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
adoni [48]
3 years ago
9

Marys doll house has a door that is 60 inches high by 30 inches wide. Mary has a dog bed that is 65 inches on each side. a. Will

the doll bed go through the front door of the house? Explain. b. What is the largest bed (to the nearest inch) that will fit through the doll house door?
Mathematics
1 answer:
laiz [17]3 years ago
7 0
No it will not bc the area of the door is 1,800 inches and the dog beds area is 4,225 inches and also the dog bed too tall
You might be interested in
————PLEASE HELP————-
UkoKoshka [18]

Answer:

47

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write a rule in function notation for each situation:
algol [13]

Answer:

1. \bold{S=f(P) = 0.07P}

2. x = 16

3. Part 1: P is the independent variable and S is the dependent variable.

Part 2: x is the independent variable and y is the dependent variable.

Step-by-step explanation:

1. To write the function notation for:

Sales tax is 7% of the total price.

Let the total price be P.

And sales tax be S.

As per the given statement:

S = 7\% \ of\ P\\\Rightarrow S =\dfrac{7}{100}P\\\Rightarrow S=0.07P

Writing it in the function notation:

\bold{S=f(P) = 0.07P}

2. To find the value of x such that f(x) = 14 and

f(x) = \dfrac{1}4x + 10

Putting the value of f(x) = 14

14 = \dfrac{1}4x + 10\\\Rightarrow \dfrac{1}4x =14-10\\\Rightarrow \dfrac{1}4x =4\\\Rightarrow x =4\times 4\\\Rightarrow \bold{x =16}

3. To find the dependent and independent variable.

Independent variables are those whose value is not dependent on the other variable's values.

Dependent variables are dependent on the value of other variables.

In question 1:

\bold{S=f(P) = 0.07P}

P is the independent variable.

S is the dependent variable.

In question 2:

If we write it as follows:

y=f(x) = \dfrac{1}4x + 10

x is the independent variable and y is the dependent variable.

5 0
4 years ago
What is the local maximum value of the function? (Round answer to the nearest thousandth)
natima [27]

Answer:

72.578 to the nearest thousandth.

Step-by-step explanation:

g(x)=3x^3 + 3x^2 - 30x + 24

Find the derivative:

g'(x) = 9x^2 + 6x - 30.

This equals zero for values of turning points:

9x^2 + 6x -30 = 0

3(3x^2 + 2x - 10) = 0

x =  [-(2) +/- √(2^2 - 4*3*-10)] / 2*3

x = (-2 +/- √124) / 6

x =  (-2 + 11.136)/6,  (-2 - 11.136)/6

x = 1.523, -2.189.

To check which value of x gives a maximum value for f(x) use the second derivative test:

g"(x) =  18x + 6

when x = -2.189  g"(x) = 18(-2.189) + 2 which is negative so this value gives a local maximum.

Local maximum value for f(x)

= 3(-2.189)^3 + 3(-2.189)^2 - 30(-2.189) + 24

= 72.578 answer.

3 0
3 years ago
Fabian bought 223 feet of wood to build
PilotLPTM [1.2K]

Answer:

111 boxes

Step-by-step explanation:

He bought 223 feet of wood

Each box will take 2 feet

To determine the total number of box he'll make from 223,

1 box = 2 feet of wood

X box = 223 feet of wood

X = (223 × 1) / 2

X = 111.5 box approximately 112 boxes

But technically, since its 111.5, he'll be able to make 111 boxes completely with 0.5 feet of wood left

5 0
3 years ago
What is the graph of the inequality? 3x ≤ 2y - 7
BlackZzzverrR [31]

Answer:

graph is attached below.

Step-by-step explanation:

Given : equation 3x ≤ 2y - 7

We have to plot the graph for the given inequality.

Consider the given inequality 3x ≤ 2y - 7

To plot the graph we first convert inequality to equality.

then equation becomes, 3x = 2y - 7  

We find the points to plot this line,

at x = 1

⇒ 3(1) = 2y - 7

⇒ 3 = 2y - 7

⇒2y = 10

⇒ y = 5

at x = 3

⇒ 3(3) = 2y - 7

⇒ 9 = 2y - 7

⇒2y = 16

⇒ y = 8

at x = 5

⇒ 3(5) = 2y - 7

⇒ 15 = 2y - 7

⇒2y = 22

⇒ y = 11

Thus,   points are (1 , 5) , (3,8) and (5 , 11)

Now we plot these points and obtained the graph of line 3x = 2y -7

For region to be shaded take a test point and check whether it satisfy the given given inequality or not.  

Let point be (-3, 0)

Substitute x= -3 and y = 0, we get

3(-3) ≤ 2(0) - 7

⇒ -9 ≤  - 7  (true)

Graph plot is as shown below.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Expand and simplify: x(x-5)+x(2x-3)
    11·1 answer
  • Amanda, Lisa, and Raquel together sold 54 tickets for the school play. Amanda sold 22 tickets and Lisa sold 14 tickets. How many
    15·1 answer
  • The government plans to build 75,000 new homes. 1/5 of the new homes will be built in a city near you. How many is that?
    13·1 answer
  • Which of the following is a like term of -5.92?
    9·1 answer
  • Given the equation 3x + 7 = 13, which order of operations completely solves for x? (1 point)
    10·2 answers
  • The sum of n A.M.'s between two numbers is 20. If the last mean is double of the first and one number is three times the other,
    13·1 answer
  • What is 8 over15 plus 2 over5
    6·1 answer
  • oil is leaking out of a tank. the depth of oil in the tank for 60 seconds is shown below. use the graph to work out the rate of
    8·1 answer
  • PLEASE HELP DUE IN 2 HOURS!!!!!!!!!!!!!!
    11·1 answer
  • 100 points and brainly if correct. Jackson made a drawing for his residence including a villa and a garden, as in the given figu
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!