Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
Answer:
- 0
- 1
- an infinite number
Step-by-step explanation:
<u>Case 1</u>
The absolute value of a number will not be negative, so the function is the sum of two non-negative numbers. That sum cannot be negative, so there will be no points on the graph.
<u>Case 2</u>
The sum of two non-negative numbers can be zero if they both are zero. This graph will have exactly one point: (x, y) = (0, 0). (In the attached, it doesn't show up.)
<u>Case 3</u>
There are an infinite number of ways two non-negative numbers can sum to a positive number. There will be an infinite number of points on the graph. The line segments in the attached graph illustrate that for c = 1.
Answer:
If both statements are true or if both statements are false then the converse is true. A conditional and its converse do not mean the same thing.
Step-by-step explanation:
Answer:
16. 142 deg
17. 23 deg
18. 134 deg
19. 38 deg
Step-by-step explanation:
16.
m(arc)QT = 2m<QST = 2 * 71 = 142
17.
m<STR = (1/2)m(arc)RS = (1/2)46 = 23
18.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RST = 180
m(arc)RS + m(arc)ST = m(arc)RST
46 + m(arc)ST = 180
m(arc)ST = 134
19.
RT is a diameter since it includes the center of the circle, point X.
m(arc)RQT = 180
m(arc)RQ + m(arc)QT = m(arc)RQT
m(arc)RQ + 142 = 180
m(arc)RQ = 38
I got D for this one................
