Answer:
The quotient of (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)
is 2x2 + 5x + 2.
Step-by-step explanation:
Answer:
jo mamma
Step-by-step explanation:
Answer:
the cost of one hot chocolate is $2.
Step-by-step explanation:
Let x be the hot chocolate cost and y be the newspaper cost.
Given:
A newspaper and three hot chocolates cost $7
So, the equation is
--------(1)
Two newspapers and two hot chocolates cost $6
So, the second equation is.
---------(2)
Find one hot chocolate cost?
Solve equation 1 for y.
![3x+y=7](https://tex.z-dn.net/?f=3x%2By%3D7)
![y=7-3x](https://tex.z-dn.net/?f=y%3D7-3x)
Put y value in equation 2
![2x+2(7-3x)=6](https://tex.z-dn.net/?f=2x%2B2%287-3x%29%3D6)
![2x+14-6x=6](https://tex.z-dn.net/?f=2x%2B14-6x%3D6)
![14-4x=6](https://tex.z-dn.net/?f=14-4x%3D6)
![-4x=6-14](https://tex.z-dn.net/?f=-4x%3D6-14)
![-4x=-8](https://tex.z-dn.net/?f=-4x%3D-8)
negative sign is cancelled both side.
![x=\frac{8}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B8%7D%7B4%7D)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Therefore, the cost of one hot chocolate is $2.
So basically
D=RT
distance=rate times time
D=233
carlos speed=55
maria speed=50
total time=4.4 hours
so therefor we have to represent
carlos time
maria time
carlos distance
maria dstance
let's say that
remember that whatever carlost drove is 233 minus maria (time and distance)
and since we are solving for maria time and distnace, solve in terms of them
maria time=t
maria distance=d
carlos time=4.4-t
carlos distance=233-d
remember total D=RT
find their seperate equations
carlos
233-d=55(4.4-t)
maria
d=50(t)
use them to solve
233-d=55(4.4-t)
subsitute 50(t) for d
233-50t=55(4.4-t)
add 50t to both sides
233=55(4.4-t)+50t
distribute using distributiver protperty (a(b+c)=ab+ac)
55(4.4-t)=242-55t
233=242-55t+50t
add like terms
233=242-5t
add 5t to both sides
233+5t=242
subtract 233 from both sides
5t=9
divdie both sides by 5
t=1.8
maria drove 1.8 hours
the answer is A
-12x - 0.4 > 0.2(36.5x + 80) - 55 Remove the brackets.
-12x - 0.4 > 7.3x + 16 - 55 Combine the like terms on the right
-12x - 0.4 > 7.3x - 39 Add 12x to both sides
- 0.4 > 7.3x + 12x - 39
- 0.4 > 19.3x - 39 Add 39 to both sides.
-0.4 + 39 > 19.3x Combine like terms on the left
38.6 > 19.3x Divide by 19.3
38.6 / 19.3 > x
2 > x