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2 years ago

It takes 45 minutes to drive to the nearest bowling alley taking city streets going

Mathematics

1 answer:

Savatey [412]2 years ago

7 0

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

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Which pairs of angles in the figure below are vertical angles?

ch4aika [34]

Answer: Option A and Option C.

Step-by-step explanation:

For this exercise it is important to know the definition of "Vertical Angles".

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By definition, Vertical angles are congruent, which means that the have the equal measure.

In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

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2 years ago

Jana is prescribed 250 mg of medication. Seventy-five percent of the medication remains in her body after each hour, h, accordin

SOVA2 [1]

Jana was prescribed medication. m = 250(0.75)^h

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m=250(0.75)^(h-6)

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Same with Jana, Allison's medication content in her body will decrease by 25% after each hour.

Let h = 6

Jana: m = 250(0.75)^6 = 250(0.178) = 44.50
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On hour 6, Allison will have 205.5 mg more of the medicine than Jana.

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1 year ago

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The line with the equation 4/5x +1/3y=1 is graphed one the xy-plane. What is the x-coordinate of the x-intercept of the line?

leva [86]

Answer:

x = 4/5

Step-by-step explanation:

The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis. If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:

(4/5)x + (1/3)(0) =1

Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).

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2 years ago

You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week

tresset_1 [31]

Option b) 1960 is the total number of hours the electrician worked.

Step-by-step explanation:

It is given that, the full-time electrician will work 40 hours per week.

So, we need to know the total number of hours he could work in twelve months which is one year.

Therefore, one year has a total of 365 days.

To find the number of weeks in twelve months :

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⇒ 365 / 7

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Now, of this 52 weeks, the three weeks are given as vacation.

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Therefore, the total number of hours the electrician worked is 1960 hours which is option b).

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2 years ago

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