Answer:
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
Step-by-step explanation:
We have the following:
x = the speed of the jet in still air.
y = the speed of the wind
we know that the speed is equal to:
v = d / t
therefore the distance would be:
d = v * t
if we replace with the information of the exercise we have:
3 * (x + y) = 1095
3 * (x - y) = 987
we must solve this system of equations, add both equations and we are left:
3 * x + 3 * y = 1095
3 * x - 3 * y = 987
3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987
6 * x = 2082
x = 2082/6 = 347
now to calculate y, we replace:
3 * (347 + y) = 1095
1041 + 3 * y = 1095
3 * y = 1095 - 1041
y = 54/3 = 18
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
Given:
The pair of expressions in the options.
To find:
The two expressions are equivalent for any value of y.
Solution:
Two expressions are equivalent for any value of y, iff they are equivalent.
![3(3y+3)=3(3y)+3(3)](https://tex.z-dn.net/?f=3%283y%2B3%29%3D3%283y%29%2B3%283%29)
![3(3y+3)=9y+9](https://tex.z-dn.net/?f=3%283y%2B3%29%3D9y%2B9)
Clearly,
is not equivalent to
or
. So, options A and B are incorrect.
![9(y+3)=9(y)+9(3)](https://tex.z-dn.net/?f=9%28y%2B3%29%3D9%28y%29%2B9%283%29)
![9(y+3)=9y+27](https://tex.z-dn.net/?f=9%28y%2B3%29%3D9y%2B27)
![9(y+3)=27+9y](https://tex.z-dn.net/?f=9%28y%2B3%29%3D27%2B9y)
The expression
is not equivalent to
. So, option C is incorrect.
The expression
is equivalent to
.
Therefore, the correct option is D.
Answer:
which table?
Step-by-step explanation:
im assuming it would look like this
1 24
2 48
3 72
4 96
5 120
6 144
7 168
8 192
9 216
10 240
just multiply the number of loaves to 24
Hope this helped :)
Answer:Let x be the number of full cup sold Let y be the number of half cup sold Whether the cup was full or not, they used 37 cups. Therefore, x + y = 37 How much money did they make selling half cup lemonade? They made y × 0.25 How much money did they make selling full cup lemonade? They made x × 0.50 Money made selling full cup + money made selling half cup = 15 x × 0.50 + y × 0.25 = 17 You end up with a system of linear equation to solved x + y = 37 x × 0.50 + y × 0.25 = 17 x + y = 37 equation 1 0.50x + 0.25y = 17 equation 2 Solve for y in equation 1 x + y = 37 x - x + y = 37 - x y = 37 - x Replace y in equation 2 0.50x + 0.25 (37 - x) = 17 0.50x + 0.25 × 37 - 0.25x = 17 0.50x + 9.25 - 0.25x = 17 0.25x + 9.25 = 17 0.25x + 9.25 - 9.25 = 17 - 9.25 0.25x = 17 - 9.25 0.25x = 7.75 Divide both sides by 0.25 0.25x/0.25 = 7.75/0.25 x = 31 y = 37 - x = 37 - 31 = 6 Sasha and Francisco sold 31 full cup and 6 half cup of lemonade It seems like people love their lemonade
Step-by-step explanation:
hoped this helpedddd
Answer: B.792
Step-by-step explanation: