The length of a rectangle exceeds its breadth by 9cm.Find the area of rectangle.

Type the correct answer in each box. Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 1

steposvetlana [31]

Let A be the number of cards Alan has

B be the number of cards Bill has

C be the number of cards Calvin has

Alan had 11 less than 2 1/2 times the number of cards bill has.

is 2.5

Alan is 2.5 of bill has minus 11

A=2.5B -11

Calvin has 1 more than 1 1/2 times the number of cards bill has.

is 1.5

Calvin is 1.5 of bill has plus 1

C=1.5B + 1

Alan and Calvin have the same number of cards

So A=C

WE plug in A and C equations and solve for B

2.5B -11 = 1.5B + 1 (subtract 1.5B on both sides)

1B -11 = 1 (Add 11 on both sides)

B = 12

If Alan and Calvin have the same number of cards, the number bill has is 12

The number of cards Alan and Calvin each have is 19

Total cards = 12 + 19 + 19 = 50

If Alan, bill, and Calvin have all the cards in the deck then the deck has 50 cards

6 0

3 years ago

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Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.

ladessa [460]

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

$\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)$

$\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)$

On comparing both sides, we get

$\dfrac{1+a}{2}=\dfrac{3}{2}$

$1+a=3$

$a=3-1$

$a=2$

Similarly,

$\dfrac{2+b}{2}=\dfrac{2}{2}$

$2+b=2$

$b=2-2$

$b=0$

And,

$\dfrac{1+c}{2}=\dfrac{-1}{2}$

$1+c=-1$

$c=-1-1$

$c=-2$

Hence, the coordinates of vertex S are (2,0,-2).

4 0

3 years ago

12x - 3x + 11 3 4x - (17 - 9x)

KengaRu [80]

sorry it won't let me show step by step but your answer is 150x-17

8 0

3 years ago

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Please hurry!! Select all that apply.<br> To write a percent as a decimal..

igomit [66]

Answer:

<h2>Divide by 100</h2><h2>and</h2><h2>Move the decimal point two places to the left</h2>

Step-by-step explanation:

__________________________________________________________

According to <em>Calculator Soup,</em>

<em>Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal. The shortcut way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point 2 places to the left. Express 50% as a decimal. "Percent" means "per 100" or "over 100".</em>

<em>The answers are Divide by 100 and Move the decimal point two places to the left.</em>

<em>Hope this helps! <3</em>

5 0

3 years ago

Matthew drank 0.375 liters of milk. Write how much milk Matt drank as a fraction. liters

olganol [36]

Hello!

375/1000 = 0.375 as a fraction

This can be simplified to 3/8

The answer is 3/8

Hope this helps!

3 0

3 years ago

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