Answer:
Halloween question, perfect timing! Your answer would be 2 pounds per friend.
Step-by-step explanation:
Here's how we get this:
First, multiply 3/4 by 6. You'll get 4.5. Let's use a decimal for this equation.
Now, you'll divide 9 by 4.5, to get 2. There's our answer. But we want to double-check and see if it's right.
We can do that by multiplying 4.5 by 2, or 2 by 4.5.
4.5 x 2 = 9
Therefore, your answer is 2 pounds per friend.
Hope I helped! ☺
Substitute each value until the answer is correct
a. 1 = -4 x -5 -1
1 does not equal 19
b. 15 = -4 x 4 -1
15 does not equal -17
c. -5 = -4 x 1 -1
-5 equals -5
just to make sure the last answer is incorrect
d. -7 = -4 x 2 -1
-7 does not equal -9
Answer:
Number 1 is 12.
Step-by-step explanation:
{Solve by cross multiplication}
17 • x = 3 • (80 - x)
{Multiply 3 by distribution,}
17x = 240 - 3x
{Add 3x to both sides of the equation,}
20x = 240
{Divide through out by 20,}
20r/20 = 240/20
x = 12
Thus there were 12 pens :)
Applying the trig formula: sin a = cos (90 - a)
cos (2x + 8) = sin (x + 37) = cos (90 - x - 37) = cos (53 - x)
Property of the cosine function -->
(
2
x
+
8
)
=
±
(
53
−
x
)
a. 2x + 8 = 53 - x
3x = 45
x
=
15
∘
b. 2x + 8 = - 53 + x
x
=
−
61
∘
For general answers, add
k
360
∘
Check by calculator.
x = 15 --> sin (x + 37) = sin 52 = 0.788
cos (2x + 8) = cos (38) = 0.788. Proved
x = - 61 --> sin (x + 37) = sin (- 24) = - sin 24 = - 0.407
cos (2x + 8) = cos (-122 + 8) = cos (- 114) = - 0.407. Proved
