Answer: (this is solving for m)
m= −4
/7
n + −8
/7
Step-by-step explanation:
7m + 4n + 8+ −4n =0 + −4n
7m + 8= −4n
7m + 8 + −8 = −4n + −8
7m = −4n − 8
7m
/7 = (−4n − 8 )
/7
m= −4
/7
n + −8
/7
To answer this we will find the unit rate by dividing. Lets do it:-
10.43 ÷ 7 = 1.49
1 pound of grapes = $1.49
CHECK OUR WORK:-
1.49 × 7 = 10.43
we were RIGHT!!!
Now lets multiply to see how much 3 pounds would cost.
1.49 × 3 = 4.47
CHECK OUR WORK:-
4.47 ÷ 3 = 1.49
We were RIGHT!!
So, 3 pounds of grapes cost $4.47.
Hope i helped ya!!
<u>Answer:</u>
On day lily will first water her flower and trees together.
<u>Explanation:</u>
Lilly waters her flowers every 4th day and her trees every 11th day
So the first day when she will water flower and trees together is the LCM of 4 and 11.
LCM is the Least Common Multiple of the given numbers.
So here the LCM of 4 and 11 is
So the first day will be on day (after 1 month 14 days).
Answer:
c. 108.4
Step-by-step explanation:
cos theta = (u dot v)/ (||u|| ||v||)
where dot stands for dot product and || || is the magnitude
u = (1,5) v= (7,-4)
u dot v = (1*7 + 5*-4) = 7-20 = -13
||u|| = sqrt( 1^2 +5^2) = sqrt(1+25) = sqrt(26)
||v|| = sqrt(7^2 + (-4)^2) = sqrt(49+16) = sqrt(65)
cos theta = -13/ sqrt(26) sqrt(65)
cos theta = -13 /sqrt(1690)
theta = arccos (-13/sqrt(1690))
theta = 108.43