Thats four questions, but okay :) 1.) 1 16/32 is just an hour and a half, and 1 2/8 is a hour and 15 minutes. that adds up to 2 hours and 3/4 or 2 hours and 45 minutes. 6-2 3/4 =3 1/4 hours, or 3 hours 15 minutes. 2.) convert the 1/3 and 2/5 into 10/30 and 12/30 so they have the same denominator, add them. that equals 22/30. now convert the 9/10 into 27/30 for easy subtraction. 27/30 minus 22/30 is 5/30, simplify that and it is 1/6. so betty needs a 1/6 of a gallon more. 3.) 32 6/12 is just 32 and 1/2. and thats 1/5 of his stuff. so take 32.5 and multiply it by 5, which equals 162.5 minutes. that is 2 hours 42 minutes, and 30 seconds. 4.) take 6 3/8 and multipy that by three for one week. that is 19.125. now multipy that by three since there are three weeks. that equals 57.375 which as a fraction is 57 3/8. so he would run 57 and 3/8 miles in three weeks of training. sorry about my spelling, im ust trying to type fast so you can get this fast. :)
Answer:
x=14
x=−2
Step-by-step explanation:
Factoring x2-12x-28
The first term is, x2 its coefficient is 1 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 1 • -28 = -28
Step-2 : Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12 .
-28 + 1 = -27
-14 + 2 = -12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
x2 - 14x + 2x - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-14)
Add up the last 2 terms, pulling out common factors :
2 • (x-14)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-14)
Which is the desired factorization
Answer:
don't know the answer but hope this helps
Substituting for a Variable
If you know the value that the variable is equal to, you can substitute that value in for the variable in the expression! Let's look at an example. Since we know that x=5, we can directly substitute or replace the x in the expression x+3 with a 5 to solve for y!
do a FOIL on it to get the product, or just use the binomial theorem to expand the binomial and simplify
Answer:
Distributive Property
Step-by-step explanation:
If the given statement is
5(72 – 3y) = 360– 15y
When we apply the distributive property to the left hand side we get;
When we simplify we get
Therefore the distributive property justifies the given statement.
