Answer:
x = -12,
Step-by-step explanation:
-1 + 5/4x = -16
5/4 x = -16 + 1
5/4 x = -15
x = -15 * 4/5
x = -12.
(128 oz) * (2 oranges)/(5 oz) * (1 bag)/(11.5 oranges) * $3.49/bag ≈ $15.54
Note that we have assumed 11.5 oranges per bag, and that partial bags are available.
If Chantal must buy whole bags of oranges, 5 bags will be needed and the cost will be $17.45.
Answer:
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
−
6
−
−
3
)
2
+
(
−
4
−
−
5
)
2
d
=
√
(
−
6
+
3
)
2
+
(
−
4
+
5
)
2
d
=
√
(
−
3
)
2+
1
2
d
=
√
9+
1
d
=
√
10
Or
d
=
3.162
rounded to the nearest thousandth
so... notice the picture below, the angle in the fourth quadrant
now... notice, the cosine is just the distance the angle makes with the x-axis
so... using the pythagorean theorem, get the opposite side, from that triangle, keeping in mind that, "y" is negative in the 4th quadrant
once you get "y", get any other trigonometry value you need :)
We have been given an expression 
. We are asked to find the solution to our given expression expressed as scientific notation.
Let us simplify our given expression.
Using exponent property 
, we will get:
Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:
Therefore, our required solution would be .
