area of the rectangle = 270 m²
also,
Area of the rectangle = L × B = 270 m² ...........(2)
on substituting 'L' from equation 1 in equation 2, we get
( B + 3 ) × B = 270
or
B² + 3B - 270 = 0
or
B² + 18B - 15B - 270 = 0
or
B( B + 18 ) - 15(B + 18) = 0
or
( B - 15 ) × ( B + 18 ) = 0
thus, we get
B = 15 m (accepted ) and B = -18 m (neglected : since the length cannot be negative)
therefore,
From 1, we get
L = 15 + 3 = 18 m
Answer: 8 11/12
Step-by-step explanation:
3 1/6+ 5 3/4
19/6+ 23/4
38/12+69/12
107/12
8 11/12
To solve this problem, you must understand what is the Common Denominator Rule:
The Common Denominator rule is when you use the common factors of the denominators to make them the same number. This will allow you to add and subtract fractions.
First, let’s put these two mixed fractions as improper fractions. Learn more about making that conversion here: brainly.com/question/35061276
Now that you have your fractions, look at the denominators: 6 and 4.
A common factor between 4 and 6 is the number 12. Multiply the denominators and numerators of each fraction by the number that will turn the denominator into 12:
=
=
Now that both factions have the same number in the denominator, you can add them together!
*be aware of the negative sign*
Your answer should be:
Answer:
$10.5
Step-by-step explanation:
Given data
Total amount=$30
Drink = 1/5*30= $6
Ticket= 45% of 30
=45/100*30
=0.45*30
=$13.5
The remainder is for food
=30-6-13.5
=$10.5