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AveGali [126]
3 years ago
5

Lois rode her bike to visit a friend. she traveled at 10 mi/h. Her friend drove her home in a car traveling at 25 mi/h. Lois too

k 1.5 hours longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friend's house?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Speed of Lois' bike = 10 miles/h

Speed of Lois' friend's car = 25 miles/h

Time taken by Lois to reach via car = t hours

Time taken by Lois to reach via bike = 1.5 + t

We know that the distance traveled in both the cases is the same

Hence, distance traveled by car = distance traveled by bike

⇒ Speed of car × time taken by car = Speed of bike × time taken by bike

⇒ 25 × t = 10 × (t+1.5)

⇒ 25t = 10t + 15

⇒ 15t = 15

⇒ t = 1

Hence, Lois took t + 1.5, i.e. 2.5 hours to reach his friend's house.

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Licemer1 [7]

Answer:

\Huge\boxed{131.88}

Step-by-step explanation:

Hello There!

First thing we want to do is find the formula for circumference of a circle

C = 2(3.14)r

where r = radius

we are given the diameter so we have to convert that into radius to do so we just divide by 2

42/2=21 so the radius equals 21 inches

now we just plug in 21 for r in the formula

C = 2(3.14)21\\2*3.14=6.28\\6.28*21=131.88\\C=131.88

So we can conclude that the circumference of the circle is 131.88 inches

3 0
3 years ago
1)) An angle measures 132° less than the measure of its supplementary angle. What is the
Alexeev081 [22]

Answer:

156° and 24°

Step-by-step explanation:

Let it's supplementary angle be x.

So, the angle = (x - 132)°

As we know, sum of supplementary angles is 180°;

x + x - 132 = 180

2x = 180 + 132

2x = 312

x = 312/2

x = 156°

(x-132)° = (156-132)° = 24°

Hence, the angles are 156° and 24°.

5 0
3 years ago
Select all the equations on which the point (10, 0) lies.
lilavasa [31]

Answer:

The answer to this problem is B, C, and E.

Step-by-step explanation:

5 0
3 years ago
7. What are the slope and y-intercept of y=3x-5?
skelet666 [1.2K]

Answer:

slope = 3

y-intercept = -5

Step-by-step explanation:

y = mx + b

m = slope; b = y-intercept

y = 3x - 5

y = 3x + (-5)

m = 3 = slope

b = -5 = y-intercept

7 0
2 years ago
Read 2 more answers
A factory can work its employees no more than 6 days a week, and no less than 2 days per
Molodets [167]

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

6 0
3 years ago
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