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Svet_ta [14]
3 years ago
10

Nick O’ Time, the plumber, charges $30 per hour. His brother Ivan, the plumber’s helper, charges $20 per hour. Nick starts worki

ng on a job. Four hours later Ivan joins him and both work until the job is finished. If they make a total of $470, how long did they work together?
Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

7 hours

They worked together for 7 hours ($350 + $120)

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Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 fo
Verizon [17]

Answer:

Step-by-step explanation:

The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.

4 0
3 years ago
6/13 as a decimal rounded to the nearest thousandth
Tema [17]

Answer:

the answer will be  0.462

Step-by-step explanation:

3 0
2 years ago
susan made 4 dozen cupcakes she placed them in boxes containing 4 cupcakes and sold each box for 8.75. how much money did she ea
Natasha_Volkova [10]

Answer: Susan has 105 dollars

Step-by-step explanation:

dozen is 12, 12 times 4 is 48, 48 divided by 4 is 12, 12 times 8.75 is 105

6 0
2 years ago
I need the whole solution
ddd [48]

Confused what the question is. Are you looking for the product or the zeroes?

If you are looking for the product, then:

Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)

= sec² + sec²csc² - 1 + csc²

= sec²csc² + sec² + csc² - 1

= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)

= sec²csc²

Answer: sec²csc²

***************************************************

If you are looking for the zeroes, then:

Using the zero product property, set each factor equal to zero and solve.

<u>First factor:</u>

sec²Θ - 1 = 0

sec²Θ = 1

secΘ = 1, -1

remember that secΘ is \frac{1}{cos}

\frac{1}{cos} = 1 \frac{1}{cos} = -1

cross multiply to get:

cosΘ = 1 cosΘ = -1

use the unit circle (or a calculator) to find that Θ = 0 and π

<u>Second factor:</u>

1 - csc²Θ = 0

1 = csc²Θ

1, -1 = cscΘ

remember that cscΘ is \frac{1}{sin}

\frac{1}{sin} = 1 \frac{1}{sin} = -1

cross multiply to get:

sinΘ = 1 sinΘ = -1

use the unit circle (or a calculator) to find that Θ = \frac{\pi}{2} and \frac{3\pi}{2}

Answer: 0, π, \frac{\pi}{2} , \frac{3\pi}{2}

7 0
3 years ago
1. Given the following relation, determine the inverse relation.
gayaneshka [121]

Answer:

1. a

2. f^{-1} (x)=\frac{x}{2} +2

Step-by-step explanation:

1. Since there is one value of y for every value of x in (−1,0),(−4,5),(3,2),(−3,5), this relation is a function.

2. To find the inverse, interchange the variables and solve for y.

f^{-1} (x)=\frac{x}{2} +2

5 0
2 years ago
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