If one side of a square is increase by 10 units, the area of the rectangle formed is 3 times the area of the square. Find the area of the rectangle.

Answers

Answer 1

Answer:

75 square units

Step-by-step explanation:

(x+10)x=3x^2

x^2+10x=3x^2

10x=2x^2

5x=x^2

x=5

Plugging in 5 into either of the initial equations yields the answer.


Related Questions

Simplify: 3 5 power x 3-2power

Answers

Answer:

3 to the power of 5 is 243 and 3 to the power of 2 is 9 and

243 x 9 is 2187

Step-by-step explanation:

For Sunday's brunch, Alexis is making a recipe that requires 8 cups of milk. She has 3 quarts of milk. Does she have enough for the recipe? Explain using numbers and words. Please make sure to use complete sentences. Please help it’s a test

Answers

Answer:

yes

Step-by-step explanation:

she needs 8 cups and 3 quarts is 12 cups

0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7

Answers

your answer is k=10 the step by step is kn the picture

Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink

Answers

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

points lol 3929292910100100102

can someone complete it all

Answers

Answer:

Here it is

Step-by-step explanation:

#1. 3:4

#2. 3 to 4

#3. 3/4

Rodrigo acelera su bicicleta a razón de 0.9m/s2 bajo la acción de una fuerza de 94N ¿Cuál es la masa de ambos?​

Answers

Answer:

no entiendo español

Step-by-step explanation:

no entiendo español

In which table is y a linear function of x

Answers

Answer:

We conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

Step-by-step explanation:

Here are some of the rules using which we can easily figure out the true nature of a function.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

We have to find a table in which y is a  linear function of x.

Checking the table C

x         -1         0        1         2          3

y         6         8       10        12        14

Here:

There is a  constant change in x.

i.e. 0 - (-1) = 1;  1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1

Also there is a  constant change in y.

i.e. 8 - 6 = 2;  10 - 8 = 2;  12 - 10 = 2;  14 - 12 = 2

Thus, we conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

150 copies will cost $15.00. How many copies can be made for $6.00?

Answers

Answer:

60 copies

Step-by-step explanation:

$15/150 = 0.1 each copy costs 1 cent

$6/$0.1 = 60 copies

Answer:

60 copies

Step-by-step explanation:

After using Unitary Method, We find that one copy costs 0.1 dollar. So divide 6.00 dollars by 0.1 and we find 60

For checking, we can multiply 60 by 0.1 and we get the same answer

Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?

Answers

Given:

The polynomial is

[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]

To find:

The correct statement about the given polynomial.

Solution:

We have,

[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]

On combining like term, we get

[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]

[tex]=-3s^6t^2+6st^9-6t^7[/tex]

Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.

The degree of the polynomial is the highest power of the variable or the product of the variables.

Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.

Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.

Hence the correct option is b.

Which are corresponding angles

Answers

Answer:

oposite to its angle when they are parallel

use the information in the diagram to determine the height of the tree. the diagram is not to scale.

Answers

Answer:

seventy five ft

Step-by-step explanation:

Select the correct answer.
Identify the axis of symmetry of the function graphed below.

A. X=1
B. X=3
C. X=5
D. X=4

Answers

it’s b
x=3
found by the vertex

Answer:

B. ( X = 3 )

Step-by-step explanation:

it's correct edmentum/plato

Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2

Answers

Answer:

[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]

Step-by-step explanation:

Given

[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]

Required

Simplify

[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]

Split fraction

[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]

[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]

[tex]sec\ t = \frac{1}{cos\ t}[/tex]

So, we have:

[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]

[tex]f(t) = 1 - cos\ t * cos\ t[/tex]

[tex]f(t) = 1 - cos^2\ t[/tex]

In trigonometry:

[tex]1 - cos^2\ t = sin^2\ t[/tex]

So, we have:

[tex]f(t) = sin^2\ t[/tex]

Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis

Please help! I don’t understand!

Answers

Move the shape down by one quadrant and flip it so where “U” was at, “W” is in its place and Vice versa

What is the total area? Use 3 for Pi.
answer fast pls!!! <3

Answers

Answer:

total area = 217 m³

Step-by-step explanation:

area of the triangle

= 14 × 10

= 140 m²

area of a semicircle

= 1/2 × 22/7 × 7 × 7

= 77 m²

total area

= 140 + 77

= 217 m³

What is the total surface area of the
triangular prism?
2.8 m
2.8 m
2 m
4 m
4 m

Answers

Answer:

2 m.....that's it

try it

an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression that represents the total cost a Frank's DVDs ​

Answers

10d + 5.50 = x (the total cost)

Your answer
د لمانية
2
w
Is the answer 2?

Answers

Answer:

yes 2 is the answer yes yes yes yes

A club is going to raise money by printing calendars with photos of the community. The cost of printing the calendars is $5.50 per calendar. The photographer also charges a one-time cost of $200 for taking the photos. The club has $1500 to cover the initial costs of the calendar. Create an equation that represents the number of calendars the club can print. Use the variable n for the number of calendars

Answers

Answer:

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

Step-by-step explanation:

Given

The cost of printing one calendars [tex]= 5.5[/tex] dollars

The one time charge of taking photo [tex]= 200[/tex] dollars

The total sum of money with the club [tex]= 1500[/tex] dollars

The total sum of money going into printing of calendars [tex]= 1500 -200 = 1300[/tex] dollars

The total number of calendars that can be printed with remaining [tex]1300[/tex] dollars is equal to

[tex]n = \frac{1300}{5.50}[/tex]

[tex]n = 236[/tex]

What is the present value of the following set of cash flows if the discount rate is 13.8%? (the cash flows occur at the end of each period) (round answer to nearest penny and enter in the following format 12345.67)

Year 0 cash flow = -3200 (a negative cash flow)
Year 1 cash flow = 900
Year 2 cash flow = 1000
Year 3 cash flow = 1500
Year 4 cash flow = 1900

Answers

Answer:

"flow" (and any subsequent words) was ignored because we limit queries to 32 words.

It looks like there aren't many great matches for your search

Tip Try using words

Terry goes to the store to buy a shirt. The original price is $32. The shirt is
marked down 20%. When he gets to the check-out stand, he learns that
everything in the store is another 10% off of the marked down price. Which
dollar amount below is closest to the amount Terry paid for the shirt?

Answers

Answer:

The closest amount paid is $23

Step-by-step explanation:

Given

[tex]Price = \$32[/tex]

[tex]Mark\ down = 20\%[/tex]

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

[tex]P_2 = Price(1 - Mark\ down)[/tex]

Substitute values for Price and Mark down

[tex]P_2 = \$32 * (1 - 20\%)[/tex]

Express percentage as decimal

[tex]P_2 = \$32 * (1 - 0.20)[/tex]

[tex]P_2 = \$32 * (0.80)[/tex]

Remove bracket

[tex]P_2 = \$32 * 0.80[/tex]

[tex]P_2 = \$25.6[/tex]

The payable amount is 10% off the marked down price,

This is calculated as:

[tex]Amount = P_2 - P_2 * 10\%[/tex]

Substitute $25.6 for P2

[tex]Amount = \$25.6 - \$25.6* 10\%[/tex]

Express percentage as decimal

[tex]Amount = \$25.6 - \$25.6* 0.10[/tex]

[tex]Amount = \$25.6 - \$2.56[/tex]

[tex]Amount = \$23.04[/tex]

The closest amount paid is $23

On Sunday, Antonio spent total of 3/1/4 hours driving and 1/3/4 hours gardening. How much longer did he spend driving write your answer as a mixed number.

Answers

Answer:

poopjdjdjdjdndiddnr ddjdididndndnddndndjx

Step-by-step explanation:

poop kdfkdkddkejdfjdidjs didneidndzusnxixdn

1 1/2 hours

Time spent by Antonio in driving = 3 1/4 = 13/4

Time spent in gardening = 1 3/4 = 7/4

In order to find how much he spend driving than gardening, we can subtract 13/4 and 7/4.

13/4 - 7/4

Te denominator is same. So, we can directly subtract the numerators.

13-7/4

=6/4

= 3/2 = 1 1/2

Therefore, Antonio spent 1 1/2 hours more in driving than gardening.

Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. What is a linear equation that can represent the cost of buying x amount of flowers and includes the one time delivery charge? ( Y = mx + b )

Answers

Answer:

y=2x+3

Step-by-step explanation:

the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.

what is the missing angle

Answers

Answer:

x=59deg

Step-by-step explanation:

We will use tangent to find the angle because we do not know the length of the hypotenuse.

Tan(x)=opp/adj

Tan(x)=30/18

Tan(x)~59

So the last option is correct. 59deg

The measure of Angle D is
degrees.
O=41 degrees

Answers

Answer:

49°

Step-by-step explanation:

O=41° and G=90° (because it is a right angle).  The sum of the interior angles of a triangle is 180°.  So, add the known angles, 41°+90°=131°.  Since the sum of all three angles needs to be 180°, subtract the known angles from the total, 180°-131°=49°, to find the unknown angle.  

The angle D in triangle OGD measures 49 degrees.

To find the measure of angle D in triangle OGD, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given that angle O is 41 degrees and angle G is 90 degrees, we can substitute these values into the equation:

Angle O + Angle G + Angle D = 180

41 + 90 + Angle D = 180

131 + Angle D = 180

Now, we can solve for angle D by subtracting 131 from both sides:

Angle D = 180 - 131

Angle D = 49

Therefore, angle D in triangle OGD measures 49 degrees.

To know more about triangle:

https://brainly.com/question/2773823


#SPJ6

a cube has a lateral surface area of 64sq m find the total surface area of the cube

Answers

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

A x 6 = X

64 x 6 = X

384 = X

Thus, the area of the cube is 384 square meters.

Anyone know the answer?

Answers

It’s the one with the yellow

Definition: This is the rate of distance traveled per unit of time, without regard to direction.
Example: 55 miles per hour on the highway
es )
Term: Type term here

Answers

Answer:

A graphic representation of velocity. Also used to represent speed. This is the rate of distance traveled per unit of time, without regard to direction. ... The slope of the line tells us the rate of change in velocity.

Step-by-step explanation:

The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?

a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P

Answers

Answer:

c. dP/dt = (1/5)P

Step-by-step explanation:

Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have

dP/dt ∝ P

dP/dt = kP

Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,

2 = k × 10

k = 2/10

k = 1/5

So, dP/dt = kP

dP/dt = (1/5)P

The option C is correct

Differentiation

The rate of change of a function with respect to the given variable.

How to get the option?

The rate of change of population with respect to time is directly proportional to the population P. We have

[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]

[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So

[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]

Then

[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]

Thus, option C is correct.

More about the Differentiation link is given below.

https://brainly.com/question/24062595

A gallon of gas last summer was $2.28. This week, a gallon costs $3.48.
What is the percent change?

Answers

Answer:

52.63%

Step-by-step explanation:

The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)

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