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xz_007 [3.2K]
2 years ago
8

Anthony currently earns $11.75 per hour. • He will get a $0.25 raise after 6 months. • He will get a 2.5% raise after an additio

nal 6 months. After Anthony gets both raises, what will his pay be for 38 hours of work?​
Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0

Answer:

You need to give more information that that...

Step-by-step explanation:

You might be interested in
A basketball player makes 90% of her free throws. what is the probability she will miss for the first time on the seventh shot?
Kobotan [32]
52.17% is the probability she will miss for the first time.
4 0
3 years ago
A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be s
yuradex [85]

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2}  = \frac{1 \pm 9 }{-0.4}

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

3 0
2 years ago
A picture frame can hold a Photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the fra
TEA [102]

Answer:

16x12=192

Step-by-step explanation:

Two times sixteen equals thirty two, ten times sixteen equals one hundred sixty, thirty two plus one hundred sixty equals one hundred ninety two

8 0
2 years ago
The graph below shows a proportional relationship between x and y. What is the constant of proportionality,
yarga [219]

Answer:

0.5

Step-by-step explanation:

you just need see at one point. i see at point (1, 0.5)

3 0
3 years ago
In a police chase on the interstate, the suspect’s car reached a speed of 88 miles per hour for a total 15 minutes. In that time
Klio2033 [76]

Answer:

22 miles

Step-by-step explanation:

time must be in hours, hence

15 minutes = \frac{15}{60} = \frac{1}{4} hour

distance = 88 × \frac{1}{4} = \frac{88}{4} = 22 miles


8 0
3 years ago
Read 2 more answers
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