Answer:
Step-by-step explanation:
x = cheaper compact disc
y = more expensive compact disc
x + y = 375.....x = 375 - y
12.95x + 14.95y = 5306.25
12.95(375 - y) + 14.95y = 5306.25
4856.25 - 12.95y + 14.95y = 5306.25
4856.25 + 2y = 5306.25
2y = 5306.25 - 4856.25
2y = 450
y = 450/2
y = 225 <==== there were 225 of the more expensive compact discs sold
x + y = 375
x + 225 = 375
x = 375 - 225
x = 150 <==== there were 150 of the cheaper compact discs sold
check...
12.95x + 14.95y = 5306.25
12.95(150) + 14.95(225) = 5306.25
1942.50 + 3363.75 = 5306.25
5306.25 = 5306.25 (correct)
The function y = - 50x + 75 is linear. So, the correct option is (A).
<h3>Define linear function.</h3>
The formula for a linear function is f(x) = mx + b, where m and b are real values. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b? Yes, this is the case as the graph of a linear function is a line. Here,
The line has a slope of m and a y-intercept of b.
The independent variable is "x."
The dependent variable is "y" (also known as f(x)).
Consider the equation y = - 50x + 75
Compared to the linear function equation, we get
m = -50
b = 75
So, the function is a linear function with a constant change. The function will be linear at all points.
To know more about linear functions, visit:
brainly.com/question/20286983
#SPJ1
Answer:
1. r= 47
2.h=23
3.n=80
4.q=35
Step-by-step explanation:
r=9+38
h=40-17
n=155-75
q=18+17
I read:
Farm Maid Yogurt : 6 g of fat in 13 cups
Dairy Delight Yogurt: 5 g of fat in 11 cups.
(This is what I read, which does not represent realistic numbers, likely decimals are missing).
(a) Farm Maid Yogurt
6 g/13 cups = 10 g/x cups
Cross multiply: 6x = 130 => x=130/6=21.67 cups.
(b)
Farm maid : 6 g/13 cups, 6/13 in 13/13 cups => 0.4615 g/cup
Dairy Delight : 5 g / 11 cups, 5/11 in 11/11 cups => 0.4545 g/cup
=> Dairy Delight Yogurt has slightly less fat.
(c) 9 cups of Dairy Delight
5 g / 11 cups = x g / 9 cups
Cross multiply
11x=5*9 g => x=5*9/11 g = 4.09 g
(d) 3 cups of Dairy Delight & 5 cups of Farm Maid.
5 g/ 11 cups = x g / 3 cups
Cross multiply
x=5*3/11 = 1.3636 g
5 cups of Farm Maid
6 g / 13 cups = y g / 5 cups
Cross multiply
y=6*5/13=2.3077 g
Total fat consumed = 1.3636+2.3077 g = 3.6713 = 3.671 g (to the nearest thousandth gram).
