The floor of a rectangular cage has a length 4 feet greater than its width, w. James
will increase both dimensions of the floor by 2 feet. Which equation represents the
new area, N, of the floor of the cage?

Answers

Answer 1

Answer:

x² + 8x + 12

Step-by-step explanation:

Area of a rectangle = length × width

Original dimensions:

Width = x

Length = x + 4

James will increase both dimensions of the floor by 2 feet

New dimensions:

Width = x + 2

Length = x + 4 + 2

= x + 6

Area of the new rectangle = length × width

= (x + 2) × (x + 6)

= x² + 6x + 2x + 12

= x² + 8x + 12

Equation which represents the

new area, N, of the floor of the cage = x² + 8x + 12


Related Questions

Matt bowled three strings. His scores were 220, 166, and 181. What was his average for the three strings?​

Answers

Answer:

189

Step-by-step explanation:

To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.

567 divided by 3 = 189

I hope this helps :DDDDDDDDDDD

Write the equation in slope intercept form for a line that has a slope or -5 and a y-intercept of (0,2)

Answers

Answer:

y = -5x + 2

Step-by-step explanation:

y = -5x + b

2 = -5(0) + b

2 = 0 + b

b = 2

y = -5x + 2

Renita's school is 2 miles from her house. She plans to leave 30 minutes before school and hopes to make it on time. How long will it take Renita to ride to school?

Answers

Answering is 20:

Step-by-step explanation:

Because it takes her 5 min for a half of mile so add it up and you get 20

Mrs. Thomas has two rolls of garden edging that are each 96 inches long.

She wants to make two new flower beds in her back yard. Each flower bed

will be bordered by one roll of the edging. One flower bed will be in the

shape of a quadrilateral. The other will be in the shape of a triangle.


Please answer all parts. I will give brainliest for correct answer!

Answers

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Help me please i will mark brainliest

Answers

Answer:

The answer is 1/5

Step-by-step explanation:

The answer is 1/5

Please help me choose the right answer

Answers

package 1 because 100cm is in 1m and there is 2 in package 2

Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills

Answers

Answer:

There are 3 friends (Judy + 2 friends) who won $145.00

They want to share the winnings equally, but they got:

one $100 bill

four $10 bills

five $1 bills.

Assuming that they can share only those bills, the only way to share the winnings equally is:

Each friend gets one $10 bill

Each friend gets one $1 bill

Then each one gets $11.

And there is a surplus of:

one $100 bill (that can't be divided)

one $10 bill (that can't be divided)

two $1 bill (that can't be divided)

Then:

There is a common pool of $100 + $10 + 2*$1  = $112

And each one of the 3 friends gets $10 + $1 = $11

In the case where they can change the bills, each friend will get:

$145/3 = $48.33

HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP

Answers

A) x = 15

steps:

90 = 5x + 15

-15 -15

75 = 5x

÷5 ÷5

15 = x

explanation:

< P is 90°

so you have the equation of < P equal 90 to find the x

B) < RQP = 33

steps:

2x + 3

2(15) + 3

30 + 3

33

explanation:

now that you know what x equals you just plug in 15 for the x and solve

Please help me!!!!!!!!!!!!

Answers

Answer:

16.03

Step-by-step explanation:

What is 35% of 500?
Help please

Answers

Answer:

175

Step-by-step explanation:

500 times 35/100

simplify

Answer:

175

Step-by-step explanation:

Solve by completing the square.
x2 + 12x + 8 = 0

Answers

X= -4/7 please help me out now and answer number 10 on my questions

Set up the equation and solve.
5) 700 reduced by 4 times Mia's age is 500. How old is Mia?

Answers

Answer:

50

Step-by-step explanation:

the equation is 700-4x=500


Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it

Answers

Answer:

28 feet tall

Step-by-step explanation:

find the area and circumference of each figure below. use 3.14 for pi. if needed, round your answer's to the nearest 100ths place.​

Answers

Answer:

[tex]a \\ area = 10 \times 10 \times 3.14 = 314 \\ circumference = 2 \times 10 \times 3.14 = 62.8 \\ \\ b \\ \: area = 6 \times 6 \times 3.14 = 113.04\\ circumference = 2 \times \times 6 \times 3.14 = 37.68[/tex]

You have a jar of 20 jellybeans, and 4 are red. Which fraction represents the probability that you will pick a red jellybean out of the jar?
A) 4/20
B) 16/20
C) 20/4
D) 20/16

Answers

Answer:

A

Step-by-step explanation:

A probability as a fraction has a value between 0 and 1. That lets out C and D.

B is the answer to a probability of not red, so B is not correct.

The answer is A

The answer would be A (4/20)

please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

90 degrees

Step-by-step explanation:

Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).

Answers

Answer:

3(a+4)

Step-by-step explanation:

Is 3 a solution to 3x + 5 = 5x + 6 - 2

Answers

Answer:

no

Step-by-step explanation:

it's X= 0.5

group like terms

3x - 5x = 6 - 2 - 5

simplify the equation

-2x = -1

divide through by the coefficient of X

x = 0.5

1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

38 ounces.

Thanks.Hope it helps.

Answer:

32 ounces........

..

Step-by-step explanation:

.................

Pls help i know this should be easy but pls help i only have 1 point left after posting this

Answers

Answer:

I think it will be

1. integer

2. whole

3. rational

4. rational

I'm not sure but I think this is correct

Step-by-step explanation:

Identify the domain and range of each function. y = 4^x-5 + 3

Answers

Answer:

(- infinity, infinity), (x | x € R)

(-2, infinity), {y | y > -2)

Step-by-step explanation:

I think that's right not sure though

The answer is Negative infinity to infinity, 3 to infinity

An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?

Answers

Answer:

66

Step-by-step explanation:

Since these two events are independent, multiply the two probabilities together:

6*11 = 66 (choices)

solve for x in the equation

Answers

Answer:

x = 12

Step-by-step explanation:

This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°

So subtract 20° from 90° and you get 70°

Next you can just (6(12)-2) or continuously substitute until you get the right answer.

The diameter of a circle is 13 ft. Find its area to the nearest tenth.

Answers

132.7 ft

explanation:
a=(pi)r^2
a=(3.14)[(13/2)^2]
a=132.665

What is the solution to the equation? a+5 2/3=9​

1. a+5 2/3=9
a+5 2/3+5 2/3=9-5 2/3
a=3 1/3

2. a+5 2/3=9
a+5 2/3+5 2/3+=9+5 2/3
a=14 2/3

3. a+5 2/3=9
a+5 2/3-5 2/3=9+5 2/3
a=14 2/3

4. a+5 2/3=9
a+5 2/3-5 2/3=9-5 2/3
a=3 1/3

Answers

1-a=31/3
Step-by-step
a+52/3=9
a+17/3-17/3=9-17/3
a=10/3=3 1/3
Hope this help☺️

Answer: 1-a=31/3

Step-by-step

Step-by-step explanation:

I asked my math teacher, we did the problem together, and I belive this other guy is also right.

Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?

Answers

Given:

[tex](3x+7)^2[/tex] is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.

So, the resulted polynomial can be written as:

[tex]P(x)=3-(3x+7)^2[/tex]

On simplification, we get

[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex]               [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]P(x)=3-(9x^2+42x+49)[/tex]

[tex]P(x)=3-9x^2-42x-49[/tex]

[tex]P(x)=-9x^2-42x-46[/tex]

Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].

broccoil cost 3.14$ a pound at the market if mary bought 2.5 pounds what was the cost

Answers

7.85 dollars because 3.14 is the price of one pound your buying 2.5 so you times 3.14 by 2.5

i need an answer...............................

Answers

Answer:

8 i think

Step-by-step explanation:

What is 2^4 in standard form?

Answers

Answer:

2^4=16

Step-by-step explanation:

2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.

If this has helped you please mark as brainliest

Solve for p.
2p + 1=1
5p + 6=7

Answers

P = -1/9

I hope it’s helps you :)

Answer:

-1/9

Step-by-step explanation:

We need to solve out and find out the value of p . The given equations is.

=> 2p + 1/ 5p + 6 = 1/7

=> 7 ( 2p + 1) = 5p + 6

=> 14p + 7 = 5p + 6

=> 14p - 5p = 6-7

=> 9p = -1

=> p = -1/9

Hence the value of p is -1/9

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