Kristine bought 12 roses. This was found by subtracting the cost of the vase from the total spent and then dividing by the cost of one rose.
To find how many roses Kristine bought, we can set up the following equation:
$5.99 + $1.25x = $20.99
Here, x represents the number of roses. To solve for x, we can subtract $5.99 from both sides of the equation:
$1.25x = $20.99 - $5.99
$1.25x = $15
Finally, divide both sides of the equation by $1.25 to solve for x:
x = $15 ÷ $1.25
x = 12
Therefore, Kristine bought 12 roses.
#SPJ2
-9x - 3y = -15
Answer: (1,2)
Step-by-step explanation:
You must:
- Multiply the first equation by 3.
- Add both equations.
- Solve for the variable left. In this case will be x.
Then:
Substitute x=1 into any of the original equtions and solve for y:
The solution is: (1,2)
Answer:
The solution of the system of equation is (1 , 2)
Step-by-step explanation:
The system of equation is:
* 13x + y = 15 ⇒ (1)
* -9x - 3y = -15 ⇒ (2)
- By using elimination ⇒ we must make on of the
two variables in the two equations has the same value
with different sign
- So we will multiply equation (1) by 3 to eliminate y
∴ 3(13x) + 3(y) = 3(15)
∴ 39x + 3y = 45 ⇒ (3)
- Now add (2) and (3)
∴ 39x + -9x = 45 + -15
∴ 30x = 30 ⇒ ÷ 30 both sides
∴ x = 1
- Substitute the value of x in equation (1) or (2)
- Lets use (1)
∴ 13(1) + y = 15
∴ 13 + y = 15 ⇒ subtract 13 from both sides
∴ y = 15 - 13
∴ y = 2
∴ The solution of the system of equation is (1 , 2)
A product of two (or more) factor can be zero if and only if at least one of the factors is zero.
In other words, you cannot multiply two non-zero real numbers, and have zero as a result.
So, if we want the product of these two factors to be zero, at least one of them has to be zero.
The first factor is zero if
The second factor is zero if
The solutions to the equation are x = 2 and x = -5.
To find the solutions to the equation (x – 2)(x + 5) = 0, you need to set each factor equal to zero and solve for x. When the product of two factors is equal to zero, one or both of the factors must be equal to zero.
Set x - 2 = 0 and solve for x:
x - 2 = 0
x = 2
Set x + 5 = 0 and solve for x:
x + 5 = 0
x = -5
The solutions to the equation are x = 2 and x = -5. When you substitute these values back into the original equation, you get (2 - 2)(2 + 5) = 0 and (-5 - 2)(-5 + 5) = 0, both of which evaluate to 0, confirming that these are indeed the solutions.
To know more about equation:
#SPJ6
Which sequence of two transformations could she perform so that the transformed vertices become A’ (4,-5) , B’(7,-7), and C’(7,-4) ?
Answer: D
Step-by-step explanation: reflecting about the line y=-1, followers by translating 8 units to the right