P - q i believe because
p = total average
q = average of ac
x = average of bd
p - q = x
Answer: x = -5
Step-by-step explanation:
-x + 4 = 9
-4 -4
-x = 5
divide by -1 on both sides
x = -5
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get

= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.
Answer:
a. see below
b. Rita: 300; John: 900; Rodell: 925
c. Rita: L; John: 3L; Rodell: 3L+25
d. L +3L +(3L+25) = 2125
e. Rita: $600; John: $1800; Rodell: $1850
Step-by-step explanation:
Since John's number of laps is expressed in terms of Rita's number of laps, it makes a certain amount of sense to use Rita's laps as a unit of measure. We don't yet know what that unit of measure is, but we can use it to describe both John's laps and Rodell's laps. Rodell will have 25 additional laps added to the 3 units that match John's laps.
Altogether, these 7 units +25 laps will match the total of 2100 +25 laps. It is pretty clear that 1 unit will be 2100/7 = 300 laps. This is shown in the attachment.
__
a) The attachment matches the above description.
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b) 1 unit of 300 laps is the number of laps Rita swam. Then John's 3 units correspond to 3×300 = 900 laps, and Rodell's laps will be 25 more than John's, so 925.
__
c) In this part, we define 1 unit as L, so the three contributors are ...
- Rita: L
- John: 3L
- Rodell: 3L+25
__
d) The equation shows that the sum of the parts is equal to the whole:
L + 3L + (3L+25) = 2125
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e) The numbers of part (b) get multiplied by $2, so are ...
- Rita: $600
- John: $1800
- Rodell: $1850