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3 years ago

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When pascal built a dog house, he knew he wanted the floor of the house to have an area of 24 square feet. He also wanted the wi

dth to be 2/3 the length. What are the dimensions of the dog house?

1 answer:

castortr0y [4]3 years ago

5 0

The length would be 6 and the width would be 4 to get 24 as the area.

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Aiden wrote a riddle: Five less than 1/5 times a number is the same as the sume of the number and 1/3. Find the number.

Brrunno [24]

The number is -6.67

<em><u>Solution:</u></em>

Let "n" be the number

From given,

$\text{ Five less than 1/5 times a number } = \frac{1}{5}n - 5 = \frac{5}{n} - 5$

$\text{Sum of number and 1/3 } = n + \frac{1}{3} =\frac{3n+1}{3}$

Given that,

Five less than 1/5 times a number is the same as the sum of the number and 1/3

Therefore, we get,

$\frac{n}{5} - 5 = n + \frac{1}{3}\\\\Simplify\ the\ expression\\\\n - 25 = 5(n + \frac{1}{3})\\\\n - 25 = 5n + \frac{5}{3}\\\\n - 25 = \frac{15n + 5}{3}\\\\3n - 75 = 15n + 5\\\\12n = -80\\\\n = -6.67$

Thus the number is -6.67

7 0

3 years ago

the length of a rectangle is 3 feet more than twice the width. if the width is increased by four feet the perimeter of the new r

densk [106]

Answer:

The area of the original rectangle = 189 sq ft.

Step-by-step explanation:

Let, the width of the rectangle = m feet

So, the length of the rectangle = (2 m + 3) ft

Now, new width w' = (m + 4)

Perimeter of new rectangle (P') = 68 ft

Perimeter of a rectangle = 2 (LENGTH + WIDTH)

⇒68 ft = 2( L + W')

or, 68 ft = 2 [( 2m + 3) + (m + 4)]

or, 2 (3m + 7) = 68

or, 3m + 7 = 68/2 = 34

⇒ 3m = 34 - 7 = 27

⇒ m = 27/3 = 9

or, m = 9 ft

Hence, the original width of the rectangle = 9 ft

Original Length of the rectangle = 2m + 3 = 2(9) + 3 = 21 ft

Now, Area of the Rectangle = LENGTH X WIDTH

= 21 ft x 9 ft = 189 sq ft

Hence,the area of the original rectangle = 189 sq ft.

5 0

3 years ago

You roll a number cube twice. Find the probability of the event. Rolling a 1 then a 2.

kap26 [50]

P( 1) = 1/6
P(2) = 1/6

Probability of 1 then 2 = 1/6 * 1/6 = 1/36

7 0

3 years ago

Solve by substitution or elimination 5x+3y=-15 -8x-2y=10

Cerrena [4.2K]

Answer:

x=0, y=-5

Step-by-step explanation:

The system is

(1) 5x+3y=-15

(2) -8x-2y=10

Let's solve it by elimination. In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated

Multiply (1) by 2 and (2) by 3

(1) 10x+6y=-30

(2) -24x-6y=30

Add the two equations

10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0

Now replace this value in any equation, for example in (1)

6y=-30 ----> y=-30/6----> y=-5

5 0

3 years ago

Read 2 more answers

the current temperature in small town - 20 degrees Fahrenheit this is 6 degrees less than twice the temperature that was six hou

Vlad [161]

For problems like this we can use algebra to help us, the farenheight 6 hours ago was:
(2xt)-6=-20
We have to balance the sides out, first we minus 6
2xt=-26
Now we can divide by 2
t=-13

We now know the temperature 6 hours ago was -13

6 0

2 years ago