Answer:
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
The given is:
1. An electrician earns 100 dollars for a project installing light fixtures
2. She must pay for the light fixtures herself and they cost 2 dollars
and 50 cents each
3. x represent the number of light fixtures and y represent her
total profit
Her profit is the amount of money she has left over after paying for
the light fixtures
∵ The cost of each light fixtures is 2 dollars and 50 cents
- Let us change the cents to dollar
∵ $1 = 100 cents
∴ 50 cents = dollar
∴ 2 dollars and 50 cents = $2.5
∵ Her profit = The money she earns - The money she pays
∴ The cost of each light fixtures = $2.5
∵ She installs x light fixtures
∴ She pays 2.5 x dollar
∵ She earns $ 100 for installing x light fixtures
∵ Her profit is $y
∴ y = 100 - 2.5 x
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
Let:
T = Total money they have
Dc = Dog collar
x = Number of bags of food

Let's solve the inequality:

This means that they can buy 12 bags of food at most.
Since they plan to buy 2 bags of food:

This means they can do it and have $ 11.5 to spare
Answer:
4.13
Step-by-step explanation:
To find out how many kilometres they ran in all you have to do 1.43+2.7 =4.13
Answer:
$46.75
Step-by-step explanation:
The amount the sale item costs now is 0.85($55) = $46.75.
That 85% is equivalent to 0.85.
Answer:
sin A = 15/17
sec A = 17/8
Step-by-step explanation:
15 cot A = 8
First get cot A alone.
cot A = 8 / 15
Since cot is the reciprocal of tan then flip 15 and 8.
tan A = 15 / 8
Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem
15^2 + 8^2 = 289
= 17
Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.
sin A = 15/17
cos A = 8/17
sec A = 17/8