Answer:
Variables- x, y and z
Constants- 2 and 8
Coefficients- 3, 7, and 4
Step-by-step explanation:
Variables - The numbers we don't know/trying to find.
Constants- The numbers that remain fixed
Coefficients- The numbers in front of the variables
There are 300 jelly beans in the bag.
24÷6=4
4×2=8
5×2=10
5×6=30
30×10=300
Proof:
24/300 = ?/100
24×100=2400
2400÷300=8
Hope this helps! :)
Answer:
x=41
Step-by-step explanation:
0.25(x-13)=7
We move all terms to the left:
0.25(x-13)-(7)=0
We multiply parentheses
0.25x-3.25-7=0
We add all the numbers together, and all the variables
0.25x-10.25=0
We move all terms containing x to the left, all other terms to the right
0.25x=10.25
x=10.25/0.25
x=41
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
Answer:
B
Step-by-step explanation:
The graph of x² is known as the parent function. From it, all quadratics can be transformed to make their graphs. It can undergo a series of transformations like translations up/down/left/right or stretch and compression vertically and horizontally. Usually the equation can tell you you what transformations it undergoes. Since g(x) is the same equation as x² except for 4/5 this is a vertical compression. Since it is the leading coefficient under multiplication and 4/5 < 1, this is a compression vertically. Answer B is correct.
