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
Answer:
Step-by-step explanation:
sqrt(28): sqrt(4*7)
sqrt(4) = 2;
sqrt28)=2*sqrt(7)
sqrt(343): sqrt(7 * 7 * 7) = 7 * sqrt(7)
Note: the rule is if you have 3 equal primes under the root sign, you leave one, you throw one away, and you put one outside the root sign.
2 sqrt(63) = 2 sqrt(3*3*7) The above rule gets modified to throw 1 three away and take the other one outside the root sign.
2sqrt(63) = 2*3 sqrt(7)
Numerator: 2*sqrt(7) + 7sqrt(7) = 9sqrt(7)
9sqrt(7)
======
6 sqrt(7)
3/2
Note without brackets I cannot be certain that I have interpreted this correctly. The division only apply to sqrt(343) / 2 sqrt(63). If this is so please leave a note.
Btw I’m not 100% confident in this answer.
There is a open circle over 7 in the x-axis b cause it is not greater than and less than 7
Answer:
0.27
Step-by-step explanation:
Red marbles = 4
Yellow marbles = 16
Purple marbles = 5
Blue marbles = 16
Green marbles = 10
Total marbles
= 4 + 16 + 5 + 16 + 10
= 51
Red and Green marbles
= 4 + 10
= 14
P(Red or green marbles)
= 14/51
= 0.27
In polar coordinates, the region 
is the set of points
and we have 
and 
. So the integral, converted to polar, is
Substitute 
to get
