Answer:
Step-by-step explanation:
1 pound = 16 ounce
6 pound = 6 * 16 = 96 ounces
Cost of 96 ounces of grapes = $18
Cost of 1 ounce of grape = 18/96
Cost of 72 ounces of grape = 18*72 / 96 = 27/2
= $13.50
Or
Direct Proportion because is weight increase, the cost will increase
96:18 = 72 : x
Product of means = Product of extremes
18*72 = x*96
18*72/96 = x
x =$13.50
So the ornament is $16.00-3/4% off=15.88
-3/4%=0.12 So, $16.00-0.12=15.88
The ornament costs $15.88.
Answer: The value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
Step-by-step explanation:
Since we have given that
y varies directly as x.
If y = 18, when x = 5.
So, we need to find the value of y when x is 11.
According to question, we get that
Hence, the value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
