Answer:
1.5 kg of pepper cheddar cheese; and
4.5 kg of Pennsylvania Jack
Step-by-step explanation:
Given that;
the amount of the mixture formed = 6 kg
Then if (x) is the amount of pepper cheddar cheese in the mixture
then the amount of Pennsylvania Jack in the mixture = 6 - x
Let apply the value mixture equation V = AC
where;
V= value of the ingredient
A = amount of the ingredient
C = unit cost of the ingredient
From, the data given in the question; we have
Amount (A) Unit cost (C) = Value (V)
Pepper
Cheddar x 15 = 15x
Cheese
Pennsyl-
vania 6- x 10 = 10(60-x)
Jack
Mixture 6 11.25 = 67.50
The sum of the values of the two ingredient must definitely be equal to the value of the mixture; as such
15x + 10(6-x) = 67.5
15x + 60 - 10x = 67.5
5x + 60 = 67.5
5x = 67.5 -60
5x = 7.5
x = 1.5
From 6 -x =0
we have 6 -1.5 = 0
= 4.5
Hence, 1.5 kg of pepper cheddar cheese that costs $15 per kg should be mixed with 4.5 kg of Pennsylvania Jack that costs $ 10 per kg
7Answer:
Step-by-step explanation:
For sales tax, you just have to multiply the percentage by the number. So you can only have one step, add 1 after you divide the percentage by 100.
45.5•1.07=48.685
The cent only goes to the hundredths, so we have to round.
The total amount is $48.69.
Based on the given description above, here is how we are going to solve it.
Let n be the number of years. So the equation will be like this.
37000n + 1500n = 1025000
Now let us solve for n.
38500n = 1025000 <<<divide by sides by 38500 and the result is
n=26.62
Therefore, it will take 26 years and 6 months before you made a total salary of 1,025,000 dollars. Hope that this answer helps.
The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.
<h3>What is quadratic formula?</h3>
Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,
ax²+bx+c=0
For the above equation, the quadratic formula can be given as,
The equation of variable x is given as,
h(x) = 7x²-45x + 12,
The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.
18 = 7x²-45x + 12
0= 7x²-45x + 12-18
0=7x²-45x -6
Find the roots of the equation using the quadratic formula:
Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.
Learn more about the quadratic formula here;
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