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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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weqwewe [10]

Step-by-step explanation:

To divide fractions, we have to focus on 4 steps, which are:

1: Change to improper fractions

2: Keep the same

3: Change the sign to multiplication

4: Flip the 2nd fraction in the equation

So, step one:

1/3 / 4/5

Step two:

1/3 / 4/5

Step three:

1/3 x 4/5

Step four:

1/3 x 4/5 = (4 / 15)

4/15 is in simplist for.

Therefore, your answer is 4/15.

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4 0
3 years ago
Two numbers have a sum of 18, and 4 times the first number minus the second number is equal to 17. What is the smallest number?
sammy [17]

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7

4 0
3 years ago
Decide whether the equation describes a function <br>y-2x=-4 <br>yes or no ​
natali 33 [55]
Yes because they both give you an x =2 and a y=-4
7 0
2 years ago
Read 2 more answers
Write an equation for each vertical translation of y=f(x) .<br> 2 units up.
Damm [24]

The equation for the vertical translation of y=f(x). 2 units up is y=f(x)+2.

Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of transformations/modifications to change it to the desired function.

A point on the graph of y=f(x) has the shape (x,f(x)).

The points on the graph of y=f(x)+2 are of the form (x,f(x)+2).

So, the graph for y=f(x) +2 is the same as the graph for y=f(x) shifted up by 2 units.

The new equation is:

y=f(x)+2

More problems related to the translation of shapes are given below.

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7 0
11 months ago
D^2=290^2+2030^2<br> How Do i simplify this
mixer [17]

Answer:

Step-by-step explanation:

D²=290²+2030²

=290²+(290×7)²

=290²+290²×7²

=290²(1+7²)

=290²(1+49)

=290²×50

=290²×25×2

=290²×5²×2

D=290×5×√2

D=1450√2

6 0
2 years ago
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