If the length and width of a rectangle A are each k times the length and width of rectangle B, which statement is true?A. The area of rectangle A is k^3 times the area of rectangle b

B. the area of rectangle A is k times the area of rectangle B

C. The area of rectangle A is 2k times the area of rectangle B.

D. The area of rectangle A is k^2 times the area of rectangle B.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

"If the length and width of a rectangle A are each k times the length and width of rectangle B" means if rectangle B has L and W then rectangle A is k*L and k*W. So the area would be A = k*L*k*W = k^2 *L*W. D is correct.

Answer 2

Answer:

Answer D

Step-by-step explanation:

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Lennon has a checking account.He withdrew $130 from an ATM Tuesday.Wednesday he deposited $240.Friday he wrote a check for $56.What was the total change in lennons account?

Answers

Answer= Lennons account has 54 more dollars than it did originally

Change= -130+240-56
Change= 54

**Edit
the expression can also be written as such

Change=240-130-56
Change=54

How do I solve this problem(3x-4y)-(6x-28y)

Answers

Answer:

Step-by-step explanation:

Answer:

3x-4y-6x+28y

-3x-6x-4y+28y

-9x+24y

Step-by-step explanation:

Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximum height of 18 feet after 2 seconds. he figured that the ball left his hand at a height of 5 feet. Let the independent variable represent time and the dependant variable represent height of the ball. Use this information to write an equation to model the path of the ball and predict when the ball will hit the ground the ball will hit the ground at approximately ________ seconds

Answers

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: $y=-a(x-h)^2+k$

$y=-a(x-2)^2+18$

Let us find value of a using point (0,5).

$5=-a(0-2)^2+18$

$5=-a*4+18$

$5-18=-a*4+18-18$

$-13=-4a$

$(-13)/(-4)=(-4a)/(-4)$

$(13)/(4)=a$

Therefore, the equation $y=-((13)/(4))(x-2)^2+18$ can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

$0=-((13)/(4))(x-2)^2+18$

$0-18=-((13)/(4))(x-2)^2+18-18$

$0-18=-((13)/(4))(x-2)^2$

$-18*((4)/(13))=-(x-2)^2$

$(72)/(13)=(x-2)^2$

Taking square root of both sides of our equation we will get,

$\sqrt{(72)/(13)}=x-2$

$x-2\pm 2.35339$

$x-2=2.35339\text{ (or) } x-2=2.35339$

$x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2$

$x=4.35339\text{ (or) } x=-0.35339$

$x\approx 4.35\text{ (or) } x\approx -0.35$

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.

Charlotte bought 16 songs for her MP3 player. Three-fourths of the songs are classical songs. How many of the songs are classical songs?

Answers

I think 8 are classical songs

12 songs because if you look at the problem there is the word “of”. The word of means multiply, so if you make 16 into fraction that is 61/1 and multiply that my 34 the word problem is,16/1 x 3/4= 48/4 and 48 over 4 is equal to 12 and that is 12 songs.

When solving an equation using the distributive property that involves distributing fractions, usually the first step is to multiply by the LCD to eliminate the fractions in order to simplify computation. Is it necessary to do this to solve 1/4(5x+6)=1/3(9x-24)? Why or why not?

Answers

It's not necessary, but it makes solving quicker, and more efficient. You'd have to find the LCD at some point, and doing it at the beginning helps you to not encounter as many errors as you would otherwise

Brandon borrowed money from his friend to buy lunch each day this week Monday through Friday he borrowed $2 each day write a multiplication equation with a negative integer that shows how much you borrowed and all

Answers

Multiplication equation can be -2x where x represents number of day.

What is multiplication?

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.

According to the question,

The money borrowed is $2 each day

multiplication equation can be written as the product of 2 and -x variable which will represent the number of days and - will represent the borrowed money. so the multiplication equation can be -2x where x represents number of day.

Therefore, multiplication equation can be 2*(-x) where x represents number of day.

To know more about multiplication click on the link below:

brainly.com/question/24327271

#SPJ2

well since he borrowed 2 dollars everyday for 5 days it would -$2 x 5= -10 HE OWES HIM 10 DOLLARS

ANSWER : -$2x5=-10

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