The width of a rectangle is 1units less than the length. The area of the rectangle is 42 units

The Width Of A Rectangle Is 1units Less Than The Length. The Area Of The Rectangle Is 42 Units

Answers

Answer 1

Answer:

Step-by-step explanation:

w=l-1

∵A=l×w

∴A=l×(l-1)

⇒42=l²-l

⇒l²-l-42=0 (After subtracting 42 from both sides)

Two factors of 42 that add to give negative 1 :-7+6

∴ (l-7)(l+6)=0

∴ l=7 or l=-6

but remember that length is a scalar quantity, hence l≠6 but l=7.

I hope this helped you solve this math problem and made you better understand


Related Questions

help me out?? thank you so much whoever does!!

Answers

43º é  th

dgggg  ggddddddd

The sum of the interior angles of a regular 16-gon is

Answers

Answer:

The answer should be 2520

A farm sells peaches in boxes . Using the table , how many peaches will be in 12 boxes ? Please help

Answers

Answer: 144

Explanation:

Number of boxes times 12 will give u number of peaches.

Hope this helps and can u plz mark brainliest,if u can?

E.J. calls people at random to conduct a survey. So far, 40 calls have been
answered and 120 calls have not been answered. What is the approximate
probability that someone answers the next call he makes?
O A. 75%
ОВ. 0.4
C.
D. 0.25
PLEASE HELP I DONT HAVE MUCH TIME

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

The Correct Answer Is D. 0.25 I Did The Exam

Step-by-step explanation:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person 2/3 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answers

Answer:

5 hrs  19.57 Minutes will be taken to prepare 1575 Bags by Ashley & her 4 friends if Ashley take 2/3 minute to prepare a bag & her each friend takes 75% Longer

Step-by-step explanation:

Ashley Takes  2/3  minute to prepare a bag

=> ashley prepare bag in 1 minute = 3/2  

Her friends takes 75%  Longer to prepare a bag

time taken by her friends =  2/3  + (75/100)(2/3)

= (2/3)( 1  + 3/4)

= (2/3)(7/4)

= 7/6  Minutes

Her one friend prepare bag in 1 minute =  6/7

Bag prepared by Ashley & her 4 friend in 1 Minute

=  3/2  +  4*6/7

=  (21 + 48)/14

= 69/14  Bag

69/14   Bag prepared in 1 minute

1 Bag prepared in    14/69   minutes

1575  bags prepared  in   1575  * 14/69

= 319.57 minutes

= 5 hrs  19.57 Minutes

which of the following are solutions to the inequality -7x+14> -3x -6

Answers

Answer:

x<5

Step-by-step explanation:

In a cookie jar containing 6
6
chocolate

chip cookies, 8
8
wafer cookies and 10
10

double chocolate cookies, what is the

probability that a person who isn't looking

when they get a cookie will get a chocolate

chip cookie?

Answers

12/24 so probability will be 50% chance

x is 6 or less and more than – 5
A: – 5 <
x
≤ 6 B: – 5 >
x
≤ 6 C: – 5 ≤
x
≤ 6 D: – 5 <
x
< 6 E: – 5 ≤
x
< 6

Answers

Answer:

A

Step-by-step explanation:

X is 6 or less so we can start there  x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.

The expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The statement of inequality is x is 6 or less and more than – 5

The inequality for x is 6 or less ,

⇒ [tex]x\leq 6[/tex]

The inequality for x is more than – 5

⇒ [tex]x > -5[/tex]

Thus x is 6 or less and more than – 5 can be written as inequality,

⇒ [tex]-5 < x\leq 6[/tex]

Hence we can conclude that the expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

Learn more about inequalities here

https://brainly.com/question/20383699

#SPJ2

please answer correctly, will give brainlie'st, explain gow to got the answer.
Evaluate:

10 + (a ³ - b ) for a = 3 and b = 8

8
11
18
29

Answers

Answer:

29

Step-by-step explanation:

Using PEMDAS, you will first evaluate the parenthesis, then exponents, (skip multiplication and division since it isn't in this problem), then addition/subtraction (order doesn't matter). So, plug in a and b where they correspond -> (3^3 - 8) which simplifies to (27 - 8) = 19. Finally add 10 + 19 = 29

hope this helps!

Answer:

29

Step-by-step explanation:

10 + (a^3 - b)

plug in your variables

10 + ((3)^3 - (8))

solve inside the parenthasis

10 + (3^3 = 27 - 8 = 19)

now we have:

10 + (19)= 29

Please help ASAP!!!!Determine the total number of outcomes.
Picking a card from a standard deck then rolling a standard die.
A. 312
B. 58
C. 2
D. 46

Answers

Answer:

I believe it would be A

Step-by-step explanation:

A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B

Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?
A.
2 feet
B.
4 feet
C.
3 feet
D.
2.5 feet
E.
3.5 feet

Answers

Answer:

A: 2 Feet

Step-by-step explanation:

Got it right

I will mark you brainlist!

Jason agreed to make 12 payments of $38.50 to buy a new T.V. SO far he has made 8 payment. How much more money does he owe?

Answers

12x38.50=462
$38.50x8=308 …
so 462-308=154
meaning he owes $154

Vickie and Amy made $23.10 together selling cookies. Vickie made twice as much as Amy. How much did Vickie make? PLSS Help! giving brainliest!!

Answers

Answer:

amy made 5.775 while vickie made 17.325

Step-by-step explanation:

i dunno

I think the answer is $15.40, because that divided by 2 is $7.70 and if u add $7.70 and $15.40, you get $23.10 together

This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last year’s price. What was the old selling price?

Answers

15 percent of 359 is 53.85
subtract 359 minus 53.85 and you get 305.15

your cousin ben is confused about his catholic faith because most of his friends are member of another.HOW WILL YOU BRING CHRIST LIGHT IN THE FOLLOWING SITUATION???​

Answers

You don’t, let him be want he wants to be


Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER

Answers

Answer:

how would i know the answer

Step-by-step explanation:

A quadrilateral WXYZ has vertices W(3, −5), X(1, −3), Y(−1, −5), and Z(1, −7).
What are the vertices of r(90°, O) (WXYZ)?

Answers

Therefore, the required vertices after rotation are W'(5,3), X'(3,1),Y'(5,-1) and Z'(7,1).

Will give brainiest help please


Write the equation of the line in Slope-Intercept Form.
(-2,3),(0,-1)

Answers

The slope intercept form is y=-2x-1

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Answers

Answer:

A and C are parallel

Step-by-step explanation:

They both are 70 degrees

Answer and Step-by-step explanation:

Lines A and C MUST be parallel.

This is because they both have the same vertical angles, that being 70 degrees. The other lines have different angle measures, so those can't be parallel.

So, the answer is:

D. A and C

#teamtrees #PAW (Plant And Water)

helpp
Lily bought shares for $15 each.
When she sold the shares she made
a profit of 35%.
What price did she sell the shares for?

Answers

Answer:

profit %=35%

cp=Rs15

sp=?

profit amount =?

now,

sp=35%of cp

=35 of 15

__

100

= 5.25

again,

sp =cp + profit

=15+5.5

=20.5#

Step-by-step explanation:

hope it helps

Solve the system in the image below

Answers

( -4/3, 11/9) correct me if i’m wrong
The correct answers are x = - 4, y = 3

Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.

Give your ratio in its simplest form.

Answers

the ratio is 1-4,5 or 2-9 if you want whole numbers where the slower number are the bananas and the higher the apples

Answer:

1,260:280

or

1,260 to 280

or

1,260/280 Simplified → 4 1/2

Step-by-step explanation:

Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.

which rule would you use to test this parallelogram​

Answers

Answer:

Opposite sides are congruent

Step-by-step explanation:

you can create equations -18 + 7x = 3x + 14 and 13y = 9 + 10y to solve for x and y to find the length of each side and whether they(the two pairs of opposite sides) are congruent or not

Opposite sides are congruent

without using calculator or table find the value of sin 15°​

Answers

Answer:

.25881

Step-by-step explanation:

sin15

=sin(45-30)

=sin45.cos30-cos45.sin30

=(0.707×0.86)-(0.707×0.5)

=(0.6082)-(0.3535)

=0.25

The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, and interquartile range of the data

Answers

The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.

In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.

Answer:

Kindly check explanation

Step-by-step explanation:

Firstly, we need to write out values if the dataset :

Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.

For the stem plot attached :

Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The mean :

Σx / n

n = sample size = 10

= 225 / 10

= 22.5

Arranging data on ascending order :

08, 12, 17, 18, 19, 22, 23, 31, 35, 40

The median :

1/2(n+1)th term

1/2(11)th term = 5.5 th term = (5+6)th term / 2

Median = (19+22)/2 = 20.5

Mode = all dataset (since they all occur once).

Range = (maximum - minimum) = 40 - 8 = 32

Interquartile range : (Q3 - Q1)

Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term

Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33

Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term

Q1 = (12+17)/2 = 14.5

Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5

Answer:

Median: 11

Mode: 3

Range: 30

Step-by-step explanation:

Just took the test :D

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer:

6/7

Step-by-step explanation:

Find the equation of the line which passes through (-2,-2) and (2,-4).​

Answers

See photo hope it helps

Equation of a line is given by

m (x - x¹) = (y - y¹)

where m is the gradient [tex]m \: = ( {y}^{2} - {y}^{1} ) \: \div ({x}^{2} - {x}^{1} )[/tex]

where (x¹ , y¹ ) and (x² , y²)

(-2,-2 ) and (2 , -4)

m = ( -4 - (-1) ) ÷ ( 2 - (-2) )

m = ( -4 + 1 ) ÷ ( 2 + 2 )

m = ( -3 ) ÷ ( 4 )[tex]m \: = - \frac{3}{4} [/tex]

but equation of a line is given by

m (x - ) = ( y - )

[tex] - \frac{3}{4} (x - ( - 2)) \: = \: (y \: - ( - 2))[/tex][tex] - \frac{3}{4} (x + 2) \: = \: (y \: + \: 2)[/tex]expanding the bracket

[tex] - \frac{3}{4} x \: - \: \frac{3}{2} \: = y \: + \: 2[/tex][tex]y \: = \: - \frac{3}{4} x \: - \: \frac{3}{2} \: - \: 2 \\ \\ y \: = - \frac{3}{4} x \: - \: \frac{7}{2} \\ \\ {y} \: = \frac{ - 3x \: - \: 14}{4} [/tex][tex]multiply \: by \: 4[/tex][tex]4 \: \times \: y \: = 4 \: \times \: \frac{ - 3x \: - 14}{4} [/tex][tex]4y \: = \: - 3x \: - \: 14[/tex]Equation of the line is

4y = -3x - 14

Help plz!!

No links.

Answers

Answer:

10

Step-by-step explanation:

Here is why.

The angle going down is 10 meters long.

Therefore it would be ten.

Any questions?

Answer:

10

Step-by-step explanation: i just did it in school a few days ago gg

An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much water is needed for this tank? Round your answer to the nearest tenth if necessary. .

Answers

Answer:

[tex]V=45396.2\ cm^3[/tex]

Step-by-step explanation:

Given that,

The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.

The tank is filled to 80% capacity with water.

We need to find the water needed for this tank.

The volume of cuboid is given by :

[tex]V=lbh[/tex]

As it is filled to 80% capacity, so,

[tex]V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3[/tex]

So, [tex]45396.2\ cm^3[/tex] of water is needed for this tank.

The area of a rectangular park is 300 sq.M. If the length of the park is 25 m, find the breadth. *

Answers

Answer:

Breadth = 12 m

Step-by-step explanation:

Area of a rectangle is given by the formula,

Area = Length × Width

Value of area and length of the rectangular park has been given in this question.

Therefore, by substituting these values in the formula,

300 = 25 × Width

Width = [tex]\frac{300}{25}[/tex]

          = 12 m

Therefore, width or breadth of the rectangular park will be 12 m.

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