In form
ax+by=c
slope=-a/b
y intercpept=c/b
so
-3x-4y=-12
a=-3
b=-4
c=-12
slope=-(-3)/-4=3/-4=-3/4
yint=-12/-4=3
slope=-3/4
yint is 3
Converse i think ill check
1000 is you answer
Or
10x10x10
Or
10/3
Answer:
sandwiches is £1.8
bottle water = £1.2
Step-by-step explanation:
Given data
let cheese sandwiches be x
and bottle water be y
3x+2y= 7.8------------1
5x+4y= 14.20---------2
solve 1 and 2
3x+2y= 7.8------------1*5
5x+4y= 14.20---------2*3
15x+10y= 39
- 15x+12y= 42.6
-2y = -3.6
y= 3.6/2
x=1.8
Put x= 1.8 in 1
3(1.8)+2y= 7.8
5.4+2y= 7.8
2y= 7.8-5.4
2y=2.4
y= 2.4/2
y= 1/2
Hence cheese sandwiches is £1.8
bottle water = £1.2
Answer:
The cashier has 23 dimes and 16 quarters.
Step-by-step explanation:
Let the amount of dimes = d.
And the amount of quarters = q.
We can write 2 equations with the given information.
d = q + 7 --- the amount of dimes is 7 more than the amount of quarters
0.1d + 0.25q = 6.3 --- a dime is 0.1 dollars and a quarter is 0.25 dollars
0.1(q + 7) + 0.25q = 6.3 --- we can substitute q + 7 for d because they have the same value and we need to have only 1 variable to solve
0.1q + 0.7 + 0.25q = 6.3 --- distribute multipliers outside the parenthesis
0.35q + 0.7 = 6.3 --- combine like terms
0.35q = 5.6 --- subtract 0.7 from both sides
q = 16 --- divide both sides by 0.35
The cashier has 16 quarters. We can use this to solve for dimes.
d = q + 7
d = 16 + 7
d = 23
The cashier has 23 dimes and 16 quarters.
0.1d + 0.25q = 6.3
0.1(23) + 0.25(16) = 6.3
2.3 + 4 = 6.3
6.3 = 6.3
The answer is correct.