A. -2 is the correct answer for the rate of change
The answer is -1 because when cross simplifying you get 0/2-2/0 which =-2/2 and that simplified is -1
The answer is -1
Answer:
12.75w + 25 = 114.25
w = 7
Step-by-step explanation:
since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet) we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.
to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:
12.75w = 89.25
now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.
now there's nothing left to take out to isolate w, so we have:
w = 7
sarah saved up for 7 weeks.
Answer:
b. Binomial distribution.
Step-by-step explanation:
As a manufacturer is interested in the number of blemishes or flaws occurring every 100 feet of material which shows that only two possible outcomes with fixed number of trials are present here, so the probability distribution that has the greatest chance of applying to this situation is a binomial distribution that summarizes the possibility that a value will take one of two independent values under a provided set of parameters.
The answer is: "
270 minutes " .
__________________________________________________________ → There are "
270 minutes" in "4 hours and 30 minutes" .
__________________________________________________________Explanation:__________________________________________________________Method 1):__________________________________________________________ Note: 60 minutes = 1 hour (exactly);
30 minutes =
? hr ? ;
→ (30 minutes) * (1 hr/ 60 minutes) ;
= (30/60) hr
= (3/6) hr
= (3÷3)/(6÷3) hr ;
= "
hr " ;
or; write as: "
0.5 hr " .
_________________________________________________________So "4 hours & 30 minutes" = 4 hours + 0.5 hours = 4.5 hours.
→ 4.5 hours
= ? minutes ;
The answer is: " 270 minutes" . 4.5 hours *
;
= (4.5 * 60) minutes
= "
270 minutes " .
→ The answer is: "
270 minutes ".
___________________________________________________________
Method 2) ___________________________________________________________ "4 hours and 30 minutes" =
<u> ? </u> minutes " .
___________________________________________________________→ " 4 hours
= <u> ? </u> minutes " ;
→ 4 hr . *
= (4 * 60) minutes
= 240 min. ;
→ There are " 240 minutes in 4 hours" .
→ To find the number of "minutes" in "4 hours and 30 minutes" ;
→ we takes the number of minutes in 4 hours—which is "
240 minutes"—and add "
30 minutes" to that number; as follows:
→ "
240 minutes + 30 minutes " ;
to get: "
270 minutes " .
_______________________________________________________ → There are "
270 minutes" in "
4 hours and 30 minutes" .
_______________________________________________________
The answer is: "
270 minutes " .
_______________________________________________________