Answer: OPTION D.
Step-by-step explanation:
The formula for calculate the circumference of a circle is:
Where <em>r</em> is the radius.
The formula for calculate the area of a circle is:
Where <em>r</em> is the radius.
Solve for <em>r</em> from to calculate it:
Subsitute the radius into . Then:
Answer:
12 hours
Step-by-step explanation:
If we assume that the units of D are kg, then we can put the given number into the equation and solve.
21 = h +9
12 = h . . . . . subtract 9
Eli worked 12 hours to prepare 21 kg of dough.
Look in the table at the column that has 1 minute and 4.25 pages. Printer A prints 4.25 pages in 1 minute which is a rate of 4.25 pages per minute. The rate of printing is the slope in the equation. A rate of 4.25 pages per minute is represented by the equation y = 4.25x, where 4.25 ids the slope of the equation.
We are told that Printer A prints faster than Printer B, so Printer B must have a lower rate of printing than Printer A. The equation for Printer B must have a slope less than 4.25.
There are two choices which have a slope less than than 4.25.
Answer: y = 4.2x; y = 4x
If you take the numerator and the denominator from flour and multiply both by 10, you'll get 40/100. then, add 40/100 to 12/100. your answer should be 52/100. if not, look back through your math. hope that helped.
Answer:
(3, 1)
Step-by-step explanation:
(a) Algebraic solution
(1) y = -⅔x + 3
(2) y = 2x - 5
Set Equation (1) equal to Equation (2)
-⅔x + 3 = 2x - 5
Multiply each side by 3
-2x + 9 = 6x - 15
Add 15 to each side
-2x + 24 = 6x
Add 2x to each side
24 = 8x
Divide each side by 3
(3) x = 3
Substitute (3) into (2)
y = 2×3 - 5 = 6 - 5 = 1
The ordered pair that makes both equations true is (3, 1).
(b) Graphical solution
In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).
