Answer:
-3
Step-by-step explanation:
The common ratio of a geometric sequence is the number that each term of the sequence is multiplied by. This means that the the previous term is multiplied by the common ratio to get the current term. The common ratio can also be used to create a function that can predict future terms.
To find the common ratio of this sequence, divide a term by the previous term. For example, -15/5. This gives the answer, -3. Dividing the terms allows us to figure out what factor is being multiplied by in the sequence.
Let x be the number of cases of paper towels and y be the number of cases of soap. The system of linear equation that would best represent the given is,
x + y = 10
12x + 15y = 129
The values of x and y are 7 and 3.
Sarah both 7 cases of paper towel.
It is not possible for Sarah to buy exactly 20 bottles because first of all the cases contains only 12 bottles and 20 is not divisible by 12.
5+5=10+20=30 :) that’s your answer
Answer:
6cm
Step-by-step explanation:
= 6
The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The length of a new rectangle playing field is 6 yards longer than quadruple the width.
Let's suppose the length is l and width is w of a rectangle:
From the problem:
l = 6 + 4w
Perimeter P = 2(l + w)
532 = 2(l + w)
Plug l = 6+4w in the above equation:
532 = 2(6 + 4w + w)
266 = 6 + 5w
260 = 5w
w = 52 yards
l = 6 +4(52) = 214 yards
Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
Learn more about the area of rectangle here:
brainly.com/question/15019502
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