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nignag [31]
3 years ago
5

The width and length of a rectangle are in the ratio of 2 to 3. If both are increased by 3 units, then the ratio is 3 to 4. The

ratio of the areas of the rectangles is __to __.
Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
1 to 2
I think....
width: x, height: y
First clue is 
second clue is \frac{x+3}{y+3}=  \frac{3}{4}

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the length of a rectangle is 2 inches longer than twice its width. If the area of the rectangle is 24 square inches, what are th
gregori [183]

Answer:

The length is 8 inches and the width is 3 inches

Step-by-step explanation:

Let w represent the width.

The length can be represented by 2w + 2

Use the area formula, A = lw, and plug in the area and the expressions for the length and width:

A = lw

24 = (2w + 2)(w)

Simplify and solve for w:

24 = 2w² + 2w

2w² + 2w - 24

Divide everything by 2:

w² + w - 12

Factor:

(w + 4)(w - 3)

Set equal to 0 and solve for each factor:

w + 4 = 0

w = -4

w - 3 = 0

w = 3

Since the width cannot be negative, the width has to be 3.

Next, find the length by plugging in 3 as w:

2w + 2

2(3) + 2

= 8

So, the length is 8 inches and the width is 3 inches

7 0
3 years ago
Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her
laila [671]

Answer:

\frac{1}{10^9} probability the spy is able to unlock the tablet on his first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

1 correct password, so D = 1

Total outcomes:

Nine-digit codes.

For each digit, there are 10 possible outcomes. So

T = 10^9

What is the probability the spy is able to unlock the tablet on his first try?

p = \frac{D}{T} = \frac{1}{10^9}

\frac{1}{10^9} probability the spy is able to unlock the tablet on his first try.

7 0
3 years ago
seabass has a log that is 4 yards long. He cuts the log pieces that are 1/3 yard long. How many pieces will sebass have?
olga2289 [7]
12 pieces


3 pieces = 1 yard

Multiply 4 by 3 because the log is 4 yards long

That will give you 12 total pieces

5 0
3 years ago
During march, a firm expects its total sales to be $151,000, its total variable costs to be $94,100, and its total fixed costs t
soldier1979 [14.2K]

Answer:

$56,900

Step-by-step explanation:

Given that:

Total sales in March = $151,000

Total variable cost = $94,100

The contribution margin for March can be obtained using the relation :

(Total sales - Total variable expenses)

($151,000 - $94,100)

= $56,900

Hence, contribution March for the month of March is $56,900

4 0
2 years ago
Find the measures of the numbered angles in each figure
inessss [21]
1 is 90o
2 is 90 - 27 = 63
3  63 angles 2 and 3 are in an isosceles triangle. They are opposite equal sides so the angles are equal.
6 0
3 years ago
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