MATHEMATICS MIDDLE SCHOOL

34 + 6x = 2 + 4(4x - 7)

Answers

Answer 1

Answer:

x = 6

distribute the bracket on the right side of the equation and simplify

34 + 6x = 2 + 16x - 28

34 + 6x = 16x - 26 ( subtract 16x from both sides )

34 - 10x = - 26 ( subtract 34 from both sides )

- 10x = - 60 ( divide both sides by - 10 )

x = 6

Answer 2

Answer: So basically it's a lot of collecting like terms, but x=6

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G(x)=x-4 Can you evaluate this problem if so how?

Answers

You cannot evaluate for (g o f)(0). You will get an undefined answer.

(g o f)(x) tells you to plug in the f(x) function for the x-variable in the g(x) equation; so it would be like saying g(f(x)). This would result in (g o f)(x) = (1/x) - 4. Now plug in 0, (g o f)(0) = 1/0 - 4. One cannot divide by zero in order to simplify the equation and get an answer... unless an undefined answer counts, which I'm pretty sure it doesn't.

3 is 20% of what number

Answers

First: (20/100)x = 3
Second: 20x / 100 = 3
Third: 20x = 3 * 100
Fourth/Final: x = 3*100/ 20 = 15
Answer:
15

Hi!

3 ⇒ 20%
x ⇒ 100%

20x = 3·(100)
20x = 300
x = 300/20
x = 30/2
x = 15

Answer:

3 is 20% of 15

4) At the end of the summer, I decide to drain the swimming pool. I noticed that it drains faster when there is more water in the pool. That was interesting to me, so I decided to measure rate at which it drains. I found that it was draining at a rate of 3% every 5 minutes How many gallons are left in the pool after 50 minutes?

Answers

Final answer:

After 50 minutes, the pool has 73.74% of its initial water left, meaning it drained 26.26% of the initial water. To represent this remaining amount in gallons, it would be 0.7324 times the initial volume (in gallons).

Explanation:

To answer your question regarding the amount of water left after draining the pool for 50 minutes with a drain rate of 3% every five minutes, it is important to understand that the reduction occurs in a compound manner. This means each time we are dealing with 97% (100% - 3%) of the previous total.

So after 10 iterations (equaling to your 50 minutes since each iteration is 5 minutes long), we are left with (0.97)^10 = 73.74% of the initial total. That means 26.26% of the water has been drained.

In terms of gallons, if X represents the initial volume of water in the pool, then 0.7324 * X gallons remain after 50 minutes. Without knowing the initial volume of the pool, it is impossible to give a precise value in gallons.

Learn more about Compound Reduction here:

brainly.com/question/35909343

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The next 10 months Colin wants to save $900 for his vacation he plans to save $75 each of the first eight months how much must he save each of the last two months in order to meet his goal if he saves the same amount each month

Answers

$300 because 300x2=600 then 75x8=300 and 600+300=900

Juanita runs every third day and swims every fifth day. If Juanita runs and swims today, in how many days will she run and swim again on the same day?