A rectangle has length 4 inches and width 2 inches. If the length and width of the rectangle are each reduced by 50 percent, by what percent will the area of the rectangle be reduced?

Answers

Answer 1

Answer: 25%

Step-by-step explanation:

Given: A rectangle has length 4 inches and width 2 inches.

Area = Length x width

= 4 inches x  2 inches

= 8 square inches

If length is reduced by 50% , then length [tex]=0.5\times4=2\text{ inches}[/tex]

If width is reduced by 50% , then length [tex]=0.5\times2=1\text{ inch}[/tex]

Reduced area = (reduced length) x (reduced width)

= 2 inches x 1 inch

= 2 square inches

The percentage of the area of the rectangle be reduced :-

[tex]\dfrac{\text{Reduced area}}{\text{Original area}}\times100 \\\\=\dfrac{2}{8}\times100\% \\\\=25\%[/tex]

Hence, the percent of the area of the rectangle be reduced = 25%


Related Questions

What is 16 divided by 5

Answers

Answer:

3.2

Step-by-step explanation:

what is the answer. can someone help me .​

Answers

Answer:

your photo is not visible for me

Answer:

54

Step-by-step explanation:

11x=26=180

x=14

8x+p+14=180

p=54

A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue

Answers

1:1.67. You divide both sides by 1.8 to reduce the smaller measurement to 1.

1.8/1.8 : 3/1.8 = 1:1.67 and there you go.

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer. If he answered 30 questions and scored 20 points, write a system of equations.

Answers

Given:

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Total question answered by Steve =  30

Total score = 20 points

To find:

The system of equations for the given problem.

Solution:

Let x be the number of correct answers and y be the number of wrong answers.

Total question answered by Steve =  30

[tex]x+y=30[/tex]       ...(i)

Steve gets 4 points for every correct answer and loses 1 point for every wrong answer.

Score for 1 correct answer = 4

Score for x correct answer = 4x

Score for 1 wrong answer = -1

Score for y correct answer = -y

Total score = 20 points

[tex]4x-y=20[/tex]        ...(ii)

The system of equations contains (i) and (ii).

Therefore, the system of equations have two equations [tex]x+y=30[/tex] and [tex]4x-y=20[/tex].

Do these ratios form a proportion?
$42 per 33 customers
$28 per 22 customers
yes
no

Answers

No I have to have a denomination

Answer:

yes

Step-by-step explanation:

[tex]\frac{42}{33}[/tex] = [tex]\frac{14}{11}[/tex] and [tex]\frac{28}{22}[/tex] = [tex]\frac{14}{11}[/tex]

Both reduce to [tex]\frac{14}{11}[/tex] and form a proportion

GIVING BRAINLIEST FOR CORRECT ANSWER!!!!

Answers

Answer:

All systems have 2 real solutions.

Step-by-step explanation:

there are X and Y unknowns.

what is dark matter
can we travel faster than speed of light
what is chlorophyll​

Answers

Step-by-step explanation:

No we can't travel faster than speed of light as it is the fastest

Chlorophyll is a pigment that absorbs light of particular wavelengths (mainly blue and red) .Chlorophyll in green plants spread out on stacks of membranes in chloroplasts.

Dark matter ia a material that we cannot see but we know that it exists because of it's effect on the objects and it is composed of particles that do not absorb,reflect or emit light.

Answer:

1. Dark matter is material that don't seen directly, it neither absorb anything, neither reflect and emit light.

2. No there is nothing which can travel faster than light.

3. In simple language, chlorophyll is those pigment which is present in all green plants and mainly responsible for the process of photosynthesis

Step-by-step explanation:

1.We can say there is dark matter but the only problem is we don't have any access to see it.

2.there is nothing faster than light because speed of light and time doesn't exist beyond any point.

Evaluate the following expression -7x/7+9)

Answers

Answer:

− x+9

Step-by-step explanation:

7

7

+

9

{\color{#c92786}{\frac{-7x}{7}}}+9

7−7x​+9

+

9=−

+

9

Who's ur favorite song artist?

Answers

Probably Metallica or Pink Floyd
I like drake, he drops greaaatt music every year, you?

Show work and I will give you brainliest

Answers

Answer: There is not enough info and I can't see  because the picture is not clear enough. Sorry. :(

Merry (early) Christmas tho! :)

Find the slope of the line that passes through (10, 10) and (3, 1).

Answers

Answer:

-7/-9 pretty sure

Step-by-step explanation:

x2-x1

y2-y1

3-10= -7

1-10= -9

PLEASE HELP ASAP!!!
3 + 2x² + 3x + 2x² + 5 = ?

Answers

Answer: 4x² + 3x + 8

Work: I combined Like Terms, put them in the right form, from the x² to the number.

I hope this helps and Happy Holidays! :)

Answer:

25

Step-by-step explanation:

3+2=5×2 ×2 +5=25

add the 10 to the other 10 and then add 5

Write the number in scientific notation

307,000,000

Answers

Answer:

3.07×10^8

Step-by-step explanation:

:)

hope this helps

Answer: 307,000,000 in scientific notation is 3.07 × 10^8.

18. Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3

20. Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2

21. Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2

Answers

Answer:

(-4,-2); y=4x+2

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

Answers

Answer:

2 13/20 cm

Step-by-step explanation:

The screen on Brianna's new phone is 2.65 cm. Long. What mixed number represents the length of the phone screen ?

From the above question, we are converting, from decimal to mixed number , hence:

2.65 has 2 decimal places

Hence:

2.65 cm = (265/100)cm

= ( 2 + 65/100) cm

= ( 2 13/20 )cm

The mixed number that represents the length of the phone screen is 2 13/20 cm

Is linear or nonlinear?

Answers

Answer:

Linear

Step-by-step explanation:

8. A school raffle sold 480 tickets. Students were charged $1/ticket and teachers $5/ticket. The total receipts were $560. How many of each ticket were sold? 9. An airplane travels 5432 km. On the outward trip it took 7 hours with the wind. On the return trip, it took 8 hours against the wind. What was the speed of the plane and the speed of the wind? (Remember: distance = speed x time)

Answers

Answer:

8. Number of student tickets = 460

Number of teacher tickets = 100

9. Speed of plane = 727.5 km/hr

Speed of wind = 48.5 km/hr

Step-by-step explanation:

8.

Let number of students' tickets = [tex]x[/tex]

Let number of teachers' tickets = [tex]y[/tex]

Total number of tickets = 480

[tex]x+y=480[/tex] ...... (1)

Price for one student's ticket = $1

Price for one teacher's ticket = $5

Total money collected by the tickets = $560

[tex]x +5y = 560[/tex] ...... (2)

Subtracting (1) from (2):

[tex]4y = 80\\\Rightarrow y = 20[/tex]

By equation (1):

[tex]x = 460[/tex]

Number of student tickets = 460

Number of teacher tickets = 100

9.

Let the speed of airplane in still air = [tex]u[/tex] km/hr

Let the speed of air = [tex]v[/tex] km/hr

Total distance = 5432 km

Time taken with the wind = 7 hours.

Speed with the wind = [tex]u+v[/tex] km/h

Time taken against the wind = 8 hours.

Speed with the wind = [tex]u-v[/tex] km/h

Using the formula:

Distance = Speed [tex]\times[/tex] Time

[tex]5432 = (u+v)\times 7\\\Rightarrow u +v = 776 .... (1)[/tex]

[tex]5432 = (u-v)\times 8\\\Rightarrow u - v = 679 .... (2)[/tex]

Adding (1) and (2):

[tex]2u = 1455\\\Rightarrow u = 727.5\ km/hr[/tex]

By equation (1):

[tex]v = 48.5\ km/hr[/tex]

Speed of plane = 727.5 km/hr

Speed of wind = 48.5 km/hr

Please help I will give brainliest!!!

Answers

Answer:

I think it is C.

Step-by-step explanation:

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is 96 square feet. What is the width of the sidewalk?

Answers

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

A rectangular pool has a sidewalk around it. Width of the sidewalk is 1 feet.

Given

A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is 96 square feet.

Let 'w' be the width of sidewalk

The pool measures 6 feet by 10 feet . The width of the rectangular pool with side walk is 6+x+x=6+2x

The length  of the rectangular pool with side walk is 10+2x

The total area of the pool and side walk is length times width

Total area= [tex](6+2x)(10+2x)\\[/tex]

[tex]96=(6+2x)(10+2x)\\96=60+32x+4x^2\\60+32x+4x^2-96=96-96\\4x^2+32x-36=0[/tex]

apply quadratic formula to solve for x

[tex]x=\frac{-32\pm \sqrt{32^2-4\cdot \:4\left(-36\right)}}{2\cdot \:4}\\x=\frac{-32\pm \:40}{2\cdot \:4}\\x= \frac{-32+40}{2\cdot \:4}=1\\x=\frac{-32-40}{2\cdot \:4}=-9[/tex]

Width of the sidewalk cannot be negative

so the width of the sidewalk is 1 feet

Learn more :  brainly.com/question/21860114

Please help in this question with explanation. pls​

Answers

Answer:

V = x³ - 3x² + 3x - 1

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side )

Here s = x - 1 , thus

V = (x - 1)³

   = (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL

   = (x - 1)(x² - 2x + 1) ← distribute

   = x³ - 2x² + x - x² + 2x - 1 ← collect like terms

   = x³ - 3x² + 3x - 1

The blue segment below is a radius of oo. What is the length of the diameter
of the circle?
A. 4.9 units
B. 14.7 units
C. 9.8 units
D. 19.6 units

Answers

Answer:

D.   19.6 units

Step-by-step explanation:

diameter = 2r  

where r = 9.8

plugin value of r = 9.8 into the formula:

diameter = 2(9.8)

               = 19.6 units

The length of the diameter of the circle is option D 19.6 units.

What is the diameter?

Diameter is defined as the line from one point in the circle to the other point through the center of the circle.

WE know that the diameter = 2r  

where r = 9.8

Substitute value of r = 9.8 into the formula:

The diameter = 2(9.8)

The diameter = 19.6 units

Hence, the length of the diameter of the circle is option D 19.6 units.

Learn more about circle here;

brainly.com/question/12512221

#SPJ2

How is the following reciprocal function f(x)= [tex]\frac{1}{x+2}[/tex] decreasing?

Answers

Answer is b for sure I am just trying to get point not right answer decrees

A laptop was originally sold for 975. The laptop is now on sale for 828.75. What percent is the percent markdown?

Answers

Answer:

15%

Step-by-step explanation:

975-828.75/975

Answer:

There was a 15% mark down.

Step-by-step explanation:

975 x 0.15 (15%) = 146.25

828.75 + 146.25 = 975

Check Work:

975 - 146.25 = 828.75

baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Tickets prices for the upper deck are 75% of the cost of tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y the number of tickets for the upper deck, that someone can buy for no more than $800?

A.) 42x + 56y < 800
B.) 42x + 56y > 800
C.) 42x + 31.5y > 800
D.) 42x + 31.5y < 800​

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer is D

tan22° + tan23° tan22°. tan23° = 1 prove that ​

Answers

Answer:

Formula:(from trigonometry)

Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)

Let A=22 degrees,B=23 degrees

Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)

From trigonometry we know tan45=1

Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)

=> 1-tan22tan23=tan22+tan23

=> tan22+tan23+tan23tan22 =1

Hence proved

SOMEONE PLEASE HELP ME FOR BRAINLY IF CORRECT
Paula refills the flour bin after it has been empty for a
while. She pours in the flour at a constant rate. She stops
pouring flour when the bin is full.
Which graph could represent this scenario?

Answers

Answer:

A

Step-by-step explanation:

Its A which ever is the one that is full

The Bailey’s spent $18.00 for 4 two-liter sodas for the birthday party this weekend. What is the number of soda bottles that could be bought for $45.00?

Answers

Answer:

10

Step-by-step explanation:

So I belive the answer consists of- 18 divided by 4 equals 4.5 and 45 divided by 4.5 is 10 so ten should be your answer.

Which is the fraction 14/5 written as a mixed number

Answers

2 and 4/5

Or

Two and four fifths

Rewrite 2/100 as a percent. *
answer fast please!

Answers

2/100
Move decimal over 2 times
Answer: 0.02

Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?

Answers

Answer:

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

Step-by-step explanation:

The rule of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ LAMP is a square

∵ The sides of the square are equal in lengths

LA = AM = MP = PL

Let us find the length of one side of it

∵ L = (-2, -3) and A = (4, -1)

x1 = -2 and y1 = -3

x2 = 4 and y2 = -1

→ Substitute them in the rule of the distance above to find LA

∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]

∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]

∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]

→ Simplify the root

LA = 2[tex]\sqrt{10}[/tex] units

∵ The perimeter of the square = 4 × side

∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]

∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]

The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units

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