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3 years ago

Donnie has 4 dollars, 6 pennies and 9 dimes. write a decimal and a fraction for the amount of money Donnie has.

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

4.96 as a decimal and 4/96 as a fraction or 1/24 in simplified

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Mikes movie Rentals Charge $3.00 for each rental plus $0.50 for each additional day. Reed's Rentals Charge $1.50 each rental plu

iris [78.8K]

Answer:

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

So, Mikes Movie Rentals cost equations is:

CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

Now lets find Reed's Rental cost.:

CostReed = 1.5 + 1.25X

And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4

(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)

For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X

1.5 = 0.75 X

Dividing both sides by 0.75:

1.5 / 0.75 = 0.75 X / 0.75

2 = X

So, for 2 additional days bith charges are equal.

6 0

3 years ago

Help? What is the answer?

77julia77 [94]

Answer:

at this point just hack it

4 0

1 year ago

Find the equation of the line passing<br> through the points (2, 1) and (5, 10).<br> y = [? ]x + [ ]

sladkih [1.3K]

Answer:

$y=3x-5$

Step-by-step explanation:

$m=10-1/5-2$

$m=9/3$

$m=3$

$y=3x+b$

$x=2, y=1$

$1=3(2)+b$

$1=6+b$

$-5=b$

$y=3x-5$

8 0

3 years ago

At a sale, dresses were sold for $90 each. This price was 75% of a

gulaghasi [49]

Answer:

A dress originally costs $120

Step-by-step explanation:

To find the original cost of the dress, we will follow the steps below;

let x represent the original cost of the dress

75% of x = $90

$\frac{75}{100}$ × x = $90

$\frac{75X}{100}$ = $90

MULTIPLY both-side of the equation by 100

$\frac{75X}{100}$ × 100 = $90×100

At the right-hand side of the equation, 100 will cancel out 100, leaving us with just 75x

75x = $9000

DIVIDE both-side of the equation by 75

75x/75 = $9000/75

At the left-hand side of the equation 75 will cancel-out 75 leaving us with just x

x= $9000/75

x = $120

A dress originally costs $120

3 0

3 years ago

What is the solution to the system of equations? 2x+4t=12

katen-ka-za [31]

Answer:

C. $(8, -1)$

Step-by-step explanation:

{y = ¼x - 3}

{2x + 4y = 12

2x + 4[¼x - 3] = 12

2x + x - 12 = 12

3x - 12 = 12

+ 12 + 12

_________

3x = 24

__ __

3 3

$x = 8$ [Plug this back into both equations above to get the y-coordinate of −1]; $-1 = y$

I am joyous to assist you anytime.

6 0

3 years ago