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3 years ago

Evaluate the expression when p = -24 and q = 4.

Mathematics

2 answers:

kherson [118]3 years ago

7 0

Answer:

-2

Step-by-step explanation

$\frac{-24}{3*4}$

3*4 is 12 so now we are left with

$\frac{-24}{12}$

$\frac{-24}{12} = - 2$

ryzh [129]3 years ago

6 0

Let p be -24 and q be 4.

p/3q = -24/3(4) = -24/12 = -2

Answer: -2

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2 years ago

The sum of two rational numbers of 63, and their difference is 12? What are the numbers?

VladimirAG [237]

Answer:

The two numbers are 37.5 and 25.5

Step-by-step explanation:

Comment

Let the two numbers be x and y

Equations

x + y = 63

x - y = 12

Solution

Add the two equations. The ys cancel out.

2x = 75 Divide by 2

2x/2 = 75/3 Do the division

x = 37.5

Now use one of the given equations to solve for y

x + y = 63

x = 37.5

37.5 + y = 63 Subtract 37.5 from both sides

37.5-37.5+y= 63 - 37.5 Collect the like terms on both sides

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Check

x - y =? 12

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3 0

4 years ago

Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,

xeze [42]

Answer:

D. $x-\frac{5}{2}y = \frac{25}{2}$

Step-by-step explanation:

Given

$y = \frac{2}{5}x - 5$

Required

Determine its equivalent

<em>From the list of given options, the correct answer is</em>

$x - \frac{5}{2}y = \frac{25}{2}$

This is shown as follows;

$y = \frac{2}{5}x - 5$

Multiply both sides by $\frac{5}{2}$

$\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)$

Open Bracket

$\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5$

$\frac{5}{2}y = x - \frac{25}{2}$

Subtract x from both sides

$\frac{5}{2}y - x = x -x - \frac{25}{2}$

$\frac{5}{2}y - x = - \frac{25}{2}$

Multiply both sides by -1

$-1 * \frac{5}{2}y - x * -1 = - \frac{25}{2} * -1$

$-\frac{5}{2}y + x = \frac{25}{2}$

Reorder

$x-\frac{5}{2}y = \frac{25}{2}$

<em>Hence, the correct option is D</em>

$x-\frac{5}{2}y = \frac{25}{2}$

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