Ask question

Ask question

All categories

4 years ago

5

Last week, Peter ran 3 1/5 laps around the lake. Isaac ran 1 1/4 times as many laps around the lake as Peter did. How many laps

around the lake did Isaac run?
Write your answer as a fraction or as a whole or mixed number

1 answer:

vlabodo [156]4 years ago

4 0

Answer:

4 laps

Step-by-step explanation:

$3 \frac{1}{5} * 1 \frac{1}{4} =$

$\frac{16}{5} * \frac{5}{4} = \frac{80}{20} =4$

Isaac ran 4 laps.

You might be interested in

The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula

Slav-nsk [51]

Answer:

Step-by-step explanation:5

8 0

3 years ago

Is a rhombus a rectangle

11111nata11111 [884]

Answer:Every square is a rhombus, and a rhombus can be a square, if all its angles are 90 degrees. Thus, a rhombus can be a rectangle (if the angles of the rhombus are all 90 degrees), and a rectangle can be a rhombus (if the sides of the rectangle are all equal length).

Step-by-step explanation:

5 0

3 years ago

when a cannonball is fired, the equation of its pathway can be modeled by h=-16t squared + 128t. find the time it will take for

Rashid [163]

At the time the cannonball reaches the ground, the vertical height of the cannonball from the ground is 0, i.e. h = 0.

Thus, the time it will take the cannonball to reach the ground is given by

$-16t^2+128t=0 \\ \\ \Rightarrow t(-16t+128)=0 \\ \\ \Rightarrow t=0\ or\ -16t+128=0 \\ \\ \Rightarrow16t=128 \\ \\ \Rightarrow t= \frac{128}{16} =8$

Therefore, it will take the cannonball 8 seconds to reach the ground.

5 0

3 years ago

The distribution function of the univariate random variable x is continuous at x if and only if p(x

sweet-ann [11.9K]

The distribution function of the univariate random variable x is continuous at x if and only if , F (x) = P (X ≤ x)

Continuous univariate statistical distributions are functions that describe the likelihood that a random variable, say, X, falls within a given range. Let P (a Xb) represent the probability that X falls within the range [a, b].

A numerically valued variable is said to be continuous if, in any unit of measurement, whenever it can take on the values a and b. If the random variable X can assume an infinite and uncountable set of values, it is said to be a continuous random variable.

If X can take any specific value on the real line, the probability of any specific value is effectively zero (because we'd have a=b, which means no range). As a result, continuous probability distributions are frequently described in terms of their cumulative distribution function, F(x).

To learn more about univariated data

brainly.com/question/13415579

#SPJ4

7 0

1 year ago

Invasive species often experience exponential population growth when introduced into a new environment. Zebra mussels are an inv

Oliga [24]

Answer:

If ‘a’ is the initial population of the Zebra mussels, then every six months, the population of Zebra mussels quadruples, i.e. it becomes 4a. In t years, i.e. in 2t intervals of 6 months each, the population of Zebra mussels can be computed with the help of a geometric series a, ar, ar2, ar3, …. arn-1 ( the series being finite with n terms) where a is the 1st term , r is the common ratio and n is the number of terms in the series..

Here, in 2t years, there will be 2t + 1 terms in the geometric series including the initial term. Thus in the above series, a = 10, r = 4 and n = 2t + 1. Then the population of the Zebra mussels after 2t years is the (2t +1)st term of the geometric series I.e. 10* ( 42t)

In 15 months, t = 15/12 = 1.25. Then the population of Zebra mussels after 15 months will be 10*(42.5 ) = 10 * 25 = 320

If after t years, the population of the Zebra mussels become 1 million , then we have

1000000 = 10 * (42t) or, 100000= 42t or,105 = 42t Taking logarithms of both sides, we have 5 log 10 = 2t log 4 or, t = (5log10)/(2log4) = 5/1.20 years or (5/1.20) * 12 months = 50 months, i.e. 4 years and 2 months.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers