A)

Total mass vs. numbers of cd and numbers of cd

Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

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Explanation:

For now, I'll treat n as x, and M as y.

In other words,

x = number of CDs
y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

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Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

7 0

3 years ago

3. An exclusive clothing boutique triples the price of the items it purchases

Juli2301 [7.4K]

Answer:

a) MARKUP PERCENT = 200%

b) If the cost price of clothing A = $10

then its retail price = $30

If the cost price of clothing B = $25

then its retail price = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now, boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value = 3 a

a) MARK UP Percentage = $(\frac{\textrm{SP - CP}}{CP}) \times 100$

$\implies \% = (\frac{3a-a}{a} ) \times 100 = 200 \%$

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

If the cost price of clothing A = $10

then its retail price = 200% of 10 + 10 = 20 + 10 = $30

If the cost price of clothing B = $25

then its retail price = 200% of 25 + 25 = 50 + 25 = $75

7 0

3 years ago

Please help me out!!!

professor190 [17]

Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

a and b = parallel sides of the trapezoid
h = height of the trapezoid

Solving :

A = 1/2 x (38 + 14) x 16
A = 8 x 52
A = 416 square centimeters

3 0

2 years ago

Read 2 more answers

What is AB in the figure?

blsea [12.9K]

Answer

B is the answers

Step-by-step explanation:

5 0

3 years ago

Maria and jane bought a whole pizza pie. marie ate 1/5 of the pie and jane ate 1/4 of the pie. write a number sentence to find o

Papessa [141]

Eleven Twentieths of the pie are left, so that's 11/20

Method to solve;
Since its given a 1/4 and a 1/5 it's easiest to convert these to twentieths (the lowest common multiple of 4 and 5)
So 1/4= 5/20
1/5 = 4/20
How much is eaten = 5/20 + 4/20 = 9/20
How much remains = Total (20/20) - How much eaten (9/20) = 11/20

8 0

3 years ago