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
QveST [7]
3 years ago
7

Michelle drove a total of 57.8 kilometers on saturday. she drove 23.5 kilometers from her house to the park. her next stop was t

he library, which is 18.3 kilometers from the park. she drove 5.7 kilometers from the library to the grocery store. what is the distance from michelle's house to the grocery store.
Mathematics
1 answer:
muminat3 years ago
4 0
From the question, we can create the equation
57.8 = 23.5 + 18.3 + 5.7 + x
This equation says that the total distance traveled (57.8 km) is equal to all the distances she drove, plus the final distance back home.
Solving for x, we get that x = 10.3 km
You might be interested in
Consider the function f(x)=-2/3x +5 <br> what is f(-6) <br> enter your answer in the box <br> f(-6)=
GaryK [48]

Answer:

f(- 6) = 9

Step-by-step explanation:

to evaluate f(- 6), substitute x = - 6 into f(x)

f(- 6) = - \frac{2}{3} × - 6 + 5

        = - \frac{2(-6)}{3} + 5 = 4 + 5 = 9


4 0
3 years ago
Show all work to identify the asymptotes and state the end behavior of the function f(x)=5x/x-25
Nina [5.8K]

Using the asymptote concept, it is found that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}

Considering the denominator, the vertical asymptote is:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5

Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

More can be learned about asymptotes and end behavior at brainly.com/question/28037814

#SPJ1

6 0
1 year ago
Beth is going to enclose a rectangular area in back of her house. the house wall will form one of the four sides of the fenced i
Alina [70]

The maximum possible area would have a length of 24 feet and width of 12 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the length and y represent the width, hence:

Since beth has 48 ft fencing and cover 3 sides, hence:

x + 2y = 48  

x = 48 - 2y     (1)

Also:

Area (A) = xy

A = (48 - 2y)y

A = 48y - 2y²

The maximum area is at A' = 0, hence:

A' = 48 - 4y

48 - 4y = 0

y = 12 feet

x = 48 - 2(12) = 24

The maximum possible area would have a length of 24 feet and width of 12 feet.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
1 year ago
Write this expression in a different way. 2x-438
yaroslaw [1]
2x-438 = -438+2x= 2(x-219)
3 0
3 years ago
Which term best describes a proof in which you assume the opposite of what you wan to prove
gavmur [86]
The term that best describes a proof in which you assume the opposite of what you want to prove is proof of contradiction. Contradiction means opposite.

Your answer is: C) Proof of Contradiction 

Have an amazing day!

8 0
3 years ago
Other questions:
  • Solve the system of equations given below
    11·1 answer
  • 3x+2(4x-4)=3<br> answer choices-1,2,3,4
    12·2 answers
  • Which graph represents y−4=2(x−3) ?
    14·1 answer
  • Find the value for X , what is X?? Anyone knows!! I want to give you brainliest answer too
    8·1 answer
  • If B+2(a+1)=c then a+1
    12·2 answers
  • How can1/5 x-2=1/3x+8 be set up as a system of equations
    14·1 answer
  • Pattern:
    5·1 answer
  • If Zoe has 9 apples, and each apple were 9 grams of sugar. How many grams of sugar does Zoe ate if see eats 9 apples each day th
    14·1 answer
  • I need help.. with thissss
    11·1 answer
  • Solve using the tangent formula(real answers only please)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!