All categories

3 years ago

The ratio of pens to pencils in the box is 84 to 112. Which statement describes this relationship?

Mathematics

2 answers:

icang [17]3 years ago

6 0

Answer:

Answer is 3:4 because the guy was right its just that he had to simplify more to get 3:4

Step-by-step explanation:

Oksi-84 [34.3K]3 years ago

3 0

Answer:

For every 84 pens there are 112 pencils in the box.

Step-by-step explanation:

We are given the following information in the question.

We are given a ratio of pens to pencil is 84 to 112.

Ratio is a relationship between two numbers that helps us to know how first number is related to the second number.

This can be written as: 84 : 112

This can be read as: For every 84 pens there are 112 pencils in the box.

Simplifying the fraction we have:

$\displaystyle\frac{84}{112} = \frac{21}{28}$

This ration can be written as 21 : 28 which means for every 21 pens in a box there are 28 pencils in the box.

You might be interested in

A 25 kg cart has 125 kg of momentume

evablogger [386]

Answer:

5 kg

Step-by-step explanation:

3 0

3 years ago

A collection of stamps consists of 3c stamps 5c stamps and 7c stamps. There are 6 more 3c stamps than 5c stamps and two more 7c

Deffense [45]

The number of 3¢ stamps that are in the collection is: 22.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to determine the number of 3 cents (3¢) . Therefore, we would translate the word problem into an algebraic expression and then evaluate it as follows:

<u>Note:</u> 100 cents (¢) is equal to 1 dollar ($).

A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194

6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6 ⇒ 5¢ = 3¢ - 6

Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2

Combining the above equations, we have:

3¢ + 3¢ - 6 + 3¢ + 2 = 194

9¢ = 198

¢ = 198/9

¢ = 22.

Read more on expressions here: brainly.com/question/17361494

#SPJ1

<u>Complete Question:</u>

A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?

6 0

1 year ago

In a warehouse, a group of identical robots fills orders. In 10 minutes, 5 robots can fill 20 orders. If 8 robots worked at that

Alexxandr [17]

Answer:

192 orders

Step-by-step explanation:

All robots are working simultaneously, so each robot takes 10 minutes to do their orders. They are all identical, so they take an equal amount of time to do each order, meaning 20 ÷ 5 = 4. Each robot takes 10 minutes to do 4 orders.

If there are eight robots working for 60 minutes, each robot can make six times as many orders, compared to when they were working for 10 minutes. 4 x 6 = 24. There are eight robots, so 24 x 8 = 192 orders.

7 0

3 years ago

Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada

oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

7 0

3 years ago

How to factor y^3 +2y^2 + 2y + 1

cupoosta [38]

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

= -1 + 2 - 2 + 1

= 0

As, P(-1) = 0, (y + 1) is a factor.

Use synthetic division or remainder theorem.

-1 1 2 2 1

1 1 1 0

quotient = y² + y + 1

y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)

4 0

3 years ago