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
MatroZZZ [7]
3 years ago
15

0 A two-inch-long grasshopper can jump a horizontal distance of 40 inches. An athlete, who is _ five feet nine, wants to cover a

distance of one mile by jumping. If this person could jump at the same ratio of body-length to jump-length as the grasshopper, determine, to the nearest jump, how many jumps it would take this athlete to jump one mile?
Mathematics
1 answer:
Mkey [24]3 years ago
7 0

Answer:

a) nearest jump is JL = 1380 inches = 115ft

b) number of jumps in 1 mile N= 46 jumps

Step-by-step explanation:

Given that the jump length is proportional to the body length.

If 2 inch grasshopper can jump 40 inches.

JL = k(BL)

k = JL/BL

where JL = jump length = 40 inches

BL = Body length = 2 inches.

k = 40/2 = 20

The constant of proportionality is 20.

For the athlete :

BL = 5ft 9 inches = 5(12)+9 = 69 inches.

The jump length of the athlete is:

JL = k(BL) = 20(69)

JL = 1380 inches. = 115ft

The number of jumps in 1 mile is

1 mile = 63360 inches

N = 63360/1380

N = 45.9 = 46

N= 46

Therefore, 46 jumps would be needed.

You might be interested in
Find the X COORDINATE OF THE intersection of 9x - 6y = 12 and 3x + 2y =8
yaroslaw [1]

Answer: x=2

Step-by-step explanation:

Given a System of linear equations, the solution of the system is the point (x,y) in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.

Having the following System of equations:

\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.

You can use the Elimination method to find the value of "x":

-Multiply the second equation by 3.

- Add the equations.

- Solve for "x".

Then, you get:

\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2

8 0
2 years ago
4. Bryce has 220 feet of fencing that will enclose a rectangular corral. One side of the corral will be 48 ft long. What will be
RideAnS [48]

Answer:

The area of the rectangular coral = 2,976 ft²

Step-by-step explanation:

Bryce has 220 ft of fencing to fence a rectangular coral.

Let the dimensions of the corral be x ft. × y ft.

One side of the coral is 48 ft. long

A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.

Total length of material for fencing = 220 ft.

Hence the perimeter of the reef = 220 ft.

2x + 2y = 220

And one length of the rectangular coral = x = 48 ft.

We can solve for the remaining dimension of the rectangular coral this way.

2(48) + 2y = 220

2y = 220 - 96 = 124

y = (124/2) = 62 ft.

Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
If you have five red balls and five blue balls in a jar what’s the probability of the first ball being red?
rosijanka [135]

Answer:

red balls = 5

blue balls = 5

total balls = 5 blue+5 red

= 10

p(first \: ball \: being \: red) =  \frac{red \: balls}{total \: balls}

p(first \: ball \: being \: red) =  \frac{5}{10}  =  \frac{1}{2}

8 0
2 years ago
Read 2 more answers
Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils f
denpristay [2]

Answer:

The cost of each pens is $1.19

The cost of each pencils is $0.39

Step-by-step explanation:

Given as :

The number of pens bought by Gabby = 4

The number of pencils bought by Gabby = 5

The number of pens bought by Sydney = 5

The number of pencils bought by Sydney = 3

The total cost of Gabby items = $6.71

The total cost of Sydney items =$7.12

Let The cost of each pens = x

And The cost of each pencils = y

Now, According to question

For Gabby

4 x + 5 y = $6.71           .............1

For Sydney

5 x + 3 y = $7.12           .............2

Now, Solving both equations

5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12

Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48

Or, (20 x - 20 x) + (25 y - 12 y) = 5.07

or, 0 + 13 y = 5.07

∴ y = \frac{5.07}{13}

I.e y = $0.39

So, The cost of each pencils = y = $0.39

Again , put The value of y in eq 1

I,e 4 x + 5 y = $6.71    

Or, 4 x + 5 × 0.39 = 6.71

or, 4 x + 1.95 = 6.71

or, 4 x = 6.71 - 1.95

or , 4 x = 4.76

∴  x = \frac{4.76}{4}

I.e x = $1.19

The cost of each pens = x = $1.19

Hence The cost of each pens is $1.19

And The cost of each pencils is $0.39   Answer

6 0
3 years ago
In the year 2003 a company made 8.8 million in profits. For each consecutive year after that their profits increased by 6%. How
yaroslaw [1]

Answer:

The company's profit in 2007 was 11.088 millions

Step-by-step explanation:

This is a compound interest problem where the initial amount is 8.8 million, the interest rate is 6% and the time period is 4 years and it gets compounded yearly. So we can use the compound interest formula, that is given by:

A = P*(1 + r/n)^(n*t)

Where A is the final amount, P is the initial amount, r is the rate, t is the total amount of time and n is the number of times it gets compounded in one year. We can now use all the values that were given to us to find out the profit of the company.

A = 8.8*(1 + (0.06))^(4) = 8.8*(1.06)^16

A  = 8.8*1.26 = 11.088 millions

So the company's profit in 2007 was 11.088 millions

6 0
3 years ago
Other questions:
  • Rewrite the function by completing the square.<br> f(x) = x2 – 10x + 44<br> +<br> f(x) = (x+
    6·1 answer
  • PLEASE HELP!!!! LAST QUESTION ON FINALS I CAN'T FIGURE OUT!!!!! WILL MARK BRAINLIEST!!!
    13·1 answer
  • Together, teammates Pedro and Ricky got 2691 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each p
    6·2 answers
  • Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.
    12·2 answers
  • at the end of dinner a restaurant had several dishes of quiche each with 2/6 size pieces of quiche. the chef was able to combine
    14·1 answer
  • A student is randomly selected from a class of 32 students. What is the probability that the selected student is a boy if there
    7·1 answer
  • Awnser photo quick please #7
    14·2 answers
  • What is the answer to this question?
    8·1 answer
  • Pls help me ASAP !!!!!!!!!
    13·1 answer
  • Which question is biased? a. Do you like the Mesa trail best? b. What is your favorite beach? c. What is your favorite song?d. W
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!