Darius takes his family on an afternoon boat ride. Going through York Canal, he drives 5 miles in 15 minutes. Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Which statement about the distances is true?

Answers

Answer 1

Answer:

The distance traveled in the york canal is one-half the distance traveled on stover lake. The correct option is C.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that Going through York Canal, Darius drives 5 miles in 15 minutes. Therefore, the distance traveled by him in this time period is 5 miles. And his speed is,

Speed = Distance / Time

= 5 miles / 15 minutes

= (1/3) miles per minutes

Also, as he crosses Stover Lake, he drives 30 minutes at the same average speed. Therefore, the distance that is traveled by him is,

Distance = Speed × Time

= (1/3) miles per minute × 30 minutes

= 10 miles

Further, if we take the ratio of the distance of the two, then we can write,

$\frac{\text{Distance traveled in the York canal}}{\text{Distance traveled in Strover Lake}}= \rm (5\ miles)/(10\ miles)$

$\frac{\text{Distance traveled in the York canal}}{\text{Distance traveled in Strover Lake}}= \rm \frac12$

Distance traveled in the York canal = (1/2) Distance traveled in Strover Lake

Hence, The distance traveled in the york canal is one-half the distance traveled on stover lake.

The complete question is:

Darius takes his family on an afternoon boat ride. Going through the york canal, he drives 5 miles in 15 minutes. Later on, as he crosses stover lake, he drives 30 minutes at the same average speed. Which statement about the distance is true?

A : The distance traveled in the york canal is 15 miles less than the distance traveled on stover lake.

B : The distance in the york canal is twice the distance traveled on stover lake.

C: The distance traveled in the york canal is one-half the distance traveled on stover lake.

D: The distance traveled in the york canal and stover lake are the same.

Learn more about Ratios here:

brainly.com/question/1504221

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Answer 2

Answer:

Answer:

Step-by-step explanation:

Given that Darius takes his family on an afternoon boat ride.

First he drives 5 miles in 15 minutes.

Next he drives 30 minutes at the same rate i.e. 5 m/15 min or 20 miles/hour

Since speed is 20 miles/hour, it follows that he travels 10 miles in 30 minutes.

So the true statement is

he travels 10 miles in 30 minutes

Concept used:

Distance travelled = speed x time

Speed =average speed normally denoted by miles per bour

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15/40 in lowest term I need it so bad now

Answers

In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.

Do 15 and 40 have any common factors ?
Let's see . . .

The factors of 15 are 1, 3, 5, and 15 .
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 .

Ah hah ! Do you see that ' 5 ' on both lists ? That's a common factor.

So 15/40 is NOT in lowest terms.

Divide the numerator and denominator both by 5 :

15 / 40 = 3 / 8

3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.

3/8 is the answer

*Hope I Helped*

Simplify write equivalent expressions. 4-2+(3b+6)

Answers

The first thing you want to do in this equation is get rid of the parenthesis. Because 4-2 is added to (3b+6) you cannot distribute the 2. However, there is an invisible 1 next to the parenthesis, so you can use that. Additionally, I like to change subtraction to addition of a negative number. It makes things a little less confusing.

4+ -2 + 3b + 6

Now just combine the like terms.

4 + -2 = 2
6+ 2 = 8

So the simplified version of your problem is: 3b + 8

4- 2+ (3b+6)
= 2+ 3b+ 6
= 3b + (2+6)
= 3b+ 8

Hope this helps~

Let f(x) = -2x + 7 and g(x) = -6x + 3. Find (f o g) and state its domain.

Answers

$(f\circ g)(x) = -2(-6x+3) + 7 = 12x - 6 + 7 = 12x + 1$

The domain is all real numbers as a composition of two linear functions have no restrictions (all linear functions have domain of R)

Plans say that 1800 gallons of water are recycled through the water rush ride each minute. Ms Luca wants to make a statement about the number of quarts of water that are recycled each second. What should her statement be? Show your work.

Answers

1800 gal converts to 7200 quarts, and divide that by 60 you get 120 quarts of water per second.

well first you would have to divide 1800 by 60 (because there are 60 seconds in a minute). which would equal 30. then divide that by 4 which would be 7.5. and theres your answer. 7.5 quarts per second.

Which of the following exponential functions goes through the points (1, 12) and (2, 36)?a
f(x) = 4(3)−x

b
f(x) = 3(4)−x

c
f(x) = 3(4)x

d
f(x) = 4(3)x