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3 years ago

Given that p is an integer, q = -12 and the quotient of p/q is -3, find p

Mathematics

2 answers:

sergejj [24]3 years ago

7 0

I think it’s p=36 because you have to do the opposite on both sides..

So..
q=-12
P/-12=-3
+12 *12
P=36

Musya8 [376]3 years ago

3 0

P/q = -3
p/-12 = -3
(p/-12) * -12 = -3*-12
p = 36

Hope this helped!

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M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.

Marta_Voda [28]

Answer:

$(4,3)$

Step-by-step explanation:

Given

$R = (-2,-3)$

$M = (1,0)$

Required

Determine the coordinates of S

Midpoint is calculated as:

$M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)$

Where:

$(x,y) = (1,0)$

$(x_1,y_1) = (-2,-3)$

Substitute these values in the above formula:

$(1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)$

Multiply through by 2

$2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)$

$(2,0) = (-2 + x_2,-3+y_2)$

By direct comparison:

$2 = -2 + x_2$ and $0 = -3 + y_2$

Solving for x2

$2 = -2 + x_2$

$x_2 = 2 + 2$

$x_2 = 4$

Solving for y2

$0 = -3 + y_2$

$y_2 = 0 + 3$

$y_2 = 3$

Hence, the coordinates of S is: $(4,3)$

5 0

3 years ago

Sarah had three times as many quarters as nickels. She had $3.20 in all. How many quarters did she have?

marin [14]

She have 12 quarters

<h3>what is unitary method?</h3>

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

There are two situation in Unitary method:

There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

If she had 12 quarters, then

12 * .25 = $3 ( quarters)

4 * .05 = $.2 ( in nickels)

Hence, she have 12 quarters.

Learn more about unitary method here:

brainly.com/question/22056199

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5 0

2 years ago

Read 2 more answers

Solve the system by substitution.<br> y = -x<br> y = - 4x + 12