<span>Table:
Class Boundaries Frequency
5-10 8
10-15 9
15-20 15
20-25 10
25-30 8
30-35 6
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total 56
Average =
[5+10]/2*8+[10+15]/2*9+[15+20]/2*15+[20+25]/2*10+[25+30]/2*8+[30+35]/2*6
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</span> 56
That is 1075 / 56 = 19.2
Answer: 19
Step-by-step explanation:
MN=MP+PN
3X+2=5X-18
2X=20
X=10
MP=50
MN=32
NP=18
Answer: A cherry pie costs 9 and an apple pie cost 12
Step-by-step explanation:
Let an apple pie be represented by a
Let an cherry pie be represented by c
Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:
12c + 3a= 144
Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:
2c + 9a = 126
12c + 3a= 144 ............. i
2c + 9a = 126 ........... ii
Multiply equation i by 2
Multiply equation ii by 12
24c + 6a = 288 ........ iii
24c + 108a = 1512 ...... iv
Subtract iv from iii
-102a = -1224
a = 1224/102
a = 12
An apple pie costs 12
From equation i
12c + 3a= 144
12c + (3×12) = 144
12c + 36 = 144
12c = 144 - 36
12c = 108
c = 108/12
c = 9
A cherry pie costs 9
-1/2(x-6)-1/4(x-4)-(x-7)= ?
Simplify 1/4
1 ÷ 4 = 0.25
Simplify 1/2
1÷2 = 0.5
The lowest common denominator of this problem is 4
16 - 3(x) / 4 - ( x - 7)
44 - 7(x) / 4
-7(x)+44 = 0
-7 - 44 = -51
-7 - 0 = -7
-7(x) = 44
-7(-1)(x) = x
-1(44) = -44
44 ÷ 7 = 6.28
We have have one solution in this problem
So, therefore x = 44/7
