Answer:
1. 32
4:4 is the same as 1:1 meaning each one gets the same
2. 40
put 1/7 equal to 5/x and cross multiply (1x=35)(35 male workers, so add 35 to 5 female workers)
3. 8
Multiply two by 4 since an hour is 15×4
4. 188
put the ratio 7/330 to 4/x (7x=1320)(x=188.57) since you can use part of a nail, round down to 188.
5. 5 1/2 pounds
multiply 1/4 by 22 which is 22/4. that is equal to 5.5
Answer:
the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Step-by-step explanation:
We need to factorise the function 
If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50
Checking few numbers:
So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of 
by (x-2) to find other factors
The long division is shown in figure attached.
After long division we get: 
The equation can be further simplified as: (x+5)(x+5) or (x+5)^2
So, the factors of f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)
Answer:
$1,774
Step-by-step explanation:
The decrease is 2 weeks out of 52, or 1/26 of the annual pay:
decrease = (1/26)($46,124) = $1,774
The PR specialist should expect his annual pay to decrease by $1774.
Dilation because the sides will not be the same size as the original
Add all the coins to get total coins:
6 + 8 + 12 + 3 = 29 total coins
Subtract dimes to find total of the coins that are not dimes:
29 -6 = 23
Probability of not picking a dime is the number of coins that aren’t dimes over total coins:
23/29
