What is the area of the rectangle?

What Is The Area Of The Rectangle?

Answers

Answer 1

Answer:

Area = 396 units²

Step-by-step explanation:

Let's assume:

Length = 2c - 5

Width = 5c + 9

Perimeter = 2(L + W) = 106 units

Thus:

2[(2c - 5) + (5c + 9)] = 106

Find the value of c

2[2c - 5 + 5c + 9] = 106

2[7c + 4] = 106

14c + 8 = 106

14c = 106 - 8

14c = 98

Divide both sides by 14

c = 98/14

c = 7

✔️Area of the rectangle = Length × Width

Area = (2c - 5)(5c + 9)

Plug in the value of c

Area = (2×7 - 5)(5×7 + 9)

Area = (14 - 5)(35 + 9)

Area = (9)(44)

Area = 396 units²


Related Questions

Apply the distributive property to create an equivalent expression.
1/5 (15+10k) =

Answers

Answer:

1/5(15+10k)

=1/5.15+1/5.10k

=3+2k

Answer:

3+2k

Step-by-step explanation:

khan said so

if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?

Answers

Answer:

936 quarts

Step-by-step explanation:

[tex]n=24*39=936quarts[/tex]

10. Andy is flying an airplane at an altitude of 12,000 feet over the ocean heading towards and island. His instruments show that the airplane will be directly over the island after flying horizontally 30,000 feet. To land the plane safely, Andy needs to calculate the angle of depression.​

Answers

Answer:

I think is D

Step-by-step explanation: I don’t know :/

Use the distributive property to find two expressions that are equivalent to 73x = 4).​

Answers

Answer:

this is the answer to your question x=73/4; 4/73=1/x

Help help help help help

Answers

9x-15=8x+12
9x=8x-3
... x=27

8(27)+12
...
HI= 228

Which describes the relationship between 1 and 22?
2
O 21 and 2 are complementary angles.
O 1 and 2 are equivalent angles.
O 1 and 2 are adjacent angles.
1 and 2 are supplementary angles.

Answers

Answer:

3rd circule

Step-by-step explanation:

cause yo hair nappy........

Answers

No your hair is nappy

Answer:

what do you mean?

Step-by-step explanation:

Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

Answers

Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

= 0.572

p(A|C) = 88% = 0.88

p(C|B) = 70% = 0.7

a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

Answer:

which ever one you want its an opinion answer.

Step-by-step explanation:

whats 2 plus 2?////////////////////////////////////////////////

Answers

Answer:

4

Step-by-step explanation:

its like you have 2 fishes and you get two more

Answer:

4

Step-by-step explanation:

When you have two question marks and add two more you have four

????

1234

help me on my geometry homework? :/

Answers

Answer:

You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.

I used triangles

The rotated point would be at (1, 2)

ANSWER: the question mark = 1

A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?

Answers

Answer:

(a) (log X - log 25000)/log 0.85 = t

(b) about 9.9 years

Step-by-step explanation:

(a)   Let X = value and t = elapsed years since purchase; X in dollars

X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year

(If you lose 15% of value, you have 85% left, right?)

So if you do it for t years, you have t as the exponent on the 0.85 factor.

[tex]X = 25000(0.85)^t[/tex]  is a good equation, but not logarithmic like they ask.

[tex]log X = log 25000 + log [(0.85)^t][/tex]    because the log of a product is the sum of the logs of the factors

log X = log 25000 + t*log 0.85  because the log of a power is power times log

log X - log 25000 = t* log 0.85    just algebra, subtracting from both sides

(log X - log 25000)/log 0.85 = t   just algebra, dividing both sides

(b)  If we let X = $5000

t = (log 5000 - log 25000)/log 0.85

 = (3.69897 - 4.39794)/-0.07058

 =  9.90

So t = 9.9 years is a good estimate

Carl will have approximately 5.06 years until his new car is worth about $5000.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let V(t) be the value of the car t years after it was purchased.

We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:

[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]

Simplifying this equation, we get:

[tex]V(t) = 25000 \times 0.85^t[/tex]

Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.

We can set V(t) equal to x and solve for t:

[tex]25000 \times 0.85^t = x[/tex]

log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)

Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:

[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)

Divide both sides of the equation by log0.85(0.85) = 1:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

b) We want to find the number of years it will take for the car to be worth $5000.

Substituting x = 5000 into the formula derived in part (a), we get:

t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)

t = 5.06

Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box

Answers

Answer:

where are the stones

Step-by-step explanation:

Answer:

you have to figure out how big the stones are and add to the box accordingly

Step-by-step explanation:

2/5 help me pls hiougfyxydtr6gdxfg

Answers

Answer:

0.4

Step-by-step explanation:

Divide 2 by 5 you'll get 0.4

–5(–x + 4)
need help

Answers

Answer:

5x−20

Step-by-step explanation:

−5(−x+4)

=(−5)(−x+4)

=(−5)(−x)+(−5)(4)

=5x−20

Date:
.
'. Due to coxid-19 pandimec, the Jacinto
Family donated 180 pos Face Shield
and the aguinaldo family also don
213 pcs of pace shield to the front
liner, If a face shield cost 8m pesos
How much
the total cost of
donation.
tone soola​

Answers

Answer:

It's 3,114: )

Step-by-step explanation:

Because if you multiply the 8m to 180 it will remain to 1,440 plus additional 1,704 so it will be 3,114, the main answer

What type of rock do we have in Florida naturally. If it is not this kind of rock someone has brought it here. Group of answer choices A. igneous Rock B. Metamorphic rock C. Spanish Rock D. Sedimentary Rock

(i know its not math but still)

Answers

Answer:

D. Sedimentary Rock

Explanation:

Limestone, various kinds

Hope that helps

Please help me, willing to pay! Drop gcash no.​

Answers

Answer:

1. a+b

2. x+7

3. r^2

4. (a-12)

5. z-14

1. a+b
2. x+7
3. 2r
4. a-12
5. z-14

write f(x)=(x-2)(x+2)(x+1)^2 as a polynomial function​

Answers

Answer:

Step-by-step explanation:

[tex](x-2)(x+2)((x+1)^2\\ \\ (x^2-4)(x+1)^2\\ \\ (x^2-4)(x^2+2x+1)\\ \\ x^4+2x^3+x^2-4x^2-8x-4\\ \\ x^4+2x^3-3x^2-8x-4[/tex]

Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

Answer:

(2.5,3.5)

Step-by-step explanation:

Omni calculator

Answer:

(2.5, 3.5)

Step-by-step explanation:

Find whether the pair of linear equations y = 0 and y = -5 has no solution, unique solution

or infinitely many solutions​

Answers

Answer:

infinitely many solutions​

Answer:

NO SOLUTION

Step-by-step explanation:

Is 16 a multiple of 8?

Answers

Answer:

have a good day!

Yes it is.

Which dot plot matches the tally chart below?

A 2-column table with 5 rows. Column 1 is labeled Pull-ups Completed in one minute with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.

A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 2 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 5. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 1 dot, and 6 has 0 dots.

Answers

Answer:

option 1

Step-by-step explanation:

Answer: 1st one

Step-by-step explanation:

Give 3 values for x that make the inequality true. x < 3

Answers

Answer:

2, 1, 0

Step-by-step explanation:

they are less than 3 (Please mark brainliest)

Solve the equation by balancing 3n+2=17

Answers

Answer:

3n=17-2

3n=15

n=15/3

n=5

Step-by-step explanation:

therefore putting the value of n=5 the equation can be balance

3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method ​

Answers

Answer:

x = 2/5, y= -22/5

Step-by-step explanation:

4x−y=6;3x−2y=10

Step: Solve4x−y=6for y:

4x−y+−4x=6+−4x(Add -4x to both sides)

−y=−4x+6

-y/-1 = -4x +6 over -1 (Divide both sides by -1)

y=4x−6

Step: Substitute4x−6for y in 3x−2y=10:

3x−2y=10

3x−2(4x−6)=10

−5x+12=10(Simplify both sides of the equation)

−5x+12+−12=10+−12(Add -12 to both sides)

−5x=−2

-5x/-5 = -2/5 (Divide both sides by -5)

x=  2 /5

Step: Substitute  2/ 5  for x in y=4x−6:

y=4x−6

y=4 ( 2/ 5 ) −6

y=  −22 /5

(Simplify both sides of the equation)

x = 2/5, y= -22/5

Tropical Storm Enteng travels 600 miles while Tropical Depression
Gener travels 520 miles at the same time. Find the rate of each if
Enteng’s average rate is 15mph faster than Gener’s.

Solve with distance, rate & time table formula

Answers

Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Answer:

Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Step-by-step explanation:

A man bought a certain number of golf balls for RM 20. If each ball has costed 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?​

Answers

Answer:

He bought 20 balls

Step-by-step explanation:

Cost of a certain number of golf balls = $20

Let 1 golf ball cost $x

This means number of balls bought = 20 / x

If each ball has costed 20 cents less;

Converting 20 cents to dollars = $0.2

$x - $0.2

he could have bought five more for the same money.

Number of balls = 20/x + 5

Using the formulae;

Cost of 1 ball * Number of balls bought = Amount spent

(x-0.2) (20/x + 5) = 20

Expanding the expression;

x(20/x + 5) - 0.2(20/x + 5) = 20

20 + 5x - 4/x - 1 = 20

19 + 5x - 4/x = 20

5x - 4/x = 1

Multiplying all through by x

5x^2 - 4 = x

5x^2  - x - 4 = 0

(5x + 4)(x - 1) = 0

x = 1 or -4/5

-4/5 is unrealistic hence the correct value is;

x = $1

He bought 20 balls;  20 / x = 20 / 1 = 20

The reduction in the price of each ball increases the number of balls the man can buy at RM 20.

The number of balls he bought is 20 balls.

Reasons:

The given parameters are;

The amount the man bought the golf balls = RM 20

The number of golf balls he could have bought if each ball costs 20 cents less = 5 more balls

Let the number of balls the man bought = x

Let the price of each ball be m

We have;

m × x = 20

(x + 5)·(m - 0.20) = 20

Therefore, we get;

[tex]m = \dfrac{20}{x}[/tex]

Which gives;

[tex]\left(x + 5 \right) \cdot \left(\dfrac{20}{x} - 0.20\right) = 20[/tex]

[tex]-\dfrac{\left(0.2 \cdot x^2- 19 \cdot x - 100\right)}{x} = 20[/tex]

20·x = -0.2·x² + 19·x + 100

0.2·x² + x - 100 = 0

x² + 5·x - 500 = 0

(x + 25)·(x - 20)

x = 20

The number of balls he bought, x = 20 balls

Learn more here:

https://brainly.com/question/6597326

I need help, Please help me.

Answers

Answer:

Yes, SSS

Step-by-step explanation:

Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.

Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?

Answers

1/4 was travelled on Sunday.

Sara ordered 2 slices of pizza and a 12-ounce cola and paid
$3.00. Sydney ordered 3 slices of pizza and 2 12-ounce
colas for $4.75. How much does a slice of pizza cost?

Answers

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Step-by-step explanation:

Let slice of pizza cost x and a 12-ounce cola cost y.

Then Sara's order cost: 2x+y=3

and Sydney's order cost: 3x+2y=4.75

From the first equation we have: y=3-2x and put this to the second equation:

3x+2(3-2x)=4.75

3x+6-4x=4.75

x=1.25

y=3-1.25*2=0.50

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

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