15. A rectangle has a length of 2x - 1 and a width of 3x + 7. Find the perimeter of this rectangle.
Then find the area of the rectangle.

Answers

Answer 1

Answer:

10x + 12 and 6x² + 11x - 7

Step-by-step explanation:

The perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is length and w is width )

   = 2(2x - 1) + 2(3x + 7) ← distribute parenthesis

    = 4x - 2 + 6x + 14 ← collect like terms

     = 10x + 12

--------------------------------------------------

The area (A) of a rectangle is calculated as

A = lw

   = (2x - 1)(3x + 7) ← expand using FOIL

    = 6x² + 14x - 3x - 7 ← collect like terms

    = 6x² + 11x - 7


Related Questions

what is the slope of 2x-4y=5

Answers

the slope is 1/2x and the y intercept is -5/4

Answer:

1/2 or .5

Step-by-step explanation:

Hey There!

So the first step of this problem is to get y on one side and everything else on the other side

to do so we use inverse operations

so to get rid of the 2x we subtract 2x from each side

we would end up with -4y=5-2x

now want to get rid of the -4 on the y

to do so we would divide each side by -4

we would end up with

[tex]y=\frac{1}{2}x -\frac{4}{5}[/tex]

so we can conclude that the slope is 1/2 or .5

I know school can be hard and believe me I know sometimes u just want to quit but being in school can make a difference so I want to get u a lot of points please do your best have a good day or night​

Answers

Answer:

yes, school is hard

thanks for points

have a good day ....❤

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. If not, choose not congruent
W

Answers

Answer:

Image please

Select the two binomials that are factors of 64x2 - 36.

Answers

Answer:

B, D

Step-by-step explanation:

Earl earned $356 in gross pay. He had
$27.23 deducted for FICA taxes and $52.69
deducted for state and federal taxes. What
percent of his gross pay did he take home?

Answers

Answer:

77.5506% I believe is the answer unrounded.

77.55% rounded to the nearest hundredth.

77.6% rounded to the nearest tenth.

Step-by-step explanation:

356 = 100%

(356 - 27.23) - 52.69

328.77 - 52.69

276.08

50POINTSSSSSSSSSSSSSSSSSSS

A square has sides measuring (x-6). If the area of the square is 64 sq. inches, what is the length of each side? PLEASE SHOW WORK

Answers

Answer:

Step-by-step explanation:

square has 4 sides

area is 64

64 divided by 4 is 16

the length is 16 of each side

But if you have to subtract 6 from it then it is 22.

22-6=16

Do 64 divide 4 which will give you 16

A recipe that makes 1 1/2 dozen cookies requires 3/4 cup of sugar. Shanika wants to make 6 dozen cookies. How many cups of sugar will she need

F. 1 1/8 cups
G. 4 cups
H. 6 3/4 cups
J. 3 cups

Answers

Answer:

h

Step-by-step explanation:

trust me js divide

Solve for the missing arcs

Answers

Answer:

Step-by-step explanation:

arc KL = 60°

arc LNK = 360° - 60°

arc NJK = 180°

angle JQN = 60°

arc JN = 60°

arc JM = 60°+55° = 115°

arc MN = 55°

arc MKN = 360° - 55° = 305°

arc JML = 180°

angle MQL = 180° - 55° - 60° = 65°

arc ML = 65°

arc LN = 55° + 65° = 120°

HELP ILL GIVE BRAINLIEST what shape is the base??

Answers

Answer:

rectangle

Step-by-step explanation:

it's width is 6

it's length  is 12

it couldn't be a square


150 people attend a play.
45 of them are male.
Write the ratio male : female in its simplest form.​

Answers

Answer:

Step-by-step explanation:

If 150 people attend and 45 are male.

females=150-45=105 so

m:f=45:105 (the gcf is 15 so we simplify by dividing each term by 15)

m:f=3:7

Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca. Is he correct, if the sandwich sizes are different.

Answers

Answer:

Riley is correct

Step-by-step explanation:

Luca eats 3/6 of his submarine sandwich. Riley eats 5/6 of his submarine sandwich. Riley said he ate 2/6 more than Luca.

To find out the fraction of how much more Riley ate than Luca, we carry out Subtraction operation

= Fraction of what Riley ate - Fraction of what Luca ate

= 5/6 - 3/6

Lowe's Common Denominator = 6

= 5 - 3/6

= 2/6

Therefore, Riley is correct

Please help me with this i give brainliest.

Answers

Answer:

x = 9 + 35p

x must be less than or equal to 350 (bottom)

PLEASE ANSWER THIS QUESTION!!!!!!!!!

Answers

Answer:

the answer is 6.5 because the left side would be 44 and the right side would be 46.5

Step-by-step explanation:

Explain how you got the answer first two gets branliest

Answers

Answer:

7. f=35

8. r=4.9

9. q=23

Explanation:

7. f-22=13

+22 on both sides

f=35

8. r-3.2=1.7

+3.2 on both sides

r=4.9

9. q+8=25

-8 on both sides

q=23

Hope this helps :D

Avah was reading a 675 page novel, at a rate of 35 pages per hour.
a. Write an equation to represent the number of pages left to read ,N, and the number of
hours,h, Avah has been reading.

Answers

Answer:

N = 675 - 35h

Step-by-step explanation:

She reads 35 pages per hour.

In 1 hour, she reads 35 * 1 pages.

In 2 hours, she reads 35 * 2 pages.

In h hours, she reads 35 * h, or 35h, pages.

The book has 675 pages. The number of pages left to read is the total number of pages minus the pages she already read.

The number of pages left to read is 675 - 35h.

Equation:

N = 675 - 35h

(6a^3+7a^2) -(5a^3+9a^2+a)=(6a 3 +7a 2 )−(5a 3 +9a 2 +a)=left parenthesis, 6, a, cubed, plus, 7, a, squared, right parenthesis, minus, left parenthesis, 5, a, cubed, plus, 9, a, squared, plus, a, right parenthesis, equals

Answers

Answer:

You mean like this?

find the area of a circle with a circumference of 6.28 units....
it's hard so what is the answer

Answers

Answer:

3.14

Step-by-step explanation:

Name at least 3 ways you could lose money using person to person apps ?

Answers

Answer:

Step-by-step explanation:

Please I don't understand your question

use the binomial theorem and multiplication to expand (1- x^2)(2-3x)^3​

Answers

Answer:

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8  

Step-by-step explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms


Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm

Answers

The area of the composite figure is
A.) 32 cm^2


Hope this helps! :)

Please help out
what is the value of 3⁵×3-¹​

Answers

Answer:

81.

Step-by-step explanation:

3⁵×3-¹​

= 3^(5 + -1)

= 3^4

= 81.

Please help me!!!! My 3rd time asking for help foiling this bc I dont know how

Answers

Where’s the question?

Please someone help me ITS URGENT I WILL BRAINLIST UUUU AND MARK U 5 star!! ANYONE WHO IS GOOD AT MATHS?..

Answers

Answer:

28260 cubic cm

Step-by-step explanation:

Given,

Diameter of the cylinder = 30cm

So, radius of the cylinder = 30cm ÷2 = 15 cm

Height of the cylinder = 40 cm

There, volume of the cylinder,

[tex] = \pi {r}^{2} h[/tex]

[tex] = 3.14 \times 15cm \times 15cm \times 40cm[/tex]

[tex] = {28260cm}^{3} [/tex]

Answer:

diameter=30cm

radius=30/2=15

volume of cylinder = pi×r²×h

volume of cylinder=3.14×15²×40cm

volume of cylinder=28,260cm³

Please help!
Simplify. Your answer should contain only positive exponents.

Answers

Answer:

[tex]\frac{1}{4k^3}[/tex]

Step-by-step explanation:

It's already in a form that only ha positive exponents.  Just to state it though you could rewrite it as [tex]k*(4k^{4})^{-1}[/tex] or [tex]k*4^{-1}*k^{-4}[/tex]  The question asks for positive exponents though so yu don't need to do that.

You also need to know [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] so in this case [tex]\frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}[/tex]

so [tex]\frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}[/tex]

Find the area of each figure.
Please help!! I usually don’t ask for help I’m having trouble.

Answers

[tex]1) \: \: 28 \times 30 {cm}^{2} = 76 {cm}^{2} \\ 2) \: \: 2(19 + 39) \times 16 = 1856 {cm}^{2} \\ 3) \: \: 15 \times 16 {cm}^{2} = 240 {cm}^{2} \\ 4) \: \: 10 \times 24 {cm}^{2} = 240 {cm}^{2} [/tex]

hope it helps you ❣❣

Mark me as brainliest


PLEASE HELP

Select the correct answer.
Select the simplification that accurately explains the following statement.
42 = 24

Answers

Answer:

option c is correct

Step-by-step explanation:

Hope it helps you

Answer:

answer is c

Step-by-step explanation:


Ms. Peters has 36 red, blue, and green markers. She has an equal number of
each color of marker. She arranges the red markers in 2 equal groups. How
many red markers are in each group?
18
9
6
12

Answers

Answer:

6 markers

Step-by-step explanation:

1) Find the number of red markers

Firstly, we know that Ms. Peters has a total of 36 markers. There are 3 colours within these 36 markers. Because she has an equal number of each colour, divide 36 by 3 to find the number of red markers.

36÷3=12

Therefore, Ms. Peters has 12 red markers.

2) Find the number of red markers in each group

Ms. Peters then divides the red markers into 2 equal groups. Because we now know that there are 12 red markers, divide 12 by 2 to find this number.

12÷2=6

Therefore, there are 6 red markers in each group.

I hope this helps!

A jar has marbles in it. Three tenths of the marbles are red. Five tenths of the marbles are blue.
Two tenths of the marbles are green. Which of these fractions is equivalent to four eighths?

Answers

The red marbles are 3/10 of the total.

The blue ones are 5/10 of the total.

The green ones are 2/10 of the total.

Of these, 5/10=1/2=(1×4)/(2×4)=4/8

Therefore, five tenths is equivalent to four eighths.

Ted's company has received an order to print 10^6 pages. Ted's company has 100 machines., each of which can print 10^4 pages a day. Ted's coompany can print the 10^6 pages in 1/10 day, 1 day, 10 days, or 100 days?

Answers

Answer:

1 day because he has 100 machines not just one

Step-by-step explanation:

Every summer, Lacey goes on a week-long canoe trip with her childhood camp friends. After
the trip, she usually purchases some oars from the destination city. Her collection of oars is
organized by year and type of wood.

Answers

Answer:

5/18

Step-by-step explanation:

So sorry if this is wrong but to find the probability you must add all of your things (oars) together then find what the chance of getting that is so 4 oak 5 ash in 2010+4 oak and 5 ash in 2011 is 18 oars total and there was 5 ash in 2011 so the answer is 5/18

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