1.5 cups
Step-by-step explanation:
3x2=6
4 goes into 6 once and leaves 2 which is half of 4
Answer:
Firstly need to understand the questions.
If 15 men working 10 days, They earn 500.
If 12 men working 14 days, how much they will earn?
Step-by-step explanation:
560
Solution:
15 men working for 10 days =500
1 man working for 1 day = 500/(10*15) =10/3
Now 12 men working for 14 days = 12*14*10/3 =560.
I am pretty sure that answer is right.
Thank you :)
We can use linear combinations of the equations to eliminate variables.
3x - 4y = 1
-2x + 3y = 1
To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second.
9x - 12y = 3
-8x + 12y = 4
Adding,
x = 7
We could solve for y directly but let's use another linear combination, twice the first plus three times the second:
2(3x - 4y) + 3(-2x + 3y)= 2(1)+3(1)
y = 5
Check: 3(7)-4(5)=1 good. -2(7)+3(5)=1 good.
Q18 Answer: (7,5)
y = -3x + 5
5x - 4y = -3
4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)
5x = -12x + 20 -3
17 x = 17
x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good
Q19 Answer (1,2)
6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good 2y+24=2(-7)+24=10=x good
Q20 Answer (10,-7)
3x + y = 18
-7x + 3y = -10
9x + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6
Check: 3(4)+6=18 good, -7(4)+3(6)=-10 good
Q21 Answer: (4,6)
Answer:
7
Step-by-step explanation:
Fiction books: (1/6) of 30 books = 5 books
Non-fiction books: (3/5) of (30) books = 18 books
The subtotal here is 5 + 18, or 23.
23 of the books are either fiction or non fiction.
30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).
Answer:
x= -7/8
Step-by-step explanation:
8x + 7 = 0
8x + 7-7 = 0-7
8x=-7
8x/8x = -7/8