Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting
represent the number of hot dogs and
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.

The Farley family bought 3 hot dogs and 4 juices for $9.15.

Now, we subtract these equations.

Since
has reversed coefficients, it gets eliminated. Now solve for x.



NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.




= 1.65
= 1.05
represents hotdogs and
represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
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4000 is his total monthly balance.
420 + 380 = 800
800/4000 = 0.20
0.20 = 20%
He spent 20% of his monthly income on food and personal items.
Answer:
{x | x ∈ R, x > 3}
Step-by-step explanation:
We are given the following inequality:
x - 5 > -2
In order to find the solution, we have to isolate the x on one side. This can be done by adding 5 to both sides of the inequality as shown below:
x - 5 + 5 > -2 + 5
x > 3
So the solution of the inequality is set of all numbers where x > 3. This is represented by 3rd option.
So, {x | x ∈ R, x > 3} is the answer.
Answer:
Step-by-step explanation:
Edith is x years old.
Her sister,Madison is six years older than her. This means that the age of Madison is x + 6
Their mother is twice as old as Madison. This means that the age of their mother is expressed as
2(x + 6)
= 2x + 12
Their aunt, Elizabeth is x years older than their mother. This means that the expression that represents Elizabeth's age in years is
2x + 12 + x
= 3x + 12