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GREYUIT [131]
3 years ago
13

How many solutions exist for the given equation?

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

infinitely many

Step-by-step explanation:

Given

12x + 1 = 3(4x + 1) - 2 ← distribute parenthesis and simplify

12x + 1 = 12x + 3 - 2, that is

12x + 1 = 12x + 1

The expressions on both sides are equal.

This indicates that any value of x makes the equation true.

Thus there are infinitely many solutions

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Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice
ycow [4]

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

  • We are required to select all the ratios that have the same constant of proportionality as Ada's observation.

let y and x represent amount of juice and oranges respectively;

  • y = juices squeezed out

  • x = Oranges squeezed in

  • y = k × x

  • 5 = k × 3

  • 5 = 3k

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

Read more:

brainly.com/question/18611326

5 0
3 years ago
The numbers of calories per serving for various snakes foods are listed below.
Elanso [62]

Answer:

B. 108 calories

Step-by-step explanation:

The mean number of a data set is

\text{Mean}=\dfrac{\text{The sum of all calories in products}}{\text{The number of products}}

Corn chips: 230 calories

Popcorn: 25 calories

Potato chips: 115 calories

Pretzels: 62 calories

Thus,

The sum of all calories =230+25+115+62=432

The number of productrs = 4

The mean number of calories =\dfrac{432}{4}=108

3 0
4 years ago
The selling price for a classic speedboat is $12,000. what was the speedboats original price if it is currently selling for $2,0
dangina [55]

Answer:

$7,000

Step-by-step explanation:

Let x equal the original price.

12,000+2000=2x

Combine like terms.

14,000=2x

Divide by the coefficient of x, which in this case is 2.

7,000=x

If you like the variable on the left, rewrite:

x=7,000

4 0
4 years ago
State the correct polar coordinate for the graph shown. It is not the option selected.
vivado [14]

Answer:

Solution : Option D

Step-by-step explanation:

Let's start by listing two cases made possible when r is positive, in ( r, θ ). Remember that in polar coordinates a point is expressed in an ordered pair, where r is the distance from the pole (in this case 9, as it lies on the 9th circle) and theta is the directed angle from the positive x - axis.

( 9, θ ) here theta will be the angle to the terminal side with respect to the positive x - axis. This angle will be 60 degrees more than 90, or 90 + 60 = 150 degrees

( 9, θ ) and here theta will be the remaining degrees, or 360 - 150 = 210 degrees. Right away your solution will be (9, 210°)

7 0
4 years ago
1
antoniya [11.8K]

Answer:

4/5

Step-by-step explanation:

1, 2 , 3 and 4 are factors of 12

so 4 out of 5

4/5 is the probability of getting factor of 12

3 0
3 years ago
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