Answer:
she messed up on step two because she has to subtract 10 from both sides
Step-by-step explanation:
step 1: -6(x+3)+10<-2
step2:-6(x+3)+10-10<-2-10
step3: -6(x+3)<-12
step4: (-6)(x+3)(-1)≥(-12)(-1)
step5:6(x+3)>12
step6:divide both sides by 6
step7:simplify and subtract 3 from both sides and then simplify again
Answer:
54,18
Step-by-step explanation:
for example the number 36 can be as a product of primes as 36=2 exponents two x 3 exponents 2 the expression 2 exponents 2 x 3 exponents 2 is said to be on the prime factorization of 36
Alright so all we are doing is adding 7/10 and 1/2
But sometimes that can be difficult because they don’t have the same denominator
In that case, we want to give them the same denominator (bottom number if the fraction)
So we do this by multiply 1/2 by 5/5 which will get you 5/10
We now have 5/10 and 7/10 which both have the same denominator (10)
So add them together and you will get 12/10
Now that’s more than 1 gallon so let’s figure out how much more
So 12/10 -10/10 (full gallon) = 2/10
So she used 1 2/10 gallons
If you want it in decimal form then it’s 1.2 (divide 2 by 10)
Hope that helped!
Answer:

Step-by-step explanation:
Three cards are randomly selected from a standard 52-card deck.
Number of heart cards in a deck = 13
Each card replaced in the deck before the next one is picked.
Probability of first card is heart = 
After replacement, the probability of second card is heart = 
after replacement, the probability of third card is heart = 
P =
×
× 
= 
= 
The probability of all three cards are hearts is 
To solve this problem, we need to factor 36 and 80, then find greatest common factor, and divide numerator and denominator by this greatest common factor.
36/80 = (4*9)/(4*20)= 9/20
Answer A. 9/20.