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
frosja888 [35]
3 years ago
14

Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours l

ater at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?

Mathematics
2 answers:
makvit [3.9K]3 years ago
5 0
It will take Zach 2 hrs to get 8 miles because he is running at a constant of 4

while tommy is running at a constant of 3 it will take him 3 and a half hrs to run 8 miles
MAXImum [283]3 years ago
3 0

Answer:

\frac{14}{25} hours.

Step-by-step explanation:

We know that,

Distance = speed × time

Given,

Speed of tommy = 3 miles per hour,

So, the distance covered by him 2 hours = 6 miles,

Also, speed of Zach = 4 miles per hour,

Let after x hours they are 8 miles apart,

That is, total distance covered by Tommy = 6 + 3x,

And, total distance covered by Zach = 4x,

Thus, by making the diagram of this situation,

We get,

A right triangle having hypotenuse 8 and legs 3x+6 and 4x,

By the pythagorean theorem,

(3x+6)^2+(4x)^2=8^2

9x^2+36x+36+16x^2=64

25x^2+36x-28=0

25x^2+50x-14x-28=0

25x(x+2)-14(x+2)=0

(25x-14)(x+2)=0

25x-14=0\text{ or }x+2=0

⇒ x = \frac{14}{25} or x = -2

Number of hours can not be negative,

Hence, after \frac{14}{25} hours they are 8 miles apart.

You might be interested in
HURRY!!!!
m_a_m_a [10]
The value of the card was $13 when he originally purchased it.
7 0
3 years ago
Could someone explain.This brainliest.
LekaFEV [45]

Mikayla-132\\\\Zack:\\one\ fourth\ as\ much\ candy\ as\ Mikayla\\\\\dfrac{1}{4}\cdot132=\dfrac{132}{4}=33\\\\Kim:\\three\ times\ as\ much\ candy\ as\ Zack\\\\3\cdot33=99\\\\Answer:\ 132+33+99=264\ pieces

4 0
3 years ago
If you could show the work or an explanation
DanielleElmas [232]
Brenda’s Bottle

3 1/4 = 13/4 in improper fraction form.

13/4*-0.26 = -0.845. This is the difference in the change.

John’s Bottle

2 5/6 = 17/6 in improper form

17/6*-0.21 = -0.595 in difference.
4 0
2 years ago
Pls help the answer choices is the same for both of them questions so
andreev551 [17]

Answer:

Im not exactly sure about the answer but I don’t think it is linear because linear means straight. APC and CPB are not straight.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending m
Anuta_ua [19.1K]

Answer:

A) 1.96%

Step-by-step explanation:

You need to know the band between 5.48 g and 5.82 g, the mean is 5.67 g and the standard deviation is .0.070 g, with that information you can calculate the percentage to the left of the mean and the percentage to the right of the mean and add them.

To know its percentage you have to calculate the z score for both values.

z = \frac{x-\mu}{\sigma}

x is the value being evaluated

μ is the mean

σ is the standard deviation

For 5.48 g:

z = \frac{5.48-5.67}{0.070} =-2.714

and is equivalent to 0.0034

For 5.82 g:

z = \frac{5.82-5.67}{0.070} = 2.143

and is equivalent to 0.9838

Those numbers mean that the percentage below 5.48 is equivalent to the 0.34% of the values and the percentage below 5.82 is equivalent to 98.38% of the values. Then the percentage rejected is the percentage above 5.82, 100 - 98.38 = 1.62% plus the percentage below 5.48, 0.34%.

Percentage rejected = 1.62% + 0.34% = 1.96%

7 0
3 years ago
Other questions:
  • I need help with this
    14·1 answer
  • Use the quadratic formula to determine the exact solutions to the equation. 6x2+4x−3=0 Enter your answers in the boxes. x = or x
    12·2 answers
  • (Giving Branliest)
    10·2 answers
  • in order to encourage students to show up early to a school dance , the dance comittee decides to charge less for those who come
    12·1 answer
  • A race organizer brought 24 gallons of sports drink for a race. How many quarts of sports drink did he buy?
    15·2 answers
  • Can you help me on a math problem?
    9·1 answer
  • Find the lenghts of the following segement ​
    13·1 answer
  • Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 c
    8·2 answers
  • I WILL MARK BRAINIEST IF YOU ANSWE BOTH QUESTIONS(:Distance versus time graph below shows the progress of two different runners
    6·1 answer
  • Employees who have retired from a company are placed in different benefit categories. The bar graph shows the percentages of the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!