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2 years ago

You have $10.00 and want to buy all of the items below. How much change

Mathematics

1 answer:

Lynna [10]2 years ago

7 0

Answer: 2.83

Step-by-step explanation:

2.66+1.85+2.66 = 7.17

10.00 - 7.17 = 2.83

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An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c

Gnoma [55]

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:

4 0

3 years ago

Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2

lbvjy [14]

Step 1:
Start by putting $\frac{d}{dx}$ in front of each term

$\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]$
-----------------------------------------------------------------------------------------------------------------
Step 2:

Deal with the terms in 'x' and the constant terms
$\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]$
----------------------------------------------------------------------------------------------------------------
Step 3:

Use the chain rule for the terms in 'y'
$\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------
Step 4:

Use the product rule on the term in 'x' and 'y'
$(y) \frac{d}{dx} cos x+(cos x) \frac{d}{dx}y =10x+6y \frac{dy}{dx}
$
$y(-siny)+(cosx) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
--------------------------------------------------------------------------------------------------------------

Step 5:

Rearrange to make $\frac{dy}{dx}$ the subject
$-y sin(y)+cos(x) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
$cos(x) \frac{dy}{dx}-6y \frac{dy}{dx}=10x+y sin(y)$
$[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)$
$\frac{dy}{dx}= \frac{10x+ysin(y)}{cos(x)-6y}$ ⇒ Final Answer

5 0

3 years ago

3) Write the operation used to obtain the types of solutions.

Alex Ar [27]

Answer:

the Sum

hope this helps

5 0

3 years ago

Read 2 more answers

Find the product of two numbers before multiplying by the next number. 25 × 3 × 2

Varvara68 [4.7K]

Answer and explanation:

25 x 3 = 75

75 x 2 = 150

I found the product of the first two numbers, then multiplied the third.

The answer is 150. Hope this helps!

5 0

3 years ago

Draw a factor tree the prime factorization of 45 and 90 in the space provided below

Ann [662]

45 90
/ \ / \
5 9 45 2
/ \ / \
3 3 5 9
5x3x3 / \
3 3
2x5x3x3

3 0

3 years ago