Answer:
x=2
y=3
Step-by-step explanation:
y=−2x+7
y=5x−7
Set the two equations equal since they are both equal to y
−2x+7
=5x−7
Add 2x to each side
-2x+7+2x = 5x-7+2x
7 = 7x-7
Add 7 to each side
7+7 = 7x-7+7
14 =7x
Divide by 7
14/7 = 7x/7
2 =x
Now find 7
y = 5x-7
y = 5(2) -7
y = 10-7
y = 3
Let us determine each of their rates of work:
Since Tiana can clear the field in 3 hours, meaning she can do 1/3 of the work per hour.
In the same way, Jacob can do 1/2 of the work per hour.
Now, what would be the rate of work if they were working together? Let's look at it like this:
Hours to complete the job:
Tiana = 3
Jacob = 2
Together = t
Work done per hour:
Tiana = 1/3
Jacob = 1/2
Together = 1/t
If you add their labor together:
1/3 + 1/2 = 1/t
5/6 = 1/t
t = 6/2 = 1.2
Together, they can clear the field in 1.2 hours.
Answer:
15
Step-by-step explanation:
18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]
18 . ( 5 ) ÷ [ 12 - 6 ]
90 ÷ 6
15
Answer: £90
Step-by-step explanation:
Pip and Sara get some money. They share it in the ratio 5 : 4.
Pip gets £50 so what did Sara get:
Use direct proportion:
5 : 4
50 : x
5x = 200
x = 200/5
x = £40
Pip got £50 and Sara got £40.
Together they got:
= 50 + 40
= £90