Problem: The length of a rectangle is 3cm more than twice its width. If the perimeter is
60cm, find its length.

Answers

Answer 1

Answer:

16.5cm

Step-by-step explanation:

[tex]perimeter = 2(l + w)\\l = 3 + w\\perimeter = 60\\2(l + w) = 60\\sub (l = 3 + w) for - l\\2((3+w) + w) = 60\\2(3 + w + w) = 60\\2(3 + 2w) = 60\\6 + 4w = 60\\4w = 60 - 6\\4w = 54\\w = \frac{54}{4}\\w = 13.5\\\\substitute- w= 13- into 2(l = 3 + w)\\l = 13.5 + 3\\l = 16.5[/tex]


Related Questions

LLICIOS:
1. José tiene en su bolsillo un grupo de monedas de 5 y 10 centavos, y hay once
monedas más de 5¢ que las de 10€. Si el total es un dólar.
halla la cantidad de monedas de cada tipo.

Answers

Answer:

Hay 14 monedas de 5 centavos y 3 monedas de 10 centavos.

Step-by-step explanation:

Llamemos "c" a las monedas de 5 centavos y "d" a las monedas de 10 centavos.

Hay once  monedas más de 5¢ que las de 10¢. La expresión matemática para ello es:

c = d + 11    [1]

El total es 1 dolar. La expresión matemática para ello es:

0,05c + 0,10d = 1   [2]

Si reemplazamos [1] en [2],

0,05(d + 11) + 0,10d = 1

0,05d + 0,55 + 0,10d = 1

0,15d = 0,45

d = 3

Si reemplazamos d = 3 en 1,

c = d + 11 = 3 + 11 = 14

Please help, solve for x
2/x = 30/-5

Answers

Answer:

-1/3

Step-by-step explanation:

You multiply the -5 by 2

Then divide the result by 30.

A triangle has the vertices of A(2,3), B(-2,2) and C(-3,5). What are the
coordinates of the vertices of the image after the translation (x,y) — (x + 4, y -
3)?

help me

Answers

Answer:

A the answer is super hard

Help please please please

Answers

I think the answer is 4 they use up resources that other organisms need.

Answer:

They often use up other resources native organsinsms need.

Step-by-step explanation:

By doing so they can end up killing native organsinsms.

Según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad, ¿cuál es la probabilidad de que tres de nueve accidentes seleccionados al azar hayan sido ocasionados por conductores ebrios?

Answers

Answer:

La probabilidad es [tex]0.2508[/tex]

Step-by-step explanation:

Sabemos que según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad. Entonces, si definimos el evento

[tex]A[/tex] : ''Accidente provocado por un conductor en estado de ebriedad''

La probabilidad de este evento es

[tex]P(A)=\frac{2}{5}[/tex]     (dato del problema)

Por lo tanto, en cada accidente que ocurre, la probabilidad de que ocurra el evento [tex]A[/tex] es  [tex]\frac{2}{5}[/tex] .

Ahora bien, si suponemos cada uno de estos accidentes independientes y con probabilidad de ocurrencia ''p'' constante a lo largo del tiempo, estamos ante la presencia de un proceso Bernoulli.

Dado un proceso de Bernoulli, definimos la variable aleatoria discreta ''[tex]X[/tex]'' como el número de éxitos del proceso Bernoulli para un número fijo de ensayos.

En este caso vamos a definir

[tex]X[/tex] : ''Número de accidentes provocados por conductores en estado de ebriedad de un total de n accidentes''

Se dice que [tex]X[/tex] tiene distribución binomial de parámetros ''n'' y ''p''.

Lo denotamos [tex]X[/tex] ~ Bi (n,p)

En nuestro ejercicio el valor de ''n'' es 9 (son los ensayos que fijamos) y el valor de ''p'' es [tex]\frac{2}{5}[/tex] (definimos como ''éxito'' que el accidente sea provocado por un conductor en estado de ebriedad).

Ahora bien para calcular probabilidad vamos a utilizar la siguiente fórmula :

[tex]P(X=x)=(nCx)p^{x}(1-p)^{(n-x)}[/tex]    (I)

'' [tex]P(X=x)[/tex] '' es la probabilidad de que la variable aleatoria [tex]X[/tex] asuma el valor x. En particular, buscamos [tex]P(X=3)[/tex] que es la probabilidad de que de nueve accidentes (fijados), tres sean provocados por conductores en estado de ebriedad.

'' [tex](nCx)[/tex] '' es el número combinatorio definido como

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

Reemplazando los datos en la ecuación (I) :

[tex]P(X=3)=(9C3)(\frac{2}{5})^{3}(\frac{3}{5})^{6}=0.2508[/tex]

La probabilidad pedida es [tex]0.2508[/tex]

Calculate the dot product of x = (1, −2, 0, 4) is in double-struck R4 and y = (1, 2, 3, 4) is in double-struck R4.

Answers

Answer:

the dot product is 13

Step-by-step explanation:

The computation of the dot product is shown below:

Given that

x =  (1, −2, 0, 4)

y = (1, 2, 3, 4)

Based on the above information

The dot product is

= (1) (1) + (-2) (2) + (0) (3) + (4) (4)

= 1 - 4 + 0 + 16

= 13

Hence, the dot product is 13

We simply multiplied each of them so that the correct value could come

Solve for k:
K/2 plus 1/2=3

Answers

Answer:v

vvre

Step-by-step explanation:

Answer:

K should be 5

Step-by-step explanation:

1/2 is .5 which leaves k/2 you need 2.5 to make three and 2.5*2 is 5 5/2 is 2.5 plus 5 is 3 therfore k is 5

Hello please help if you can thank you :) I will mark barinlasit

Answers

Answer:

a) -29

b) 16

c) -6

d) 23

e) 12/a

f) x = -5

g) x = -2

h) x = 4

Step-by-step explanation:

I skipped the optional ones

What is the value of x?
98°

Answers

Answer:

x = 139

Step-by-step explanation:

Isosceles triangle.

Let the equal angles = y

y + y + 98 = 180   {Sum of all the angles of triangles}

  2y + 98 = 180

          2y = 180 - 98

          2y = 82

           y = 82/2

          y = 41

x = 41 + 98     { exterior angles equals the sum of interior opposite angles}

x = 139

Lucy has 3795 beads. She has 1145 fewer beads than hazel. About how many beads do Lucy and Hazel have altogether? Estimate by rounding each number to the nearest thousand before adding.

Answers

they have about 5,000 beads.

The speed of the wind is changing according to the function V (t) = -t/2 + 30, where t = time in minutes after 6:00 p.m. and V(t) = wind speed in miles per hour
(mph). Which statement best describes the meaning of the equation V(20) – V(10) = -5?

A) In a period of 5 minutes, the wind speed increased from 10 mph to 20 mph.

B) The wind speed decreased by 5 mph between 6:10 p.m. and 6:20 p.m.

C) The wind speed increased by 5 mph between 6:10 p.m. and 6.20 p.m.

D) In a period of 5 minutes, the wind speed decreased from 20 mph to 10 mph.

Answers

Answer:

C

Step-by-step explanation:

Answer:

The wind speed increased by 5 mph between 6:10 p.m. and 6.20 p.m.

Step-by-step explanation:

I hope this helped!

70
Tommy currently has a cell phone plane for text messaging with Phone-Phriends which charges $0.20 per text message. Tommy is considering switching to
an unlimited plan which costs $49 per month. How many messages each month must Tommy send for it to be cost effective to switch to the unlimited
plan?

Answers

Answer:

49÷0.20= 245

He has to be able to have a number of text each month to be able to switch so 0.20 for each text he sends each month so you have to divide from 49.

how much is one lollipop? 25 lollipops for $46.00?

Answers

Answer: $1.84

Step-by-step explanation: 46 / 25 = 1.84

Answer:

$1.84

Step-by-step explanation:

25 divide by $46.00 = $1.84

which of the folowing numbers would be found to the right of the number -35 on a number line ?

Answers

ok i got corona so i’m said that she was going there buddy i was just a liar liar and he was
The following numbers are -36, -37, -38 and so on.

It takes 4 people 36 minutes to solve 18 problems. How many minutes will it take 6 people to solve 42 problems.

Answers

Answer:

54 I think, but I'm not sure sorry

Step-by-step explanation:

4 ÷ 2 = 2

36 min ÷ 2 = 18 min

2 x 3 = 6 (6 ppl)

18 min x 3 = 54 min

factor -1/2 out of -1/2 x + 6

Answers

Answer:

[tex]-1/2 * (x - 12)[/tex]

Step-by-step explanation:

Divide each term of the expression by -1/2. -1/2x divided by -1/2 = x. 6 / -1/2 = -12.

A city is putting in a sand pit at the park. The length is an even, one-digit whole number, and
the width is 6.7 feet. Which explains the least and greatest possible areas for the sand pit?

Answers

Answer:

Step-by-step explanation:

Answer:

Listen the number is an EVEN one-digit, so that means all odd numbers that are one-digit numbers are out so that means number A is wrong so its between B, C, and D. If you read the answer throughully through B, C, and D you will find one of the 2 x 6.7 is wrong. To find the correct answer to 2 x 6 and if the sum of 2 x 6 is equal to your 2 x 6 you have the correct answer! Btw I forgot the exact answer but I know it was either B or C.      

Step-by-step explanation:

I NEED HELPPP ASAPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!
a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

Answers

No, there are x sets that match the same one in the y set. The red one

Light travels 3 x 10 kilometers in one second. How far does it travel in 7.6 seconds?

Write your answer in scientific notation.

Answers

Answer:

.0076

Step-by-step explanation:

Find the values of x and y.

Answers

Answer: y = 129, x = 51

Step-by-step explanation:

angles 129 and y are corresponding, so they are equal to each other

y and x are supplementary

so, y + x = 180

x = 180 - y = 180 - 129 = 51

Answer:

I belive y has to be at least 133 because it's just a little bit longer than the 229 one.

And x is most likely to be 125 because if you line up 129 with x, x is should be a little smaller so x should be 125

y=-x^3 + 2x2 - 4 at (0, -4)
Find the normal line

Answers

Answer:

True

Step-by-step explanation:

I will assume you want to see if (0, -4) is a point on the line.

y = -x³ + 2x² - 4

~Substitute

-4 = -(0)³ + 2(0)² - 4

~Simplify

-4 = -4

Best of Luck!

I need help please help me out

Answers

Answer:

60 feet a day

Step-by-step explanation:

Answer:

2940

Step-by-step explanation:

convert the week to days. 1 week is 7 days so 420 * 7 = 2940

7.668 divided by 0.009

Answers

Answer:

852

Step-by-step explanation:

Answer:

852

Step-by-step explanation:

7.668 divided by 0.009 start off by making your division equation the way you want to write it and then go one by one on the numbers and start dividing it then you will get the answer: 852

The level of water in a bathtub rises 5 inches in 2 hours. Which of the following represents the rate of change of the water level with respect to the time?
A. 5 inches/ 2 hours
B. 2 inches/5 Hours
C. 5 hours/ 2 inches
D. 2 hours/ 5 inches

Answers

I think the answers is A

Evaluate: 7x + 4y when x=5 and y= -3

Answers

Answer:

23

Step-by-step explanation:

Step 1:

7x + 4y         Equation

Step 2:

7 ( 5 ) + 4 ( - 3 )       Input x and y

Step 3:

35 - 12       Multiply

Answer:

23

Hope This Helps :)

23 all you do is multiply 7 and x which is 35 and multiply 4 and y which is -12 and add 35 and -12 and that would be 23

A company decides to give ID numbers to its employees that consist of one letter followed by three digits. How many different such ID numbers are there?​

Answers

Answer:

25,974 possible ID combinations

Step-by-step explanation:

Since the ID card will consist of one letter and three digits to find the total number of possibilities we simply multiply the number of letter options that exist by the total amount of numbers each letter can be followed by. There are a total of 26 letters in the English Alphabet. Since each letter is followed by only 3 digits, then the largest number that can exist after the letter is 999. Therefore, we simply multiply 26 by 999 to find the total number of possible outcomes.

26 * 999 = 25,974 possible ID combinations

The number of different such ID numbers are there should be 25,974 possible ID combinations

Calculation of the no of different ID numbers:

Since the ID card comprise one letter. Also, there are total of 26 letters in the English Alphabet.

So here we can do that we simply multiply 26 by 999 that comes 25,974.

Therefore, The number of different such ID numbers are there should be 25,974 possible ID combinations

Learn more about number here: https://brainly.com/question/17802211

please complete 7 and 8
giving brainliest

Answers

7 is 1.4 and 8 is 0.000000023

Plz answer the question ASAP

Answers

Answer:

4 units

Step-by-step explanation:

Answer:

4.0 units

Step-by-step explanation:

ax+b=c

Solve for x

Please include work

Answers

Answer:

x=c/a - b/a

Step-by-step explanation:

subtract b

divide by a

Write a word problem for x+2=15
_
5

Answers

Answer:

x = 13 is the answer for your question

13 + 2 = 15

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