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Leona [35]
2 years ago
9

A shoe store has a pair of shoes that originally cost eighty dollars. Match the expression to find each markup or discount by dr

agging the expressions to the markup or discount.

Mathematics
1 answer:
irina1246 [14]2 years ago
3 0

Step-by-step explanation:

always remember some basic principles when dealing with percentages :

100% is the whole

1% = 100%/100

n% = n×1% = n×100%/100

therefore, n% of an amount m is n/100 × m.

like 25% = 25/100 × m = 0.25 × m

so, now it should be very easy :

the 25% discount of $80 is

0.25×80

the amount deducted by (= after) the discount is

80 - 0.25×80

which is actually 0.75×80

a markup is added into the total cost incurred by the producer of a good or service in order to cover the costs of doing business and create a profit. so, a markup of 40% is simply again

0.40×80

and the sale price including (= after) the markup is then

80 + 0.40×80

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The bending of a bean varies directly as its mas. A beam is bent 20mm by a mass 0f 40kg. how much will the beam bend with a mass
Naddik [55]

Answer:

The beam will bend by 50 mm with a mass of 100kg?

Step-by-step explanation:

The first step in solving the problem of direct variation is setting up the relation mathematically.

We can do this as follows:

The bending of the beam varies directly as its mass.

20  \alpha  40kg

\alpha here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k

20 = k \times 40

k = 20 /40 = 0.5

We can now use this to find the distance the beam will bend with a mass of 100kg?

This will be

Bending = 0.5 \times 100 =50mm

There fore, the beam will bend by 50 mm with a mass of 100kg?

6 0
4 years ago
Read 2 more answers
Determine whether the events are independent (I) or dependent (D). Place your answer in the blank provided. 1. Ramiro draws a ma
Stels [109]

Answer:

Independent events

Step-by-step explanation:

Given that:

Ramiro draws a marble from a jar without replacement and then flips a coin

Let E_1 be the event that Ramiro draws a marble without replacement and;

Let E_2 be the event of flipping a coin.

Let's have an analogy so that we can better understand the concept of independent and dependent events.

Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.

The event E_1  does not in any way affect the event E_2  of a head or a tail showing up in  a flip of a coin.

Therefore, we say that E_1  and E_2   are independent events.

Suppose the event  E_1  affects or influence the event E_2  , then we can say they are dependent events.

4 0
4 years ago
Three landmarks of baseballachievement are Ty Cobb’s batting average of 0.420 in 1911,Ted Williams’s 0.406 in 1941, and George B
harina [27]

Answer:

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

Step-by-step explanation:

Given the data:

Decade : 1910 __ 1940 ____ 1970

Mean, μ: 0.266 __0.267 ___ 0.261

S/dev, σ : 0.0371 _ 0.0326 __ 0.0317

To compute the standard unit for batting averages, we obtain the standardized score for each of Cobb,Williams, and Brett.

Standardized score (Zscore) : (x - μ) / σ

Cobb, x = 0.420

Ted Williams, x = 0.406

George Brett, x = 0.390

COBB:

Zscore = (0.420 - 0.266) / 0.0371 = 4.1509

Ted Williams :

Zscore = (0.406 - 0.267) / 0.0326 = 4.2638

George, Brett = (0.390 - 0.261) / 0.0317 = 4.0694

Ted Williams has the highest standardized score, hence Williams is the best of the three

Cobb is the second highest and hence, the better player

George Brett is third

6 0
3 years ago
Each weekday Davina rides her bike from her house to school. After school, she rides to the library. Then Davina takes the same
marin [14]

Answer:

I believe the answer is 20

Step-by-step explanation:

She rides from her house to school which is 4 kilometers. Then she rides from school to the library which is 6 kilometers. The total so far is 10 kilometers.The question then says she takes the same route home so you would multiple 10 by 2 so the answer should be 20 kilometers

3 0
3 years ago
Read 2 more answers
Divide. −4 1/3 ÷ −2 3/5 A. 1 2/3 B. 1 4/5 C. 2 1/5 D. 2 3/5
Inga [223]

a. 1 \frac{2}{3}

trust me it's the correct answer :)

7 0
3 years ago
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