The product of 5 and a number x is 14 . What is the value of x?
2 answers:
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Answer:
The new crew and the experience crew working together can paint the apartment in 4 hours.
Step-by-step explanation:
Given:
Time taken by new crew of painters to paint an apartment = 12 hours
Time taken by experience crew of painters to paint an apartment = 6 hours
To find the time taken by them to paint the apartment working together.
Solution:
Using unitary method to determine their 1 hour work.
In 12 hours the new crew can paint = 1 apartment
So,in 1 hours the new crew can paint = of the apartment
In 6 hours the experience crew can paint = 1 apartment
So,in 1 hour the experience crew can paint = of the apartment
Now, the new crew and the experience crew are working together.
So, in 1 hour, they can paint :
⇒
Taking LCD = 12, we will add fraction.
⇒
⇒
Simplifying fraction we have:
⇒ of an apartment
Again using unitary method to determine the time taken by them working together to paint the whole apartment.
They can paint of an apartment in 1 hour.
To paint 1 apartment they will take = hours
Thus, the new crew and the experience crew working together can paint the apartment in 4 hours.
Answer: 500 people
Step-by-step explanation:
Let there are x people in the survey.
According to the question,
People who like football as their favorite sports = 42 % of x = 0.42 x
People who like baseball as their favorite sports = 33 % of x = 0.33 x
People who like soccer as their favorite sports = 25 % of x = 0.25 x
But, 210 people said football was their favorite sport.
⇒ 0.42 x = 210
⇒ 42 x = 21000
⇒ x = 500
Therefore, there are 500 people in the survey.
Answer:
Step-by-step explanation:
We are given the expression:
There are no common factors between the four numbers, however the first two have a common factor and the last two do too. Therefore, we can factor by grouping.
Group the first two terms and the last two.
Find the greatest common factor (GCF) of the first group. It is 5g². Factor it out of the first group. You can do this by dividing both terms by the GCF.
- 10g³/5g²= 2g
- -25g²/5g² = -5
Repeat with the second group. The GCF is 2.
- 4g/2 = 2g
- -10/2= -5
There is another GCF: 2g-5. We can factor this out of both terms.
- 5g²(2g-5)/2g-5= 5g²
- 2(2g-5)/ 2g-5=2
This cannot be factored further, so it is the answer.