<span>3(x + 5) = 2(3x + 18)
Use the distributive property:
3(x)+5(3)=2(3x)+18(2)
Simplify:
3x+15=6x+36
6x+36=3x+15
3x+36=15
3x=-21
x=-7
Check answer:
3(-7+5)=2(-21+18)
3(-2)=2(-3)
-6=-6
Hope this helps :)
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Answer:
Step-by-step explanation:
- Option A
![[x+5=20]](https://tex.z-dn.net/?f=%5Bx%2B5%3D20%5D)
tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
- Option B
![[x=5]](https://tex.z-dn.net/?f=%5Bx%3D5%5D)
tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too. - Option C
tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality. - Option D
![[x+5]](https://tex.z-dn.net/?f=%5Bx%2B5%5D)
is an expression; It can't be called an equation or an inequality unless we relate it with another expression.
162.50÷6.5x=162.50 +x
162.50÷6.5=25
162.50+25=187.50
Rosas monthly salary after her raise is $187.50
There are 10 mm in 1 cm, so 180 mm is really just 18cm and 60 mm is just 6cm.
so how much area each box's base takes up? 18x6 centimeters, or 108cm.
the shelf is a 65x35 so is 2275 centimeters in available area.
how many times does 108 go into 2275? well, 2275/108, that many would fit in the shelf
To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is
= t₁ + (n-1)d, with
being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what
is. When substituting, the equation becomes:
= 12 + 29(-6)
= -162
That means that the 30th term in this arithmetic sequence is
-162.
