Answer:
35 cups of flour is used with 7 cups of sugar
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the exact solution, find the equation for each line. And solve for x and y.
To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.
✍️Equation 1 for the line that slopes upwards from left to your right:
Slope = 
b = the point at which the y-axis is intercepted by the line = 7
Substitute m = 2 and b = 7 in y = mx + b
Equation 1 would be:
✔️y = 2x + 7
✍️Equation 2 for the line that slopes downwards from left to your right:
Slope = 
b = the point at which the y-axis is intercepted by the line = 1
Substitute m = -3 and b = 1 in y = mx + b
✔️Equation 2 would be:
y = -3x + 1
✍️Solve for x and y:
✔️To solve for x, substitute y = -3x + 1 in equation 1.
y = 2x + 7
-3x + 1 = 2x + 7
Collect like terms
-3x - 2x = 7 - 1
-5x = 6
Divide both sides by -5
✔️To solve for y, substitute x = -1⅕ in equation 2.
y = -3x + 1
✅The exact solution would be:
Answer:
B (300, 400)
Step-by-step explanation:
The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :
P = 40x + 55 y
A - When x = 0 , y = 500
P = [40 * 0] + [55 * 500]
P = 27500
B -
When x = 300 , y = 400
P = [40 * 300] + [55 * 400]
P = 34000
C -
When x = 380 , y = 200
P = [40 * 380] + [55 * 200]
P = 26200
D -
When x = 400 , y = 0
P = [40 * 400] + [55 * 400]
P = 16000
Answer:
One triangle
Step-by-step explanation:
That's the answer....
Answer:
f(8) = 65
Step-by-step explanation:
Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).
To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.
• 100 - 95 = 5
• 95 - 90 = 5
• 90 - 85 = 5
• 85 - 80 = 5
• 80 - 75 = 5
Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.
To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.
• f(1) = 100
• f(2) = 95
• f(3) = 90
......
• f(7) = 70
• f(8) = 65
