Roman has a certain amount of money. If he spends $15, then he has 1/4 of the original amount left. How much money did Roman have originally?Bly 13 x

Answers

Answer 1

Answer:

Answer:

$60

Step-by-step explanation:

Method 1

We want to know how much money Roman originally has considering if he spends $15, then he has $(1)/(4)$ of the original amount left. So,

We know that $(1)/(4)$ = 15 so $(2)/(4)$ = 30 and double that will get 60 so 60 is the original amount

Method 2

Lets call the original amount 'x'

If he spends $15 he has $(1)/(4)$ of the original amount so,

$(1)/(4)$ x = 15

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided 15 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$(1)/(4)$ x = 15

→ Multiply both sides by 4 to isolate x

x = 60

So $60 was the original amount

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Solving Linear Systems: Using Substitution
x=3y-4
3y - 4x = 6
someone pls help

Answers

Answer:

x = -2/3

y = 10/9

Step-by-step explanation:

3y - 4x = 6

x=3y-4

Substitute the second equation into the first for x

3y - 4( 3y-4) =6

3y - 12y +16 = 6

Combine like terms

-9y +16 = 6

Subtract 16 from each side

-9y +16-16 = 6-16

-9y = -10

Divide by -9

-9y/-9 = -10/-9

y = 10/9

x = 3y -4

x =3(10/9) -4

=10/3 - 12/3

=-2/3

If (-3, y) lies on the graph of y = 3-x, then y =

-27
1/27
27

Answers

sub
(x,y)
(-3,y)
x=-3
y=y
y=3-(-3)
y=3+3
y=6

y=6 which is mysteriously not listed

you're going to want to pick

B. 1/27

because

y=3^-3

y=1/(3^3)

y=1/(3 x 3 x 3)

y=1 / 27

i have no clue how this guy got Verrified answer

its a 3 choice question on odyssey ware.

we didn't make it man

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will be run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of that diagonal piece of pipe? A. 120 feet B. 17 feet C. 289 feet D. 23 feet

Answers

The correct answer to the question above would be letter C. The diagonal piece of pipe would be 289 feet. I got this through drawing a line in the two opposite corners of the rectangle, giving me a right triangle. Then, i proceeded to using the pythagorean theorem (since two sides are given and the hypotenuse is the one missing.

I have 8 flavors of ice cream and 4 different toppings. How many different ice cream sundaes can I make if I choose one flavor of ice cream and only one topping?

Answers

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A loan of $900 will be repaid in 36 installment payments of $30.22 each. What the finance charge for the loan?

Answers

First you need to multiply 36 *$30.22=$1087.92
This gives you the total amount paid

Then subtract 1087.92-900=187.92
This gives you the amount of money you paid in finance charges.

Is a trapezoid a square

Answers

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All squares are trapezoids. However there are some trapezoids which aren't squares.

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