Answer:
Step-by-step explanation:
let blank be O
Answer:
$54.20
Step-by-step explanation:
minute=m
total monthly cost = p
39.99 + .49m = p
39.99 + .49(29) =p
39.99 + 14.21 =p
54.2 =p
Answer:25
Step-by-step explanation:
3s + 4j = 360
1s + 3j = 220
This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).
Now substitute into the first equation:
3(220 - 3j) + 4j = 360. Solve for jackets.
660 - 9j + 4j = 360 [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.
Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s = 40
Now we double check.
3(40) + 4 (60) = 120 + 240 = 360. This satisfies the first equation.
We could check the second one too, but I'm satisfied.
Answer:
The height of the kite from the ground is 13.617 feet
Step-by-step explanation:
Given as :
The measure of the string = 30 feet
The angle of elevation from the boy to his kite = 27°
Let the height of the kite from ground = H feet
So, From Triangle
Sin angle = 
Or, Sin 27° = 
or, H = 30 × Sin 27°
I.e H = 30 × 0.4539
∴ H = 13.617 feet
Hence the height of the kite from the ground is 13.617 feet Answer
