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:
(5 - 7i)(8 + i)
F) 40 - 561
H) 37 - 371
K) -16 - 2i
G) -33 - 61i
J) 47 - 51i
- 9 below
Step-by-step explanation:
Answer: y=-3/4x-2
Step-by-step explanation:
Write an equation of a line in slope-intercept from with the given slope, slope:–3/4, y-intercept: –2
The y-intercept is at (0,-2)
Then we write the equation using y=mx+b becuase that is the point slope form.
m=-3/4 which was given in the question
because y-intercept is at (0,-2)
y=-2
x=0
-2=-3/4(0)+b
-2=0+b
-2=b
now we know that m is -3/4 and b is -2
Hence the equation is y=-3/4x-2
The system of linear equations represents the situation is;
x + y = 125
x + y = 1255x + 8y = 775
<h3>Simultaneous equation</h3>
Simultaneous equation is an equation in two unknown values are being solved for at the same time.
let
- number of quick washes = x
- number of premium washes = y
x + y = 125
5x + 8y = 775
From equation (1)
x = 125 - y
5x + 8y = 775
5(125 - y) + 8y = 775
625 - 5y + 8y = 775
- 5y + 8y = 775 - 625
3y = 150
y = 150/3
y = 50
x + y = 125
x + 50 = 125
x = 125 - 50
x = 75
Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.
Learn more about simultaneous equation:
brainly.com/question/16863577
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The numbers are 9 and 27.