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2 years ago

A student writes "the quotient of 5 and x" to describe the algebraic expression -

Mathematics

1 answer:

pashok25 [27]2 years ago

5 0

For this case we have to:

$\frac {a} {b} = c$

Where:

a: It's the Dividend

b: It is the Divider

c: Is the Quotient

Thus, the expression "the quotient of 5 and x" can be represented as:

$\frac {5} {x} = y$

Where "y" is the quotient of 5 and x.

ANswer:

$\frac {5} {x} = y$

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If two angles and an included side of one triangle are equal in measure to the corresponding angles and side of another triangle

ryzh [129]

Answer:

true

Step-by-step explanation:

4 0

2 years ago

Solve the equation. Check for extraneous solutions. |x - 4| = 5x + 12<br><br> x = []

kykrilka [37]

The solution of the equation is x = -4/3.

<h3>What does it mean to solve an equation?</h3>

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have been given an equation as;

|x - 4| = 5x + 12

In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.

Case 1: original equation

|x - 4| = 5x + 12

x - 4 = 5x + 12

x - 5x = 12 + 4

-4x = 16

x = -4

Case 2: Opposite equation

|x - 4| = 5x + 12

x - 4 = - (5x + 12)

x - 4 = - 5x - 12

x + 5x = -12 + 4

6x = -8

x = -4/3

Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;

Check:

|x - 4| = 5x + 12

use x = -4

|-4 - 4| = 5(-4) + 12

| -8 | = -20 + 12

8 = -8

Thus, it is Not a solution

Now, |x - 4| = 5x + 12

use x = -4/3

| -4/3 - 4| = 5( -4/3) + 12

|-16/3 | = -20/3 + 12

|-16/3 | = 16/3

16/3 = 16/3

Thus, it is the Solution.

Learn more about solving equations here:

brainly.com/question/18015090

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5 0

1 year ago

Gina measured the amount of water her friends drink each day in gallons. The line plot shows the measurements.

vova2212 [387]

Line plots are used to represent data using lines and dots

The difference between the greatest amount of water and the least is 1/2

From the line plot (see attachment), we have the following parameters:

$Least = 8\frac 28$

$Greatest = 8\frac 68$

<h3>Calculating the difference</h3>

The difference (d) is then calculated as:

$d =Greatest -Least$

So, we have:

$d =8\frac 68 -8\frac 28$

Subtract the common terms (8)

$d =\frac 68 -\frac 28$

Take LCM

$d =\frac {6-2}8$

$d =\frac {4}8$

Reduce the fraction

$d =\frac {1}2$

Hence, the difference between the greatest amount of water and the least is 1/2