The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.


Related Questions

I need to know the answer

Answers

Answer:

y=3.65

X=11.85

Step-by-step explanation:

sin(60)=y/12

sin(60)×12=y

y=3.65

sin(30)=X/12

sin(30)×12=X

X=11.85

Can someone help me with this question?
It's geometry.
Will mark you as brainliest if answer is correct.

Answers

Answer:

angle ABE and DBC

Step-by-step explanation:

They are both greater than 90 degrees

<ABE & <DBC

obtuse angle: more than 90 degrees and less than 180 degrees

The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.

Answers

You will need to know that the sum of "two complementary angles" is 90
therefore
Let x = one angle
then
90-x = second angle
.
Now, we construct our equation based on the sentence:
"The sum of the measures of two complementary angles exceeds the difference of their measures by 86°."
x + 90-x = x-(90-x)+86
90 = x-90+x+86
90 = 2x-90+86
90 = 2x-4
94 = 2x
47 degrees = x (first angle)
.
Second angle:
90-x = 90-47 = 43 degrees (second angle) hope it helps

Can someone help? Thanks :D

Answers

Answer:

[tex]y\leq -x+4[/tex]

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be [tex]y=-x+4[/tex]

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that [tex]y\leq -x+4[/tex] would be the equation for this inequality.

There are 50 sheets of drawing paper.
Larry divides the drawing paper between himself
and his younger brother John.
And Larry has 14 more sheets.
How many
sheets of drawing paper do Larry and his
brother have, respectively?​

Answers

Answer:

John has 18 pieces of paper.

Larry has 32 pieces of paper.

Step-by-step explanation:

Let [tex]l[/tex] be how many pieces of paper Larry has and [tex]j[/tex] be how many pieces of paper John has.

We get:

[tex]j+14=l[/tex]

[tex]j+l=50[/tex]

[tex]j+j+14=50\\\\2j+14=50[/tex]

Subtract 14 from both sides

[tex]2j=36[/tex]

Divide both sides by 2

[tex]j=18[/tex]

John has 18 pieces of paper.

[tex]j+14=l\\\\18+14=l\\\\l=32[/tex]

Larry has 32 pieces of paper.

Describe fully the single transformation that maps triangle a onto triangle b

Answers

Answer:

reflection y=x

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

What is single transformation?

This is known to be the mix up or the combination of transformations that is said to be seen as one transformation.

Note that in the image attached, when reflection of y axis is said to be cast on the x - axis, one can see that triangle a can be maps onto triangle b and thus:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

Learn more about reflection from

https://brainly.com/question/1908648

#SPJ9

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

0, 1

Step-by-step explanation:

The discriminant is b² - 4ac where we have ax² + bx + c, in this case a = -4, b = 12, c = -9 so D = 12² - 4(-4)(-9) = 0.

Because the discriminant is 0 that means that f(x) only has one solution for x meaning that it has only 1 x-intercept.

Mrs. Jackson made a line plot of the times it took students to complete a project.
She made a line plot to display the data.

Line plot named as ALTDCTime Spent Completing ProjectALTDC shows a number line from 0 to 5. The number line is divided into 10 equal parts. 1 dot on 1, 2 dots on one and half, 4 dots on 2, 3 dots on two and half, 2 dots on three and half, 1 dot on 4 and 1 dot on four and half is given.

Part A
What is the outlier in the data set?
A. 1
B. 2
C. 3
D. There is no outlier.
Part B
Which explains your reasoning in Part A?
A.


There is no value that is very different from the other values.
B.


This is the most common value in the data set.
C.


This value is very different from the other values.
D.


There are no data values above this number.

Answers

This value is very different from the other values

Answer: D

Step-by-step explanation: D

The equation of the line which passes
through the point(0,2) and has a gradient
of 1/3 is?

Answers

Answer:

Using point (0,2) and gradient 1/3

Equation of the line is

y - 2 = 1/3(x -0)

Multiply through by 3

You'll get

3y - 6 = x

3y = x - 6 or y = 1/3x - 2

Hope this helps.

At the gym, Polina put 4 five-pound weights onto a barbell that weighed 22 pounds without any weights on it. If Polina lifted the barbell with both arms, which expression can be used to determine the weight that each arm was lifting?

[(4 × 5) ÷ 2] + 22
(4 × 5) ÷ 2 + 22
[22 + 4 × 5] ÷ 2
22 + (4 × 5) ÷ 2

Answers

Answer:

D. 22+(4×5)÷2

Step-by-step explanation:

Four 5 pound weight=(4×5)

Barbell weighed 22 pounds

={(4×5)+22}

Paulina lifted it with both arms

Both arms=2

{(4*5)+22}/2

It can be rewritten as

22+(4*5)÷2

8) y is inversely proportional to x?.
When x = 4, y = 3.
Find y when x = 5.

Answers

Answer:

[tex]\displaystyle y=2.4[/tex]

Step-by-step explanation:

[tex]{\displaystyle y\propto \frac{1}{x} }[/tex]

[tex]\displaystyle y=\frac{k}{x}[/tex]

[tex]\displaystyle 3=\frac{k}{4}[/tex]

[tex]\displaystyle 3 \times 4=k[/tex]

[tex]\displaystyle k=12[/tex]

[tex]\displaystyle y=\frac{12}{5}[/tex]

[tex]\displaystyle y=2.4[/tex]

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the verbal descriptions with the correct equations.

Answers

Answer:

Step-by-step explanation:

6 more than a number is 36: x+6=36

36 more than a number is 6: x+36=6

6 times a number is 36: 6x=36

An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *

A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one

Answers

Answer:

I assume that songs are $0.99 each.  Let x represent the number of songs you download.  Then the total cost of downloading x songs would be

C(x) = $5.00 + ($0.99/song)x

and ONLY integers = to or greater than 0 make sense here.  The domain is [0,  100) assuming you cannot buy more than 100 songs.

Personally I'd give the answer as "2, whole numbers more than or equal to zero."  However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense.  You'd pay $5 plus $0.99 for one song, in that case.

Step-by-step explanation:

What does y=? Also if you cant read that bright red number its 60

Answers

Answer:

y = 13.9

Step-by-step explanation:

The triangle is a 30-60-90 triangle, so x is 16 (double 8). Use the pythagorean theorum to find y. 256 - 64 =192. [tex]\sqrt{192}[/tex] is about 13.9


A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please ​

Answers

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height  

If we rewrite the given expression :

[tex]\mathbf{7x^3+3.5x^2}[/tex];

Then we factor we make a similar coefficient  of  the above equation, the  remaining entities left in the parenthesis should be a linear term  with a leading coefficient of 1 to match the expression for the length of the container.

i.e

[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

Angel wants to distribute a certain amount of money among his children. IF you split $10 each, you have $35 left, and if you split $15 each, you still have $5 left. Indicates the amount of money distributed.

Answers

Answer:

95

Step-by-step explanation:

Let x be the number of children

10x+35 = money

15x+5 = money

Set  the equations equal

10x+35 = 15x+5

Subtract 10x from each side

35 = 5x+5

Subtract 5 from each side

30 =5x

Divide by 5

30/5 =5x/5

6 =x

There are 6 children

10x+35 = money

10(6) +35

60+35

95

The amount of money is 95

8. Let ABCD be a parallelogram with A on top left, B on top right, D on bottom left and C on the bottom right. Prove that opposite sides of a parallelogram are congruent.

Answers

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

Please Answer ASAP! will give 5 star and brainliest

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6

Answers

Answer:

Step-by-step explanation:

Use the possibility diagram to calculate the probability that the product of the two numbers is

A prime number

Sample Space: 64

Prime Number:8

Probability: 8/64 = 1/8

Not a perfect square

Sample Space:64

Not a perfect square:56

Probability: 56/64 = 7/8

A multiple of 5  

Sample Space:64

A multiple of 5: 16

Probability: 16/64 = 1/4

Less than or equal to 21  

Sample Space:64

Less than or equal to 21:24

Probability: 24/64 = 6/16 = 3/8

Divisible by 4 or 6

Sample Space:64

Divisible by 4 or 6:32

Probability: 32/64 = 1/2

What is the value of x in the equation 3 minus 2 x = negative 1.5 x? People say the Answer is 6. What's the work to get the answer?

Answers

Answer:

6

Step-by-step explanation:

3-2x=-1.5x

3=2-1.5x

3=0.5x

X=(3÷0.5)=6

Use the vectors v = 7i + 2j and w = –4i + j to find 10v + 3w

Answers

Answer:

v = 7i + 2j

w= - 4i + j

10v = 10(7i + 2j) = 70i + 20j

3w= 3(- 4i + j) = -12i + 3j

10v + 3w

= 70i -12i + 20j +3j

= 58i + 23j

Hope this helps.

a rectangular sheet of paper dimentions 44 cm x 18 cm is rolled along its length and cylinder is formed . find voloume of cylinder so formed

Answers

Answer:

1134cm³

Step-by-step explanation:

rolled along the length means the length becomes the height of the cylinder.

length of rectangle = height of cylinder= 44 cm

breadth of rectangle = circumference of top and bottom circles = 18 cm

to find radius = 2πr = 18

2 * 22/7 *r = 18

22/7r = 18/2

22/7r = 9

r = 9*7/22

r= 63/22

Volume of cylinder formula = πr²h

= 22/7 * 63/22 * 63/22 *44

= 63 * 18

= 1134 cm³

(We cannot take it as a hollow cylinder because a rectangular sheet can only have one radius)

Hope this helps you!

1. If the original price is $75 and you get a 30% discount. What is the sale
price?

Answers

Answer:

the sale price is 52.50

Step-by-step explanation:

30% discount means that the person pays 70% of the original price

multiply 75 by 70% written as a decimal 0.70

75*0.70 = 52.50

Answer:
The 30% discount is $22.50 off the original price. Thus, a 30% discount on $75 brings the total to $52.50.

Explanation:
First, calculate the 30% discount.

75 • .30 = 22.5

So, this means the 30% discount gives us $22.50 off the original price.

Next, subtract the discount from the original price to find the final total.

75 - 22.5 = 52.5

So, the final total is $52.50.

determine weather it is no solution many solutions or one solutions
3(6-4m)=2(9-6m)

Answers

Answer:

Many solutions

Step-by-step explanation:

What is the correct formula for calculating a 3 x 3 determinant?

Answers

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment

John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general admission tickets are $55 in the VIP tickets are $70. If he knows he sold a total of 25 tickets and made $1480 how many of each type did he sell?

Answers

Answer:

Step-by-step explanation:

55x + 70y = 1480

x + y = 25

55x + 70y = 1480

-55x -55y = -1375

15y = 105

y = 7 VIP tickets sold

x + 7 = 25

x = 18 general admission tickets

(18,7)

EASY question for y’all mathy people, easy points! Question in photo.

Answers

I think the answer is D

Answer:

Step-by-step explanation:

A linear function is a line which, in slope-intercept form, follows

y = mx + b,

where m is the slope and b is the y-intercept.

The only one that follows that form is B. B can be rewritten as

[tex]y=\frac{1}{3}x+2[/tex]

and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.

A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.

B is the one you want.

4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR

Answers

Answer:

[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]

A(n) _____ generally has a highly elliptical orbit. A. moon B. comet C. planet D. asteroid

Answers

Answer:

b

Step-by-step explanation:

Answer:

B comet

Step-by-step explanation:

Orbit of a Comet. Comets go around the Sun in a highly elliptical orbit. They can spend hundreds and thousands of years out in the depths of the solar system before they return to Sun at their perihelion. Like all orbiting bodies, comets follow Kepler's Laws - the closer they are to the Sun, the faster they move.

Please BRAINLIEST!

A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.

Answers

Answer:

So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.

The answer is 12 guests

Click on the bubble of the correct
answer.
Chris earned $855 for a temporary
job. She worked 36 hours the first
week and 40 hours the second
week. How much did Chris earn per
hour?
Select one:

Answers

Answer:

$11.25 / hr

Step-by-step explanation:

36x+40x=855

76x=855

x=11.25

Other Questions
Jess wants to make her house more energy efficient. She has two options, A or B. Option A is double-glazing her patio doors, which will cost 350 and save 15 per year. Option B is insulating her loft, which will cost 460 and save 25 per year. Is option A or option B the better long-term option? Which slave group was already in the new world when colonist arrived what would happen if you place two positive charges next to each other and let go. would they attract, stay still, or they would repel Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?Enter your answer, in simplest fraction form, in the box. In The Metamorphosis, Kafka makes it evident that Gregor endures a hellish existence as . Being the sole of the family also takes its toll. He yearns to be free of his job and his familial obligations. It seems as though his wish has been granted when he is transformed into an insect. However, Gregor cannot bask in the joy of his freedom because his physical condition causes , and he is forced to live within the confines of his room. Gregors condition is also a symbol of his from society, which burdens him with too many expectations and unrealistic goals. Can someone give me a situation where energy is being transferred, transformed or both? Thank you! Will give brainliest :) What is the domain of the graphed function? which came about as a result of the Industrial Revolution? if a disease killed all the seagulls what effect would this have on the food web? Sanitizing solution does not become effective until it is exposed to air, detergent, and food particles.TrueFalse describe the difference between sensation and perception, using fireworks on the Fourth of July as an example. Include the sensory stimuli involved, as well as bottom-up and top-down processing Which of the following statements is true? In market equilibrium:a. There are uncomsummated wealth destroying transactionsb. There are unconsummated value creating transactionsc. None of thesed. There are no unconsummated wealth creating transactins The radius of the large sphere is double the radius of thesmall sphere.How many times is the volume of the large sphere than thesmall sphere?02O46O 6O 8 the force that drives fluxes of uncharged particles is : a. heat b. the chemical potential ()c. d / dxd. d / dt Which of the steps of the scientific method means to create an explanation of the facts as you see them?a.Observec.Testb.Hypothesized.PredictPlease select the best answer from the choices providedHURRY, PLEASE HELP ME! Which excerpt is an example of logos in Kennedy's address at Rice University?A. Why choose this as our goal? And they may well ask why climb the highest mountain. Why, 35 years ago, fly the Atlantic?B. {We} shall send to the moon, 240,000 miles away from the control station in Houston, a giant rocket more than 300 feet tall.C. I am delighted that this university is playing a part in putting a man on the moon as part of a great national effort of the United States of America.D. The Mariner spacecraft now on its way to Venus is the most intricate instrument in the history of space science. A student solved the following system of equationsincorrectly using these steps:2x + 5y = 13-x + 4y = 13What error did the student make?In line 2, the student forgot to multiply theright side of the equation by 2.In line 3, the student should have subtractedthe equations instead of adding them.In line 3, the student added the two equationsincorrectlyIn line 5. the student used an incorrectequation when solving for x1 2x + 5y = 132 + -2x + 8y = 13313y = 264y = 2DONE56782x + 5(2) = 132x + 10 = 132x 3X = 1.5The solution to the system is (1.5.2).5Intro Why did the Korean War happen? City Auto Parts recently traded in store fixtures. The exchange had commercial substance. The old fixtures had a cost of $48,000 and accumulated depreciation of $14,000. City paid $101,000 for the new store fixtures. These new fixtures had a market value of $117,000. There is a loss of $18,000 on this exchange.True or False did growing cash crops benefit Africans, European traders, or farmers?