Answer:
The answer is 18p^3r and 63p^3
Step-by-step explanation:
G.C.F of 18p^3 r and 45p^4q is = 9p^3
18p^3r = 2*3*3*p*p*p*r
45p^4q = 3*3*5*p*p*p*q
Thus the G.C.F is 3*3*p*p*p = 9p^3
G.C.F of 63p^3 and 45p^4q is = 9p^3
63p^3 = 3*3*7*p*p*p
45p^4q = 3*3*5*p*p*p*q
Thus the G.C.F is 3*3*p*p*p = 9p^3
Therefore the answer is 18p^3r and 63p^3....
Answer:
605 boys
Step-by-step explanation:
If the ratio of boys to girls is 5:7
and there are 847 girls
we can plug this value into the ratio by doing something like:
5:7
= 5/7
= x/847
Because the ratio has to be the same, we can substitute x for the number of boys and solve by the cross method or whatever you guys call it.
5 x
--- x ------
7 847
The x in the middle is just to show the direction you are multiplying.
the 5 is multiplied by the 847 and the 7 is multiplied by x.
847 * 5 = 4,235
4,235 divided by 7 is 605
605 is your answer.
The cross method can be used in most situations.
* is used to represent multiplication btw
Answer:
5/8
Step-by-step explanation:
We know the CE = 10x + 18 and DE = 7x - 1 and D is the midpoint of CE
⇒ CE = 2 * DE
⇒ 10x + 18 = 2 * (7x - 1)
⇒ 10x + 18 = 14x - 2
⇒ -4x = -20
⇒ x = 5
Now we also know that BC = 9x - 3 and AC = CE = 10x + 18
⇒ AB = AC - BC
⇒ AB = 10x + 18 - (9x - 3)
⇒ AB = x + 21
Substituting the value of x,
⇒ AB = 5 + 21
⇒ AB = 26
Hence, the value of AB is 26 units.
Answer:
The total amount paid to Usan (gross pay) is $416.75
Step-by-step explanation:
15% (tip) per dollar. There are 325 dollars here.
Usan earns $2.15 an hour. There are 20 hours here.
15% times 325 --- 325 * 1.15 (we are adding the tip right away by having the one in front of the .15)
1.15*325 = 373.75
2.15 times 20
2.15*20 = 43
-------------------
373.75 + 43 = 416.75
$416.75
