Find the dimension of a rectangle whose with is 6 miles less than its length and whose area is 72 square tiles

Answers

Answer 1

Answer:

Length = 12

Width = 6

Step-by-step explanation:

Width = 6 miles less than length;

L = L

W = L - 6

Area = 72 ft²

Area = Length * width

Area = (L * L-6)

Area = L² - 6L

-

L² - 6L = 72

L² - 6L - 72 = 0

L² - 12L + 6L - 72 = 0

L(L - 12) +6(L - 12) = 0

L = 12 or L = - 6

L cannot be negative

Width = L - 6

Width = 12 - 6 = 6

Hence,

Dimension of rectangle :

Length = 12

Width = 6


Related Questions

What is the mean of the data set?
47, 25, 43, 33

Answers

Answer:

The mean is 47

Step-by-step explanation:

First, you want to add up all of the numbers.

47 + 25 + 43 + 33 = 148

Now, you want to divide what you got by how many numbers there are.

148/4 = 37

The mean is 47

   Mean of the terms given in the data set as {47, 25, 43, 33} (four terms) will be 37.

Calculations for the mean of a data set:  Mean of the terms given in a data set is represented by the avarage of the terms.

          Mean = [tex]\frac{\text{Total of the terms in a data set}}{\text{Numbers of the terms}}[/tex]

Total of the terms given in the the data set = 47 + 25 + 43 + 33

                                                                        = 148

Number of terms in the data set = 4

Substitute these values in the expression of the mean,

Mean = [tex]\frac{148}{4}[/tex]

          = 37

      Therefore, mean of the data set given in the question is 37.

Learn more about the mean of a data set here,

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Need Help With This -Award 10 Points

Answers

2 tenths and 2 hundredths = the box above 0.2

0.39 = the box above 0.4

1/10 = the box above 0.1

90% = the box above 0.9


:) have a great day!!

Cody earned $8 for each dog he walks. He also earns $10 for doing chores at home. What will Cody earn if he walks 1, 2, or 3.

Answers

Answer:

If he walks 1 dog he will make 8$ if he walks two dogs he will earn 16$ if he walks 3 dogs he will make 24$

PLz, help I really don't understand these problems at all.
Click here to see the screenshot

Answers

Answer:

1. $65,000

2. A 4 and 2 mile hike

3. B 4.00

4. C multiplication

Step-by-step explanation:

PLS HELP WITH MY TESTTTT.... ITS INEQUALITIESSSSSSSSSSS

Answers

Answer:

J

Step-by-step explanation:

34.7+6.3 would =41

40.9 cannot be more than 41, so it is not a possible solution

The six sides of a number cube are labled 1,2,3,4,5,6, . You flip a coin and roll the number cube what is the probability that you land on tails and get a number less than 3.

Answers

Answer:

1/6 or 16.67%

Step-by-step explanation:

The probablility for the coin is 50% and the probablility for the cube is 2/6 or 1/3 aka 33.3%. You need to multiply these together to figure out the percentage so 1/2 time 1/3 is 1/6.

Mike has a 32 ounce drink. He drinks 8 ounces. Select the percent of ounces Mike has left from his drink

Answers

Mike had 32 and now he has 24

Answer:

75%

Step-by-step explanation:

the percentage amount of the drink that mike drank is calculated by dividing the total drink by the amount drank. In this case that is 8/32 which gives us 0.25 or 25%.

In order to find the amount Mike has left you simply subtract the amount drank from the 1 as 1 is equal to 100% or the amount mike had at the begining.   In this case 1-0.15= 0.75 or 75%.

OR

you can also solve this by subtracting tha amount drank by the total then dividing the remaining drink by the total amount of the drink. In this case that would look like:

32-8= 24

24/32= 0.75

pls help me it is important

Answers

Answer:

pls help me too

Step-by-step explanation:

Which is the solution to the system below x=-4y+10 x=2y-14

Answers

Answer:

too many equal signs

Step-by-step explanation:

It would have to be x-2 -10

1. Fatima draws a
Quadrilateral in the
coordinate plane with
the conditions shown.

Answers

Just plot it and solve by counting

Given ---AB || ---RS Prove: QA/QR = QB/QS

Answers

2. Reflective property
3. Corresponding angles are congruent
4. Angle side angle ?
5. ?

The prove for QA/QR = QB/QS is shown below.

What is Similarity of Triangles?

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

1) Given

2) <Q is congruent to <Q

by reflexive property of congruence

3) <QBA is congruent to <QSR

by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR

by AA theorem

5) QA/QR=QB/QS

by CPSP (corresponding parts of similar polygons are proportional)

Learn more about Similarity here:

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what would the answer be?

Answers

Answer:

(180-50) ÷ 2=x

130 ÷ 2 =65

x = 65

65

Step-by-step explanation:

THe angle of a triangle is always 180

take the 50 do

180-50= 130

130/2=65

x=65

1. Factorise
[tex] {x}^{2} - 2x - 24[/tex]
2. Factorise
[tex] {x}^{2} + 5x + 6[/tex]

Answers

Answer:

1.x}^{2} - 2x - 24

x²- 2x+1²-1²-24

(x-1)²-25

(x-1)²-5²

(x-1+5)(x-1-5)

(x+4)(x-6)

Step-by-step explanation:

2.

{x}^{2} + 5x + 6

x²+3x+2x+6

x(x+3)+2(x+3)

(x+3)(x+2)

Convert the following equation into slope intercept form. 3x + 21y = 21 Stars

Answers

Answer:

y = -(1/7)x + 1

Step-by-step explanation:

[tex]3x + 21y = 21 \\ 21y = 21 - 3x \\ y = \frac{21 - 3x}{21} \\ y = 1 - \frac{1}{7} x \\ y = - \frac{1}{7} x + 1[/tex]

find the missing length indicated ​

Answers

the missing length is 14

find the mean of the numbers
1, -3, -10
-15, 4, -22
-7.5, 3, -6.5

Answers

Answer:

13. -4 14. -11 15. [tex]-\frac{11}{3}[/tex]

Step-by-step explanation:

13. (1-3-10)/3

14. (-15+4-22)/3

15. (-7.5+3-6.5)/3

Answer:

13. -4 14. -11 15. -3.6 continued

Step-by-step explanation:

13. 1+-3= -2+-10 -12/3= -4

14. -15+4= -11+-22= -33/3 -11

15. -7.5+3= -4.5+ -6.5= 11/3= -3.6 continued

Cody increased the amount of money he saves each week from $40 to $75. By
what percentage did Cody increase the amount of money he saves?

Answers

Answer:

So Cody increase his savings by 87.5%

Step-by-step explanation:

We are given Cody's original savings = $40

We are given his new savings total = $75

Now, in order to find out the percentage we have to first find out by how much did he increase his savings:

Increase in savings = $75 - $40 = $35

So now we have the increase in savings we can find out the percentage:

[tex]increase(\%) \: = \frac{increase \: in \: savings}{original \: savings} \times 100[/tex]

Now we plug in our values that we found:

[tex]increase(\%) = \frac{35}{40} \times 100\\ increase(\%) = 87.5\%[/tex]

So Cody increase his savings by 87.5%

THIS IS RELIGION PLS HELP
why is it important for jews to understand the characteristics of God

Answers

Answer:

To conclude, the characteristics of God provide a foundation by which Jews can look up to and mimic behaviour and develop good morals. They can come to understand and appreciate God, particularly as he is unseen, and this allows for them to be able to believe without question e.g. God is all knowing. G-d is all knowing and has a purpose for the world. This gives people faith to believe in God and wait for the Messianic Age to come, and have patience in God’s plan. However, it can be argued that there is no real point in having being taught characteristics of a being which can not be seen. With characteristics, some may argue that the concept of God can still not be understood, and the idea is unclear, particularly as the descriptions are supposedly by God himself, in which many Jews do not believe, as they are culturally and ethnically Jewish, rather than religiously Jewish.

6. What is the greatest common factor of the following expression? *
15y3 – 40y

Answers

Answer:

I'm not sure what 15y3 is, but I'll take a guess.

If the only numbers are 15, 3, and -40, then the greatest common factor is 1.

If the only numbers are 15 and 3, then it's three.

If the only numbers are 15 and -40, it would be 5.

PLEASE HELP ME!!! WILL GIVE BRAINLIEST!! TELL ME IF IM CORRECT!!

Answers

Answer

x=0,5

Step-by-step explanation:

According to the rule of 72, in about how many years will $80 be worth $40 if the rate of inflation is 3%? A. 6 years B. 12 years C. 48 years D. 24 years​

Answers

Answer:

24 years  answer is D

Step-by-step explanation:

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

Answers

Solution B is the one she should use

Which is the correct equation for a line that has a slope of 2 and passes through the point (-1, -5). Use the graph below or graph paper if needed.
PLEASE HELP ASAP
A.y = 2x - 5

B.y = 2x + 5

C.y = 2x - 3

D.y = 2x + 3

Answers

9514 1404 393

Answer:

  C.  y = 2x - 3

Step-by-step explanation:

The y-intercept (b) can be found from ...

  y = mx + b

  y - mx = b . . . . . subtract mx

Here, you are given (x, y) = (-1, -5) and slope m = 2.

  b = -5 -2(-1) = -5+2 = -3

The correct equation is ...

  y = 2x -3 . . . . . matches choice C

_____

On the graph, you can plot point (-1, -5) left of the y-axis 1 unit and down from the x-axis 5 units. The slope of 2 tells you the line will rise 2 units from there to a y-value of -3 when it runs 1 unit to the right to an x-value of 0. That point (0, -3) is the y-intercept, showing you that choice C is correct.

one year the population of a city was 292000 now its 289080 find the percent decrease

Answers

Answer:

1%

Step-by-step explanation:

[tex] \frac{292000 - 289080}{292000} = 0.01 = 1\%[/tex]

Answer:

1%

Step-by-step explanation:

ok

Victim but jeans on sale for $60 the silver 20% off what was the original price of the

Answers

Answer: i beleive $72

Step-by-step explanation:

Someone pls help me with this

Answers

Answer:

147

Step-by-step explanation:

In triangle ABC, the measure of angle A is 80°. Angle B is congruent to angle C. What is the measure of angle B in degrees? A. ∠ = 100 C. ∠ = 50 B. ∠ = 60 D. ∠ = 80

Answers

Answer:

<B = 50

Step-by-step explanation:

<B = <C = 50

i forgot how to do this. please give me a example on how i do this thank u

Answers

Answer:

[tex]t \in \mathrm {R}[/tex]

Step-by-step explanation:

[tex]2t + 6 = 2(t + 3)[/tex]

[tex]2t + 6 = 2t + 6[/tex]

[tex]2t + 6 - 2t = 2t - 6 - 2t[/tex]

[tex]6 = 6[/tex]

[tex]t \in \mathrm {R}[/tex]

Picture attached on the file

Answers

Answer:

89/3

Stp/lanation:

Six friends had lunch together and decided to spilt the bill evenly, If the bill was 48.60 what was everyone’s share?

Answers

Answer:

8.1

Step-by-step explanation:

48.6 /  6 is 8.1 .

The amount of money each friend is required to contribute is $8.1.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Six friends had lunch together and decided to spilt the bill evenly.

As they have split the bill evenly,

The amount of money each friend needs to contribute can be obtained by dividing the total amount by the total number of friends which is,

= $(48.6/6).

= $8.1

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