Answer:
x + y = 14
Step-by-step explanation:
Parallel lines have the same slope, so the line's slope will be -1.
Plug this slope and the given point into y = mx + b to find b:
y = mx + b
4 = -1(10) + b
4 = -10 + b
14 = b
Then, plug this and the slope into y = mx + b
y = -x + 14
Then, put this into standard form by moving the x to the other side:
x + y = 14 is the equation in standard form
Answer:
let water evaporated be x ml
...
acid 8% ------60 ml
...
final quantity = 10% ----(60-x)
..
60*8 = 10(60-x)
480=600-10x
10x=600-480
10x= 120
/10
x=12 ml should be evaporated.
Step-by-step explanation:
Answer:
7 fossils
Step-by-step explanation:
Find the cost for transportation by multiplying 20 by 5, since it is $5 per student and there are 20 students
20(5)
= 100
Subtract this from 128, since they raised $128
128 - 100
= 28
This means they have $28 to spend on fossils.
To find how many they can buy, divide 28 by 4, since they are $4 each
28/4
= 7
So, they can buy 7 fossils with the money they have left
Answer:
Q1
|a-b| = b-a when a<b
Q2
104159/33000
Step-by-step explanation:
Q1
If a<b then a-b will always be negative. To get the absolute value, we can take -(a-b) = -a+b = b-a.
Q2
Let x = 3.12789789789...
We isolate the repeating decimal to start after the decimal, so we multiply by 100.
100x = 312.789789789...
We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.
100000x = 312789.789789
Subtracting the two...
x(100000-100) = 312789.789789 - 312.789789
99900x = 312477
x = 312477/99000 = 104159/33000
4x+16=6x
16=2x
8=x
And 11y+6x=180 (line)
11y+6(8)=180
11y+48=180
11y=132
Y=12
