The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :

Answers

Answer 1

Answer: length = 10 yards

Width = 4.5 yard

Step-by-step explanation:

Let the width be represented by x.

Since the length of a rectangle is 1 yd more than twice the width. This will be:

= (2 × x) + 1

= 2x+1

Area = 45

Note that length × breadth = Area

(2x + 1) × x = 45

2x² + x = 45

Equate the equation to 0

2x² + x - 45 = 0

2x² + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9) = 0

2x = 9

x = 9/2

The width is 4.5 yard

Length = 2x + 1

= 2(4.5) + 1

= 9 + 1

= 10 yard


Related Questions

Find the value of x
If 2x = 100​

Answers

Answer:

x=50

Step-by-step explanation:

If 2*x=100

Then x is :

x=100:2

x=50

Step-by-step explanation:

2x=100

x=100/2

x=50.

keep learning sis !

(8,1), (-2,-5) midepoint

Answers

Answer:

(3, -2)

Step-by-step explanation:

The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5.  We add 5 to -2, obtaining 3 units.

The y-coordinate of the midpoint is found similarly.  The vertical distance between the two given points is 1 - (-5), or 6 units.  Half of that is 3 units.  Adding 3 units to -5 yields -2.

The midpoint is (3, -2).

Thus, the coordinates of the midpoint at (-7, 6)

solve for x
3x - (8-x) = 47

Answers

x=13.75 in decimal form

3 liters of milk divided by 20

Answers

Answer:

0.15 Per person/number!

Step-by-step explanation:

3liters divided by 20

should I be worried about my upcoming exams?​

Answers

Of course! Just study hard, exams are a big part of your grade most of the time! I also have exams

Answer:

i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good

Step-by-step explanation:

brainlyest please I'm trying to get my thing up

find total surface area of cylinder is R = 7 cm and H = 10 cm​

Answers

Step-by-step explanation:

Given radius , r = 7cm

and height , h = 10cm

Surface Area of Cylinder

[tex] = 2\pi {r}^{2} + 2\pi \: rh \\ = 2\pi( {7}^{2} ) + 2\pi(7)(10) \\ = 2\pi(49) + 2\pi(70) \\ = 98\pi + 140\pi \\ = 238\pi {cm}^{2} [/tex]

I will leave it in terms of pi as i am not sure how you want to leave your answer as.

Brainliest if answer good

Answers

Your not showing the multiple choice and I can’t see it good

Solve using substitution. y = 5 7x - 8y = -12​

Answers

Step-by-step explanation:

y=57x-8y=-12

so we put the Y

y=-12

-12=57x-8y

57x-8x(-12)=-12

(-36/19,-12)<---- answer

The population of town is 32600. about 27% are over 60 years old. About 19% are 16 or under. How many are between 16 and 60?

Answers

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604

Applying Math
4. Explain Look at the
problem about the jogger.
Why does (3 m/s)
become (9 m/s2)?

Answers

the answer is because 3 squared =9

pls help asap! ill give brainliest:))

Answers

Answer:

the answer should be 38.75

Please do this equation-Solve 4w+6=38

Answers

Answer:

w = 8

Step-by-step explanation:

4w+6=38

subtract 6 from each side of the equation:

4w = 32

divide both sides by 4:

w = 8

Answer:

4w+6=38

4w=38-6

4w=32

w=32/4

w=8

find the measure of each interior angle of a regular polygon with the following number of size 6​

Answers

Answer

number of side(n)=6

formula to calculate each interior angle =((n-2)×180)/n

now,

((6-2)×180)/6

(4×180)/6

720/6

120

may this will help you

Answer:

120°

Step-by-step explanation:

n = 6

Work:

[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]

Mr. Roy is scheduled to work less than 18 hours this week. He has already worked 7 hours. If x is the remaining number
of hours Mr. Roy could work this week, which inequalities represent the number of remaining hours
Mr. Roy could be
scheduled to work this week? Select all that apply.
A 2+7 > 18
B 2 + 7 < 18
C 2 +18 > 7
DI > 11
EI < 11

Answers

Answer:

x + 7 > 18

Step-by-step explanation:

Answer:

The answer should be B

Step-by-step explanation:

Assuming x is the 2 then 2+7 should equal 9 and 9 would represent less than the amount Roy wanted to work out which would be the ideal one for him since he wanted to work out less than 18 hours.

-6(-3x-3)=6(1+3x) solve

Answers

Answer:

x=-0.6

Step-by-step explanation:

-3x-3=-1

-3x=-1+3

-3x=2

x=-2/3

john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month

a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode

Answers

There is not enough information to give an answer you do not inform us of how much money needs to be put into this pension fund. That information is needed to solve.

MULTIPLE CHOICE !! HELP

Answers

Answer:

Its D

Step-by-step explanation:

Help me please!!! I’ll mark brainliest!!

Answers

Answer:

all the answers are c on that test my teacher did that same exact test

Step-by-step explanation:

mark brainliest!

Is –2,823,680 − 8,957,599 positive or negative?

Answers

Answer:

negative

Step-by-step explanation: it has negative signs

It’s negative. Hope this helps:)

does anyone know how to do this

Answers

Answer:

hello

bring the side of the first part of the triangle then you can to bring the (x) of the second traingle

Classify the triangle based on its angles.

Answers

Answer:

Acute triangle (Also a scalane triangle)

Step-by-step explanation:

G ,J and H are all acute

Find the median of the data. 12,33,18,28,29,12,17,4,2

Answers

Step-by-step explanation:

Answer:17

Step-by-step explanation: you’re welcome

22. A carton of milk holds 10 cups. A recite
for strawberry milkshakes requires 3/4 of a cup
of milk. How many recipes could you make
with the carton of milk?

Answers

Answer:

7

Step-by-step explanation:

Just simply divide 10 with 3/4

[tex]10*\frac{3}{4}\\\\=\frac{15}{2}[/tex]

Now you can't make 7.5 recipes and also You can't make 8 recipes either [if you round up the value].

Now round down the value

the answer is 7

Which is equivalent to 3/84 ?
VEA *
+/W
78%
1/8*
3
4x

Answers

The third one it could be one.

At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?

Answers

Answer: 10 books

Step-by-step explanation:

Let the number of books bought be represented by x.

Let the number of dvds bought be represented by y.

The information given in the question can be formed into an equation as:

x + y = 18 ........ i

0.50x + 0.75y = 11 ....... ii

Multiply equation i by 0.75

Multiply equation ii by 1

0.75x + 0.75y = 13.50 ........ iii

0.50x + 0.75y = 11 ........ iv

Subtract iv from iii

0.25x = 2.50

x = 2.50/0.25

x = 10

Samuel bought 10 books

Help me with this question please!

Answers

Answer:

24, 21, 15, 12

Step-by-step explanation:

Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.

[tex]y=30-3(2)=30-6=24[/tex]  [tex](2, 24)[/tex]

[tex]y=30-3(3)=30-9=21[/tex]  [tex](3, 21)[/tex]

[tex]y=30-3(5)=30-15=15[/tex]  [tex](5, 15)[/tex]

[tex]y=30-3(6)=30-18=12[/tex]  [tex](6, 12)[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.

__

If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...

  y = 30-3(2) = 30 -6 = 24 . . . for x=2

-3x=6.3

what is x value

Answers

Answer:

-2.1 so you divide 6.3 and -3 and then boom that your answer

Answer:

[tex]x=-2.1[/tex]

Step-by-step explanation:

1. Solve the equation using division

[tex]\frac{-3}{-3} x=\frac{6.3}{-3}[/tex]

2. Solve equation

[tex]x=-2.1[/tex]

3. Check answer

[tex]-3(-2.1)=6.3\\6.3=6.3[/tex]

Sandra notices a fourth racer called the Whirlwind. Its poster says it covers 1232 yards in 180 seconds. She wants to compare the Whirlwind with the other racers. What is the Whirlwind's speed in yards per seconds to the nearest tenth?

Answers

Answer:

6.8yards/seconds

Step-by-step explanation:

Speed = Distance/Time

Given the following

Distance covered = 1232 yards

Time taken = 180 seconds

Substitute to get the speed

Speed  = 1232/180

Speed  = 6.84

Hence whirlwind's speed in yards per seconds to the nearest tenth is 6.8yards/seconds

Need ASAP please help

Answers

Answer:

POSSIBLY 1

Step-by-step explanation:

I need help on this lol​

Answers

Answer:

-62

Step-by-step explanation:

180-w+49(angles  on  a straight line=180)

angles on a triangle=180

Hence,

         180-w+49+w+17+w-4=180

collect the like terms

180+49+17-4+w+w-w=180

242+w=180

Take 180 to the other side and also w

242-180=-w

62=-w    same as w=-62

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