Erika $21
3k of cinnamon
1g of gummies
Irene $39
3k of cinnamon
3k of gummies
c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies
Erika's Equation
3c + 1g= $21
Irene's Equation
3c + 3g= $39
Solve for one variable in equation one and substitute it in the other equation.
3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c
Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4
Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9
ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.
Hope this helps! :)
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,
r = t⁵/t⁸ = t²/t⁵
The answer, r = t⁻³.
The next three terms are,
n₄ = (t²)(t⁻³) = t⁻¹
n₅ = (t⁻¹)(t⁻³) = t⁻⁴
n₆ = (t⁻⁴)(t⁻³) = t⁻⁷
The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively.
You have a 2/6 chance of rolling <span>a number greater than 4 or less than 3 which reduces to 1/3
2/6 = 1/3</span>
Without rounding to the nearest tenth, it would be 7.28. Rounding it would give you with an answer of 7.3 with rounding.
We know that
if a <span>dilation produces a smaller figure
then
0< scale factor <1
so
case A) -2------> the scale factor must be a positive number
case B) 1/3----> 0< 1/3 <1---> i</span><span>s a possible scale factor
case C) 1------> this scale factor does not not produce a smaller figure, </span><span>it produces the same figure
case D) 4----> this scale factor produces a larger figure
the answer is
1/3</span>
