You can create the equation 1.20x + 2.50y = 300
Where 1.20 is the price of each vinca flower, x is how many vinca you will buy, 2.50 is the price of each phlox flower, y is how many plhox you will buy and 300 is how much money you have.
To get three combinations of how many plhox and vinca flowers you ( or the gardner can buy) with 300, you can just take a random value for x or y, apply it to the equation and then solve the equation for the other
variable ( x or y).
This means:
Pick a number of how many flower you will get of ONE type of flower ( ONLY ONE)
The gardner will not get any Vinca flowers, then x = 0
( as x = how many vinca flower the gardner will get)
now apply 0 to x ( this means substitute x with 0)
(1.20)(0) + 2.50y = 300
Since any number x 0 is 0, the equation will be
0 + 2.50y = 300 or just 2.50y = 300
Now to solve an equation we just need to isolate the variable (y) on one side of the equation and the value on the other.
We can do that by dividing both sides of the equation, so 2.50y turns into 2.50/2.50 times y which is just y.
2.50/2.50 y = 300/2.50
y = 120
And since we chose the value for how many vincas we would buy, we have the x value as well ( 0)
x = 0
So 1 combination can be: 0 Vinca and 120 Plhox
Combination #2 ( I ll stop explaining the steps since I already explained how to do it)
y = 0 ( I chose not to buy any Plhox)
1.20x + (2.50)(0) = 300
1.20x = 300
1.20/120x = 300/120x
x = 25
y= 0
Combination 2: 25 Vincas and 0 plhox
Combination #3:
x = 100 ( I chose to buy 10 vincas)
(1.20)(100) + 2.50y = 300
120 + 2.50y = 300
( I didnt explain thow to isolate a variable in this situation so ill explain it: to isolate this esquation we can subtract 12 from both sides of the equation so 12 cancels out. We need to do it on both sides because otherwise the first side wouldnt be equal to the other sode, and that wouldnt be an equation)
120 - 120 + 2.50y = 300 - 120
2.50y = 180
y = 72
x = 100
Combination 3: 100 Vinca and 72 Plox
I know this is long but I hope it was helpful to you if you didnt know how to solve equations :)
.764 in percentage form is 76.4%
Answer:
The smallest integer is -4.
Step-by-step explanation:
Let the smallest integer be x.
Since the integers are all multiples of 4, they are
=> x, x+4, x+8, x+12 and x+16
=> x + x+4 + x+8 + x+12 + x+16 = 20
=> 5x + 40 = 20
Subtract 40 from both sides of the equation
5x +40 - 40 = 20 - 40
5x = -20
Divide both sides by the coefficient of x(which is 5)
x = -4
∴ the smallest integer is -4.
Hope this helps!!!
Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable, 
"Comprehensive strength of concrete". We have information that 
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, 
.
We want to know the probability of the mean of X or 
that falls in the interval ![[2499;2510]](https://tex.z-dn.net/?f=%5B2499%3B2510%5D)
. From inference theory we know that :
Now we can find the probability as follows:
Where 
, then:
They are equivalent ! both are 14
