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

Someone help!

If there are 365 days in a year and you buy 365 $15 Starbucks gift cards. How much will that cost?

Answers

Answer:

If you buy a 15 dollar gift card every day for a year, it will cost $5,475.

Just take the price, multiply it by the amount.

Answer:

$5475

Step-by-step explanation:

365 X 15 =

(365 x 10) + (365 x 5) =

3650 + 1825 =

$5475

Janet is comparing prices of bottled drinks. She finds one bottle of water that costs $1.92 and contains 12 ounces. She then finds one bottle of soda that costs $2.40 and contains 16 ounces. Which bottle costs less per ounce?

it a short answer response

Answers

Answer:

1 ounces of water= $0.16

1 ounces of soda= $0.15

Water costs $0.16 per ounces while soda costs $0.15 per ounces which means soda costs less than water per ounces.

Please help me quick please solve in inequality form

Answers

Answer:

Answer OPTION C

AT LEAST... means that she needs 80% and more

Meaning its must be equal to 80% or greater than 80%

Average has to do with Mean.

Her mean would have to be

The sum of the 3 last algebra tests plus the unknown one she's supposed to have to complete 80%

So

Thatll be

80+75+86 + x /(4) ≥ 80

241 + x/(4) ≥80

Option C

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

BC = 1.71

Step-by-step explanation:

SOHCAHTOA

Cosine = Adjacent over Hypotenuse

cos70 = ? / 5

? = 5*cos70

? = 1.7101

easy short math question plz help me

Answers

Answer:

                                                 Class

                                    YES                  NO             TOTAL

                    YES         26                      9                   35

Country

                     NO         37                     26                  63

                TOTAL        63                     35                  98

help me pwease I am stuck

Answers

Answer:

he x-axis, and Number of Potatoes on the y-axis. 5 pounds is 12 potatoes; 10, 24; 15, 36.

Step-by-step explanation:

Find the value of x in the triangle shown below.
ac
5

Answers

the value of x is equal to 3

it takes 5 hours 15 mins to get to Glasgow by train from London. Glasgow is 403miles from London? what is the average speed of the time?
please explain step by step​

Answers

Answer:

London to Glasgow FAQs

How long does it take to travel from London to Glasgow by train? The journey takes 4 hours 29 minutes on average.

The journey takes 4 hours 29 minutes on average.

PLEASE HELP?? thank you!!

find n

answer has to be in simplest radical form!

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

look up a 30 60 90 triangle

The guy above me is right

ASAP Right answer only please??!!!!

Answers

Answer:

The answer is 17 or x is 17

Marking brainliest if you answer all 3 of them n

Answers

1) Equation: y = 5x + 1

Missing Value: 51

2) Equation: y = 4x

Missing Value: 28

3) I have no idea for this one... sorry!

What is the area of the following circle?
Either enter an exact answer in terms of 7 or use 3.14 for TT and enter your answer as a decimal.
d=10
units?

Answers

Answer:

78.5 is the answer

10/2 = 5

5 x 5 = 25

3.14 x 25 = 78.5

Which equation is equal to 4a + 2b = 10?

options:
b = -2a + 10
b = 2a + 10
b = -2a + 5
b = 2a + 5

Answers

b = -2a + 5
good luck :)))

Practice test question, help please

Answers

Answer:

ask ur teacher

Step-by-step explanation:

talk

WILL GIVE BRAINLIEST!
Ify is floating freely in outer space. The gravitational forces pulling on her body are negligible except for the forces from a nearby asteroid (a) the nearest planet (p) and the nearest star (s) The asteroid, planet, star, and Ify all lie in the same plane.
a= (2,4)
p=(-1.-3)
s=(8,2)

Answers

Answer:

The magnitude of the net gravitational force acting on Ify is 9.1 newtons.

Ify is getting pulled in a direction of 6.2 radians.

Step-by-step explanation:

The vector g = (9,-1)   describes the net gravitational force acting on Ify.

We can find the magnitude of  g, using the Pythagorean theorem.

PLEASE HELP!!! Classify each real number. List all the subsets in which the number belongs.

Answers

Answer:

9^3 is Natural, Whole, Integer, and Rational

7/4 is Rational

√3 is Irrational

0 is Whole, Integer, and Rational

Thinking Process:

Alright, to start, with 9^3, it equal 729. This is a natural, whole, integer, and rational number. It is a natural number because it follows the counting (1, 2, 3...etc). Because of this, it is also part of all of the other rational categories as well.

With the next one, 7/4, this equals 1.75. It is not a natural, whole, or integer number because it is a decimal. However, it is rational, because it is still definite.

Next, with √3, this equals 1.73205.... It is irrational because it is not definite as it is a sequence of numbers that go on forever, being unpredictable in nature.

Last is 0, it is not a natural number because it does not follow the counting (1, 3, 3...etc). But it is whole because it follows the counting (0, 1, 2, 3...etc). This is along with it being an integer and rational because of this.

What is the solution of the equation 56 = 2.8y?
A. y = 20
B. y = 156.8
C. y = 2
D. y = 58.8

Answers

the answer would be a:)

What is the value of m in the equation 1/2 m - 3/4 n = 16, when n=8?
20
32
44
48​

Answers

Answer:

48 567i900yhhf free in nkko of h

Answer:

answer is 44

Step-by-step explanation:

3/4ths of 8 is 6, 1/2m + 6 = 16 then becomes 1/2 m = 22 and m = 44

Can someone help pls

Answers

C) how many sweets did they share altogether. We must know how many sweets they had in order to simplify the ratio with this information nothing can be done

Answer:

Age of Sean = 15

Age of Ricki  = 10

[tex]Ratio \ of \ their \ age = 15 : 10 = 3 : 2[/tex]

[tex]Sum \ of \ the \ ratio = 5[/tex]

[tex]Let \ number\ of sweets \ be \ x[/tex]

[tex]Number \ of \ sweets \ Sean \ got = \frac{3}{5} * x\\\\48 = \frac{3}{5} * x\\\\x = \frac{48*5}{3} = 80[/tex]

[tex]Total \ number \ of \ sweets = 80\\Sean \ got \ 48\\Number \ of \ sweets \ Ricki \ got = 80 -48 = 32[/tex]

Ans : a) 3  : 2

       b) 32 sweets

       c) 80 sweets

If a histogram is right skewed, which will be greater the mean or the median? Type a single word answer in the space

provided, for example if the answer is mode, type mode.

Answers

Answer:

Mean is greater

Step-by-step explanation:

For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.

When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.

State six ordered pairs for this function.
f(x)=4^x

Answers

Answer:

Step-by-step explanation:

x     y = 4^x    (x, y)

-2    1/16         (-2, 1/16)

-1    1/4           (-1, 1/4)

0      1              (0, 1)

1      4                1, 4

3      64             3, 64

5    1024           (5, 1024)

Complete the equation to show the relationship between the price and the weight w . P= _ w

Answers

Answer:

[tex]p = 0.3w[/tex]

Step-by-step explanation:

Given

[tex]w \to weight[/tex]

[tex]p \to price[/tex]

[tex](w,p) = (12,3.60)[/tex]

Required

The equation

First, we calculate the unit ratio (k)

This is calculated by dividing price by weight

[tex]k = p/w[/tex]

[tex]k = 3.60/12[/tex]

[tex]k = 0.3[/tex]

Recall that: [tex]k = p/w[/tex]

Make p the subject

[tex]p = kw[/tex]

Substitute [tex]k = 0.3[/tex]

[tex]p = 0.3w[/tex]

Plz answer i'll give brainliest but it has to be right.

Answers

3 -3/4 and 2 pls brainlest

Tan?cos? Sin? What is the m

Answers

Answer:

45º

Step-by-step explanation:

Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.

If two triangles are congruent, then all three___and all three___are congruent.

Answers

Answer:

Angles and Sides (or sides and angles, doesn't matter).

Step-by-step explanation:

Congruent triangles all have the same angle measures and side lengths.

Please mark me as brainliest!!!!!!!

Determine the perimeter of the shape below

Answers

Answer:

43.566 ft

Step-by-step explanation:

Straight sides: 2 long 1 short

2 x 10 + 8 = 28 ft

Curved side: Remember that the circumference of a circle is 2πr or πd.

Since this is a semicircle, divide the circumference you get by 2.

From the diagram: d = 8

total circumference = 8 x π = 8π

semicircle = 8π ÷ 2 = 4π ft

Total perimeter

= (28 + 4π) ft

= (28 + 12.566) ft (5sf)

= 43.566 ft (5sf)

Answer : 40.57 ftStep by step explanation :

The radius of the hemicircle is r = 8/2 cm = 4 cm.

So the perimeter of the hemicircle part is

[tex]\pi \times r \: = (22 \div 7) \times 4 = 12.57 \: cm[/tex]

The perimeter of the rectangular part = 10+10+8 = 28 cm.

So, the final answer is

[tex]28 \: cm + 12.57 \: cm = 40.57 \: cm[/tex]

Is the number √5 rational, irrational, both rational and irrational, or neither rational nor irrational?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The square root of 5 ([tex]\sqrt{5}[/tex]) is irrational.

»»————- ★ ————-««  

Here’s why:  

A rational number is a number that can be rewritten as a fraction of two integers with a nonzero denominator.  Rational numbers include integers, fractions, terminating decimal, or repeating decimals.A square root that is perfect would be rational. A non-perfect square root is irrational.  

⸻⸻⸻⸻

Since the square root of 5 is not a perfect square, it would be irrational.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Which equation is a linear function?

Answers

Either the first or last but I think it is first

Answer:

B. y = x

Step-by-step explanation:

Linear function has the form of:

y = mx + b

Only one of the choices, B is representing the linear function:

y = x

Andrew sold 60 baseball cards to a friend . This was 80% of Andrews total baseball card collection. How many total baseball cards where in Andrews collection ?

Answers

Answer:

75

Step-by-step explanation:

We know that 80% of Andrew's (former) baseball card collection is 60. Thus, We divide 60 by 80% (equal to 0.8) to obtain [tex]\frac{60}{0.8}=75[/tex].

Answer:

In total there were 75 cards in Andrews collection.

Step-by-step explanation:

We know that 60 is 80% of the total amount of cards Andrew has. Therefore, all we have to do to find the total number of baseball cards is to divide 60 by 80 to find 1% and then multiply the result by 100 to get 100% (the total amount of cards). And so we get...

60 / 80 x 100 = 60 / 0.8 = 75

Find the value of x.
с
130°

Answers

Answer:

[tex]x = \frac{130}{2} = 65[/tex]

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