The answer is the third option.
The explanation is shown below:
1. You must keep on mind the information given in the exercise:
- She bough 3 pounds of coffee.
- She bought 2 pounds of chocolate.
- She spent a total of $24.
2. Therefore, you can call the price per pound of coffee
and the price per pound of chocolate
.
3. When you multiply 3 pounds by the price per pound of coffee, you obtain the amount of money she spent for 3 pounds. When you multiply 2 pounds by the price per pound of chocolate, you obtain the amount of money she spent for 2 pounds. If you add both amounts, you obtain the total spent, which was $24.
4. Therefore, you can express this as following:

Answer:
Expression
Step-by-step explanation:
Remember, an expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. An equation is a mathematical sentence that says two expressions are equal. My work don't copy®️
Answer:
x= 1/3 its a fraction but i couldnt put the answer in fraction form.
Step-by-step explanation:
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151