Answer:
One solution
x = 3
Step-by-step explanation:
3x + 5 + 6x - 7 = 25
combine like terms:
9x -2 = 25
add 2 to each side of the equation:
9x = 27
divide both sides by n9:
x = 3
Answer:
Hey there!
The robot moves 63 cm in 9 seconds. Then in 1 second, it moves 7 cm.
If it goes 49 cm, it will take 7 seconds.
Let me know if this helps :)
Answer:

Step-by-step explanation:
The cotangent function can be rewritten by trigonometric relations, that is:
(1)
By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:
(2)
(3)
By (2) and (3) in (1), we have following expression:

If we know that
and
, then the result of the trigonometric expression is:


Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>