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3 years ago

13

The selling price, s, of an item is s = c + mc, where c is the cost of the item and m is the percent markup based on cost. What

is the formula solved for m?

2 answers:

levacccp [35]3 years ago

7 0

S=c+mc
s-c=mc
(s-c)/c=m
m=(s-c)/c

Sladkaya [172]3 years ago

4 0

Answer:

$m=\frac{s-c}{c}$

Step-by-step explanation:

The given expression is

$s=c+mc$

Now, to find the expression for $m$ , we just have to isolate it. First, we have to move the term $c$ to the other side of the equation, and then to move the coefficient $c$ , which is gonna pass to the other side dividing.

$s=c+mc\\s-c=mc\\\frac{s-c}{c}=m\\m=\frac{s-c}{c}$

Therefore, the percent markup is defined as the difference between the selling price and cost, divided by that cost.

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Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

3 years ago

What does -8+(-12) / (-4) equal too?

zalisa [80]

Answer:

5

Step-by-step explanation:

1. Add -8 to -12. This equals -20.

2. Now you have -20/(-4)

3. Solve this by dividing -20 and -4.

4. Two negatives make a positive, so your answer would be 5.

Hope this helps

5 0

3 years ago

Read 2 more answers

Which of the triangles shown are scalene triangles?

sergij07 [2.7K]

The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

<h3>What is a Scalene Triangle?</h3>

A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.

This means that any two sides or two angles of a scalene triangle must not be equal.

Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

Learn more about scalene triangle on:

brainly.com/question/16589630

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2 years ago

3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3

ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

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$(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right$

$\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right$

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3 years ago

For how many minutes did Lynn run at a greater speed than Kael? 12 17 23 28.

Archy [21]

Answer:

<u><em>28 minutes.</em></u>

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

Therefore, Lynn ran at a greater speed than Kael for <u><em>28 minutes.</em></u>

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2 years ago