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Yuliya22 [10]
3 years ago
15

Working together, Sam and Charlie can change all the light bulbs in the office building in 3 hours. It would have taken Charlie

8 hours to do the job alone.
A table showing Rate in part per hour, Time in hours, and Part of Light Bulbs Changed. The first row shows,Sam, and has r, 3, and r times 3. The second row shows Charlie, and has StartFraction 1 Over 8 EndFraction, 3 and StartFraction 1 Over 8 EndFraction times 3.
Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?

3r = 3 r equals StartFraction 3 Over 8 EndFraction.
3r + 3 r plus StartFraction 3 Over 8 EndFraction equals 1. = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 3 Over 8 EndFraction r equals 1.r = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 1 Over 8 EndFraction r equals 1.r = 1
Mathematics
2 answers:
Virty [35]3 years ago
6 0

Answer:

B

3r + 3/8=1

Step-by-step explanation:

EDGE

vitfil [10]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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4. In a circle, the relationship between two chords being equal in measure and being equidistant.

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5 0
3 years ago
A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E
Lina20 [59]

Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let \vec v = (25, 25\sqrt{3}), where \vec v is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (\theta), measured in sexagesimal degrees, is determined by trigonometrical means:

\theta = \tan^{-1}\frac{v_{y}}{v_{x}} (1)

If we know that v_{x} = 25 and v_{y} = 25\sqrt{3}, then the directional bearing of the boat is:

\theta = \tan^{-1} \sqrt{3}

\theta = 60^{\circ}

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

3 0
3 years ago
Read 2 more answers
You have 42 oz of egg noodles. You need 5 oz to make one serving of chicken noodle soup. How many servings can you
GenaCL600 [577]

Answer:

8 servings

Step-by-step explanation:

Take the total ounces and divide by the number of ounces per serving

42/5 =8.4

Round down since we don't want to short someone on their soup

8

4 0
3 years ago
Explain why ABC cannot be mapped onto EFG by a reflection of ABC over the -axis followed by a slide of 8 units to the left.
Kitty [74]

Answer:

It won't be the same shape and length and width I think

Step-by-step explanation:

7 0
3 years ago
-6x-14y=-20<br> -3x-7y=-10
Alex Ar [27]
ANSWER:

x = 10 / 3

y = 0

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.

Equation No. 1 -

- 6x - 14y = - 20

Equation No. 2 -

- 3x - 7y = - 10

First, we will make ( x ) the subject in the first equation and simplify accordingly.

Equation No. 1 -

- 6x - 14y = - 20

- 6x = - 20 + 14y

x = ( - 20 + 14y ) / - 6

x = ( - 10 + 7y ) / - 3

From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.

Equation No. 2 -

- 3x - 7y = - 10

- 7y = - 10 + 3x

- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]

- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]

- 7y = - 10 + ( 10 - 7y )

- 7y = - 7y

- 7y + 7y = 0

0y = 0

y = 0

Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.

x = ( - 10 + 7y ) / - 3

x = [ - 10 + 7 ( 0 ) ] / - 3

x = [ - 10 + 0 ] / - 3

x = - 10 / - 3

x = 10 / 3
6 0
3 years ago
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