Answer
r = -20
Step-by-step explanation
4r-8=5r+12
subtract 4r from both sides of the equation
-8=r+12
subtract 12 from both sides of the equation
-20 = r
Answer:
The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship ⇒ last answer
Step-by-step explanation:
* Lets explain how to sole the problem
- Proportional relationship describes a simple relation between
two variables
- In direct proportion if one variable increases, then the other variable
increases and if one variable decreases, then the other variable
decreases
- In inverse proportion if one variable increases, then the other variable
decreases and if one variable decreases, then the other variable
increases
- The ratio between the two variables is always constant
- Ex: If x and y are in direct proportion, then x = ky, where k
is constant
If x and y in inverse proportion, then x = k/y, where k is constant
* Lets solve the problem
# Last table
∵ x = 3 and y = 6
∴ x/y = 3/6 = 1/2
∵ x = 5 and y = 10
∴ x/y = 5/10 = 1/2
∵ 1/2 is constant
∵ x/y = constant
∴ x and y are proportion
* The ordered pairs (3 , 6) , (5 , 10) show a proportional relationship
Answer:
26
Step-by-step explanation:
First, add all the numbers together
23 + 24 + 27 + 25 + 26 + 23 + 21+ 32 + 29 + 30= 260
Then divide by the number of terms there are, in this case 10
260/10= 26
Answer:
4 × 6
Step-by-step explanation:
2^2= 4 or 2 × 2= 4
2^3= 6 or 2 × 2 × 2= 6
So, 4 × 6
ANSWER
The smaller angle is
.EXPLANATION
Let the angles be
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
If one angle is 4 times the other, we can then write the following equation,
We put equation (2) into equation (1) to get,
We divide through by 5 to obtain,
This implies that,
