The length of a rectangle is 3 cm more than twice the width. The area of the rectangle is 65 square centimeters. Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

5 cm and 13 cm

Step-by-step explanation:

Let b be the width of the rectangle.

Length = 3+2b

The area of the rectangle is 65 cm²

We need to find the dimensions of the rectangle. The area of a rectangle is given by :

A = lb

[tex]65=(3+2b)b\\\\65=3b+2b^2\\\\3b+2b^2-65=0\\\\b=5\ cm,-6.5\ cm[/tex]

Neglecting the negative value, the width of the rectangle is 5 cm.

Length = 3+2b

=3+2(5)

=3+10

=13 cm

Hence, the dimensions of the rectangle are 5 cm and 13 cm.


Related Questions

2a + 2b = y


Solve for the variable, a

Answers

2a=y-2b
a=y-2b/2
a=y/2 -b

hope this helps !

Answer:

A= y−2B/2

Step-by-step explanation:

Its in a fraction form

The price of a house increases in value from £149,950 to £182,500
Find the percentage increase. Give your answer to 1 decimal place.

Someone help me ASAP please

Answers

Answer is 21.7%

Find difference in price:

182,500 - 149,950 = $32,550

Divide difference by original price:

32,550/149,950 x 100 = 21.71%

How many 1/2s are in 7? Then, write a multiplication equation and a division equation that answer the question.

Answers

Answer:

14

Step-by-step explanation:

How many 1/2s are in 7? Then, write a multiplication equation and a division equation that answer the question.

Let the number of 1/2s = x

Hence:

Division Equation =

7 ÷ 1/2

Multiplication Equation =

= 7 × 2/1

= 14

There are 14 1/2s in 7

What is the total cost of an item that cost $43 when you add the sales tax (.0825)?

Answers

Answer:

43.0825

Step-by-step explanation:

I don't know if the tax is percentage or just adding

1. Which is the solution to the following
system of equations?
y =3x-2
2
y = -x +3
Someone please help

Answers

Answer:

(1.25, 1.75)

Step-by-step explanation:

please help me its mad confusing​

Answers

Answer:

x = -3

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

The first step is getting the denominators equal

We can do this by multiplying the left side by 2/2 and the right side by 3/3 to get

[tex]\frac{2(12+6x)}{6}=\frac{3(5-9)}{6}[/tex]

The fractions cancel out and we're left with

2(12+6x)=3(5-9)

from here you just need to simplify and solve for x

24+12x= -12

12x= -36

x= -3

whats [tex]\sqrt[3]{-27}[/tex]
PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

-3

Step-by-step explanation:

Simplify the radicand into a product of know factors.

Hope this helps.

Give brainliest if you want.

PLEASE I WILL GIVE BRAINLIEST!
After 10% sale discount, the price of an item became $45.00. What was its original price.

Answers

Answer:

$50

Step-by-step explanation:

If you do the math, 10 percent of $50 is $5.

$50 - $5 = $45

Hope that helps!

Answer:

$50

Step-by-step explanation:

Let the original price was $x.

Therefore,

x - 10% of x = 45

x - 0.1x = 45

0.9x = 45

x = 45/0.9

x = $50

So, the original price was $50.

Guys please help me man. Please

Answers

Answer:

7.4

Step-by-step explanation:

I did this before that's how I know

2x +1=-7 + 2x
how many solutions does this equation have ?

Answers

Step-by-step explanation:

this question is wrong

36638338

0=-8 no solutions
Mark me brainly!

help!! please, im struglling with this one

Answers

11/15 find a common denominator and add

The larger of two numbers is five more than the smaller. Twice the larger is twenty less than four times the smaller. Find the numbers.

Answers

Answer: Small number = 15.

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

The larger of two numbers is five more than the smaller. Thus, the larger number is x+5.

Twice the larger is twenty less than four times the smaller. This can.be written as:

2(x + 5) = 4x - 20

2x + 10 = 4x - 20

2x - 4x = -20 - 10

-2x = -30

x = 30/2

x = 15

The smaller number is 15

Larger number = x + 5 = 15 + 5 = 20

A ramp is in the shape of a triangular prism.The ramp and its net are shown below.What is the surface area of the ramp

Answers

Answer:

The answer is "[tex]\bold{240 ft^2}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

In the given question, the ramp shape of the triangular prism has 5 sides in which two sides were similar, and other four sides were different, that's why its surface area calculation can be defined as follows:

[tex]\to 5 \times 12= 60 \ ft^2 \\\\ \to 6 \times 13=78 \ ft^2 \\\\\to 5 \times 6=30 \ ft^2 \\\\\to 6 \times 12=72 \ ft^2 \\\\[/tex]

By adding the sides of the area its value is= [tex]\bold{240 ft^2}[/tex]

Solve for x.
112°
(5x - 3)°
(4x + 16)°

Answers

Answer:

11

Step-by-step explanation:

180 - 112 = 68

4x + 16 +5x - 3 + 68 = 180

simplify.

9x + 81 = 180. subtract 81 from 180

9x = 99. divide 99 by 9

x = 11.

To find x add the two interior angles together and put them equal to 112 (the exterior angle).

ANSWER: 109/9

An iPhone 12 Pro phone case normally costs $21.00 but it is on sale for 25% off. What is the sale price of the iPhone case? ​

Answers

Answer:

$15.75

Step-by-step explanation:

If (x-3)^2=5, what value of x make the quadratic TRUE?​

Answers

Answer:

6

Step-by-step explanation:

6

The answer to this is 6

pls help there are 5 pics with multiple questions inside of them pls thank you

Answers

Answer:

1. LHJ

2. AB

3. Acute

4. Complement 30, supplement 120

5. AOD

6. 61

7. acute

8. 36

9. Octogon

Step-by-step explanation:

es urgente necesito ayuda​

Answers

ANSWER

a)56
b)134
c)27
d)141

How many terms are in the following expression: 8y + (2 x 11) *

1) 0
2) 1
3) 2
4) 3

Answers

Answer:

4) 3

Step-by-step Explanation:

A term is all the numbers/variable on each side of the addition/multiplication/subtraction/division signs. So the terms are : 8y, 2, and 11

Hope this helps !

Another house is sold for £283,392
This is 1.6% less than the price paid for the house. What was the price paid?​

Answers

Answer:

the price paid is  £288,000

Step-by-step explanation:

The computation of the price paid is shown below:

Sale of the another house is £283,392

Since the another house would be 1.6% less than the price paid

So, the price paid would be

=  £283,392 × 100 ÷ (100 - 1.6%)

=  £283,392 × 100 ÷ 98.4

=  £288,000

Hence, the price paid is  £288,000


It rained 4/5 inches on Monday.

On Tuesday, it rained 7/10 inches less than it did on Monday.

How much did it rain on Tuesday?
Answer:
inches.
Write your answer as a decimal.

Answers

it rained 1.5 inches. 4/5=0.8 and 7/10=0.7 add those together and that’s your answers Brainliest would be appreciated :)

MATH GRB MP2 2020-21 7 7 of 12
Find the perimeter of the rectangle. Write your answer in the SIMPLEST FORM by combining like terms if you need to. Show your work
or explain how you found your answer.
x + 7

Answers

Answer:

21

Step-by-step explanation:

help please i’ll mark brainlist

Answers

Answer:

b

Step-by-step explanation:

in order for it to be a function the x values cannot repeat.

in answer b the x value 6 repeats twice therefore it is not a function

Answer:

I think thqat the answer is b

Step-by-step explanation:

How do you solve this problem using polynomial division? Help

Answers

Answer :
I inserted a photo hope it helps :)
Hope this helps :)

x^3-5x+6
Over
x-3

Write down the ratio of 220kg to 5kg give your answer in its simplest form?

Answers

Answer:

44:1

Step-by-step explanation:

220:5

44:1

divide by 5 each side

Pls mark as brainliest

Help!! I'll name you the brainliest!!

Answers

Just get a brain

S

Jksjsisisisjsjjsjdjdjdjd

PLEASEEE HELP ME AND CAN YOU PLEASE SHOW YOUR WORK :)

Answers

M = 16 so 16 successful by 2 would be your answer

Answer:

Hey! so the answer is N=2

Step-by-step explanation:

Add 12 to both sides of the equation

Simplify

Add 3 to both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution

=2

Hoped this helped Im Eve btw. Hope you have a great day and consider marking this brainliest Thank you so much if you do! ✨

54,675+33,548,000x^1+a^2=?

Answers

Answer:

?

Step-by-step explanation:

54,675+33,548,000x^1+a^2=

get rid of ^1 cuz that doesn't change the value

a^2 can be written as 2a because a^2= a*a and 2a= a*a

54,675+33,548,000x+2a

54,675+33,548,000x= -2a-54675

33,548,000x=-2a-54675

16774000x=-a-27337.5

x=-a - 27337.5

x=-a-27337.5/ 16774000

I obviously know this isn't a real question but here

Answer:

Step-by-step explanation:hey Karlie

Hi can someone plaese finf the slope of this.​

Answers

Answer:

5/2 is the slope

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The rule for slope is rise/run. So you will rise from the point on (0, -3), all the way until you reach the same line as the other point, which is rising up 4. And then you would run to the point which is 2. rise/run = 4/2, therefore you divide to get 2. I hope this helps :)

Susie and Katie received candies on Valentine's Day. Susie received four less candies than Katie. Together, they received 16 total candies. How many candies did each of the girls receive?​

Answers

Answer: Katie-10 Susie-6

Step-by-step explanation:

Total 16 candies

Susie=k-4

Katie- 10 candies

susie- 6 candies

10+6=16

10-6=4

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