Answer: the cost of one cherry pie is $18 and the cost of one pumpkin pie is $20
Step-by-step explanation:
Let x represent the cost of one cherry pie.
Let y represent the cost of one pumpkin pie.
Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. This means that
2x + 4y = 116 - - - - - - - - - - - - - -1
Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286. This means that
7x + 8y = 286 - - - - - - - - - - - - 2
Multiplying equation 1 by 7 and equation 2 by 2, it becomes
14x + 28y = 812
14x + 16y = 572
Subtracting, it becomes
12y = 240
y = 240/12 = 20
Substituting y = 20 into equation 1, it becomes
2x + 4 × 20 = 116
2x + 80 = 116
2x = 116 - 80 = 36
x = 36/2 = 18
Answer:
Please find attached the required graph and
Step-by-step explanation:
The values for the information given can be written down as follows;
Time, seconds Volume mL
0, 500
12, 450
24, 400
36, 350
48, 300
60, 250
72 250
84 250
96 250
108 250
120 250
132 250
144 250
156 250
168 250
180 250
192 250
204 250
216 250
228 250
240 250
252 250
264 250
276 250
288 250
300 250
312 225
324, 200
336, 175
348, 150
360, 125
372, 100
384, 75
396, 50
408, 25
420, 0
4/7 × 3/4
(4 and 4 are cancelled )
7×3
the answer is 21
891
prime factors number to factorize
3 297
3 99
3 33
3 11
11 1
Therefore, the prime factorization of 891 is 1×3×3×3×3×11= 1×3^4×11, or 1*81*11
Answer:
the y-value of the vertex = 1,125
Step-by-step explanation:
The table is as shown at the attached figure.
By graphing values in an x-y plane and observe the graph.
From the illustration, locate the vertex. The vertex of the parabola is (5, 1,125). So, the y-value of the vertex of the parabola that models the data is 1,125.
See the graph between x and y.