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

PLEASE HELP
A faucet dripped 14 cup of water in 112 hours. What is the rate in cups per hour?

Answers

Answer:

8 cups per hour

Step-by-step explanation:

We already have both values, the total sum of hours and the total amount of cups the faucet dripped. We would divide the hours by the cups of water to get an answer of 12. You can also double check this when doing one of these problems on your own, by multiplying your answer by the divisor. (14) 14 times 8 is 112, so we know our answer is correct.

Hope that helps :D

The rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A faucet dripped 14 cup of water in 112 hours.

The total sum of hours and the total amount of cups the faucet dripped.

The rate in cups per hour = 112/14

The rate in cups per hour = 8

Thus, the rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ6

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

B=14 what is 3b-5
Please help me someone

Answers

Answer:

37

Step-by-step explanation:

14×1

24×2

42×3

42-5 = 37

-12 -9 (t-3) = 78

t=?

Answers

Answer:

equals -43

Step-by-step explanation:

-12-9(t-3) = 78
Multiply -9 by t and -3 so:
-9(t-3)
-9t + 27
Now add that back to the equation:
-12 -9t +27 = 78
Now combine -12 and 27:
-12-9t +27 =78
15 -9t = 78
Since 15 is positive ( there is no - sign), we need to subtract 78 by 15:
15 -9t = 78
-15 -15
We subtracted and not added because the opposite of addition is subtraction. Now, we have:
-9t = 63
To find t, we need to divide -9t because we are trying to get t to be alone, so:
-9t = 63
————-
-9t -9t
So now, we have:
t= -7
We have a positive t because a negative divided by a negative is equal to a positive.
So, the answer is :
t = -7
Hope this helps, and would you please rank this brainiest?

Consider the following statements:
I. Multicollinearity is present when there is a high degree of linear correlation between the predictors.
II. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y-hat = 135 + 6x + errors. This implies that if the height is zero, the weight is 135 pounds in this linear model.
a. I is true and II is false.
b. I is false and II is true.
c. Both I and II are true.
d. Both I and II are false.
e. More information is needed for each statement in order to tell which is true or false.

Answers

Answer:

d. Both I and II are false

Step-by-step explanation:

When there is a high degree of linear correlation between the predictors the errors are found.

The basic objective of the regression model is to separate the dependent and independent variables. So if the variables have high degree of linear correlation then the multi collinearity causes problems or has errors. It is not necessary that multi collinearity must be present with high degree of linear correlation.

For example we have 3 variable of heat length and time. And all of them have a high degree of correlation. With increase in heat and time the length increases . But for multi collinearity with the increase of time and decrease of heat length does not increase. So this causes errors.

y-hat = 135 + 6x + errors

The linear relationship between height and weight is inexact. The deterministic relation in such cases is then modified to allow the inexact relationship between variables and a non deterministic or probabilistic model is obtained which has  error which are unknown random errors.

y- hat= a + bXi + ei   (i=1,2,3...)

ei are the unknown random errors.

So both statements are false.

each package of paper contains 100 sheets. At the beginning of the school year, each of Mr.Castillo 's 34 students brought in one package of paper. How many sheets of paper did the students bring in altogether??

Answers

Answer:

3400

Step-by-step explanation:

Just multiply 100 by 34.

Write the linear equation in slope-intercept form 4x + y = 10

Answers

Answer:

y=-4x+10

Step-by-step explanation:

you subtract 4x on both sides

find 24% of 165.........................................

Answers

Answer:

39.6

Step-by-step explanation:

Answer:

39.6

Step-by-step explanation:

If you need an explanation i can edit the answer and give you one.

whats the slope intercept form of 5x-14y=-10

Answers

Answer: y = 5/14x + 5/7

Step-by-step explanation: write in slope intercept form y =mx + b

Each bus Ms. Robinson rents can seat 42 children. How many buses does Ms. Robinson need to take 135 students on a field trip?

Answers

Answer:mrs robinson would need total of four buses

Step-by-step explanation:

this is because if you have 135 and you divide it by 42 it gets you 3.2 and you cant have .2 of a bus so you must round up to the nearest whole number which would be 4

Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs $ 99 buy 2 wreaths and 1 tree . How much does each wreath cost? How much does each tree cost?

Answers

Answer:

[tex]W = 16[/tex]

[tex]T = 67[/tex]

Step-by-step explanation:

Represent trees with T and wreaths with W

Given

[tex]T = 3 + 4 * W[/tex]

[tex]2 * W + T = 99[/tex]

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

[tex]2*W + 3 + 4 * W = 99[/tex]

[tex]2W + 3 + 4 W = 99[/tex]

Collect Like Terms

[tex]2W + 4 W = 99 - 3[/tex]

[tex]6W = 96[/tex]

Divide through by 6

[tex]W =\frac{96}{6}[/tex]

[tex]W = 16[/tex]

Hence, each wreath costs $16

Solving (b): Cost of T

[tex]T = 3 + 4 * W[/tex]

Substitute 16 for W

[tex]T = 3 + 4 * 16[/tex]

[tex]T = 3 + 64[/tex]

[tex]T = 67[/tex]

Hence, each tree costs $67

? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?

Answers

Answer:

13

Step-by-step explanation:

125 - 60= 65

65/5= 13

itll take her 13 weeks

Which angle(s) is/are supplementary?

Answers

Answer:

Two Angles that add up to 180

Step-by-step explanation:

90 degrees+ 90 degrees= 180 degrees

160degrees+ 20 degrees= 180 degrees

Hope this helps!

Please help and explain how you got the answer. Im giving out brainliest. || Q4

Answers

Answer: 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Inside the parentheses, we see 5+3, which equals 8. Now, do 8x4, which equals 32!

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°

Answers

Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

Answer:

135 the person above e is correct

Step-by-step explanation:

Which statement(s) describe the graph of the equation x=-2? Select all that apply

Answers

Answer:

B, D.

Explanation:

When graphed out it is a vertical line. A vertical line has an undefined slope.

The x intercepts the line at (-2,0).

2(2.5x+8)=26
what does x=?
plz help

Answers

Answer:

x=2

Step-by-step explanation:

Hope this helps!

Answer:

simplifying x = 2  

Step-by-step explanation:

reordering the terms then solving + 5x =26

add -16 to each side of the equation

16 = -16 + 5x = 26+ -16

Look at the image below and please tell me where to place the points.

Answers

There is no image posted though?

Answer: there is no image though

Step-by-step explanation:

The perimeter of parallelogram ABCD is 46 inches. What
is DA?

Answers

Answer:

B. 4 inches

Step-by-step explanation:

I got 100% on the quiz on Edg 2020

Answer:

4 inch

Step-by-step explanation:

Which statement about the value of x is true?
O x>38
Ox<39
Ox=77
OX > 103

Answers

Answer:

x = 77 and x > 38

Step-by-step explanation:

Sum of all angles in a triangle is 180.

The angle PNO will hence be:

180 - 38 - 39 = 103 degrees.

The angle PNO + angle x = 180 degrees (straight line)

So 103 + x = 180, therefore x = 180 - 103 = 77.

Which is also greater than 38, so x > 38 is also correct.

The solution is : x = 77 and x > 38

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Sum of all angles in a triangle is 180.

The angle PNO will hence be:

180 - 38 - 39 = 103 degrees.

The angle PNO + angle x = 180 degrees (straight line)

So 103 + x = 180,

therefore x = 180 - 103 = 77.

Which is also greater than 38,

so x > 38 is also correct.

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

PLEASE HELP ILL GIVE YOU BRAINLIEST

Answers

Answer:

78.54

Step-by-step explanation:

So the rounded answer would be 100. I honestly am not 100% sure. I just looked it up. sorry if it is wrong! :c

Can anybody help meeeeeeeeeeee

Answers

Answer:

yeah I Wii help you to your problem

Answer:

ok ques

Step-by-step explanation:

Cate wants to buy calzones and sodas for her friends. She finds that when she buys 2 calzones and 3 sodas, she pays $13. When she buys 3 calzones and 2 sodas, she pays 17. The prices for a calzone, LaTeX: cc, and for a soda, LaTeX: ss, can be found using a system of equations. Enter with NO dollar signs

Answers

Answer:

Step-by-step explanation:

23

HURYY PLEASE LIKE RN

Answers

Answer:

[tex]\huge\boxed{\sf 252\ in.\²}[/tex]

Step-by-step explanation:

TOP and BOTTOM:

Surface Area = 2 ( Length * Breadth)

SA = 2 ( 6 * 12 )

SA = 2 (72)

SA = 144 in. ²

FRONT and BACK:

SA = 2 ( Length * Breadth)

SA = 2 ( 3*12 )

SA = 2 (36)

SA = 72 in.²

SIDES:

SA = 2 ( Length * Breadth )

SA = 2 ( 3 * 6 )

SA = 2 (18)

SA = 36 in.²

Adding all to get the SA of rectangular prism:

= 144 + 72 + 36

= 252 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807


You are w rapping the boxed DVD collection as a present. What is
the least amount of wrapping paper needed to wrap the box?
1.5 in.
8 in.
6 in

Answers

You will need a 8 in

can u pls help me with this question

and the equations to choose from are
y=k+x

y=k

y=kx​

Answers

Answer:

y=kx

Step-by-step explanation:

That's the formula for direct variation relationships!

The other two answers are nonsense and don't mean anything.

Please help me answer this !

Answers

Answer:

[tex] y = -\frac{1}{2}x + 4 [/tex]

Step-by-step explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} [/tex]

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

[tex] y = -\frac{1}{2}x + 4 [/tex]

PLEASE help it’s a multiple choice question i’ll mark u brainliest

Answers

I would choose b. You just have to look at the directions it’s going on both sides of the x-axis and describe what’s happening to the Y values. They seem to be opposite in this case.

A number m is equal to twice the sum of two numbers n and p.

Answers

Answer:

oh

Step-by-step explanation:

3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches. The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.

Answers

Answer:

0.66

Step-by-step explanation:

Given:

Let P(Throwing strike) = 0.35

So,

P(S') = 1 - 0.35 = 0.65

P(A / B) = P(A and B) / P(B)

P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4

P(Throwing fastball  not thrown  strike) = P(F / S') = 80%

P(Throwing fastball  not thrown  strike) =0.8

So,

P(F and S) = 0.8 x 0.65

P(F and S) = 0.52

P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]

= (0.4 x 0.35) + (0.8  x 0.65)

= 0.14 + 0.52

= 0.66

Other Questions
If you wanted to change one thing about the place you live, what would you change? What solution do you have for the change?Please help 15 points Who wants to be my freind? Marla sold 12 baseball caps for a total of $39, including tax. The equation. 12c=39 can be used to find c, the cost of one cap. What is the value of c 8. Which is in the correct chronological order?O A. The battle of Saratoga, Washington crosses the Delaware, The Declaration of IndependenceO B. The Declaration of Independence, Washington crosses the Delaware, the Treaty of ParisO C. The Treaty of Paris, The Battles of Saratoga, The Declaration of IndependenceOD. The Declaration of Independence, Washington crosses the Delaware, The battle of Lexington & Concord Who founded a settlement house where immigrants could learn English and job skills?A)Frances KellorB)Jane AddamsC)Eugene DebsD)Samuel Gompers How will Artificial Intelligence change the way we do things? .......C-Claim: 2 pointsWrite a statement that responds to the question.*Your answer please help me with this question exhibits the highest intermolecularforces of the states of matter. How did Indus River Valley civilizations respond to flooding in their area?A) Flooding provided enough water supply to help cities grow.B) Farmers developed irrigation techniques in response to flooding.C) Traders could travel easily due to the flooding from the monsoons.D) Cities were easy targets for invasion due to flooding in river systems. I have been sitting on a chair for the last 3 years, now the chair is growing into me. i feel refreshed The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age. If you are a student at a school, search and seizure rules are same as if you were anadult.Is it true or false Need help asap Write a program that prints the numbers 1 - 50. If the number is even print the word 'EVEN!' next to it. If the number is odd print the word 'ODD!' next to it. What is the slope of the line that passes through the following points:(4,-3), (-5,10) What are the meanings of these connective words: Et, Mais, Aussi? What is the answer for this? it's funni to be rog 11(n-3)=-44for my friend again lolol help please The Kellogg-Briand Pact would have helped, rather than hurt, the League of Nations if it hadincluded an agreement to strengthen the military.promised to bring greater peace to Europe.aligned content closely with the league's goals. negotiated within the league's authority. 8. You would like your friend to join you on a trip to a historical monument in your locality. Write out a dialogue ( in around 200 words) between your friend and you try to convince him / her to join you.