Suppose that the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle is 85 square centimeters, find its length and width

Answers

Answer 1

Answer:

width = 5 in

length = 17 in

Step-by-step explanation:

Area of a rectangle = length x width

width = w

length = 2 + 3w

85 = (w) x (2 + 3w)

85 = 2w + 3w³

this can be solved using quadratic equation

3w³ + 2w - 85 = 0

factors of 3w³ x -85 that add up to 2w are : +17 w and -15w

(3w³ - 15w) (17w - 85) = 0

3w(w - 5) 17(w - 5) 0

w = 5

or w = - 17/3

the width cannot be a negative number. the correct width is 5 in

Length = 2 x 3(5) = 17 inches


Related Questions

hey what's the answer ?

[tex] \sqrt[4]{256} [/tex]
(~‾▿‾)~​

Answers

Answer:

4

Step-by-step explanation:

4^4 or 4 * 4 * 4 * 4 is 256.

Answer:

[tex] \sqrt[4]{256} [/tex]

[tex] \sqrt[4]{ {4}^{4} } [/tex]

=±4 is a required answer

Find the diameter and circumference

6.2 mi

PLS HELP I NEED AN ANSWER PLS

Answers

Answer:

diameter: 2.4 mi

circumference = 38.96 mi

Step-by-step explanation:

d=2r=2·6.2=12.4

C=2πr=2·π·6.2≈38.95575

In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.

Answers

Answer:

19.7°

Step-by-step explanation:

In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.

We make use of sine rule

TU/sin V = UV/sin U

9.8/sin 90 = 3.3/sin U

Cross Multiply

sin 90 × 3.3 = 9.8 × sin U

sin U = sin 90 × 3.3 /9.8

U = arc sin ( sin 90 × 3.3/9.8)

U = 19.7°

Classify this triangle by its sides.

Answers

Answer:

Equilateral

Step-by-step explanation:

All angles are the same, so the sides are the same as well

Classifications:

Scalene = no sides and angles are the same to others

Equilateral = All sides and angles are congruent

Isosceles = 2 sides and 2 angles are congruent.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: equilateral

Step-by-step explanation:

An equilateral triangle is a triangle where all the sides are the same length.

“Which one doesn’t belong” Explain.

Answers

Answer:

Step-by-step explanation:

im not sure but i think its 5

23.
20m + on ?
Which expression is equivalent to 54n

Answers

Answer:

Choice A, 20(3n-m)

Step-by-step explanation:

First, lets combine like terms for the question 54n - 20m + 6n,

60n - 20m.

Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.

Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.

Choice A:

20(3n-m)

60n-20m

Choice D:

20(m-3n)

20m-60m

With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.

Answer:

Which inequality has the solution set shown on the graph?

-54n < 1080

-54n > 1080

594 > -11n <<<<<This one

594 < -11n

Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))

help me with this question

Answers

Answer:

960 cm³ I think it may be correct

Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

Step-by-step explanation:

P = £1100

r = 5%

t = 6 years

I =P*r*t

[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]

Amount = P + I = 1100 + 330 = £1430

2. In 1990, there were 1,200 cell phone subscribers in a small-town of Stephenville. The number of subscribers increased by 75% per year after 1990. How many cell phone subscribers were in Stephenville in 1999?

Answers

Answer: [tex]184,724.153[/tex]

Step-by-step explanation:

Given

In 1990, there were 1200 cell phone subscriber in small town of stephenville

It is increasing by 75% per year after 1990

In year 1991 it is

[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]

In year 1992 it is

[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]

So, it is increasing as [tex]1200(1.75)^x[/tex]

where [tex]x=[/tex]no of years spent

After 9 years, it is

[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]

please, help me with this fast!! I'm giving points!!!!

Answers

Answer:

Step-by-step explanation:

c circle

The answer is c :)))))))

Please help ASAP!! It’s due tomorrow please!!

Answers

Answer:

250 lifeguards

(P.S, i dunno if i got it right or not should be correct tho)

Step-by-step explanation:

15 km divide 0.06 for every life guard. therefore, there are 250 lifeguards

There will be 9 lifeguards

.6 x 15 = 9

0.06 x 15 = 0.9

0.9 as a whole number = 9

Therefore There will be 9 lifeguards

Is x=2 a solution to the equation below?
4(x-1)-3(x-2)=-8

Answers

Answer:

No

Step-by-step explanation:

To find out if 2 is a solution, replace all the x's with 2.

4(2 - 1) - 3(2 - 2) =8

4(1) - 3(0) = 8

4 - 0 = 8

4 = 8

Nope!  False!  2 is not a solution.

At the amusement park, Janine bought a bottle of water for $2. She also bought game tickets for $0.50 each. Janine spent a total of $15.
Which of the following equations can be used to find the number of game tickets, g. Janine bought?
O 0.509 + 2 = 15
O2g +0.50 = 15
O 0.50g - 2 = 15
O 2g -0.50 = 15

Answers

Answer:

15 = 2 + 0.5g

Total number of ticket purchase by Janine = 26

Step-by-step explanation:

Given:

Cost of water bottle = $2

Cost of each ticket = $0.50

Total amount spend by Janine = $15

Find:

Equation

Computation:

Assume;

Total number of ticket purchase by Janine = g

Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)

15 = 2 + (0.5)(g)

15 = 2 + 0.5g

0.5g = 13

g = 13 / 0.5

Total number of ticket purchase by Janine = 26

solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5

Answers

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = 2x + 3 ( subtract 2x from both sides )

x + 5 = 3 ( subtract 5 from both sides )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(- 2) + 3 = - 4 + 3 = - 1

solution is (- 2, - 1 )

If someone helps me ill give them brainlest

Answers

Answer:

x+51+80+60=180

x+191. =180

x=180-191

x=-11

GIVING BRAINLIST! $ CHOSE ANY!

Answers

Answer:

36in for the 1st one

Step-by-step explanation:

Answer:

36 in- mild

Hope this helps!!

pls answer i need the answer

1 ticket
2 tickets
3 tickets
4 tickets

Answers

Answer:

3

Step-by-step explanation:

Answer:

2 tickets

Step-by-step explanation:

a + c = 5

9a + 4c = 30

let a = 5-c

substitute:

9(5-c) + 4c = 30

45 - 9c + 4c = 30

45 - 5c = 30

-5c = -15

c = 3

a = 2

Tell whether the angles
are
complementary or supplementary. Then find the value of c.
(6x + 1)
290

Answers

Answer:

Complementary, x=10

Step-by-step explanation:

Complementary angles mean they add up to 90 degrees.

So 29+(6x+1)=90.

30+6x=90

6x=60

x=10

Answer:

Complementary-------- x= 10

Step-by-step explanation:

only 90 degrees

(6x-1)/2930+6x = 90

-----------------------------

3. 6x = 60

=======================

x= 10

classify the pair of angles shown.​

Answers

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Question 3 (1 point)
Mrs. Randolph has 39 math books and 57 science books that she needs to put in boxes. Each box can hold 8 books. How many
boxes does Mrs. Randolph need? Explain.

Answers

The answer is 12.
57 + 39 = 98
98 divided by two is equal to 12.

This can also be shown by multiplication. 12x8=96
I hope this helped you! :)

It’s a multiple choice so it’s like 3 answers but help please

Answers

Answer:

b g and e

Step-by-step explanation:

SOMEONE PLEASE HELP ME

Answers

Answer:

27

Step-by-step explanation:

math

Solve the following expression if x = 5 and z = 8. x + (-z)

Answers

Answer:

z = 20 , x = 5

Step-by-step explanation:

The answer is -3 because the equation would look like this 5+(-8) which would then equal 5-8 which equals -3

❗️❗️HELP ❗️❗️Triangle ABC is shown below.
98
46
B
Use the drop-down menus to explain how to determine the measure of angle A. Click the arrows to
choose an answer from each menu.
degrees, so the measure of
The measure of angle A is
The sum of the interior angles of a triangle equals Choose...
angle A can be found by calculating Choose...
Choose... degrees

Answers

Answer: I need this one too

Step-by-step explanation:

Answer:

180

180 - (98 + 46)

36

Step-by-step explanation:

When you spin a rectangle, what 3D figure do you get? cylinder prism cone sphere

Answers

Answer:

A cylinder

Step-by-step explanation:

When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.

Answer:

CYLINDER

Step-by-step explanation:

Find x

Secant tangent angles

ILL MARK BRAINLIEST!!!

Answers

Answer:

[tex]x = \frac{50 + 92}{2} = 71[/tex]

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 5, -25, 125,

Answers

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

To learn more about the geometric sequence visit:

https://brainly.com/question/11266123.

#SPJ4

Predict how many times you will roll a number less than 4 if you roll a standard number cube 200 times.
Round to the nearest integer, if necessary.
times.
You will roll a number less than 4 about

Answers

Answer:

100 times

Step-by-step explanation:

you have a 3/6 chance of rolling less than 4 once

so you multiply 3/6 times 200- you get 600/6

you simplify 600/6 to 100

100 times is the answer.

Have a fantasical day.

What is the midpoint of AB when A (-2, 5) and B (4, -5)?

Answers

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

(-2+4/2,5-5/2)(2/2,0/2)(1,0)

1. 20% of 150 is what number?

Answers

Answer:

30

Step-by-step explanation:

First, you have to convert 20% into a decimal.

Explanation:

20 ÷ 100 = 0.2

Now multiply 0.2 by 150

Explanation:

0.2 × 150 = 30.

Therefore, 20% of 150 is 30.

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