A rectangular lot is 20 yards longer than it is wide and its area is 2400 square yards. Find the dimensions of the lot

Answers

Answer 1

Answer:

120

Step-by-step explanation:

Divide 2400 by 20 to get your answer! It may be wrong

Answer 2

Answer:

W = 40

L = 60

Step-by-step explanation:

L = 20 + W

L*W = 2400

(20 + W)*W = 2400

W^2 + 20*W - 2400 = 0

(W + 60)*(W - 40) = 0

W = 40 (yards)

L = 20 + W

= 20 + 40 = 60

W = 40


Related Questions

Find the distance between the two points in simplest radical form.
(1,8)(6,-4)

Answers

Distance in simplest radical form is 13

Or root 169

How do I get the answers down below? Could anyone help me? I will give brainliest and 25 points :)))
In the figure below, the horizontal lines are parallel. Find the measure of the labeled angles: 2y+2 and 4y-2

THE ANSWERS ARE:
(2y+2)=62degrees
(4y-2)=118degrees
y=30

Answers

Answer:

Step-by-step explanation:

The angles that you have shown are called same side exterior angles.

All same side exterior angles add to 180 degrees

Since we know this, we can make the following equation:

2y+2+4y-2=180

6y=180

y=30

To get each angle you can plug in y:

2*30+2=62

4*30-2=118

I hope this helps :)

Add. 2/3 + 1/4 ...............................

Answers

Answer:

11/12

Step-by-step explanation:

2/3+1/4

8/12+3/12= 11/12

Which graph shows the solution to the equation f(x)= (x-1)(x+4)

Answers

Answer:

the firstn one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We have the function:

[tex]f(x)=(x-1)(x+4)[/tex]

This is a quadratic in factored form.

The zeros of our function will be the opposites of our factors.

We have the factors (x-1) and (x+4).

Therefore, the zeros of our function must be at x=1 and x=-4.

Also, notice that the coefficient of our x-variable are both positive.

Therefore, the leading coefficient will also be positive.

So, this means that our graph must curve upwards.

Therefore, our graph must be curving upwards while crossing the points x=1 and x=-4.

So, our answer is D.

The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the (instantaneous) rate of change of the volume with respect to when = 3 ℎ.

Answers

The correct structure of the question is as follows:

The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3

Then;

V = x^3

The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V

dV/dx = 3x^2

Now, at the moment when x = 3;

dV/dx = 3(3)^2

dV/dx = 3(9)

dV/dx = 27 cubic inch per inch

Suppose it is at the moment when x = 9

Then;

dV/dx = 3(9)^2

dV/dx = 3(81)

dV/dx = 243 cubic inch per inch

11kx+13kx= 6 for x
a: x=4/k
b:x=1/4k
c:x=4k
d:x=k/4
i have no clue smh

Answers

Ion have a clue either just guess C

24kx = 6

kx = 6/24

kx = 1/4

x = 1/4/k

x = 1/4k

A) X = 1/4k or the first option.

Five flowering plants are to be planted between two trees which are 12m apart. If the first tree is 2m away from the house, how far from the house is each of the plants?

Answers

Answer:

2m, 14m, 26m, 38m, 50m

Step-by-step explanation:

In order to calculate the distance of each tree from the house we simply need to add 12m to the initial starting point of the first tree which is 2m away, and then add 12m to that distance and so on until all 5 trees are planted. The distances would be the following...

1st Tree: 2m

2nd Tree: 2m + 12m = 14m

3rd Tree: 14m + 12m = 26m

4rth Tree: 26m + 12m = 38m

5th Tree: 38m + 12m = 50m

Therefore, those are the distances between each tree 2m, 14m, 26m, 38m, 50m

-11/2 divided by 12/5.

Answers

Answer:

Exact Form:

−55/24

Decimal Form:

−2.2916...

Mixed Number Form:

−2 7/24

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Elizabeth and her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?

Answers

18.17$ I believe. Not sure though

Answer:

The tip that the family gave the waiter is 16.69$

Please answer them correctly i need these points please.

Answers

Answer:

The first one is B The second one is D and the last one is A

witch 2 numbers are 4 units away from zero on a number line

Answers

Answer:

it depends which way youre going, but 4 and -4 work.

Step-by-step explanation:

Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound for the almonds? Record your answer and fill in the bubbles on your answer document. Be sure to use correct place value. +/- .

Answers

Answer:

She paid $8,25 per pound

Step-by-step explanation:

Given

[tex]Weight = 1.6\ lb[/tex]

[tex]Total= \$13.20[/tex]

Required

Determine the amount paid per pound

To do this, we simply divide the amount by the weight of Almonds.

[tex]Amount = \frac{Total}{Weight}[/tex]

[tex]Amount = \frac{\$13.20}{1.6\ lb}[/tex]

[tex]Amount = {\$8.25/\ lb[/tex]

Hence, she paid $8,25 per pound

pls answer QUICK PLSSSS

Answers

Step-by-step explanation:

1) 13.57

+2.93

With this, we subtract from the back Meaning we add starting from back to forward;

13.57

+2.93

16.50

We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.

Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.

Answers

Given:

Polynomial is [tex]3x^2+15x-56[/tex].

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

[tex]3x^2+15x-56+(x-8)^2[/tex]

[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex]    [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]=3x^2+15x-56+x^2-16x+64[/tex]

On combining like terms, we get

[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]

[tex]=4x^2-x+8[/tex]

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].

A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the yellow marbles to the blue marbles?

Answers

Answer:

7:3

Step-by-step explanation:

The number of yellow marbles: the number of blue marbles

Answer:

7:3

Step-by-step explanation:

there are 7 yellow marbles and 3 blue marbles

Express this ratio in its simplest form.

240cm : 3.6m

Answers

240 cm : 3.6m
convert 3.6m into cm :
3.6 x 100 = 360cm

240cm : 360cm
2 : 3

WILL MARK BRAINLEST, PLEASE HELP !!!

Answers

Answer:

rate of change = first derivative= g'(x)=-2x+6

plug -3 to 5 into that g'(x) equation, it will be your answer

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

The average rate of change of f(x) on the interval [a, b] is computed from ...

  m = (f(b) -f(a))/(b -a)

On the interval [-3, 5] the average rate of change is ...

  m = (f(5) -f(3))/(5 -(-3)) = ((-5^2 +6·5 +12) -(-(-3)^2 +6(-3) +12))/8

     = (-25 +30 +12 +9 +18 -12)/8 = 32/8

  m = 4

The average rate of change on the interval is 4.

__

Alternate solution

The first derivative of the function is ...

  f'(x) = -2x +6

The average rate of change of a parabolic function on an interval is the rated of change at the midpoint of the interval. Here, the midpoint is x=(5+(-3))/2 = 1, so the average rate of change is ...

  f'(1) = -2(1) +6 = 4

Solve (x + 2 -6).
{x | -6 1}
{x | x < 0}

Answers

Answer:

x^2 + x = 0

Step-by-step explanation:

Simplifying

x2 + x = 0

Reorder the terms:

x + x2 = 0

Solving

x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(1 + x) = 0

Tony bought 255 1-inch nails and 5 boxes of 2-inch nails. Each box of 2-inch nails had equal amounts of nails in them. He bought a total of 620 nails. Find the number of nails in each box of 2-inch nails.

Answers

Answer:

73 nails

Step-by-step explanation:

Number of 1 inch = 255

Boxes of 2 - inch = 5

Each box of 2 _inch has equal amount of nails

Total number of nails = 620

Number of nails in each box of 2_inch nails:

Let Number of nails in each box = b

Number of 1_inch + 5 * number of 2_inch = 620

255 + 5b = 620

5b = 620 - 255

5b = 365

5b / 5 = 365 / 5

b = 73

Hence, there are 73 nails in each box of 2_inch nails

Someone please help me answer this question ​please and thank you.​

Answers

Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards.  A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards.  The object of the game is to be the first to get rid of all the cards in your hand.

 

Preparation:  The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.

Shuffle the cards and deal out 7 cards to each player.  Place the remaining cards in a pile (the draw pile) in the center of the table.  Turn one card over to create the discard pile.

On his/her turn, each player will:

Either draw a card from the draw pile OR pick up the top card of the discard pile.  (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.) 

The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.

If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously. 

If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.

At the end of each turn the player must place a card on the discard pile.  If this is the last card in his/her hand, then he/she is the winner!

Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out.  At that point, the player with the least number of cards in his/her hand is the winner.

Variation:

Students collect cards to make books but can only add a card to a book they have placed on the table themselves.  At the end of the game, the player with the most books is the winner.

In isosceles triangle △ABC, AC is the base and AD is the angle bisector of ∠A. What are the measures of the angles of this triangle if m∠ADB=110°?
I have also tried 220/3 as the base angle, but that is incorrect. Thank you!

Answers

Answer:

Step-by-step explanation: The triangle is isosceles, meaning it has two twin sides, that make two twin angles, namely AB = BC, and the angles at A and C are twins as well. now, the AD segment, is an angle bisector, meaning it cuts the angle at A in two equal halves, so if say the angles are x° each, then the bisectors cut it in (x/2)°. now, we know ∡ADB is 110°, therefore its supplementary angle, in green, is 70°. recall that the sum of all interior angles in a triangle is 180°, thus Check out the photo below

Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?

A. $190
B. $800
C. $950
D. $1,050
E. $1,200

Answers

Answer:

The answer is C.

Step-by-step explanation:

Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :

$100 × 1.5 = $150

Next, you have to find the total amount :

($100×5) + ($150×3)

= $500 + $450

= $950

Last year, a middle school band had 80 students. This year,
the band has 120% of that number of students. How many
students are in the band this year?

Answers

pretty sure 40. i think its 40 because 120 divided by 80 is 1.5 which is half. so 80 divided by 2 = 40. not sure tho

Answer:

The answer actually is 96

Step-by-step explanation:

La distancia que se recorre por carretera para llegar de Guadalajara a Puerto Vallarta, es de aproximadamente 306 km. Si se viaja a una velocidad promedio de 75km/h ¿cuánto tiempo se hará en ese trayecto?

Answers

Responder:

4.08 horas

Explicación paso a paso:

Velocidad = Distancia / Tiempo

Dado

Distancia = 306km

Velocidad = 75 km / h

Necesario

Hora

De la fórmula;

Tiempo = Distancia / velocidad

Sustituye el parámetro dado y obtén el tiempo;

Tiempo = 306 km / 75 km / h

Tiempo = 4.08 horas

Por lo tanto, utilizará 4.08 horas en ese viaje.

ididmidifkjfjkelajlwkgkl5lgltwemigkktimgkgtmr

Answers

Answer:

I aint never seen 2 pretty best friends ;)

Step-by-step explanation:

um no need to get political

What is the answer???????????????????????????????/

Answers

Answer:

Step-by-step explanation:

b

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Answers

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

i neeed answer fast thanks <3

Answers

Answer:

C, 0.28 x 63 = p

Step-by-step explanation:

Basically, C is getting 28% of 63.

This can be better shown in terms of 100. Let's say you want 28 percent of 100.

0.28 x 100 = 28

0.28 x 63 = p

0.28 x 63 = 17.64, which is 28% of 63

Hannah paid for 2.5 pounds of peanuts with a ten-dollar bill. She received $1.20 in change from the cashier. What was the price, per pound, for the peanuts?

Answers

Answer:

$3.52

Step-by-step explanation:

10 - 1.20 = 8.8. Hannah had change, so you need to subtract it to find out how much she paid for 2.5 pounds.8.8/2.5 = 3.52. You are dividing to find the unit rate, which is the price of one pound.

The pencils , p, we're divided into 6 groups of 2

⚠️⚠️Write an equation PLEASEE I’m almost done ⚠️⚠️

Answers

Answer:

6 divided by 2 =p (a made a little graph at the bottom to demonstrate)

Step-by-step explanation:

.  .  .  .  .  .          Graph←

.  .  .  .  .  .

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