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Sergio039 [100]
3 years ago
14

1. A store manager marked up the price of a $12 clock by 20%. What is the new price of the clock?

Mathematics
1 answer:
Anon25 [30]3 years ago
4 0

Answer:

1) new price of the clock is $14.4

2) Kyra scored 70% marks

3) 43.75% students are not eighth graders

Step-by-step explanation:

1. A store manager marked up the price of a $12 clock by 20%. What is the new price of the clock?

Price of Clock = $12

Mark up = 20%

We need to find new price of clock.

The price of  clock can be found by finding 20% of 12 and then adding that amount in original price.

So, finding 20% of 12

20\% of 12 \\=\frac{20}{100}\times 12\\=2.4

So 20% of 12 is 2.4

Now finding new price:

New Price = Actual Price + Mark up

New Price = 12 + 2.4

New Price = 14.4

So, new price of the clock is $14.4

2. On a math quiz, Kyra answered 7 of 10 questions correctly. Express her quiz score as a percent.

Total questions = 10

Correct answers = 7

We need to express her quiz score as percent

It can be found using formula: Percent Score = \frac{Obtained\:Marks}{Total\:Marks}\times 100\%\\

Putting values and finding percentage

Percentage = \frac{Obtained\:Marks}{Total\:Marks}\times 100\%\\\\Percentage = \frac{7}{10}\times 100\%\\Percentage = 70\%

So, Kyra scored 70% marks

3. 96 students are enrolled in the Dance Program at Castillero. Of those students, 54 are eighth-graders. The remaining students are 6th or 7th graders. What percentage of the students are not eighth graders?

Total Students = 96

Number of eighth-graders students = 54

Remaining students = 96 - 54 = 42

So, 42 students are 6th or 7th graders

We need to find percentage of the students are not eighth graders.

\frac{42}{96}\times 100\%\\=43.75\%

So, 43.75% students are not eighth graders

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Mila has biked 10 miles in 1.5 hours if Mila continues at the same rate,how many miles will she bike in 3 and a 1/2 hours?
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Mike biked 10 miles in 1.5 hours. Mila bikes at the same rate too.

Therefore, she will bike x miles in 3.5 hours

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You cross multiply

1.5x = 10 x 3.5

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I hope this helps

6 0
3 years ago
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is
Volgvan

Answer:

(x,y)=(0,7.333)

Step-by-step explanation:

We are required to:

Maximize p = x + 2y subject to

  • x + 3y ≤ 22
  • 2x + y ≤ 14
  • x ≥ 0, y ≥ 0.

The graph of the lines are plotted and attached below.

From the graph, the vertices of the feasible region are:

  • (0,7.333)
  • (4,6)
  • (0,0)
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At (0,7.333), p=0+2(7.333)=14.666

At (4,6), p=4+2(6)=4+12=16

At (0,0), p=0

At (7,0), p=7+2(0)=7

Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).

At x=0 and y=7.333, the function p is maximized.

7 0
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Answer:

An odd number of factors were negative

Step-by-step explanation:

EXAMPLE: -3 × 4 × 8 × 2 = -192  then -192 ÷ -2 = 96

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