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Svetradugi [14.3K]
3 years ago
7

An insurance company looks at its auto insurance

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0
100/100 x 85/100x 23/100=
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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

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3 years ago
Choose the correct equation for the line shown on the graph
Viefleur [7K]
It would be C y=-1/4x-1
5 0
2 years ago
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A person is to install five devices each 6 7/8 inches wide with 3 1/2 inches between switches. how much space will be needed to
solong [7]
Refer to the diagram shown below.

w = 6 7/8 in = 6.875 in, the width of each device.
d = 3 1/2 in = 3.50 in, the space between teo devices.

The total space needed is
D = 4(w+d) + w
    = 5w + 4d
    = 5*6875 + 4*3.5 
D  = 48.375 in  or 48 3/8 in

Answer:  48 3/8 inches or 48.375 inches

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3 years ago
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Artyom0805 [142]
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So remember that <u>parallel lines have the same slope.</u> And since Line a's slope is 5/7, and line a and b are parallel to each other, this means that <u>line b's slope is 5/7.</u>

7 0
3 years ago
NEED HELP ASAP!!<br> BRAINLEST WILL BE THe PRIZE FOR HELPING
Alina [70]

Answer:

y=2x+2

Step-by-step explanation:

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3 years ago
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