The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
Find out more on equation at: brainly.com/question/13763238
Now before taking the inverse tangent of both sides, recall that
where
is any integer. This means that when taking the inverse tangent of
, instead of just
, we would end up with
So after doing so in the equation above, we're left with
As
can be any integer, including negative integers, we can simply write
Well, we do not know how many fish Rita has, so lets represent that with y. Anyway, it says that catherine has twice as many fish as Rita. So that will be 2y. And Stella has twice as many as catherine, so that will be 2 x 2y. And that will be 4y. So Ruth has y, catherine has 2y and stella has 4y. And the total is 70. So that means that the number of fishes added together will be 70. That can be represented as;
y + 2y + 4y = 70
y is the same as 1y. And when you add y + 2y + 4y, you will get 7y. So
7y=70
Divide the both sides by 7. That will be;
y= 7 . So Rita has 7 fishes. Hope i helped.
Answer:
Therefore, he can make 2 batches of lemonade with 1pint of lemon juice
Answer:
There are 32 dimes and 25 quarters.
Step-by-step explanation:
q + d = 57 or q = 57 - d
25q + 10d = 945
substitute first equation into second equation:
25(57 - d) + 10d = 945
1425 - 25d + 10d = 945
-15d = -480
d = -480/-15 = 32
using first equation:
q = 57 - 32 = 25
check using second equation:
25(25) + 10(32) = 945 checks
