luke can run a mile in 7 minutes. colleen can run a mile in 5 minutes. at this rate, how much longer would it take luke to run 11 miles than it would take colleen to run 11 miles?

Answers

Answer 1

Answer:

Speed of a object is defined as the total distance covered in the total time taken. To run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.

Given information-

Luke can run a mile in 7 minutes.

Colleen can run a mile in 5 minutes.

What is speed?

Speed of a object is defined as the total distance covered in the total time taken. Speed is the ratio of the distance $d$ to the time taken $t$ . Thus,

$s=(d)/(t)$

As Luke can run 1 mile in 7 minutes. Thus the speed of the Luke is,

$s_l=(1)/(7)$

Thus the speed of the Luke is 1/7 miles per minute.

As Colleen can run 1 mile in 5 minutes. Thus the speed of the Colleen is,

$s_c=(1)/(5)$

Thus the speed of the Luke is 1/5 miles per minute.

The total time taken by the Luke to cover the 11 miles with the speed of 1/7 miles per minute is,

$(1)/(7) =(11)/(t)$

Solve for $t$

$t=11* 7}\nt=77$

Hence, the total time taken by Luke to run 11 miles is 77 minutes.

The total time taken by the Colleen to cover the 11 miles with the speed of 1/5 miles per minute is,

$(1)/(5) =(11)/(t)$

Solve for $t$

$t=11* 5}\nt=55$

Hence, the total time taken by Colleen to run 11 miles is 55 minutes.

Extra time taken by Luke to cover 11 miles than Colleen is,

$t=77-55=22$

Hence to run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.

Learn more about the speed here;

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Answer 2

Answer: 22 because 7 minutes per mile in 11 miles would be 77 minutes, and 5 minutes per mile in 11 miles would be 55 minutes. Therefore it takes Luke 22 more minutes than it takes Colleen to run the mile.

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Travant is planning a garden that will cover 1,600 square yards. he wants the ratio of space planting with flowers to space planted with vegetables to be 3:5. how many square yards of flowers will travant have?could you show the working

Answers

Travant will have 600 square yds of area for flowers.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that the total area of the garden is 1600 square yds and it is divided in a ratio of 3 : 5 of flowers and vegetables.

The total area, as per the ratio, is:
3 + 5

= 8 square yds

Therefore, 8 square yds are equivalent to 1600 square yds:

8 square yds = 1600 square yds

1 square yds = 200 square yds

3 square yds = 600 square yds

Hence, Travant will have 600 square yds of area for flowers.

To learn more about ratios, click here:

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#SPJ2

Area covered by flowers is X
Area covered by vegetables is Y

X/Y = 3/5
5X = 3Y

X + Y = 1600
X + 5/3X = 1600
8/3X = 1600

X = 1600 * 3 / 8 = 600 Sq Yards

Marissa bought four bottles of water Each bottle of water is 0.95 cents Write an equation with the same product as the total cost but different factors SHOW IN OWN WORDS SHOW YOUR WORK

Answers

Answer: Total cost = Cost of each bottle × Number of bottles

Step-by-step explanation: If each bottle of water Marissa bought cost 0.95cents. This means four bottles will cost = 0.95 + 0.95 + 0.95 + 0.95 = 3.80 cents

This can be written simply as 0.95 × 4 = 3.80 cents

Therefore, a general equation for calculating the total cost of bottle water will be;

Total cost = Cost of each bottle × Number of bottles.

Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?

Answers

Answer:

No, the table will not for through the door

Step-by-step explanation:

A door is known to be rectangular in nature. If Jill’s front door is 42inches wide and 84inches tall and we are to determine if the circular door will fit into the door, this means that the circumference of the circular table must be lass than the width of the door.

Circumference of a circle = πd

Given diameter d = 96inches

Circumference = π(96)

Circumference of the table = 301.59inches

Jill's door width = 42inches

Since the circumference of the circular table is greater than the width of the rectangular door, this shows that the table will not fit through the door.

For the table to fit in the circumference must be lesser than the width of the door

This problem involves trying to find the diagonal of the rectangle given. This is equal to the hypotenuse of a triangle with one length side and one width side as its legs. The formula for finding this hypotenuse is c = √(a^2 + b^2). So plug in 84 and 42 and we get approximately 93.9, which is just over 2 inches short of getting the table through the door.

PLEASE ANSWER THIS, ITS DUE TODAY!! *100 POINTS*

Answers

The answer is choice b:Spread

Answer:

B. Spread

Step-by-step explanation:

The distance (in miles) traveled when driving at a certain speed s for 24 hours, then driving 17 miles/hour faster for another hour. Express the distance in terms of s

Answers

The total distance in terms of 's' will be : (25s+17) miles

Explanation

We know that, $Distance= Speed* Time$

So, the distance traveled at a speed of $s$ miles/hour for 24 hours will be: $d_(1)= (s*24)miles = 24s$ miles.

Now, the speed is 17 miles/hour faster for another hour. So the speed for this another hour is $(s+17)miles/hour$

So, the distance traveled in this another hour $=[(s+17)*1]miles = (s+17) miles$

Thus, the total distance $=[24s+(s+17)] miles = (25s+17) miles$

Triangles PQR and STU are similar.What's the length of ST

A.
24 m

B.
20 m

C.
14 m

D.
12 m

Answers

C.
14 m it is reasonable and you gave work that explained the quotient

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