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:
<h3>
Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>
Step-by-step explanation:</h3>
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
___
If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
Answer:
number of girls = 90
Number of boys = 125
Number of adults = 20
Step-by-step explanation:
Total people at the summer camp= 235
Let
number of girls=x
Number of boys = x + 35
Number of adults = x - 70
Total people at the summer camp= number of girls + Number of boys + Number of adults
235 = x + (x+35) + (x - 70)
235 = x + x + 35 + x - 70
235 = 3x - 35
Add 35 to both sides
235 + 35 = 3x
270 = 3x
Divide both sides by 3
x= 270/3
= 90
x = 90
number of girls= x = 90
Number of boys = x + 35
= 90 + 35
= 125
Number of adults = x - 70
= 90 - 70
= 20
Total = 90 + 125 + 20
= 235
Answer:
Dilations produce similar figures because the image and pre-image will have congruent corresponding angles. The corresponding side lengths of the figures will be proportional based on the scale factor. The shape is preserved and the sides are enlarged or reduced by the scale factor
Step-by-step explanation:
Quantity of dolls and horses are 10 and 5 respectively .
Selling prices of dolls and horses are $7 and $ 9 respectively .
And the commission on them are $2 and $ 3 respectively .
So net price = 10*(7-2) + 5(9-3) = 10+5 + 5*6 = 50+30 = 80
So the total value of the merchandise using net realizable value is $ 80. Therefore out of the given options, correct option is the last option .