Answer:140 over 3
Step-by-step explanation: i got that answer but i dont think its the right
First you'll need two equations ( you can use any variables you want)
A= photo group 1
B= photo group 2
First equation:
A + B = 33
This is because the total number of photos from both groups is 33
Second equation:
4A = 7B
This is because the ratio is 4:7 so for every four photos in group A there must be 7 photons in group B.
Then take the first equation A + B = 33 and subtract B from both sides. Making the equation A = 33 - B
Then with that equation, substitute it in for equation 2 and it will look like this. 4(33-B) = 7B
Then distribute the 4 to the 33 and the -B making the equation 132 - 4B = 7B
Then add 4B to each side
Making the equation 132 = 11B
Then to get B by itself you must divide each side by 11 making the equation 132/11 = B which simplifies to 12 = B
Then plug in 12 for B in the first equation like this A + 12 = 33
Then subtract 12 on each side of the equation to isolate A so A = 21
So
A = 21
B = 12
Answer:
b = 9
Step-by-step explanation:
3(b − 6) = 9
3b - 18 = 9
3b = 9 + 18
3b = 27
b = 9
Answer:
![22 > x > 10](https://tex.z-dn.net/?f=22%20%3E%20x%20%3E%2010)
![10 < x < 22](https://tex.z-dn.net/?f=10%20%3C%20x%20%3C%2022)
Step-by-step explanation:
Given
![Side\ 1 = 6](https://tex.z-dn.net/?f=Side%5C%201%20%3D%206)
![Side\ 2 = 16](https://tex.z-dn.net/?f=Side%5C%202%20%3D%2016)
Required
Determine the inequality that represents the third side
Represent the third side with x.
For the triangle to be true, two of the following condition must be true.
![6 + 16 > x](https://tex.z-dn.net/?f=6%20%2B%2016%20%3E%20x)
![6 + x > 16](https://tex.z-dn.net/?f=6%20%2B%20x%20%3E%2016)
![16 + x > 6](https://tex.z-dn.net/?f=16%20%2B%20x%20%3E%206)
![6 + 16 > x](https://tex.z-dn.net/?f=6%20%2B%2016%20%3E%20x)
-- True
![6 + x > 16](https://tex.z-dn.net/?f=6%20%2B%20x%20%3E%2016)
![x > 16 - 6](https://tex.z-dn.net/?f=x%20%3E%2016%20-%206)
-- True
![16 + x > 6](https://tex.z-dn.net/?f=16%20%2B%20x%20%3E%206)
![x > 6 - 16](https://tex.z-dn.net/?f=x%20%3E%206%20-%2016)
--- False; Because, x can't be negative.
So, we have:
and ![x > 10](https://tex.z-dn.net/?f=x%20%3E%2010)
This can be combined to give:
![22 > x > 10](https://tex.z-dn.net/?f=22%20%3E%20x%20%3E%2010)
or
![10 < x < 22](https://tex.z-dn.net/?f=10%20%3C%20x%20%3C%2022)
The solution of the given system of equation is x = -3 and y = 4 respectively.
<h3>What is a system of linear equations?</h3>
A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
To know more about system of equations click on,
brainly.com/question/24065247
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