A) 36 means that there are 36 students taking Italian and music AT SAME TIME
b) 59 means that there are 59 students taking only music
c) 48 means that there are 48 students taking neither Italian nor music
d) Italian OR Music = 97 + 36 +59 = 192
e) Do not take Italian: 48 + 59 = 107
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
2:9 4:8
8:3 24:6
9:7 3:2
18:15 6:6
18:12 12:16
10:40 5:9
12:16 6:7
12:36 12:18
45:15 4:5
those in bold are the answer
Answer:
1
Step-by-step explanation:
Answer:
2/5 of 3 = 2/5 * 3 = 6/5....what he plants
(6/5) / 5 = 6/5 * 1/5 = 6/25 <== what each friend got
Step-by-step explanation:
