Given
jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.
find out the combined cost of 1 pound of turkey and 1 pound of ham
To proof
As given in the question
jacinta buys 4 pounds of turkey and 2 pounds of ham
total pay by jacinta = $30
let us assume that the price of the ham = x
as given in the question
turkey costs $1.50 less per pound than the ham
turkey costs becomes = x - 1.50
then the equation becomes
30 = 4 (x - 1.50) + 2x
30 = 4x + 2x - 6
36 = 6x
x = 6
thus
ham cost per pound = $6
turkey cost per pound = 6 - 1.50
= $ 4.5
Now find out
cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5
= $ 10.5
Hence proved
Answer:
The probability that the man is greater than 74 inches is 0.1587
Step-by-step explanation:
The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values
The standard normal variate factor (Z) is given by
where
is mean of the data
is the standard deviation of the data
Thus corresponding to x = 74 the Z factor equals
Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals
0.1587
I 11 x - 22 I > 22
∴ 11x-22 > 22 OR (11x -22) < -22
∴ 11 x > 44 :::::::: 11x - 22 < -22
x > 4 :::::::: x < 0
∴ x ∈ ( -∞ , 0 ) ∪ ( 4 , ∞)
∴ The correct choice is number 1
The solution is attached in the figure
Complete question;
A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a
total of 18 pizzas for the party and paid a total of $212.
Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought.
Answer:
13x + 11y = 212
Step-by-step explanation:
They bought 2 different recipe of pizza. The first is the pepperoni pizza and the second kind is the plain pizza. The pepperoni pizza cost $13 each while the plain Pizza cost $11 each. The total number of pizza bought is 18 in number.
The total cost of the pizza is also $212.
number of pizza bought = 18
total cost of pizza = $212
x = the number of pepperoni pizzas
y = the number of plain pizzas
The number of pepperoni pizzas multiply by the cost for each will give the cost of the pepperoni pizzas. This same method is applied to get the cost of the plain pizzas.
Therefore, adding the individual cost of the kinds of pizza will give the total cost of the pizzas.
13x + 11y = 212
the smaller number is 13 and the larger one is 18.
Let's say that the smaller number is x and the larger one is y.
Giving the equation x + 5 = y
This would also make the equation y^2-x^2= 155
to solve let's simplify to find what y^2 is in x terms.
y^2 = (x+5) (x+5) = x^2 +10x + 25.
therefore x^2 + 10x + 25 -x^2= 155
10x + 25 = 155
10x = 130
x = 13
y = 18
