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1 year ago

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The width of a rectangle is 3 units less than the length. the area of the rectangle is 10 units. what is the length, in units, o

f the rectangle?

1 answer:

Genrish500 [490]1 year ago

6 0

Answer:

Length = 5

Step-by-step explanation:

width = 2

length =5

because 5 x 2 is 10. area is length times width

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Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuánt

Nataly [62]

Answer:

The age of brothers are 4 years and 2 years respectively.

Step-by-step explanation:

We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.

Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.

So, according to the question;

The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;

$\frac{x}{y} =\frac{2}{1}$

$x=2y$ -------------- [equation 1]

The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;

$\frac{x+4}{y+4}=\frac{8}{6}$

$6({x+4})=8}(y+4)$

$6x+24=8y+32$

$6(2y)+24=8y+32$

$12y-8y=32-24$

$4y=8$

$y=\frac{8}{4}$ = 2 years

Putting the value of y in equation 1 we get;

x = 2y

x = $2 \times 2$ = 4 years

Hence, the age of brothers are 4 years and 2 years respectively.

3 0

3 years ago

What is 1.35 as a fraction

IgorC [24]

It is 1 $\frac{7}{20}$ or as an improper fraction it would be $\frac{27}{20}$

7 0

2 years ago

Read 2 more answers

Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?

snow_lady [41]

For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$ .

<h3>What is number series?</h3>

When the numbers are arranged in a series with some logic then it is called as the number series.

here we have a series:

$\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............$

The sum of the series will be given as:

$S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)$

$S_n=3 (\dfrac{1}{2})^n$

Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$

To know more about number series follow

brainly.com/question/6561461

#SPJ1

5 0

2 years ago

To win the carnival game Ring Ding, you must toss a wooden ring onto a grid of rectangles so that it lands without touching any

guapka [62]

Answer:

5in x 10in

Step-by-step explanation:

Solution:

1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.

2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

L = (x - 2(1.5)) = x - 3

w = (2x - 2(1.5)) = 2x-3.

3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%

(2x-3)*(x-3)/(2x^2) = .28

2x^2 - 9x + 9 = .56x^2

1.44x^2 - 9x + 9 = 0

4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.

5. As a result, the dimensions of the rectangles are 5in x 10in.

6 0

3 years ago

Dennis_Churaev [7]

Answer:

what type of question is this???

8 0

3 years ago