Answer: In first question answer is -28x+4
In second question required inequality is 3x+100 < 2x-250
Step-by-step explanation:
1. Since, here the given expression is 4(x+5)-8(2+4x)
= 4x+20-16-32x ( By distributive property)
=-28x +4 ( By operating like terms)
2. Here, let the number is x.
Then according to the given question, three times the number of candy is increased by 100
That is, 3x+100
And, 250 less than the two times of the candy
That is, 2x-250
And, 3x+100>2x-250
Which is the required expression.
Hence she should subtract 250 from 2x not 2x from 250.
Answer:
15
Step-by-step explanation:
To get the next number you have to subtract by 9, 51-9=42, 42-9=33, 33-9=24, and so 24-9=15. The pattern is n-9 (n=previous number) and the answer is 15
To solve this we'll put the question in this format: x% of y things = z things
We have the percent so we'll put in 60 for x.
Now the total number of balls will be considered y since we have the number of red balls but not blue ones. so we end up having..
60% of y balls = 720 balls
Of is another word for multiplication, therefore:
60/100*y=720
Solve for y
y=1200
So we have 1200 balls
In order to simplify this you need a common denominator. 15 works well for this. in order to keep the expression equivalent, we must multiply everything by the same thing, but we can format it in any way we like. we need to multiply everything by 1, but we can rewrite 1 by putting a number over itself, such as 5/5 and 3/3.
so we need to get both denominators to equal 15 but we can only multiply by 1. this means we need to multiply 4x/5 by 3/3 and 2x/3 by 5/5. when we do this we get 12x/15-10x/15
next, we simply combine like terms to get 2x/15 as our final answer