Mathematics High School

The length of a rectangle is 3 cm greater than its
width. Its area is 108 cm. Find the dimensions
of the rectangle.

Answers

Answer 1
So the Area = length • width
so first say the width is x so the length is +3 then the width so the length is (x+3)

the formula would be; x•(x+3) = 108
x=9

so the width is; 9 cm
and the length is; 9+3= 12cm
Answer 2

The length is 12 cm and width is 9 cm.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area = 108 cm²

and, The length of a rectangle is 3 cm greater than its width.

let the width of rectangle be x.

so, length = x+ 3

So, Area of Rectangle = l x w

108 = x(x+ 3)

x² + 3x -108 = 0

x² + 12x - 9x  -108 = 0

x( x+ 12) -9 ( x+ 12)= 0

(x + 12)(x- 9)=0

x= -12, +9

So, length is 12 cm and width is 9 cm.

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Related Questions

2. You and 5 friends went out to eat at Little Italy.
The bill was split equally and each person paid
$13.26. Write and solve an equation to find the
amount of the total bill.

Answers

Answer:

13.26 * 6 =79.56

Step-by-step explanation:

The answer is 79.56$ total bill
There are 6 people and each paid 13.26 and 13.26x6=79.56

for the function h(x) = 4x2 -5x what is the value of (-3)

Answers

Answer:

h(-3) = 51

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = 4x² - 5x

h(-3) is x = -3

Step 2: Evaluate

Substitute in x:                     h(-3) = 4(-3)² - 5(-3)Exponents:                           h(-3) = 4(9) - 5(-3)Multiply:                                h(-3) = 36 + 15Add:                                      h(-3) = 51

Answer:

f(-3) = 51

Step-by-step explanation:

f(x) = 4x^2 - 5x

f(-3) = 4(-3)^2 - 5(-3)

f(-3) = 4*9 - (-15)

f(-3) = 36 + 15

f(-3) = 51

How do you find the slope when you are only given an equation or a table?

Answers

Answer:

All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope in an equation is the number before the x

in a table it is y2-y1/x2-x1

What is (29-7) x 7^2+6

Answers

Answer:

used bedmas

Step-by-step explanation:

=(22)x49+6

= 1070+6

=1076

Alison bought 5 boxes of erasers,
Each box had 212 erasers. How
many erasers did she buy in all?

Answers

Answer:

1,060

Step-by-step explanation:

Each- Means multiplication.

You can add 212 - 5 times

212x5

Answer:

1060

Step-by-step explanation:

212 x 5 = 1060

212

x5

5x200=1000

5x10=50

5x2=10

1000+50+10=1060

Solve x TN = 8 nV =x - 2?

Answers

Answer:

10

Step-by-step explanation:

STUV is a parallelogram.

TV and SU are its diagonals intersecting at point N.

Diagonals of a parallelogram bisects each other.

Therefore, TN = NV

8 = x - 2

8 + 2 = x

10 = x

x = 10

Find the prime factorization of 120.


23 × 3 × 5

2 × 32 × 5

2 × 3 × 5

2 × 32 × 52

Answers

Answer:

(7/8 - 4/5)^2 = 9/

1600

= 0.005625

Step-by-step explanation:

Subtract: 7/

8

- 4/

5

= 7 · 5/

8 · 5

- 4 · 8/

5 · 8

= 35/

40

- 32/

40

= 35 - 32/

40

= 3/

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven eighths minus four-fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = 3/

40

^ 2 = 32/

402

= 9/

1600

In words - three-fortieths squared = nine one-thousand six-hundredths.

FACTORIZE :-
[tex]6 ^{2} + 6p + 8[/tex]
​

Answers

2(3p+22). Hope this helps!

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

–10.5 9

–21/5 ≤ –5/2d

Answers

Answer:

No. ≤  means less than or equal to

Step-by-step explanation:

Find the sum or difference:

(2w - 9) + (-4w - 5)

(6d + 5) - (2 - 3d)

(4 - 5y) - (2y - 16)

Answers

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

There are 20 different colored marbles in a bag and 4 of them are yellow. What
percentage of the marbles are yellow?

Answers

Answer:

20%

Step-by-step explanation:

4/20 * 100=20

Which of the following is not a rational number?A)22 B) ⅓ C)―16 D) 0.343

Answers

Its 0.343 because it cannot be expressed as a fraction or whole number

A line passes through the point (8,-9) and has a slope of -5/4.
Write an equation in point-slope form.

Answers

Answer:

 y=-5/4x-19

Step-by-step explanation:

y=-5/4(x(-8))-9

y=-5/4x-10-9

y=-5/4x-19

1. Slope
M = -5/4

2. Y- intercept
Y = mx + b
-9 = (-5/4)(8) + b
-9 = -10 + b
-9 + 10 = -10 + 10 + b (the ten cancels out and we are just left with our b)
1 = b

So, therefore, the equation is:
Y = -5/4x + 1


A macaroni and cheese dish had 250 g of macaroni and 45 g of cheese.
What percent of the dish was cheese?

Answers

18% of the dish was cheese

Answer:

15.25%

Step-by-step explanation:

total 45+250= 295

so percentage (45/295)×100

= 15.25%

A. Reflection
B. Rotation
C. Translation
D. No Transformation

Answers

Answer:D I think might be wrong

Step-by-step explanation:

A computer normally costs
$650, but it is on sale for
15% off. What is the sale
price of the computer?

Answers

Answer:

$552.50

Step-by-step explanation:

650×.15=97.5

650-97.5=552.5

15 pointsss

The wholesale price of a dress at Macy's is $250 before they markup the product by 3/4. Sally, a customer, purchases the dress using a coupon giving her 1/5 off of the dress. How much does she pay after markup and discount is applied?

A. $200
B. $87.50
C. $250
D. $350

Answers

The answer to this question is option B

Simplify the following and express the result in positive exponential form


( 3/11)-2 x ( 3/11)-5

Answers

Answer:

Step-by-step explanation:

Solution:

Your problem → (3/11)-2 x (3/11)-5

(3/11)-2x(3/11)-5

=(3/11)-2x × (3/11)-5

=(3/11)-(6x/11)-5

=(3-6x-5×11)/11

=3-6x-55/11

=(-52-6x)/11

Melissa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $ 0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish?

Answers

$12...................

PLEASE HELP me!!! can give brainliest!


Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )

Answers

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

Who can help with this question please?​

Answers

Answer:

Let the sum be x.

Using formula,

I=

100

PRT

​

=

100

x×

12

15

​

×

2

15

​

​

−

100

x×

12

8

​

×

2

25

​

​

=32.50

⇒

2400

25x

​

=32.50

⇒x=

25

32.50×2400

​

=3120

∴ Required sum =Rs.3120

Step-by-step explanation:

Using the sum of the angle measures of a triangle, m angleC=?

Answers

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B +  m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

m∠C = 66°


please help i will mark branliest

Answers

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

A. S=3w

Good luck, and have a great day!

Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $

Answers

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

Please solve

16 > -8 + x

Answers

Answer:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

The Perimeter of the scalene triangle is 54.6cm

Which equation can be
used to find the value of b if side a measures 8.7 cm?

a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6

Answers

Answer: B. 17.4+b=54.6

Step-by-step explanation:

Edgen 2023

The equation can be used to find the value of b is 54.6 = 34.8 + b.

We have,

The border of the triangle is54.6 cm

and side a = 8.7 cm,

So, Perimeter = sum of the lengths of the three sides

54.6 = a + 3a + b

54.6 = 4a + b

We know a= 8.7 then

54.6 = 4(8.7) + b

54.6 = 34.8 + b

Therefore, the needed equation is54.6 = 34.8b.

Learn more about Perimeter here:

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help Math 39 points Asap Probability image below

Answers

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

On Monday, Aisha spent 5 over 6 of an hour practicing the violin. On Tuesday, she practiced for 2 over 3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?

Answers

Answer: 1/6

Step-by-step explanation:

5/6 - 4/6 = 1/6

Answer:

1

-

6

Step-by-step explanation:

What is the initial value of a function?

Answers

Answer:

The answer is The corresponding x-value when y equals 1

Which of the following coordinate points is a solution to the inequality y>= -3x+6
A (-2,4)
B (3,-4)
C (4,3)
D (-5,-3)​

Answers

Answer:

I need help ok so this is correct it is c

Step-by-step explanation: First

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