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Kay [80]
3 years ago
9

The price of a shirt was $38. It was reduced by 20% and then again by 10%.

Mathematics
2 answers:
Arturiano [62]3 years ago
4 0
A) 38*(1-20%)*(1-10%)=27.36
b)38*(1-30%)=26.6
c)Because in question one when you take off the 10% it is 10% of the already off price but when you take off 30% it is taking off from the original price
Ahat [919]3 years ago
4 0

Answer:

A- The final price of the shirt was $27.36.

B- If it were reduced by 30% from the original price, the price of the shirt would be $26.6.

C- There is a difference between both prices because in the first case, the discount is split, making a first discount on a larger basis, and the second on a smaller basis, already made the first discount.

In contrast, at the second price, the entire percentage is made on the major basis. Therefore, the discount is larger.

Step-by-step explanation:

A- The final price of the shirt is determined by the following calculation:

(38 x 0.8) x 0.9 = FINAL PRICE

38 is multiplied by 0.8 because the price was reduced by 20% (0.2 is the 20% of 1, that is, of a unit. Therefore, the remaining price would be that 0.8 or 80%)

Then, using the same logic, we have to multiply that result by 0.9 in order to get the final price.

Therefore:

(38 x 0.8) x 0.9 = 30.4 x 0.9 = 27.36

B- Here, we would have to multiply 38 x 0.7, which gives a result of 26.6

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117 degrees

Step-by-step explanation:

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3 years ago
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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
Viktor [21]

Answer:

There are approximately 171 families in the sample.

Step-by-step explanation:

Percentile meaning:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.

This means that 24 is 14% of the total number of families.

Approximately how many families are in the sample?

Using a rule of three.

24 - 0.14

x - 1

0.14x = 24

x = 24/0.14

x = 171.4

Rounding to the nearest integer

There are approximately 171 families in the sample.

5 0
3 years ago
Find the angle between the given vectors to the nearest tenth of a degree. u = , v = (2 points)
Liono4ka [1.6K]

Answer:

<h2>3.6°</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

u*v = |u||v| cos \theta

\theta is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

u*v = 8(9) + 7(7)

u*v = 72+49

u*v = 121

|u| = √8²+7²

|u| = √64+49

|u| = √113

|v| = √9²+7²

|v| = √81+49

|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

5 0
3 years ago
A+3 1/4+5 2/9 what is the value of a, explain how you got the answer
larisa86 [58]

Answer:

a+305/36

Step-by-step explanation:

Convert

3

1

4

3

1

4

to an improper fraction.

a

+

13

4

+

5

2

9

a

+

13

4

+

5

2

9

Convert

5

2

9

5

2

9

to an improper fraction.

a

+

13

4

+

47

9

a

+

13

4

+

47

9

To write

13

4

13

4

as a fraction with a common denominator, multiply by

9

9

9

9

.

a

+

13

4

⋅

9

9

+

47

9

a

+

13

4

⋅

9

9

+

47

9

To write

47

9

47

9

as a fraction with a common denominator, multiply by

4

4

4

4

.

a

+

13

4

⋅

9

9

+

47

9

⋅

4

4

a

+

13

4

⋅

9

9

+

47

9

⋅

4

4

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1

1

.

a

+

13

⋅

9

36

+

47

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4

36

a

+

13

⋅

9

36

+

47

⋅

4

36

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+

13

⋅

9

+

47

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a

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3 0
3 years ago
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12-2(n-1)=-18<br><br> aa help plzz
Luda [366]

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

12−2(n−1)=−18

Step 1: Simplify both sides of the equation.

12−2(n−1)=−18

12+(−2)(n)+(−2)(−1)=−18(Distribute)

12+−2n+2=−18

(−2n)+(12+2)=−18(Combine Like Terms)

−2n+14=−18

−2n+14=−18

Step 2: Subtract 14 from both sides.

−2n+14−14=−18−14

−2n=−32

Step 3: Divide both sides by -2.

−2n /−2  =  −32 /−2

n=16

8 0
3 years ago
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