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fredd [130]
3 years ago
12

the amount of a persons paycheck p varies directly with the numbers of hours worked t. for 16 hours of work, the paycheck is $12

4.00 write a equation for the relationship between hours of work and pay
Mathematics
2 answers:
nekit [7.7K]3 years ago
8 0
Given: 

Let t = number of hours worked
Let p = money in the paycheck

And the relationship between the two variables varies DIRECTLY, thus they are equated with one another. 

Well anyway, you can write this simple equation for their relationship:

16t=124p

Then you derive if you want to get the number of hours or the amount paid:

1) 16t/16= 124p
t = 124p/16
t=7.75p

or 

2) 124p=16t
124p/124= 16t/124
p = 0.129t
IRISSAK [1]3 years ago
5 0

Answer:

p=7.75t

Step-by-step explanation:

We have been given that the amount of a persons paycheck p varies directly with the numbers of hours worked t.

Since we know that the equation for direct variation is in form: y=kx, where, k represents the constant of variation.

We are also told that for 16 hours of work, the paycheck is $124.00. We can represent our given information as:

p=k*t

Upon substituting p=124 and t=16 in directly proportional equation we will get,

124=k*16

Let us divide both sides of our equation by 16 to solve for k.

\frac{124}{16}=\frac{k*16}{16}

7.75=k

Upon substituting the value of constant of variation in our equation we will get,

p=7.75t

Therefore, the equation p=7.75t represents the relationship between hours of work and pay.

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Answer:

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Step-by-step explanation:

C = 12+ am

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Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

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Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

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Write an exponential function to model the following situation
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Answer:

y = 140000(1.04)^{x}; 262 000

Step-by-step explanation:

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a = 140 000; b = 1.04; x = 16

y = 140000(1.04)^{x}

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Aleksandr-060686 [28]

Answer:

E. 0.11

Step-by-step explanation:

We have these following probabilities:

A 10% probability that a person has the flu.

A 90% probability that a person does not have the flu, just a cold.

If a person has the flu, a 99% probability of having a runny nose.

If a person just has a cold, a 90% probability of having a runny nose.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have that:

What is the probability that a person has the flu, given that she has a runny nose?

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P(A) is the probability that a person has a runny nose. It is 0.99 of 0.1 and 0.90 of 0.90. So

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What is the probability that this person has the flu?

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.1*0.99}{0.909} = 0.1089 = 0.11

The correct answer is:

E. 0.11

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