Number of cookie boxes bought by James = 5
Number of cakes bought by James = 2
Cost of each cakes = $4
Total bill paid by James = $28.50
Let us assume the cost of the each boxes of cookies = x
Then
5x + (2 * 4) = 28.50
5x + 8 = 28.50
5x = 28.50 - 8
5x = 20.50
x = 20.50/5
= 4.10
So we can see from the above deduction that the cost of each boxes of cookies bought by James is $4.10
Answer: x = 12.124
y = 14
Step-by-step explanation:
In a 30, 60, 90 triangle, the side opposite the 30° angle is half the length of the hypotenuse. So y = 14.
7/sin(30) = 14
You can use the Pythagorean Theorem to calculate x.
14^2= 7^2 + x^2
196 - 49 = x^2
147 = x^2
sr/rt 147 = sq/rt x^2
12.124 = x
Or with trig
7/tan(30)= 12.124
Solve for y on one of the questions. I'll do the second one. it will be y=3.25x+0.75. Plug it in for y in the other problem like this: -4.5x-2(3.25x+0.75). Solve. X= 5.5 and Y=18.625
Answer:
First question: A, Second question: B
Step-by-step explanation:
0.5= 1/2
0.25= 1/4
0.4= 2/5
Now, insert these numbers, as fractions, back into the equation:

Following PEMDAS you will get 1 as your answer.