Step-by-step explanation:
(7 + x) / 3 = 2x - 5
7 + x = 3(2x - 5) (multiply 3 on both sides)
7 + x = 6x - 15 (distributive property)
5x = 22 (arrange like terms)
x = 4.4 (divide 5 on both sides)
Answer:
I HAVE NO CLUE BUT HAVE A NICE DAY....
<span>–4 • (–6.2 + 5) = –4 • (-6.2) + (–4) • 5 it is the so called
</span><span>distributive property
so the answer is
</span><span>B.distributive property</span>
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.
Hello.
In order to solve a proportion, you should cross-multiply:
![\displaystyle\frac{7}{x} =\frac{5}{9}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B7%7D%7Bx%7D%20%3D%5Cfrac%7B5%7D%7B9%7D)
Multiply 7 times 9 and 5 times x:
5x=63
Divide both sides by 5:
x=![\displaystyle\frac{63}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B63%7D%7B5%7D)
Now let's solve the second proportion.
Multiply 8p times 6 and 12 times 15:
48p=180
Divide both sides by 48:
p=3.75
I hope it helps.
Have an outstanding day.
![\boxed{imperturbability}](https://tex.z-dn.net/?f=%5Cboxed%7Bimperturbability%7D)