A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?

Answers

Answer 1
Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long

Related Questions

Number 3 answered please

Answers

Answer:

Step-by-step explanation:

n=3p, d=p-2

10d+5n+p=110 using n and d from above makes this become

10(p-2)+5(3p)+p=110

10p-20+15p+p=110

26p-20=110

26p=130

p=5

n=3p=3(5)=15

d=p-2=5-2=3

So she has 3 dimes, 15 nickels, and 5 pennies.

Identify the y-intercept (initial value) in the function
f(x)=130.27)^x
.27
3.51
13
.27
HURRY PLS

Answers

Answer: 13

Step-by-step explanation:

In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.​

Answers

Answer:

is two more than the row before

Step-by-step explanation:

i hope i help\

Jordyn is weighing the ingredients on a kitchen scale to make bread. The bowl weighs 1 12 pounds. He adds several scoops of flour. the total weight of the bowl and the flour is 2 34 pounds. If each cup weighs 516 pound, how many cups of flour does he add?

Answers

Answer:

4 POUNDS OF FLOUR

Step-by-step explanation:

The number of cups of flour he added is 4.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Bowl weight = 1(1/2) pounds

Number of cups of flour weight = x pounds

Now,

Total weight = 2(3/4) pounds

1(1/2) + x = 2(3/4)

x = 11/4 - 3/2

x = (11 - 6)/4

x = 5/4

Now,

Weight of each cup of flour = 5/16 pounds

Now,

The number of cups of flour.

= 5/4 ÷ 5/16

= (5 x 16) / (4 x 5)

= 4

Thus,

The number of cups of flour is 4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

if you answer all the questions I will give you 80 points and brainliest

Answers

Answer:

1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216

2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188

3) SA = 2(6*12 + 14*12 + 6*14) = 648

4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270

5) 2(16*9 + 4*9 + 16*4) = 488

6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8

7) SA = 2(7*7 + 14*7 + 7*14) = 490

8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28

9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564

Answer:Answer:

1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216

2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188

3) SA = 2(6*12 + 14*12 + 6*14) = 648

4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270

5) 2(16*9 + 4*9 + 16*4) = 488

6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8

7) SA = 2(7*7 + 14*7 + 7*14) = 490

8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28

9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564

Step-by-step explanation:

simply the following expression:
a⁴ = a⁵​

Answers

Answer:

a9

Step-by-step explanation:

Write an equation for the trend line shown. Type answer in y = mx + b format.

Answers

Answer:

y=1/4x+250

Step-by-step explanation:

Answer:

y = 12.5x + 250

Step-by-step explanation:

(4,300) , (8,350)

m = 350 - 300 / 8 - 4 = 25/2 = 12.5

y - 300 = 12.5(x - 4)

y - 300 = 12.5x - 50

y = 12.5x + 250

The ratio of blue paint to yellow paint in a green paint mixture is 2:3. If you use 16 ounces of blue paint how much ounces of yellow paint. Use tape diagram

Answers

Answer:

Step-by-step explanation:

2 in 2:3 is the amount of blue paint

3 in 2:3 is the amount of yellow paint

Figure out how many times to multiply 2 to get 16:

16/2=8

Now, multiply 3 by 8, which would be equal to 24.

Ratio: 16:24

PLEASE I NEED HELP QUICK I HAVE A TIME LIMIT

Answers

Answer:

Step-by-step explanation:

AC² + AP² = PC²

AC² + 5² = 13²

AC = 12

radius = AC/2 = 6

Find the measure of exterior 1.

Answers

The answer would be 90.

Answer:

90 degrees

Step-by-step explanation:

A.P.E.X

What is the value of the expression two less than six times the difference of a number and five" when n = 9?
022
016
O 32
31

Answers

Answer:

22

Step-by-step explanation:

6(n - 5) - 2

6(9 - 5) - 2

6(4) - 2

24 - 2

22

Answer:

22

Step-by-step explanation:

Because it is the "Correct Answer"

How many 1/5’s are in 2

Answers

Answer:

10 fifths

Step-by-step explanation:

Answer:

There are 2 halves in a whole. There are 3 thirds in a whole. There are 4 quarters in a whole. There are 5 fifths in a whole.

Step-by-step explanation:

I guess 0.4 times?

How many years are in 525,000 minutes? Round to the nearest whole.
(1 hour=60 minutes, 1 day=24 hours, 1 year=365 days)

Answers

Answer:

About 1 year

Step-by-step explanation:

The last options is 5 cm, I need help

Answers

Answer:

it is d.2.5

Step-by-step explanation:

If you see it correctly that  NO is perpendiculer/equal  toNQ and that means if the half is 2.5 then the other half is also 2.5!

Well, i hope it helps! have a nice day!

What is the value of n?

Answers

the value is 320 your welcome :p
The answer is 369 because 456-87 =369

Which statement is true?

1 yard = 3 feet

1 yard = 10 feet

1 yard = 12 feet

1 yard = 36 feet

Answers

Answer:

1 yard = 3 feet

Step-by-step explanation:

1 yard = 3 feet

What is the answer i need helppp
48 ÷ 2(9 + 3)

Answers

Answer:

288

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

I just did the math

The answer was 288

Find the value of x.

Answers

Answer:

x=20

Step-by-step explanation:

Since the sides are congruent that means the angles are congruent

When they are congruent you can equal them to each other

9x + 80 = 7x + 120

2x= 40

x=20

Which expression has a lesser value than -10? a. 8+ (-12)
b. – 14 – 2 + 8
c. 4-(-12)
d. - 2 +(- 12) + 2
please show work! ​

Answers

Answer:

D

Step-by-step explanation:

Which expression has a lesser value than -10?

a. 8+ (-12)= -4

b. – 14 – 2 + 8= -16+8= -8

c. 4-(-12)= 16

d. - 2 +(- 12) + 2 = -12

Answer:

Step-by-step explanation:

a.

8 +(-12) = 8-12 = -4

-4 > -10

b.

14-2+8 = 12+8 = 20

20 > -10

c.

4-(-12) = 4+12 = 16

16 > -10

d.

-2+(-12)+2 = -2-12+2 = -14+2 = -12

-12 < -10

Whats the value c
Pleaseee help

Answers

Step-by-step explanation:

the value of x is 20 that's it good luck

Step-by-step explanation:

6c + c + 10 + c + 10 = 180

8c = 160

c = 20

Why did the 30-60-90 triangle marry the 45-45-90 triangle

Answers

Answer: because they were right for each other.

Step-by-step explanation:

The cause due to which the triangles 30-60-90 married the triangle 45-45-90 would be:

They were right for each other.

Sum Property of Triangle

The sum of property of triangle states that the three angles of triangle give the sum of 180°.

Given that,

Two sets of triangles having the measures:

First set = 30°-60°-90°

Second set = 45°-45°-90°

The first set marries the other as they both are right i.e. 90° to one another and give an equal sum of 180°.

Thus, the above answer is correct.

Learn more about "Triangle" here:

brainly.com/question/25813512

I will give brainliest to the first one that does it correctly

Answers

Answer:

180-138

=42, is the answer

Solve for x. Round to the nearest tenth. 2.
39°
27

Answers

Answer:

33.3

Step-by-step explanation:

Reference angle = 39°

Opposite = 27

Adjacent = x

Apply TOA. Thus:

Tan 39 = Opp/Adj

Tan 39 = 27/x

x * Tan 39 = 27

x = 27/Tan 39

x = 33.3422232 ≈ 33.3 (nearest tenth)

help with math please!!!

Answers

Answer:

[tex]\Huge\boxed{240ft^2}[/tex]

Step-by-step explanation:

Hello There!

The figure shown is a trapezoid with the following dimensions

base 1 = 12ft

base 2 = 20 ft

height = 15 ft

Given these dimensions we need to find the area

We can do this by using the area of a trapezoid formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

Knowing the dimensions all we have to do is plug in the values

[tex]A=\frac{12+20}{2} 15\\12+20=32\\\frac{32}{2} =16\\16*15=240\\A=240ft^2[/tex]

So we can conclude that the area of the floor that needs to be replaced with tile is 240 ft²

ANSWER:
240ft squared

STEP BY STEP:
1) find the area of the square (15x12)
2) find area of triangle (8x15)/2
Add these numbers up (180+60)

Hope this helps

Larry bought 24 marbles little lost half of his marbles how many did he lose​

Answers

Answer:

12

Step-by-step explanation:

his he had lost 12 of his marbles then he would only have 12 left to begin with.

to do this we can do the equation:

24/0.5 (the 0.5 is the represent that the 24 marbles had been split into two, a half for each party)

this would then give use our quotient of 12 marble he had lost

Classifying Quadrilateral

Answers

top right would be rhombus

Answer:

Step-by-step explanation:

Answer 12.9

What is the perimeter of the triangle?

Answers

Step-by-step explanation:

perimeter of triangle = sum of all sides

Solve for x. Round your answer to the nearest tenth

Answers

[tex] {x}^{2} = {24}^{2} - {23}^{2} \\ \\ {x}^{2} = 576 - 529 \\ \\ {x}^{2} = 47 \\ \\ x = \sqrt{47} [/tex]

2. It takes the 1st hose 3.25 hours to fill the empty tank
by itself while both hoses can fill it in 1.25 hours. How
long will it take the 2nd hose to fill the empty tank by
itself?

Answers

Answer::

Step-by-step explanation:

A shopkeeper marks the price of an article
30% above its cost price and gives a customer discount of
15%. A customer bought that article including 13% VAT at
Rs. 1872.975. Find the marked price of the article and the
gain of shopkeeper

Answers

Answer:

The gain percent made by shopkeeper is 10.5%.

Step-by-step explanation:

Given:

Price at which goods are marked = 30%

Discount on the marked price = 15%

To Find:

Gain percentage of the shopkeeper

Solution:

Let the cost price of the product be = 100

Therefore,

MP = 30 + 100 = 130

Since discount is 15%. thus -

Discount = 15/100 x 130

= 19.5

Selling price = MP - Discount

SP = 130 - 19.5

= 110.5

Profit = SP - CP

= 110.5 - 100

= 10.5

Calculating the gain%

Gain% = 10.5/100 x 100

= 10.5

Answer: The gain percent made by shopkeeper is 10.5%.

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