Hello!
Solve for x:
4(2x+25)=20
Distribute the 4 to the numbers inside the parenthesis.
8x + 100 = 20
Subtract 100 from both sides of the equation to get 8x by itself.
8x = -80
Divide both sides by 8
x = -10
Answer:
Theta = 0, 60 degrees.
Step-by-step explanation:
2 sin^2 theta + 3 cos theta = 3
Using the identity sin ^2 theta = 1 - cos^2 theta :
2(1 - cos^2 theta) + 3 cos theta = 3
2 - 2cos^2 theta) + 3 cos theta = 3
2 cos^2 theta - 3 cos theta + 3 - 2 = 0
2 cos^2 theta - 3 cos theta + 1 = 0
(2 cos theta - 1)(cos theta - 1) = 0
cos theta = 1/2 , cos theta = 1
Theta = 60 degrees or theta = 0
Sally is 10 years old. <span>Her mother is five times older. </span>If this is put into an equation: x = (age of sally)(5)
x = (10)(5)
x = 50 years
Sally's mom is 50 years old.
Answer:
c. 6
Step-by-step explanation:
Given
See attachment for graph
Required
Average rate of change
This is calculated as:

Where

So, we have:


Using the attached graph, we have:


So, we have:



Answer:
For every 15 students scoring in the 60's there were 9 students scoring in the 70's.
Step-by-step explanation:
Your first step would be to rewrite the numbers into an easier to understand form like fractions, 45/3 and 27/3. Then you divide both numbers by 3, so you get comparable numbers. 45/3= 15, 27/3=9.