The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle.

Answers

Answer 1

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

[tex]{\boxed{\sf Area=LB}}[/tex]

Substitute the values

[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]

Here a=6, b=-4, c=-20.use quadratic formula

[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]


Related Questions

Riz got $200 for his birthday. He bought several long tennis rackets that cost $45.50 each. After the purchase he has $18 . Write an equation to find out how many rackets he bought and then find the number of rackets.

Answers

Answer:

he has bought 18 rackets.

Step-by-step explanation

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Answer:

4

Step-by-step explanation:

(200-18)/45.50

= 182/45.50

= 4

Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1

Answers

Plug in the numbers
2 = 3(2) - 4, true
-4 = 3(0) - 4, true
8 = 3(4) - 4, true
-1 = 3(-1) - 4, false

Solution: D

Multiply. Write the answer in simplest form.
2 1/6 x 3 1/2

Answers

Answer:

The answer is 91/12 in simplest form.

Estimate the square root of 296 to the nearest tenth.

Answers

Answer:

17.2

Step-by-step explanation:

Answer:

±17.20

Step-by-step explanation:

Follow Me Please

Is this a function?

Answers

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

 

In my opinion I would say No but I could be wrong

solve for the missing value (?) 3:9=? ?:81=

Answers

Answer:

27

Step-by-step explanation:

First you need to figure out what times 9 = 81

9 x 9 =81

since you have to do the same thing on both sides of the equation you do

3 x 9

which gets you 27

HELP ME PLES I NEED IT

Answers

50 is the answer....

Percentage of 70% of what = 35?

70% × ? = 35

? =

35 ÷ 70% =

35 ÷ (70 ÷ 100) =

(100 × 35) ÷ 70 =

3,500 ÷ 70 =

50

Answer:

The trip is 50 miles

Step-by-step explanation:

30 = (60/100)T

T = (10/6)(30) = (5/3)(30) = 50 miles

What is the approximate area of the unshaded region in the figure below

Answers

Answer:

where is the shaded part?

Step-by-step explanation:

Answer: We can't answer the question without a shape or an expatiation.  Please try again with an image or at least tell the answers and image in detail.

Step-by-step explanation:

2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s

Since I’m kinda slow I need help on this please

Answers

Answer:

when x=5, y=20

when x=3, y=12

when x=4, y=16

I hope that helps you!! :)

I don't understand how to do things like 5 divided by 1/3.​

Answers

No worries

First write 5 as 5/1.

Then, our division becomes:

5/1 ÷ 1/3

Then we just need to turn on second number upside down and multiply.

5/1 × 3/1

= 15/1

=> 15

Which is greater 0.25 or 0.025

Answers

Answer:

0.25

Step-by-step explanation:

0.25*100=25

0.05*100=5.25

25 is greater than 5.25 so 0.25 is your answer

Hope this helps :) and pls give brainliest

degree of precision 15.68 x 1.1

Answers

Answer:

15.68×1.1 = 17.248 so if we see then it has 5 sig figs

If you rotate figure GTR 270° clockwise about the origin. What will be the coordinates of G’T’R’ (Please Help I need this done in five minutes.)

Answers

Answer:

C.  G' (4,-7), R' (2,-3), T'(6,-4)

Step-by-step explanation:

Get a piece of paper and draw 2 intersecting lines, like how a graph looks like. Then get another paper that's transparent enough, and place a dot roughly where R would be. Rotate it 270* clockwise (3 times around 90 degrees), and R would be in the bottom right area. That means the figure would be around that area and you can base the coordinates from that.

Brooke measures the height of her bean plant for a science project. The bean plant is 12.5 inches tall.

How many centimeters tall is Brooke’s bean plant?

Answers

Answer:

its 31.75

Step-by-step explanation:

12.5 inch = 31.75 cm

what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4

Answers

Answer:

x= 21/4

Step-by-step explanation:

have a good day

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question: Why do we need to know the mass of a robot? *
why is this in math why does my teacher does this

Answers

Answer:

To know what the answer is

Step-by-step explanation:

clearly I do not know, but I can say that we do need to know the mass bc in the future there will be more and more androids on the rising making human interaction bad.

to find out the equation take the seed and the time. (this to make it look like i answered) Taking the mass you will be able to find out how manyspeed is found by the time and masstime is found out by the mass and speedi dont know if this helped

Answer:

Step-by-step explanation:

pls help me with the math test will give the first person who answers brainliest answers and points
write the expression for 100 less than the sum of 3 and x

Answers

Answer:

3 + x < 100

3 + x - 3 < 100 - 3

x < 97

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer is C. Rate if correct please

Answer:

hiii

your answer is option c

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Solve P-6 = 16. Check your answer.
O p = 22
O p = -22
O p = 10
O p = -10

Answers

The answer is P=22
P-6=16
we can add 6 to both sides to cancel out the -6 and get p by itself.
p=16+6
now we add them
p=22

What is Square root of 296 to the nearest tenth?

Answers

Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k

Answers

Answer: D

Step-by-step explanation:

I just got it wrong and D was the answer

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GIVING BRAINLIEST AND STARS

13)
Using a map scale of 1/2 inch = 10 miles, what would be the distance on the map between two cities that are actually 120 miles
apart?
A)
6 inches
B)
8 inches
C)
10 inches
D)
12 inches

Answers

Answer:

A) 6 Inches

Step-by-step explanation:

1/2=10 to find how many inches we need to get 120 miles, you have to find the conversion rate.

Conversion rate is 120 ÷ 10 which equals 12.

Now we multiply the conversion rate (12) times 1/2 to get an answer of 6 inches.

i'd appreciate a brainliest :)

What is the answer answer and plz give me step by step explaining

Answers

Answer:

x = 5

Step-by-step explanation:

6 + 8(x - 1) = 2(3x + 4)

We evaluate the numbers in the brackets first.

(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)

6 + 8x - 8 = 6x + 8

The left hand side of the equation is not exactly simplified, so we will evaluate it further first.

(6 - 8 = -2)

8x - 2 = 6x + 8

Now we can start shifting the x and the numbers separately.

Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.

8x - 6x = 8 + 2

Further evaluation

2x = 10

Now we can simply find x.

Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.

x = 10 ÷ 2

Evaluate.

x = 5

Morgan's way to solve the equation |2x-7| =5 is first to write |x-3.5|=2.5. explain this approach, and then finish the job.

Answers

Answer:

Morgan divided 2 throughout the original equation, giving her |x-3.5|=2.5.

x = 6 and x = 1

Step-by-step explanation:

|2x-7|=5 -- divide by 2

|x-3.5|=2.5 and |x-3.5|=-2.5 -- since this is an absolute value equation, we have to consider both positive and negative

x-3.5 = 2.5

x = 6

x-3.5 = -2.5

x = 1

Write fifty three hundredths in standard form

Answers

Answer:

53/100 or 0.53 i think thats right

How many solutions does the equation
10x – 9x + 1 = 1 + 5 - 4 have?

Answers

Answer:

One Solution: x = 1

Step-by-step explanation:

Step 1:

10x - 9x + 1 = 1 + 5 - 4       Equation

Step 2:

x + 1 = 2          Combine Like Terms

Step 3:

x = 2 - 1        Subtract 1 on both sides

Answer:

x = 1

Hope This Helps :)

which expression is not equivelent to 2/3 x 4 ​

Answers

Answer:

8/3

Step-by-step explanation:

[tex]\frac{2}{3} \times 4\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\times c=\frac{a\times c}{b}\\\\\frac{2}{3}\times \:4=\frac{2\times \:4}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:\\2\times \:4=8\\\\=\frac{8}{3}[/tex]

-2(x+4)²= -200

can you guys please help

Answers

Answer: x= 6 or - 14

Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?

Answers

Answer:

95%is the answer

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

We can use the balancing method to do this.. first what is the total below 90?

The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?

The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%

Now we use the balancing method to get from 5-10.

Using the balancing method we get 95%

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