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koban [17]
3 years ago
6

Ashley earns money at a constant rate. Ashley earns $15 in 2.5 hours. We want to know how much money, m, Ashely will earn after

t hours. Write the linear equation in two variables that represent the amount of money she earned in any given time interval.
pls don't answer if you don't know so ppl don't spend their answers on that if they don't have plus
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

Step-by-step explanation:

$15/2.5hr=$6 so if earnings are y and hours worked is x then

y=6x

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you invest 1,600 calculate the balance of your account after 6 years. round your answer to the nearest hundredth
stealth61 [152]
The answer would be 375 I think
3 0
3 years ago
My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the reme
zubka84 [21]

Answer:

There are 105 pennies in the piggy bank.

There are 42 nickels in the piggy bank.

Step-by-step explanation:

there are:

p pennies in the piggy bank

n nickels in the piggy bank

Then we can define T, the total number of coins, as:

T = p + n

We know that 2/7 of the total number of coins are nickels.

This can be written as:

n = (2/7)*T = (2/7)*(n + p)

And if we remove 84 pennies, 1/3 of the remaining coins are pennies.

This can be written as:

p - 84 = (1/3)*(n + p - 84)

Then we have a system of two equations:

n = (2/7)*(n + p)

p - 84 = (1/3)*(n + p - 84)

Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.

We can isolate n in the first one, to get:

n = (2/7)*(n + p) = (2/7)*n + (2/7)*p

n - (2/7)*n = (2/7)*p

n*(5/7) = (2/7)*p

n = (7/5)*(2/7)*p = (2/5)*p

n = (2/5)*p

Now we can replace this in the other equation:

p - 84 = (1/3)*(n + p - 84)

p - 84 = (1/3)*( (2/5)*p + p - 84)

Let's solve this for p

p - 84 = (1/3)*( (7/5)*p - 84)

3*(p - 84) = (7/5)*p - 84

3p - 252 = (7/5)*p - 84

3*p - (7/5)*p = 252 - 84

(15/5)*p - (7/5)*p = 168

(8/5)*p = 168

p = (5/8)*168 = 105

There are 105 pennies in the piggy bank.

And we know that:

n = (2/5)*p = (2/5)*105 = 42

There are 42 nickels in the piggy bank.

4 0
3 years ago
What is the equation of the line that passes through the point (-2, 7) and has a slope of zero
lorasvet [3.4K]

Answer:

y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.

Step-by-step explanation:

Given:

Let,

A ≡ ( x1 , y1 ) ≡ ( -2, 7 )

Slope = m = 0

To Find :

Equation of Line:

Solution:

Formula for , equation of a line passing through a point (  x1 , y1 ) and having a slope m is given by

(y - y_{1})=m(x-x_{1})

Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,

y-7=0\times(x--2) \\y-7=0\times (x+2)\\y-7=0\\\therefore y=7

Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero

6 0
3 years ago
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabyt
soldi70 [24.7K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Maximum capacity of hard drive = 500 GB

Space used up = 58 GB

Size per movie = 8GB

Number of movies = x

1)

[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.

From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.

That is ;

[(8x + 58 ≤ 500

8x ≤ 500 - 58

8x ≤ 442

x ≤ 442 / 8

x ≤ 55.25

The maximum number of movies Elena can download is 55

8 0
3 years ago
Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met a
Archy [21]
Answer: P = 8/15

Explanation:

There are 30 contact in total

And there are 16 contacts are people he met at school

P = 16/30 = 8/15
4 0
3 years ago
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