Answer:
y=3x-38
Step-by-step explanation:
We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.
Y=3x-38
Hope this helps! :)
Answer: $ 14
Step-by-step explanation:
Since, the cost of 1 pair of socks = x
The cost of 6 pair of socks = 6 x
Total amount spend = $ 40
According to the question,
6 x - 14 = 40
6 x = 40 + 14
6 x = 54
x = 9
Thus, the original price of one pair of socks = $ 9
⇒ The original price of 6 pairs of socks = $ 54
Hence, the total change = original price of socks - the price of socks in the sale = 54 - 40 = $ 14
Answer: A
Hope this is helpful.
Step-by-step explanation:
Try to solve using simultaneous equations with each answer given.
x + 2y = 5
x = 5 - 2y
Plug this into each equation
A 2(5 - 2y) + 4y = 3
10 - 4y + 4y = 3
10 = 3 in consistent
B 5(5 - 2y) + 2y = 3
25 - 10 y + 2y = 3
25 - 8y = 3
8y = 22
y = 2.75
Using original equation solve for x
5x + 2(2.75) = 3
5x + 5.5 = 3
5x = -2.5
x = -0.5
Using original equation,
(-0.5) + 2 (2.75) = 5
-0.5 + 5.5 = 5 consistent
C 6x + 12y = 30
6(5 - 2y) + 12y = 30
30 - 12y + 12 y = 30 consistent for every value of y
D 3(5 - 2y) + 4y = 8
15 - 6y + 4y = 8
- 2y = -7
y = 3.5
x = 5 - 2y
x = 5 - 7
x = -2
Solving for x
3(-2) + 4(3.5) = -6 + 14 = 8 consistent
So A is the correct answer
Answer:
The sample size should be 273 students
Step-by-step explanation:
Here Raina wants to use 90% interval then
ME = z. SE
SE = s d/√n at end
ME/z = s d/√n
n={z.sd/ME)²
Z = 1.65 =>due to 90%confidence interval
ME= 24
sd=250
putting these value in the question we get 273 students
Answer:
The ships are 66 meters apart.
Step-by-step explanation:
For the sake of convenience, let us label ships A and B
As shown in the figure, the distances to the ships from right triangles.
The distance to the ship A is 
and it is given by
And the distance to the ship B is 
and is given by
Therefore, the distance 
between the ships A and B is
In other words, the ships are 66 meters apart.
