1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrRissso [65]
3 years ago
5

A lion runs at a speed of 50 mph and a cheetah runs 78 mph. If they both run at a steady rate, how far will a cheetah run in the

time it takes a lion to run 13.75 miles?
Mathematics
2 answers:
Elden [556K]3 years ago
7 0

Answer:

21.45 mi

Step-by-step explanation:

Distance = speed × time

The time it takes the lion is:

13.75 mi = 50 mi/hr × t

t = 0.275 hr

The distance ran by the cheetah in that time is:

d = 78 mi/hr × 0.275 hr

d = 21.45 mi

Korvikt [17]3 years ago
3 0

Answer:

21.45 miles

Step-by-step explanation:

First, let's find the main ratio:

50:78

Now, let's bring a variable into the equation.

13.75:x

We can find the number to multiply by dividing 13.75 by 50 using long division.

13.75÷50=0.275

We need to find how many miles the cheetah ran, so we will multiply 78 and 0.275.

78·0.275=21.45

So, the cheetah ran 21.45 miles in the time it took the lion to run 13.75 miles.

You might be interested in
The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a  is 1200

We have to find sigma notation  showing the infinite growth of the wildflowers.

wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}

Formula for infinite sum of GP is S_{\infty}=\frac{a}{1-r}

Here, a=1200,r=\frac{1}{4}

On substituting the values in the formula of sum we get:

S_{\infty}=\frac{1200}{1-\frac{1}{4}}

On simplification we get:

S_{\infty}=\frac{1200}{\frac{3}{4}}=1600

Therefore, total sum of wildflowers 1600.

5 0
3 years ago
Read 2 more answers
On the school playground, the slide is due west of the tire swing and due south of the monkey bars. If the distance between the
FinnZ [79.3K]

Answer:

Step-by-step explanation:

Draw a picture!

You get a right triangle with hypotenuse = 20 ft and horizontal leg = 12 ft

Use the Pythagorean Theorem to find the length of the vertical leg:

vertical leg = √(20²-12²) = √256 = 16 ft

5 0
3 years ago
Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char
Airida [17]
Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
13.5g + 540 = 1512

Subtract 540.
13.5g = 972

Divide by 13.5
g = \frac{972}{13.5} = 72

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!
8 0
3 years ago
Read 2 more answers
Identify the volume and surface area of the sphere in terms of π.
Anastasy [175]

Answer:

Sphere Formulas in terms of radius r:

Volume of a sphere: V = (4/3)πr.

5 0
3 years ago
The distance from Paula's house to school is 5 miles. There is a set of railroad tracks one-fourth of the distance away from her
Marina CMI [18]
5/4 = 1.25 miles which is the answer 

6 0
3 years ago
Read 2 more answers
Other questions:
  • The line plot below shows the weight (in grams) of vitamin bottles.
    6·1 answer
  • What did the Twenty-fourth Amendment to the Constitution change about voting?
    13·1 answer
  • HELP ASSAP WITH THIS QUESTION!!!!!!
    14·2 answers
  • SHOW STEPS PLEASE!!!
    9·1 answer
  • F the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?
    10·1 answer
  • Maria took a taxicab from her home to the theater
    12·1 answer
  • PLEASE HELP!! Find mCFD<br> 180°<br> 276<br> 307<br> 53°
    14·1 answer
  • If you look at the second graph and were to add the percentages, they add far higher than 100%. Why is that the case?
    5·2 answers
  • Please give an example of Ratios, Integers, and Unit Rate.
    15·1 answer
  • g Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!