Answer:
The answer for the question "What is the constant of proportionality?" is 2.
The answer for the question "If Micah saves $150, How much money will his parents give him?" is $300.
Step-by-step explanation:
a. If for every $5, Micah will receive $10 more that means that he will receive the double of his initial saving. So, a number that multiplied by 5 is equal to 10 is 2. Therefore, the proportionality equation will be Y=2X, where Y is 10 and X is 5. In cunclusion, 2 is the constant of proportionality.
b. Having in mind that the equation is Y=2X, and that X is equal to Micah's savings, we need to replace that X with 150. Then, 150 is multiplied by 2 and the result is Y, in this case 300. So, Micah's parents will give him $300 if he saves $150.
Answer:
Step-by-step explanation:
Use distributive property to simplify both sides.
Use the Golden Rule of Algebra: (<em>What</em><em> </em><em>we</em><em> </em><em>do</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>,</em><em> </em><em>we</em><em> </em><em>must</em><em> </em><em>do</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>)</em><em>.</em>
Answer:
The 2nd number in the sequence is 
Step-by-step explanation:
Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10
We are given that The sum of 6 even integers is 130.
So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130
12x+30=130
12x=100
So,the 2nd number in the sequence is
<h3>multiply 60 by 1/4 to get the amount spent on notebooks</h3>
<h3>60 × ¼</h3>
<h3>= 15</h3>
<h3>next subtract 60 by 15 to get the amount Tamera has to spend for her other school supplies</h3>
<h3>60 - 15 = 45</h3>
<h3>your answer should be $ 45.00</h3>
hope that helps and plss let me know if you have any related questions :))
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
