Mathematics High School

The price of a toy usually costing £50 is increased to £65
Work out the percentage increase

Answers

Answer 1
30% increase thats the answer


Answer 2
The percentage increase is 30%.

Related Questions

The explicit rule for a sequence is an=9(−5)n−1 .



What is recursive rule for the sequence?




an=5−(an−1),a1=9

an=−9(an−1),a1=5

an=9−(an−1),a1=5

an=−5(an−1),a1=9

Answers

Explicit rule is a(n) = 9*(-5)^(n-1)

The recursive rule is a(n) = -5*a(n-1); a(1) = 9

The first term is 9. Each new term is found by multiplying the previous term by -5

We can see this when we raise -5 to a whole number power. Eg: 9(-5)^3 = 9*(-5)*(-5)*(-5)

Answer: Choice D

Answer:

Option 4th is correct.

[tex]a_n = -5 \cdot a_{n-1}[/tex] , [tex]a_1 = 9[/tex]

Step-by-step explanation

The explicit sequence of the geometric sequence is given by:

[tex]a_n = a_1r^{n-1}[/tex]              ....[1]

where,

r is the common ratio

n is the number of terms

[tex]a_1[/tex] is the first term

As per the statement:

The explicit rule for a sequence is:

[tex]a_n=9(-5)^{n-1}[/tex]

On comparing [1] we have;

[tex]a_1 = 9[/tex] and r=  -5

Recursive formula for the geometric sequence is given by:

[tex]a_n = r \cdot a_{n-1}[/tex]  for [tex]n\geq 2[/tex]

Substitute the given values we have;

[tex]a_n = -5 \cdot a_{n-1}[/tex]

Therefore, the recursive rule for the sequence is, [tex]a_n = -5 \cdot a_{n-1}[/tex] , [tex]a_1 = 9[/tex]

What is the measure of angle x, help

Answers

y = 180 - 51 -56 = 73

x = 180 - 73 - 72 = 35

x = 35 degrees
y=180-51-56
=73
x=180-72-73
=35°

What would be the side length of the smallest square plate on which a 40-cm chopstick can fit along a diagonal without any overhang? (Correct answer will get reward)

Answers

The side length of the smallest square plate required to fit a 40-cm chopstick along its diagonal without any overhang is approximately 28.284 cm.

To find the side length of the smallest square plate in which a 40-cm chopstick can fit along a diagonal without any overhang, we can use the Pythagorean theorem. The diagonal of a square is the hypotenuse of a right-angled triangle formed by two sides of the square. Since the sides of the square are equal, if one side is s, then the diagonal d can be calculated using the equation d = s√2, where √2 is the square root of 2 (approximately 1.4142).

Therefore, to fit a 40-cm chopstick along the diagonal:

Let d = 40 cm.

Use the equation s√2 = 40 cm to find s, the side of the square.

s = 40 cm / √2.

s ≈ 28.284 cm when rounded to three decimal places.

So, the side length of the smallest square plate on which a 40-cm chopstick can fit along a diagonal without any overhang is approximately 28.284 cm.

what effect does the value of the coefficient of x^2 have on the graph?

Answers

as the coefficient increases, the graph shrinks.
ex.)
for the graph of x^2, 5 of your data points will be (0,0),(1,1),(2,4),(3,9),(4,16)

when you multiply by a coefficient,
ex.)
for the graph of ax^2, a being a stand in for the coefficient, 5 of your data points will be (0,a×0), (1,a×1), (2,a×4), (3, a×9), (4,a×16)

if your coefficient,a, is equal to 4 your data points become: (0,0),(1,4),(2,8),(3,36),(4,64)

if you graph it out you will notice that your graph rises faster and faster incompariaon to the original.

hope this helps good luck

Jim runs a food cart and during a business outdoor Festival he sold $8470 worth of food he sells hot dogs for $2.50 and steak sandwiches for $10 if he sold a total of 985 items that they how many of each item did he sell?

Answers

The first thing we do for this case is to define variables:
 x: hot dogs
 y: steak sandwiches
 We write the following system of equations:
 2.50x + 10y = 8470
 x + y = 985
 Resolving graphically we have:
 x = 184
 y = 801
 Note: see attached image for the solution.
 Answer:
 He sold:
 hot dogs = 184
 steak sandwiches = 801

Suppose a population of 175 crayfish doubles in size every month. the function f(x) = 175(2x) gives the population after x months. how many crayfish will there be after 1 year?

Answers

The first thing we will do in this case is to rewrite the expression correctly.
 We have then:
 f (x) = 175 * (2 ^ x)
 Then, you should know that 1 year contains 12 months.
 So we have that for x = 12:
 f (12) = 175 * (2 ^ 12)
 f (12) = 716800
 Answer:
 there will be 716800 crayfishes after 1 year

A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. how long should the sides of the triangle​ be?

Answers

The only Pythagorean triple with legs in arithmetic sequence is the 3-4-5 triangle.

The sides should be 3 cm, 4 cm, 5 cm.

-7(3x+5) use Distributive property to solve

Answers

the answer is -21x-35

- 7(3x + 5 )

= ( - 7 )(3x + 5)

= ( - 7 )(3x) + ( - 7)(5)

Answer:  =  -  21x - 35

△ABC∼△DEF , △ABC has a height of 20 inches, and △DEF has a height of 24 inches. What is the ratio of the area of △ABC to the area of △DEF ? Enter your answer, in simplest form, in the boxes. :

Answers

Let
h1---------------> height of △ABC 
b1---------------> base  of △ABC
h2--------------->height of △DEF
b2---------------> base of △DEF

we know that
h1=20 in
h2=24 in

Since they are similar, their bases must be in the same proportion:
h1/b1=h2/b2------> 20/b1=24/b2-----------> 24b1=20b2
b1=20b2/24-------------> equation 1

Area of △ABC=b1*h1/2
Area of △DEF=b2*h2/2

Let
r------>[the ratio of the area of △ABC to the area of △DEF]
r=[b1*h1/2]/[b2*h2/2]------> [b1*h1]/[b2*h2]
r=[20b1]/[24b2]---------------> equation 2

I substitute 1 in 2
r=[20(20b2/24)]/[24b2]--------> r=20²/24²-------> r=0.6944

the answer is 
the ratio of the area of △ABC to the area of △DEF is 0.69

Ben bought a desk for $249.99. The sales tax rate was 6.25%. How much did Ben pay for the desk? Round your answer to the nearest cent. (1 point)
$15.62
$187.49
$265.61
$406.23
Just tell me if its A,B,C, or D.

Answers

The answer to the question is C because 249.99 + (0.0625 x 249.99) = $265.61
So C

The  Price for Desk after tax is $265.614.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Ben bought a desk for $249.99.

Tax rate = 6.25%

So, the price for desk after tax

= 249.99 + 249.99 x 6.25%

= 249.99 + 249.99 x 0.0625

= 249.99 +15.62

= $265.614

Hence, the Price for Desk after tax is $265.614.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ5

Philip is going on a 400040004000-kilometer road trip with three friends. The car consumes 666 liters of gas per 100100100 kilometers, and gas costs \$1.50$1.50dollar sign, 1, point, 50 per liter. If Philip and his friends want to split the cost of gas evenly, how much should they each pay?

Answers

Let us calculate how much gas he will need for the trip. Since he needs 6 liters for 100 miles, he will need x for 4000 miles. Gas is proportional to mileage. Solving for x, x=4000/100 *6=240
In total, this will cost 240*1.5=360$. He has 3 friends, so they are 4 in total. Everyone will have to pay 360/4=90$
Let's calculate how much gas would car consume during the trip.
First, we will calculate how much it consumes per kilometer:
[tex]g_{ckm}=6/100=0.06\frac{l}{km}[/tex]
The total consumption for the whole trip would be:
[tex]g_t=L\cdot g_{ckm}=0.06\cdot 4000=240 l[/tex]
To get the total cost of the gas we multiply the total gas consumed by its cost:
[tex]C_t=g_t\cdot1.5=360\$[/tex]
So, each passenger must pay $90.

You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.

Answers

The balance after 2 years when the interest is compounded daily is

$1,725.39.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

Given:

P= $1500

R= 7%

T = 2 years

Now, using

A = P[tex](1 + r/n)^{nt[/tex]

A = 1,500.00[tex](1 + 0.07/365)^{(365)(2)[/tex]

A = 1,500.00[tex](1 + 0.00019178082191781)^{(730)[/tex]

A = $1,725.39

Hence, the balance is $1,725.39.

Learn more about Compound Interest here:

https://brainly.com/question/14295570

#SPJ2

Warren wants to build a rectangular enclosure for his animals. one side of the pen will be against the barn, so he needs no fence on that side. the other three sides will be enclosed with wire fencing. if warren has 500 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
a.let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). write an function for the area a of the enclosure in terms of w . (hint first write two equations with w and l and
a. solve for l in one equation and substitute for l in the other). a ( w ) = 1/2w
b.what width w would maximize the area? w = ft
c.what is the maximum area? a = square feet

Answers

l +2w = 500
a = lw

a) l = 500 -2w
.. a = (500 -2w)*w


b) The zeros of the above equation are w=0, w=250. The vertex of this quadratic is on the line of symmetry, halftway between the zeros, at w=125 ft.


c) a = (500 -2*125)*125 = 31,250 . . . . square feet

Let's solve this step by step.
a. We begin by establishing the relationship between the width (w) and the length (l) using the total amount of fencing available (500 feet). Since one side of the pen is against the barn, we only need to fence the other three sides. Thus, the total amount of fencing used will be for two widths and one length, or \(2w + l\).
Setting up the equation for total fencing, we get:
\[2w + l = 500\]
Now, to express \(l\) in terms of \(w\), we solve for \(l\):
\[l = 500 - 2w\]
Next, we can write the function for the area \(A\) of the enclosure in terms of \(w\). Since area is \(width \times length\), we substitute our expression for \(l\):
\[A(w) = w \cdot l\]
\[A(w) = w \cdot (500 - 2w)\]
\[A(w) = 500w - 2w^2\]
This is the function that expresses \(A\) in terms of \(w\).
b. To find the width \(w\) that maximizes the area, we take the derivative of \(A(w)\) with respect to \(w\) and set it equal to zero to find the critical points.
\[A'(w) = \frac{d}{dw}(500w - 2w^2)\]
\[A'(w) = 500 - 4w\]
Setting \(A'(w)\) equal to zero and solving for \(w\):
\[500 - 4w = 0\]
\[-4w = -500\]
\[w = \frac{500}{4}\]
\[w = 125\]
The width that maximizes the area of the enclosure is 125 feet.
c. Now let’s find the maximum area by substituting \(w = 125\) back into the area function \(A(w)\):
\[A(125) = 500 \cdot 125 - 2 \cdot 125^2\]
\[A(125) = 62500 - 2 \cdot 15625\]
\[A(125) = 62500 - 31250\]
\[A(125) = 31250\]
The maximum area that Warren can enclose is 31,250 square feet.

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. Question 3 options: 11.1 cm, 4.9 cm 44.4 cm, 3.2 cm 44.4 cm, 11.1 cm 24 cm, 4.9 cm

Answers

You can solve this problem by applying the Angle Bisector Theorem. Let's call the lenghts we want to calculate: "x":

 7.4/x=6/4

 When we clear "x", we obtain:

 6x=(7.4)(4)
 x=(7.4)(4)/6
 x=4.9 cm (This is the shortest possible length of the third side of the triangle)

 Let's find the longest possible length:

 4/6=7.4/x

 When we clear the "x", we have:

 4x=(7.4)(6)
 x=(7.4)(6)/4
 x=11.1 cm (This is the longest possible length of the third side of the triangle)

Answer:

11.1 cm, 4.9 cm



The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.

V(t)=24,500(0.95^t)

Find the initial value of the car and the value after 13 years.
Round answers to the nearest dollar as necessary.

Answers

Initial value means t equals 0. Therefore
24,500*(0.95^0) =
24,500*1 = 24,500
Hence, the initial value is £24,500

The value after 13 years means t equals 13. Therefore
24,500*(0.95^13) =
12,576.88
Hence, the value after 13 years is about £12,577

Find the product by using the FOIL method

(11z-5y)(3z+2y)

Plz help!

Answers

33z squared -10y squared + 7zy
 = 33z^2+7zy-10y^2   thats the answer

using these complex zeros (1,1,-1/2,2+i,2-i) factor f(x)=-2x^5 +11x^4 -22x^3 +14x^2 +4x -5

Answers

[tex]\bf \begin{cases} x=1\implies &x-1=0\\ x=1\implies &x-1=0\\ x=-\frac{1}{2}\implies 2x=-1\implies &2x+1=0\\ x=2+i\implies &x-2-i=0\\ x=2-i\implies &x-2+i=0 \end{cases} \\\\\\ (x-1)(x-1)(2x+1)(x-2-i)(x-2+i)=\stackrel{original~polynomial}{0} \\\\\\ (x-1)^2(2x+1)~\stackrel{\textit{difference of squares}}{[(x-2)-(i)][(x-2)+(i)]}[/tex]

[tex]\bf (x^2-2x+1)(2x+1)~[(x-2)^2-(i)^2] \\\\\\ (x^2-2x+1)(2x+1)~[(x^2-4x+4)-(-1)] \\\\\\ (x^2-2x+1)(2x+1)~[(x^2-4x+4)+1] \\\\\\ (x^2-2x+1)(2x+1)~[x^2-4x+5] \\\\\\ (x^2-2x+1)(2x+1)(x^2-4x+5)[/tex]

of course, you can always use  (x-1)(x-1)(2x+1)(x²-4x+5)  as well.

Solve 2x^3-5x^2-11x-4=0

Answers

A graphical calculator shows solutions to be
  x = {-1, -0.5, 4}

The factorization will be
.. (2x+1)(x +1)(x -4) = 0

What is the ratio of CDs & DVDs

Answers

A. 2:1
B. 1:4
C. 1:2
D. 1:5

Three times a number added four times the number equals 84 find the number

Answers

the number is 12 because the equation would be:
3x+4x=84
7x=84
7x/7=84/7
x=12
x=12 is the answer.......

A 2-digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the original number. Find the original number

Answers

43

hope this helps<3
   
 
:)

 
 
 
 
 

Censorship was established in the Bill of Rights. True or false! First answer will be marked brainliest!

Answers

false is the answerrrrrr

Answer:

make the other brainliest but its false

Step-by-step explanation:

Simplify these algebraic expressions: 12x + 3 − 4x + 7, 8 − 7x − 13 + 2x, −3x − 18 + 5x − 2

Answers

12x+3-4x+=8x-4
8-7x-13+2x=-5-5x
-3x-18+5x-2=-16x-2

The simplified expressions are:

12x + 3 − 4x + 7 = 8x + 10

8 − 7x − 13 + 2x = −5x − 5

−3x − 18 + 5x − 2 = 2x − 20

What is an expression?

A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.

To simplify each expression, we combine like terms:

Expression 1:

12x + 3 − 4x + 7 = (12x − 4x) + (3 + 7)

12x + 3 − 4x + 7 = 8x + 10

Expression 2:

8 − 7x − 13 + 2x = (−7x + 2x) + (8 − 13) = −5x − 5

Expression 3:

−3x − 18 + 5x − 2 = (−3x + 5x) + (−18 − 2) = 2x − 20.

Therefore, the simplified expressions are:

12x + 3 − 4x + 7 = 8x + 10

8 − 7x − 13 + 2x = −5x − 5

−3x − 18 + 5x − 2 = 2x − 20

To learn more about the expression;

brainly.com/question/24242989

#SPJ3

Find the area of a triangle with a base length of 3 units and a height of 4 units.

Answers

I will love to help you with this ! So You would use this formula A=1/2b*h 

So these are given so we plug them in 

A=1/2(3)(4)
A=6 units 


Hi there!

To find the area of a triangle, we need to multiply the base and the height of the triangle and divide the product by 2. 

So, the expression we would use to solve this is (3 * 4) / 2.

Let's solve:

(3 * 4) / 2
= 12 / 2
= 6

So, the area of the triangle is 6 units squared. 

Hope this helps!

In the Citizens United case the Supreme Court interpreted political donations as __________.

Answers

 In the Citizens United case the Supreme Court interpreted political donations as __________.
A) only allowable for low-income candidates  

B) a restriction on equal access to democracy  

C) a form of speech protected by the Constitution  

D) an unconstitutional influence over policymakers

Answer:  C) a form of speech protected by the Constitution  

Page Reference:  33 Learning 
Objective: 2.2 Topic/A-head: Political System: 
Links Between Wealth and Power 
Skill Level: Understand the Concepts

PLEASE HELP ME ON THIS QUESTION

THX
~BRAINLIEST AVAILABLE TO CORRECT ANSWER

Answers

g(x)=-f(x)-2
x=-2→g(-2)=-f(-2)-2=-(-1)-2=1-2→g(-2)=-1
x=-1→g(-1)=-f(-1)-2=-(1)-2=-1-2→g(-1)=-3
x=0→g(0)=-f(0)-2=-(3)-2=-3-2→g(0)=-5
x=1→g(1)=-f(1)-2=-(5)-2=-5-2→g(1)=-7

x       -2    -1   0     1
g(x)   -1   -3   -5   -7
Given the table for a linear function
f(x)={(-2,-1),(-1,1),(0,3),(1,5)}
Need to find g(x)=-f(x)-2

First step is to find f(x) in analytical form.
The slope-intercept form would be convenient because we can find both the slope and y-intercept.
In a typical linear function
f(x)=mx+c
m= slope, can be found by (y2-y1)/(x2-x1)
c= y-intercept  [value of y when x=0]

So here, taking points (0,3),(1,5)
m=(5-3)/(1-0)=2
c=3  [y-value when x=0]
=>
f(x)=2x+3
=>
g(x)
=-f(x)-2            [given]
=-(2x+3)-2       [don't forget the parentheses]
=-2x-3-2
=-2x-5  

Finally
g(-2)=-2(-2)-5=4-5=-1
g(-1)=-2(-1)-5=2-5=-3
g(0)=-2(0)-5=0-5=-5
g(1)=-2(1)-5=-2-5=-7
...

when the solutions to each of the two equations below are graphed in the xy coordinate plane, the graphs of the solutions intersect at two places. Write the y-coordinate of the points of intersection in the boxes below in order from smallest to largest. y=2x and y=x^2-3

Answers

The points of intersection are at (3, 6) and (-1, -2).

Since both of these equations have y isolated, we can set them equal to each other:

2x=x²-3

We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x

Write the quadratic in standard form:
0=x²-2x-3

This is easily factorable, as there are factors of -3 that will sum to -2.  -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)

Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.

Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2

Therefore the coordinates are (3, 6) and (-1, -2).

Answer:

Step-by-step explanation:

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

⇒ -3,  

⇒ 0.59,  

⇒ 3.41

HELP!!...................

Answers

solve for r and then c by replacing x with 5 then subtract:

r = x^2 +5x + 14 = 5^2 +5(5) +14 = 25 +25 +14 = 64

c = x^2-4x +5 = 5^2-4(5) + 5 = 25-20 +5 = 10

r- c  = 64-10 = 54

so the store will have a profit of 54,000 after it's 5th month

Answer is C
(r-c)(5) is equivalent to r(5) - c(5). Since r(x) is the amount of money that a business earns and c(x) is the amount of money that the business uses, r(x) - c(x) is the business’s profit. We input 5 into r(x) = x^2 + 5x + 14 to get 64. We input 5 into c(x) = x^2 - 4x + 5 to get 10. We substitute 64 for r(5) and 10 for c(5) in r(5) - c(5) to get 64-10, or 54. Since the problem says that it is in hundreds of dollars, the amount of profit the business makes is $5400 after its fifth month

every day Josie bakery bakes muffins and bagels. the ratio of m7ffins to bagels is always the same. the table shows data about what Josie bakery bakes 3 days of the week. How many bagels did Josie bakery bakes on wednesday

Answers

180/300 = 165/x

x = (300*165)/180 = 275

Describe the graph of a system of linear equations that has infinite solutions.

Answers

tbe graph of a system of linear equations that has infinite solutions is a point because it can have a line go though it in infinite ways
Other Questions
Placing a catheter into the aorta or directly into an artery or vein is called how do u write 0.16 in words 1. What form of government was first formed in ancient Greece? (1 point)MonarchyDictatorshipDemocracyOligarchy What are the three primary components of an Inbox? What was the purpose of Operation Torch??a]To regain control of North Africab]To create a front in Western Europec]To protect oil fields in the Soviet Uniond]To deprive the Japanese of raw materials A band changes a fast-paced rap song by singing the words to quiet guitar strums.Which type of interpretation is most likely used here? A.Shift in tone B.Approach C.Character depiction D.Adaptation of setting How far is it from the log ride to the pirate ship? what are the four main ideas of physical science, What kind of mixture is blood EXPERTS/ACe/GENIUSES HeLPp PLZ a good introduction and body paragraph with jellyfishes ? What do I need to convert mass of product to ma's of a reactant This type of water has a very low salt content when compared to the ocean. Read the excerpt from Anthem.Perhaps they cried out in protest and in warning. But men paid no heed to their warning. And they, these few, fought a hopeless battle, and they perished with their banners smeared by their own blood. And they chose to perish, for they knew. To them, I send my salute across the centuries, and my pity. The imagery of a hopeless battle helps to develop the theme that group thinking limits mans potential because ita. gives details of how violent societies can be when faced with overwhelming obstacles.b. suggests that the group with the larger numbers always wins the battle.c. implies that the narrator will also be killed for questioning authority.d. depicts the collective society as a destructive force that represses the independent thinker.(A is incorrect) Plant food made by photosynthesis consists of: A painter starts with a blank 36-inch by 24-inch piece of rice paper. The painter wants to leave a uniform border x inches wide along the outer edges so that the painting can be framed. Write a polynomial in standard form that represents the area of paper that can be painted. Consider the chemical equation in equilibrium.CH4(g) + H2O(g) mc029-1.jpg CO(g) + 3H2(g)What will happen to the equilibrium of this reaction if the pressure is increased?The equilibrium will shift to the left to favor the reverse reaction.The equilibrium will shift to the right to favor the forward reaction.The equilibrium will not be affected by changing the pressure.The equilibrium will not be reestablished after this kind of stress. What is the value of x? Show all of your work. Round your answer answer to the nearest tenth. From Metamorphosis by Franz Kafka (1)One morning, when Gregor Samsa woke from troubled dreams, he found himself transformed in his bed into a horrible vermin. He lay on his armour-like back, and if he lifted his head a little he could see his brown belly, slightly domed and divided by arches into stiff sections. The bedding was hardly able to cover it and seemed ready to slide off any moment. His many legs, pitifully thin compared with the size of the rest of him, waved about helplessly as he looked. (2)"What's happened to me?" he thought. It wasn't a dream. His room, a proper human room although a little too small, lay peacefully between its four familiar walls. A collection of textile samples lay spread out on the table -Samsa was a travelling salesman - and above it there hung a picture that he had recently cut out of an illustrated magazine and housed in a nice, gilded frame. It showed a lady fitted out with a fur hat and fur boa who sat upright, raising a heavy fur muff that covered the whole of her lower arm towards the viewer. (3)Gregor then turned to look out the window at the dull weather. Drops of rain could be heard hitting the pane, which made him feel quite sad. "How about if I sleep a little bit longer and forget all this nonsense", he thought, but that was something he was unable to do because he was used to sleeping on his right, and in his present state couldn't get into that position. However hard he threw himself onto his right, he always rolled back to where he was. He must have tried it a hundred times, shut his eyes so that he wouldn't have to look at the floundering legs, and only stopped when he began to feel a mild, dull pain there that he had never felt before. Read the sentence from the passage and answer the question that follows: "His room, a proper human room although a little too small, lay peacefully between its four familiar walls." The purpose of this sentence in the second paragraph is to (5 points) Select one: a. show that Gregor is not dreaming b. reveal Gregor as a untidy individual c. uncover that Gregor has a girlfriend d. expose Gregor's hatred for his job Tameron is driving 540 miles to college. He drives at a rate of 45 miles per hour.How many hours will it take him to get 34 of the way there?