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baherus [9]
3 years ago
8

1t 4v-2.7t like term

Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
V-1.7t is in like terms
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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
Riley and Rhoda plan to buy 2 bags of dog of food and a dog collar (x). Each bag of dog food costs $7 and the dog collar costs $
Sergio [31]

Let:

T = Total money they have

Dc = Dog collar

x = Number of bags of food

\begin{gathered} 2x+Dc\le T \\ 2x+4.5\le30 \end{gathered}

Let's solve the inequality:

\begin{gathered} 2x+4.5\le30 \\ \text{subtract 4.5 from both sides:} \\ 2x+4.5-4.5\le30-4.5 \\ 2x\le25.5 \\ x\le\frac{25.5}{2} \\ x=12.75\approx12 \end{gathered}

This means that they can buy 12 bags of food at most.

Since they plan to buy 2 bags of food:

\begin{gathered} 2(7)+4.5\le30 \\ 14+4.5\le30 \\ 18.5\le30 \end{gathered}

This means they can do it and have $ 11.5 to spare

7 0
1 year ago
(12) In a relay race, Mia ran 1.43 kilometers. Then she passed the baton to Gerald, who ran an
BigorU [14]

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

3 0
3 years ago
Read 2 more answers
An item on sale costs 85% of the original price. The original price was $55.
son4ous [18]

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.

7 0
3 years ago
Given 15 cot A = 8, find sin A and sec A.​
pogonyaev

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

\sqrt{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

7 0
3 years ago
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