Part A
Step-by-step explanation:
4x − 1 ≤ 19 is the same as
4 times 5 minus 1 = 19
So 19 ≤ 19
The symbol ≤ means that the number on the left of the sign is smaller OR EQUAL TO the number on the right
19 is not smaller than 19 but is equal to 19
The symbol < means only that the number on the left is smaller than the number on the right
Part B
Answer:
9
Step-by-step explanation:
5x + 2 = 47
We need the x ( which is the unknown number) to be by its self on one side of the equation ( or the equal sign)
The equation expanded is:
5 * x + 2 = 47 (the symbol * is the times symbol)
Firs we can move the 2 to the other side by taking away the two from the left of the equation and moving it to the right
5x + 2 = 47
-2 -2
To take away the two on the left of the equation we do 2-2 which is 0. And whatever we do on one side of the equation we have to do on the other so 47-2 which is 45
Now the equation looks like:
5x = 45
Now remember that 5x is actually 5 times x
So
5 * x = 45
Now we need to have only x on the left side so we need to move the 5 to the right
To do this we have to make * 5 turn into 0
The opposite of times is divide so we divid the 5 by 5
5/5= 0
Now we do the same on the other side of the equation
5x = 45
5x/5 = 45/5
x = 9
So now x is by its self we can see x = 9
So the answer is
9
C) 90, similar shapes maintain angle measures, and are a fraction of a size of the original shape. (A ratio if you will.)
Consider that
![0.4 = \dfrac{4}[10} = \dfrac{2}{5}](https://tex.z-dn.net/?f=%200.4%20%3D%20%5Cdfrac%7B4%7D%5B10%7D%20%3D%20%5Cdfrac%7B2%7D%7B5%7D%20)
This means that a sport has a 0.4 chance of being sold out if 2 out of 5 events are sold out.
Rugby 7s has 3 out of 5 events sold out
Juntior athletics has 3 out of 5 events sold out
Volleyball has 2 out of 5 events sold out, so this is the sport you're looking for.
As for the second question, rugby and athletics are both sold out on two events (events 1 and 5). So, again, the chance is of 2 out of 5 events, which leads to a probability of ![\frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20)
Answer:
The length is 16.1 ft and the width is 4.7 ft
Step-by-step explanation:
Let
x -----> the total length of the tables
y -----> the width of the tables
we know that
The area is equal to
![A=xy](https://tex.z-dn.net/?f=A%3Dxy)
![A=75\ ft^{2}](https://tex.z-dn.net/?f=A%3D75%5C%20ft%5E%7B2%7D)
so
-----> equation A
-----> equation B
substitute equation B in equation A
![75=(3y+2)y](https://tex.z-dn.net/?f=75%3D%283y%2B2%29y)
![3y^{2} +2y-75=0](https://tex.z-dn.net/?f=3y%5E%7B2%7D%20%2B2y-75%3D0)
Solve the quadratic equation by graphing
The solution is ![y=4.7\ ft](https://tex.z-dn.net/?f=y%3D4.7%5C%20ft)
Find the value of x
![x=3(4.7)+2=16.1\ ft](https://tex.z-dn.net/?f=x%3D3%284.7%29%2B2%3D16.1%5C%20ft)
therefore
The length is 16.1 ft and the width is 4.7 ft
Answer:
x=9
Step-by-step explanation:
4=-1+x/2
*2 . *2
8=-1+x
+1 . +1
9=x