The length of Rebecca’s rectangular garden was two times the width “w”. She increased the length and width of the garden so that the area of the new garden is (2w2+7w+6)square yards. By how much did Rebecca increase the length and width of the garden. Show your complete working.

Answers

Answer 1

Answer:

rebecca increased the length by 3 and the width by 2

Step-by-step explanation:

First we need to find the length and width by factorizing the expressio ofr the area;

A = 2w^2+7w+6

A = 2w^2+4w+3w+6

A = 2w(w+2)+3(w+2)

A = (2w+3)(w+2)

Since l = 2w

Length = 2w+3

width = w+2

This shows that rebecca increased the length by 3 and the width by 2


Related Questions

Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat

Answers

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

Please help. Find the area of the composite figure

Answers

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = 225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

If P is the incenter of triangle JKL, find PJ.

Answers

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

What is incenter?

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

For more references on incenter, click;

https://brainly.com/question/29480777

#SPJ5

Identify proportional relationships
At the beginning of the year. Adrian's savings account balance was $28. Each week, he deposits another $15
into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer:
Yes
No
Dort byoblem
Stuck? Watch a video or use a hint.

Answers

9514 1404 393

Answer:

  No

Step-by-step explanation:

The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.

__

A proportional relationship always starts at zero when the independent variable is zero.

WILL MARK BRAINLIST!!!!!!!!!

Answers

You are correct, 153 in^2.

QUICK HELP PLEASE TIME IS ALMOST UP!!

Answers

Answer: first one

Step-by-step explanation:

which statement is incorrect?

Answers

Where exactly are the alleged statements?

Find the mean of the following set of data: 12, 8, 7, 12, 6

Answers

Answer: 9

Step-by-step explanation:

12 + 8 + 7 + 12 + 6 = 45

There are 5 numbers

45 / 5 = 9

Answer:

mean = 9

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{12+8+7+12+6}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9

Give two solutions of the inequality: p ≤ 3

Answers

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

Please help marking Brainiest

Answers

Answer:

the answer is y=30x

Step-by-step explanation:

however many inches times 30 is the consistent answer to the equation    

Answer:

y=30x

Step-by-step explanation:

We can start out by writing our slope-intercept form equation: y=mx+b. In this case, our y-intercept is 0, so we can write y=mx.

Let's find the slope. We can take the points (1,30) and (2,60). We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find our slope. Plug these values in, and we get [tex]\frac{60-30}{2-1}[/tex]. Evaluate this, and our slope is 30. So, our equation is y=30x.

Hope this helped!

#3. Write the slope-intercept equation of
the line

Answers

Answer:

y = - 4x + 5

Step-by-step explanation:

(y-1)/ (5-1) = (x-1)/(-1)

y-1 / 4 = -x+1

y-1 = -4x+4

y = - 4x + 5

please help!!! it’s due at 10:00am

Answers

Answer:

False, True, False

True first one

True second one

False third one

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 ....❤

1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8

Answers

The answer is the middle option. It is ideal to solve using substitution for x in this system of equations.

A ratio of two numbers is equal to 3:8. If the smaller number is 12,find the greater number.​

Answers

The other no. is:

32

As you can see that in the ratio given, 3 is the smaller no. and 12 too.

So when we divide 12 by 3, we get 4

Then to find the other no. we need to multiply 4 with 8 (which is the other no.          in the ratio given)

Therefore, we get the other no. as 32

And also when you divide 12 by 32,

You get the answer as 3 by 8 (which is the given ratio)

Hope you found this helpful!

THANK YOU!!

Sidhdi

Simplify x + 4x + 6x

Answers

answer:

11x

step-by-step explanation:

just add them since they are like terms

x + 4x + 6x

= 11x

Answer:

11x

Step-by-step explanation:

just add them all together

x + 4x = 5x

5x + 6x = 11x

hope this helps :)

please help i’ll give brainless

Answers

Answer:

1. 12

2. 31

3. 37

4. 87

Help me again??????????????

Answers

Answer:

Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Step-by-step explanation:

First you make the fraction's denominator equal

2/5 = 4/10

Camen's water bottle is 1 8/10

Jorge's water bottle is 2 4/10

1/2 = 5/10

Make the fractions into a improper fraction

Camen's is 18/10

Jorge's is 24/10

subtract it

24 - 18 = 6

So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?

Answers

A= 50. 2.5+10= 12.5/2= 6.25x8= 50

Answer: 50 inches

Step-by-step explanation:

Evaluate the expression when x=6 and y=4 Explain how you calculated your answer
10y+x 2nd power

Answers

Answer:

Ans = 76

Step-by-step explanation:

10y + [tex]x^{2}[/tex]

=> 10 * 4 + [tex]6^{2}[/tex]

=> 40 + 36

=> 76

Hope it helps :)

HELPPP MEEEE HURRY FIND THE AREA

Answers

Answer:

254.34 in^2

Step-by-step explanation:

HELP ASAP PLEASE!!!

What is the degree measure of ABC given that A=25 & C=135?

Answers

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

             = 110°

Therefore, measure of angle ABC is 110°.

A football team took possession of the ball on the 50 yard line. They lost 5 yards on the first down, and lost another 6 yards on the play. What yard line does the team hike the ball on the third down of their possession?

Answers

Answer: The answer should be 39 yard line

Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left

The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.

Answers

Answer:

1,436.8

Step-by-step explanation:

A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?

Answers

Answer: 240 m

Step-by-step explanation:

Given

Football field measures [tex]100\ m\times 72\ m[/tex]

Another similar field of length

[tex]L=30\ m[/tex]

and width, say W is marked

So, their area must be the same

[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]

The width of the football field is 41.7m

The football measures 100m by 72 m. The school football field is similar.

Similar rectangles

For similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:

100 / w = 72 / 30

cross multiply

3000 = 72w

divide both sides by 72

w = 3000 / 72

w = 41.6666666667

w = 41.7 m

learn more on proportion here: https://brainly.com/question/582443

Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST?

Answers

Answer:

Rhombus

Step-by-step explanation:

This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.

On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

if 100g can make 24 cakes, how much flour is needed to make 48?​

Answers

Answer:

200g

Step-by-step explanation:

24x2=48

100x2=200

A printer is printing photos . For every 8 photos , the printer takes 4 minutes . Complete the table below showing the number of photos and the time it takes to print them. (The table is in the photo)

Answers

Answer:

12 .        18

    7 .             10

Step-by-step explanation:

What inverse operation do you use to solve for m?

11=m - 4

Answers

Answer:

I would use addition

Step-by-step explanation:

Since addition is the opposite of subtraction.

Answer:

Addition

Step-by-step explanation You would use addition because you can cancle out the numbers that way

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