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Galina-37 [17]
3 years ago
13

Which expression has a value of 36?

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

The answer is A or C

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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}

3 0
3 years ago
Find the measure of a supplement of a 20 3/4 degrees
ki77a [65]
20 \frac{3}{4}= \frac{83}{4} \\ \\ 180^{(4}-\frac{83}{4}= \frac{720-83}{4}=\boxed{\frac{637}{4}=159 \frac{1}{4}-the \ suplement}
4 0
3 years ago
Read 2 more answers
Find the equation of a line perpendicular to -x=4-y that passes through the point (-3,8)
Wewaii [24]

9514 1404 393

Answer:

  y = -x +5

Step-by-step explanation:

Solving the given equation for y, we have ...

  y = x +4

The slope of this line is the coefficient of x: 1. The slope of the perpendicular line will be the opposite reciprocal of this: -1/1 = -1. The y-intercept of the perpendicular line can be found from ...

  b = y -mx = 8 -(-1)(-3) = 5

The perpendicular line has equation ...

  y = -x +5

8 0
2 years ago
Find the missing length. The triangles are similar.
Marina CMI [18]

Answer:

RK= 13      SK= 12

Step-by-step explanation

First, we find the missing length of RK using the given information: 65-52=13

Then we divide 65 by 13 to get a scale factor: 65/13=5

(To check, we multipuly: 13*5=65)

We then apply the scale factor to MK to find SK: 60/5=12

(To check we multipuly: 5*12=60)

We now have our answers: RK:13, SK:12

4 0
3 years ago
A cube has a side length of 20.5 cm .what is the surface area of the cube?
Nitella [24]

To sum up, we only have the length of one side.

We need to find the width of the same side. -

20.5 x 20.5 = 420.25

To get the surface area, we multiply by six.

<u>Why?</u> There are six sides on a cube.

420.25 x 6 = 2521.5

Answer: 2521.5 cm

6 0
3 years ago
Read 2 more answers
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