Answer:
0.7 hours
Step-by-step explanation:
Given that Irina was able to make the same distance from work to home in 0.4 of an hour at 27 miles per hour, we can use this rate and time to find the distance she travels to and from work using the general formula:
d = rt, where d=distance, r = rate and t = time
d = 27(0.4) = 10.8 miles
Since the distance from Irina's home to work is 10.8 miles, we can again use the formula 'd = rt' to find the time it takes her to bike to work at a rate of 16 miles per hour and solving for time, 't':
10.8 = (16)t
t = 0.7 hours
You should ask your parent/guardian
or teacher if needed! Merry Christmas!
Answer:
120 pounds
Step-by-step explanation:
65% of y= 78 pounds
× y = 78 pounds
65y = 78 × 100=7800
y= 7800/65= 120 pounds
Answer:
y = 3x + 23 and
Step-by-step explanation:
The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.
Now, 9x - 3y = - 69
⇒ 3x - y = - 23 {Dividing both sides by 3}
⇒ 3x + 23 = y
⇒ y = 3x + 23 {Interchanging the sides} (Answer)
The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.
Now, x - 3y = - 6
⇒ x + 6 = 3y
⇒ 3y = x + 6 {Interchanging the sides}
⇒ 
{Dividing both sides by 3}
⇒ (Answer)
Answer:
15600 ways
Step-by-step explanation:
In this case what we must is to calculate the number of permutations since the order does matter, we know that the alphabet has a total of 26 letters and are 3 names, the first, the middle and the last.
n = 26 and r = 3
nPc = n! / (n-r)! = 26! / (26-3)!
nPc = 15600
that is to say that there are a total of 15600 ways to form these names
