All categories

3 years ago

Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression

Mathematics

1 answer:

Lilit [14]3 years ago

3 0

Answer:

1.02n

Step-by-step explanation:

A simplified version of this expression would be the following

1.02n

This is basically adding the n variables together. We do this by adding a 1 to the number being multiplied to n. This would basically add the 2% on top of what the original pay per hour is. We can prove that these two expressions are the same by substituting n for 10 in both expressions and solving them.

1.02n

1.02 * 10 = 10.2

n + 0.02n

10 + 0.02*10

10 + 0.2 = 10.2

You might be interested in

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

Which of the following situations forms a proportional relationship? Select all that apply.

Schach [20]

Answer: 1st,2nd, and 4th one are correct.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A. Name 3 different angles which could have a reference angle of 20 degrees. How did you arrive at this answer?.

IgorC [24]

Answer:

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .

Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.c. The rays corresponding to supplementary angles intersect the unit circles in points having the same y-coordinate, so the two angles have the same sine (and opposite cosines).

hopefully,

Zara♡

8 0

3 years ago

What is the value of x? Enter your answer in the box. _____ units

krek1111 [17]

Answer:

x=28

Step-by-step explanation:

We can use similar triangles and proportions to solve this problem. Put the side of the small triangle over the same side of the larger triangle.

x 42

---------- = ----------

x+10 42+15

Simplify

x 42

---------- = ----------

x+10 57

Using cross products

57x = 42 (x+10)

Distribute

57x = 42x+420

Subtract 42x from each side

57x-42x = 42x-42x +420

15x = 420

Divide each side by 15

15x/15 = 420/15

x=28

6 0

3 years ago

Read 2 more answers

Please help!!!

Pie

Average speed = $\frac{Total Distance}{Total Time}$

Ishan's Speed uphill = 10mph

Time taken = 18 minutes = 18/60 = 3/10 hours

Now distance = rate × time

Distance traveled by Ishaan up hill = 10 × 3/10 = 3 miles

Now returning back home

Distance = 3 miles

Rate = 30 mph

So time taken = distance/ rate = 3/30= 1/10 hours = 1/10 ×60 = 6 minutes.

Now total distance traveled = 3 + 3 = 6 miles

Total time taken = 18 + 6 = 24 minutes = 24/60 = 2/5 hours

Average speed

= $\frac{6}{0.4}$

= 15 mph

Ishaan's average speed for the entire trip from home to the gift store and back is 15mph

5 0

4 years ago